I Need help with this (if you can’t see zoom in)

I Need Help With This (if You Cant See Zoom In)

Answers

Answer 1

Answer: 45 (depends on what the rightmost angle is)

Step-by-step explanation:

All angles of a triangle add up to 180 degrees.

Two angle measures are provided, 100 and 35 (?)

Add up the two to get 135, and subtract from 180

180 - 135 = 45 degrees.

I might be seeing the rightmost angle measure wrong but I think it's 35, if it's not you can still apply the same strategy, just add the two given angles and subtract that from 180 to find x.

Answer 2
*I can’t tell if the degree number on the bottom is a 15 or 35, sorry.*
Answer: All triangles add up to be 180 degrees. So to find x, you can simply subtract 180 from the 100 degrees and (whatever number is on the bottom). That will equal x. Hope that helped!

Related Questions

50 POINTS AND BRAINLYEST Triangle NMO has vertices at N(−5, 2), M(−2, 1), and O(−3 , 3). Determine the vertices of image N′M′O′ if the preimage is reflected over x = −1.

N′(5, −2), M′(2, 1), O′(3, 3)
N′(−5, 5), M′(−2, 3), O′(−3, 7)
N′(3, 2), M′(0, 1), O′(1, 3)
N′(−5, −2), M′(−2, −1), O′(−3, −3)

Answers

Answer:

N'(3, 2), M'(0, 1), O'(1, 3)

Step-by-step explanation:

Please sketch the graphs of the two triangles and the line of reflection to confirm my answer.

Since NMO is reflected over the line

x = -1, the y-coordinates of N'M'O' will remain the same. Since the x-coordinate of N is at -5, which is 4 units to the left of the line of reflection, the x-coordinate of N' is at -1 + 4 = 3. Since the x-coordinate of M is at -2, which is 1 unit to the left of from the line of reflection, the x-coordinate of M' is at -1 + 1 = 0. Since the x-coordinate of O is at -3, which is 2 units to the left of the line of reflection, the x-coordinate of O' is at -1 + 2 = 1. So the vertices of N'M'O' are at (3, 2), (0, 1), and (1, 3).

A veterinarian measures the weight of each puppy in a litter. She records the puppies' weights in pounds. Puppy Weights: 2. 9, 3. 0, 3. 1, 3. 1, 3. 2, 3. 3, 3. 3, 3. 4, 4. 4 The veterinarian removes the outlier of the data. By how many pounds, rounded to the nearest hundredth of a pound, will the mean of the data change with the removal of the outlier?

Answers

The mean of the puppy weights changes by 0.14 pounds.

To determine how the mean of the puppy weights changes with the removal of the outlier, follow these steps:

1. First, identify the outlier in the given data set: Puppy Weights: 2.9, 3.0, 3.1, 3.1, 3.2, 3.3, 3.3, 3.4, 4.4. The outlier is 4.4 as it is significantly higher than the rest of the values.

2. Calculate the mean with the outlier: Add all the weights and divide by the total number of puppies (9). (2.9+3.0+3.1+3.1+3.2+3.3+3.3+3.4+4.4)/9 = 29.7/9 = 3.3

3. Calculate the mean without the outlier: Remove the outlier (4.4) from the sum and divide by the new total number of puppies (8). (29.7 - 4.4)/8 = 25.3/8 = 3.1625

4. Calculate the change in mean by subtracting the mean without the outlier from the mean with the outlier, and round to the nearest hundredth of a pound: 3.3 - 3.1625 = 0.1375, which rounds to 0.14.

With the removal of the outlier, the mean of the puppy weights changes by 0.14 pounds.

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Let f(x) be the function given in the previous question. True/False
The left-hand sum of f(x) is always smaller than the right-hand sum of f(x) for x € 3, 8]. True/False

Answers

Without more information about the function f(x) from the previous question, the statement cannot be labeled as true or false.

To determine if the statement is true or false, we first need to understand the terms involved.

Left-hand sum: This is a method of approximating the definite integral of a function by using the left endpoints of subintervals to calculate the sum of the areas of rectangles.

Right-hand sum: This is similar to the left-hand sum, but it uses the right endpoints of the subintervals to calculate the sum of the areas of rectangles.

Now, let's analyze the statement:

The left-hand sum of f(x) is always smaller than the right-hand sum of f(x) for x ∈ [3, 8].

This statement is not necessarily true or false for all functions. The comparison between the left-hand sum and right-hand sum depends on the behavior of the function within the given interval [3, 8].

If the function is increasing in the interval, then the left-hand sum will be smaller than the right-hand sum. If the function is decreasing in the interval, then the left-hand sum will be greater than the right-hand sum. In cases where the function changes direction within the interval, the comparison may not be definitive.

Therefore, without more information about the function f(x) from the previous question, the statement cannot be labeled as true or false.

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For the acute angles in a right triangle, sin(5x)° = cos(3x + 2)°.


What is the number of degrees in the measure of the smaller


angle?

Answers

Answer is The smaller angle is 35°.


To solve for the acute angles in a right triangle when sin(5x)° = cos(3x + 2)°, we need to use trigonometric identities.

Recall that sin(x) = cos(90 - x) for any angle x. Using this identity, we can rewrite sin(5x)° as cos(90 - 5x)°.

Similarly, cos(x) = sin(90 - x) for any angle x. Using this identity, we can rewrite cos(3x + 2)° as sin(90 - (3x + 2))°, which simplifies to sin(88 - 3x)°.

Now we have cos(90 - 5x)° = sin(88 - 3x)°. Since these two expressions are equal, we can set them equal to each other and solve for x:

cos(90 - 5x)° = sin(88 - 3x)°

sin(5x)° = sin(88 - 3x)°

5x = 88 - 3x

8x = 88

x = 11

Therefore, the acute angles in the right triangle are 5x° and 90 - 5x°, or 55° and 35°. The smaller angle is 35°.

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Graph the following system of equations.

x + 2y = 6
2x + 4y = 12

What is the solution to the system?

There is no solution.
There is one unique solution, (6, 0).
There is one unique solution, (0, 3).
There are infinitely many solutions.

Answers

The solution to the system of equations shown above is: D. there are infinitely many solutions.

How to graphically solve this system of equations?

In order to determine the solution for this system of linear equations on a coordinate plane, we would make use of an online graphing calculator to plot the given system of linear equations while taking note of the point of intersection;

x + 2y = 6   ......equation 1.

2x + 4y = 12 ......equation 2.

Based on the graph shown (see attachment), we can logically deduce that the solution for this system of linear equations is the point of intersection of each lines on the graph that represents them, which is given by multiple ordered pairs and as such, it has more than one solution or infinitely many solutions because the lines coincide.

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Looking at the spread of your data best fits which step of the statistical process?

Answers

Looking at the spread of your data is part of the data analysis step in the statistical process.

In this step, the data is examined to identify patterns, relationships, and trends in the data.

One aspect of data analysis is understanding the distribution and spread of the data, which can be done through measures of central tendency and measures of variability.

Understanding the spread of the data can help in making decisions about what statistical analyses are appropriate and how to interpret the results.

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Please hurry I need it ASAP

Answers

Answer:

[tex]3\sqrt{5}[/tex]

Step-by-step explanation:

Use the distance formula to determine the distance between the two points.

Distance = [tex]\sqrt{(1-4)^{2} + (4-(-2))^{2} }[/tex]

Simplify, and you get the answer.

[tex]3\sqrt{5}[/tex]

Mai created a scale model of a shoe store her company plans to build. the ratio of the model's dimensions to the dimensions of the actual shoe store to
be built is 1:20. if the volume of the model was 35ft 3, what is the volume of the actual shoe store that mai's company plans to build?

Answers

The volume of the actual shoe store that Mai's company plans to build is 280,000 ft³.

Based on the given information, Mai created a scale model with a ratio of 1:20. If the volume of the model is 35 ft³, we can find the volume of the actual shoe store by using the ratio.

Since the ratio of the dimensions is 1:20, the ratio of the volumes will be (1:20)³, which is 1:8000. Therefore, to find the volume of the actual shoe store, we can multiply the volume of the model by 8000:

Volume of the actual shoe store = 35 ft³ × 8000 = 280,000 ft³

So, the volume of the actual shoe store that Mai's company plans to build is 280,000 ft³.

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Which shape contains two pairs of parallel lines? A. shape A B. shape B C. shape C D. shape D

Answers

Answer: C

Step-by-step explanation:

C is a parallelogram, meaning that both sets of opposite sides are parallel.

If there were a 10 percent tax on every pack of cigarettes John bought between age 22 and age 70, how much tax revenue would be raised from John's cigarette purchases? How might such tax money be used to help reduce smoking rates?​

Answers

Using one cigarette packet per day with the cost of $ 5.50 tax revenue would be raised from John's cigarette purchases is $9,636.

What is Tax revenue:

Tax revenue is the income received by the government from the taxation of individuals, businesses, and other entities.

Taxes are mandatory payments imposed on income, goods and services, property, and other items, which are collected by the government to finance public goods and services such as infrastructure, education, healthcare, and defense.  

To solve the given problem, assume the cost of a cigarette packet and find the total revenue that can be generated.

Here we have

There was a 10 percent tax on every pack of cigarettes John bought between the age of 22 and age 70

To calculate the tax revenue raised from John's cigarette purchases between ages 22 and age 70, we need to know how many packs of cigarettes he bought during that period.

Let's assume that John bought an average of one pack of cigarettes per day or 365 packs per year.

The difference Between the ages of 22 and age 70 = 70 - 22 = 48 years

Hence, John would have bought cigarettes for 48 years, so the total number of packs he bought would be:

365 packs/year x 48 years = 17,520 packs

If there were a 10% tax on each pack, the tax revenue would be:

0.10 x $5.50 (average cost of a pack of cigarettes in the US)

= $0.55 tax per pack

$0.55 tax per pack x 17,520 packs = $9,636 in tax revenue

This is an estimate, as it does not take into account any variations in the price of cigarettes over time or across different regions.

Reducing smoking rates:

As for how much tax money could be used to reduce smoking rates, there are several options.

One possibility is to invest the revenue in smoking cessation programs and public health campaigns to educate people about the risks of smoking and help them quit.

The money could also be used to fund research into developing new treatments for tobacco addiction or to support medical research into the health effects of smoking.

Therefore  

Using one cigarette packet per day with the cost of $ 5.50 tax revenue would be raised from John's cigarette purchases is $9,636.

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Science! Dr. Robinson has discovered a new element: Geometrium. In its liquid form, Geometrium has a density of
5.3432 grams per cubic centimeter. It is held inside a glass square pyramid whose base has a side length of 7 cm
and height of 15 cm.
1. What is the surface area of the pyramid?

Answers

The surface area of the pyramid is 310.00 square centimeters.

To find the surface area of the pyramid, we need to find the area of each of its faces and add them up.

First, let's find the area of the base of the pyramid;

Area of base = (side length)² = 7² = 49 cm²

Now, we find the area of each triangular face. To do this, we need to find the length of the slant height (l), which is the hypotenuse of a right triangle with one leg equal to half the base and the other leg equal to the height of  pyramid.

Half of the base = 7/2 = 3.5 cm

Using Pythagorean theorem, we find the slant height;

l² = (3.5)² + (15)²

l² = 122.25 + 225

l² = 347.25

l = √(347.25) ≈ 18.64 cm

Now we find the area of each triangular face;

Area of face = (1/2) x base x height = (1/2) x 7 x 18.64 ≈ 65.24 cm²

Finally, we can find the total surface area by adding up the areas of all four faces;

Total surface area = 4 x (area of face) + (area of base)

Total surface area = 4 x 65.24 + 49

Total surface area = 261.00 + 49

Total surface area = 310.00 cm²

Therefore, the surface area of the pyramid is 310.00 cm².

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Natalie earns $85 for 4 hours of work. If she makes a constant hourly wage, which table represents the relationship between the number of hours she works and her total earnings?

Answers

Her total earnings increase by $21.25 for every hour she works, since her hourly wage is constant.

The relationship between Natalie's earnings and the number of hours she works can be represented by a linear equation in the form y = mx + b, where y is her total earnings, x is the number of hours she works, m is her hourly wage, and b is her initial earnings (or y-intercept).

To find the hourly wage, we can divide her total earnings by the number of hours she works:

hourly wage (m) = total earnings / number of hours worked

m = 85 / 4 = 21.25

So, Natalie's hourly wage is $21.25.

Now, we can use this information to create a table that shows the relationship between the number of hours she works and her total earnings:

| Hours worked (x) | Total earnings (y) |
|------------------|-------------------|
|       1          |       21.25       |
|       2          |       42.50       |
|       3          |       63.75       |
|       4          |       85.00       |

As you can see, her total earnings increase by $21.25 for every hour she works, since her hourly wage is constant. Therefore, the correct table that represents the relationship between the number of hours she works and her total earnings is the one shown above.

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Q. 1: Expand and simplify each of the following expression:



6m- 2(4n+5m+1)-2n + 4




12x + 5(-5y-2z+2) – 2(8x+z) + 7



Q. 2: Factorize the following:



8pq + 20qr – 16s




4a2 + 7a + 3




a2-5a + 2ab – 10b



Q. 3: Express each of the following as a fraction in its simplest form:



3m4 + 5m8 – m2



2p3 -3p +p2

Answers

Answer:

Step-by-step explanation:

Q.1:

6m - 8n - 10m - 2 - 2n + 4 = -6n - 4m + 2

12x - 25y - 10z + 10 - 16x - 2z + 7 = -4x - 25y - 12z + 17

Q.2:

8pq + 20qr - 16s = 4(2pq + 5qr - 4s)

4a2 + 7a + 3 = (4a + 3)(a + 1)

a2 - 5a + 2ab - 10b = (a - 2)(a + 2b - 5)

Q.3:

3m4 + 5m8 - m2 = m2(3m2 + 5m6 - 1)/(m2) = 3m2 + 5m6 - 1

2p3 - 3p + p2 = p2(2p - 3)/(p2) = 2p - 3

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Find the particular solution for:
f"(x) = 0.25x⁻³/², f'(4) = - 1/8 and f(0) = 2.

Answers

The particular solution for f(x) is:

f(x) = (2/3)x³/² - (17/8)x + 2

How to find the particular solution of f(x)?

We will integrate the given differential equation twice and use the initial conditions to find the constants of integration.

Given: f"(x) = 0.25x⁻³/²

Integrating once, we get:

f'(x) = ∫(0.25x⁻³/²) dx = 0.5x¹/² + C₁

where C₁ is the constant of integration.

Using the initial condition f'(4) = -1/8, we can solve for C₁:

f'(4) = 0.5(4)¹/² + C₁ = 2 + C₁ = -1/8

C₁ = -1/8 - 2 = -17/8

So,

f'(x) = 0.5x¹/² - 17/8

Integrating again, we get:

f(x) = ∫(0.5x¹/² - 17/8) dx = (2/3)x³/² - (17/8)x + C₂

where C₂ is the second constant of integration.

Using the initial condition f(0) = 2, we can solve for C₂:

f(0) = (2/3)(0)³/² - (17/8)(0) + C₂ = 2

C₂ = 2

So, the particular solution for f(x) is:

f(x) = (2/3)x³/² - (17/8)x + 2

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Select the correct answer from each drop-down menu.
1) function g is ____ on all intervals of x.
2) the same is true about ____.
3) functions ____ have the same x-intercept.

1 options: decreasing, increasing
2 options: both s and t, function s, function t, neither s nor t
3 options: s and g, s and t, g and t

Answers

1) function g is increasing on all intervals of x.

2) the same is true about both s and t.

3) functions s and g have the same x-intercept.

How to find derivative?

The phrase "function g is ___ on all intervals of x" refers to the behavior of the function g with respect to its input variable x. If we know that g is increasing on all intervals of x, this means that as we move from left to right along the x-axis, the values of g are increasing. In other words, if we were to plot the graph of g, it would be sloping upwards from left to right.

How to solve equations?

The phrase "the same is true about ____" is asking us to identify another function that has the same behavior as function g. The options given are both s and t, function s, function t, or neither s nor t. Without any further information about s and t, we cannot definitively say whether they are increasing on all intervals of x like g. Therefore, the correct answer is "both s and t," because this option covers the possibility that either s or t may have the same behavior as g.

How to integrate functions?

The phrase "functions ____ have the same x-intercept" refers to the point(s) where the graph of each function intersects the x-axis. If we know that functions s and g have the same x-intercept, this means that they intersect the x-axis at the same point(s). Therefore, the correct answer is "s and g." However, there is no information given to suggest that function t has the same x-intercept as either s or g, so it is not a correct answer option.


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1. decreasing

2. function t

3. s and t

4. x

Got it right on Edmentum

Geometry in circle p, m2=m1, m2= 4x + 35, m1= 9x +5 find :
need help!

Answers

Based on the given information, we can set up an equation using the fact that the measures of angles m1 and m2 are equal in circle P.

m1 = m2

Substituting the given values:

9x + 5 = 4x + 35

Solving for x:

9x - 4x = 35 - 5

5x = 30

x = 6

Now that we have found the value of x, we can substitute it back into the expressions for m1 and m2 to find their measures:

m1 = 9x + 5 = 9(6) + 5 = 59

m2 = 4x + 35 = 4(6) + 35 = 59

Therefore, both angles have a measure of 59 degrees.

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The equation of the line of best fit is M(t)=-0.15t+3.70 where M (t) represents the average retail cost in dollars of whole milk in the united state

Answers

The function M(2) from the equation of the line of best fit M(t)=-0.15t+3.70 is M(2) = 3.4


Calculating the function M(2)

The equation of the line of best fit is given as

M(t) = -0.15t + 3.70

The function M(2) means the value of the variable t is 2

i.e. t = 2

To calculate M(2), we substitute the known values of t = 2 in the equation M(t) = -0.15t + 3.70

So, we have

M(2) = -0.15 * 2 + 3.70

Evaluate the product in the expression

This gives

M(2) = -0.30 + 3.70

Evaluate the sum/difference in the expression

This gives

M(2) = 3.4

The above is the value of M(2)

Hence, the calculated value of M(2) is 3.4

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Help me on #12 A&C, #13 a,b,&c plsss preferably step by step

Answers

The solution to the problems using trigonometric ratios are:

12a) x = 16.09

12c) x = 7 and y = 7

13a) Time it takes to reach the ground is: 8 seconds

13b) Highest point reached is: 80 ft

How to use trigonometric ratios?

12a) Using the law of sines, we can say that:

x/sin 90 = 9/sin 34

x = (9 * sin 90)/sin 34

x = 16.09

12c) Using the law of sines, we can say that:

x/sin 45 = 7√2/sin 90

x = (7√2 * 1/√2)/1

x = 7

Similarly, because it is an isosceles triangle, y = 7

13a) The equation of the height above the ground is :

h = 40t - 5t²

where:

h is height

t is time in seconds

Thus:

Time it takes to reach the ground is at h = 0.

40t - 5t² = 0

5t² = 40t

5t = 40

t = 8 seconds

b) Highest point reached:

h'(t) = 40 - 10t

h'(t) = 0

40 - 10t = 0

t = 4 seconds

Thus:

h_max = 40(4) - 5(4)²

h_max = 80 ft

c) Time at which ball was 35ft off ground is:

35 = 40t - 5t²

5t² - 40t + 35 = 0

Using quadratic equation calculator gives us:

t = 1 and 7 seconds

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Matt knows 4 x 6 = 24. what other math fact does this help matt remember? circle the letter of the correct answer. sadie chose a 6 + 4 = 10 as the correct answer. how did she get that answer?

Answers

The math fact that 4 x 6 = 24 helps Matt remember that 6 x 4 = 24, and Sadie arrived at the answer 10 for 6 + 4 by incorrectly adding the numbers in reverse order.

Matt knows that 6 x 4 = 24. This helps him remember that 4 x 6 and 6 x 4 are both equal to 24.

The math fact that Matt can remember based on 4 x 6 = 24 is that multiplication is commutative. This means that the order of the numbers being multiplied doesn't affect the result. So, if 4 multiplied by 6 equals 24, it also implies that 6 multiplied by 4 would give the same result of 24.

Sadie arrived at the answer 10 for 6 + 4 by mistakenly swapping the order of the numbers and performing the addition incorrectly. The correct sum for 6 + 4 is indeed 10. Sadie's error demonstrates the importance of following the correct order of operations, where addition should be performed after ensuring the numbers are in the correct order.

As for Sadie's answer of 6 + 4 = 10, it is not directly related to the multiplication fact that Matt knows.

It is possible that Sadie used a different math fact or strategy to arrive at that answer.

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50 POINTS: In terms of the number of marked mountain goats, what is the relative frequency for male goats, female goats, adult goats, and baby goats? Write your answers as simplified fractions.



Male 71


Female 93


Adult 103


Baby 61

Answers

0.1859 is the relative frequency for male goats, female goats, adult goats, and baby goats

To find the relative frequency of marked mountain goats by gender and age group, we need to divide the number of marked goats in each group by the total number of marked goats.

The total number of marked goats is:

Total = Male + Female + Adult + Baby = 71 + 93 + 103 + 61 = 328

The relative frequency for male goats is:

Male/Total = 71/328 = 0.2165 or 433/2000 (simplified fraction)

The relative frequency for female goats is:

Female/Total = 93/328 = 0.2835 or 567/2000 (simplified fraction)

The relative frequency for adult goats is:

Adult/Total = 103/328 = 0.3140 or 157/500 (simplified fraction)

The relative frequency for baby goats is:

Baby/Total = 61/328 = 0.1859 or 93/500 (simplified fraction)

Therefore, the relative frequency for male goats is 433/2000, for female goats is 567/2000, for adult goats is 157/500, and for baby goats is 93/500, all expressed as simplified fractions.

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If there were eight equal pieces and seven of them were gone how many would there be in angle measurement

Answers

If there were eight equal pieces and seven of them were gone, there would be 45 degrees in angle measurement.

When the circle is divided into eight equal pieces, each piece has an angle of 360°/8 = 45°. If seven of these pieces are gone, only one piece is remaining, which is equivalent to 45 degrees in angle measurement. Therefore, the answer is 45 degrees.

Alternatively, we can use the formula for finding the angle of a sector of a circle. The formula is given as Angle = (θ/360) x 2πr, where θ is the central angle in degrees, and r is the radius of the circle. In this case, the radius of the circle is not given, but we know that there were eight equal pieces initially.

Therefore, the central angle for one piece is 360°/8 = 45°. So, the angle of the remaining piece is (45/360) x 2πr = (1/8) x 2πr = π/4 radians or 45 degrees.

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Question 15
Find the area of the quadrilateral with the vertices A (-8, 6), B(-5, 8), C (-2, 6), and D (-5,0).
units²
Need help with this question?
Get a Hint

Answers

The area of the quadrilateral can be found by dividing it into two triangles and finding the sum of their areas. The line connecting points B and D divides the quadrilateral into two triangles ABD and BCD. The area of triangle ABD is 1/2 * base * height = 1/2 * 6 * 6 = 18 square units. The area of triangle BCD is 1/2 * base * height = 1/2 * 3 * 8 = 12 square units. Therefore, the area of the quadrilateral is 18 + 12 = 30 square units.

Marissa has taken four 100 point tests in math this semester. Her mean score is 89%. What score does she need on test five so that the mean of al five scores will be 90%

Answers

Marissa needs to score 94% on test five to have a mean of 90% for all five tests.

What is average?

Let's look at the average formula in more detail in this part and use some examples to illustrate how it may be used. The following is an example of the average formula for a specific set of data or observations: Average = (Sum of Observations) ÷ (Total Numbers of Observations).

Let's use the formula for finding the mean:

mean = (sum of all scores) / (number of scores)

We know that Marissa has taken four tests and has a mean score of 89%, so:

(4 x 89) + x = 5 x 90

Simplifying:

356 + x = 450

x = 94

Therefore, Marissa needs to score 94% on test five to have a mean of 90% for all five tests.

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made bracelets with string and beads. she used xx centimeters of string to make 77 bracelets. she used 17.817.8 centimeters of string for each bracelet. how much string did she use in all? write an equation and use it to solve this problem.enter the correct answers in the boxes.show hints

Answers

Total string used = Number of bracelets × String used per bracelet

Total string used = 77 × 17.8 = 1370.6 cm

How much string did she use in total?

Let's denote the total amount of string used as "T". We know that the girl used xx centimeters of string to make 77 bracelets, and each bracelet required 17.8 centimeters of string.

To find the total string used, we can set up the following equation:

T = 77 * 17.8

Simplifying the equation, we have:

T = 1369.6

Therefore, the girl used a total of 1369.6 centimeters of string to make all the bracelets.

In conclusion, the equation T = 77 * 17.8 can be used to determine the total amount of string used, and the solution to the equation is T = 1369.6 centimeters.

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A teacher is assigning 34 presentation topics to 9 students at random. Each student will get 3 topics, and no topic will be repeated. Somil is very interested in 5 topics. What is the probability that Somil will be assigned at least one of his preferred topics? Complete the explanation on how you arrived at your answer

Answers

There is a high probability that Somil will be assigned at least one of his preferred topics.

How to calculate the probability of Somil getting at least one of his preferred topics?

To calculate the probability of Somil getting at least one of his preferred topics, we can use the complement rule. That is, we calculate the probability of Somil not getting any of his preferred topics and then subtract that probability from 1.

Let's first calculate the total number of ways to assign the topics to the students. We can think of this as distributing 34 distinct objects (the topics) into 9 distinct groups (the students), where each group gets 3 objects. We can use the multinomial coefficient formula to compute this:

C(34, 3, 3, 3, 3, 3, 3, 3, 3) = (34!)/(3!)^9

where C(n, k1, k2, ..., km) denotes the multinomial coefficient, which is the number of ways to divide n distinct objects into m groups with k1, k2, ..., km objects in each group.

Next, let's calculate the number of ways to assign the topics such that Somil does not get any of his preferred topics. We can think of this as first choosing 5 topics that Somil does not want, and then distributing the remaining 29 topics among the 9 students. The number of ways to choose 5 topics out of 29 is C(29, 5), and the number of ways to distribute the remaining 29 topics among 9 students is C(29, 3, 3, 3, 3, 3, 3, 3, 2) (since 2 topics are already assigned to Somil). Therefore, the total number of ways to assign the topics such that Somil does not get any of his preferred topics is:

C(29, 5) * C(29, 3, 3, 3, 3, 3, 3, 3, 2)

To calculate the probability of this event, we divide the above expression by the total number of ways to assign the topics:

P(Somil does not get any preferred topic) = [C(29, 5) * C(29, 3, 3, 3, 3, 3, 3, 3, 2)] / [(34!)/(3!)^9]

Finally, we can use the complement rule to find the probability that Somil gets at least one of his preferred topics:

P(Somil gets at least one preferred topic) = 1 - P(Somil does not get any preferred topic)

Plugging in the values, we get:

P(Somil gets at least one preferred topic) = 1 - [C(29, 5) * C(29, 3, 3, 3, 3, 3, 3, 3, 2)] / [(34!)/(3!)^9]

This evaluates to approximately 0.782, or 78.2%. Therefore, there is a high probability that Somil will be assigned at least one of his preferred topics.

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given m||n, find the value of x

Answers

Answer:

Step-by-step explanation:

The value of x is 19 if the lines l and m are parallel.

The lines l and m are parallel

The corresponding angles are equal

We have to find the value of x

6x-9 = 5x+10

Let us take all the variable terms on one side

6x-5x=10+9

x=19

Hence, the value of x is 19 if the lines l and m are parallel.

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Four white, one black, and three striped tiles are place on a table. Each time a tile is drawn, it is replaced.


Determine the probability of drawing two striped tiles in a row.


ANSWER FAST PLEASE

Answers

The probability of drawing two striped tiles in a row would be 9/64.

How to find the probability ?

The probability of picking a striped tile with one draw is 3/8, due to the fact that out of the eight existing tiles, three are striped. Simultaneously considering that the tile is replaced following each pick, the likelihood of obtaining another striped tile is still 3/8.

To ascertain the probability of drawing two consecutive striped tiles, we multiply the likelihood of the initial draw being striped (3/8) by the chance of the second draw occurring striped (3/8).

The probability is therefore :

= 3 / 8 x 3 / 8

= 9 / 64

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Find the area of the parallelogram.

The figure shows a parallelogram. The length of the base is 20 centimeters. The length of the sides is 17 centimeters. The overhang of the base is 8 centimeters long. The angle between the overhang and the height is a right angle.

Answers

The area of the parallelogram is 300 centimetres squared.

How to find the area of a parallelogram?

The length of the base is 20 centimetres. The length of the sides is 17 centimetres. The overhang of the base is 8 centimetres long. The angle between the overhang and the height is a right angle.

Therefore,

area of a parallelogram = b × h

where

b = baseh= height

Therefore, let's use Pythagoras's theorem to find the height of the parallelogram as follows
17² - 8² = h²

289 - 64 = h²

h = √225

h = 15 centimetres

Therefore,

area of the parallelogram = 20 × 15

area of the parallelogram = 300 cm squared

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Solid cylinders A and B are similar and made from metal. 72.8% more metal is used to make cylinder B than cylinder A. The surface area of cylinder A is 700cm². Work out the surface area of cylinder B

Answers

If the surface area of cylinder A is 700cm², the surface area of cylinder B is 1612.8cm².

Since the two cylinders are similar, their dimensions are proportional to each other. Let the height and radius of cylinder A be h and r, respectively, and let the height and radius of cylinder B be kh and kr, respectively, where k is the scale factor.

Since cylinder B uses 72.8% more metal than cylinder A, we have:

Volume of cylinder B = 1.728 times the volume of cylinder A

Using the formula for the volume of a cylinder, we have:

π(kr)²(kh) = 1.728πr²h

Simplifying the equation, we get:

k³ = 1.728

k = 1.2

So the scale factor is 1.2. Therefore, the height and radius of cylinder B are 1.2 times those of cylinder A. Hence, we have:

Surface area of cylinder B = 2π(1.2r)² + 2π(1.2r)(1.2h)

= 2.304(2πrh)

= 2.304(700cm²)

= 1612.8cm²

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A tabletop in the shape of a trapezoid has an area of 7,021 square centimeters. its longer base measures 131 centimeters, and the shorter base is 105 centimeters. what is the height?


urgent

Answers

The height of the trapezoidal tabletop is approximately 59.5 centimeters.

To calculate the height of a trapezoid with the given measurements, we need to use the formula for the area of a trapezoid: A = (b1 + b2)h / 2, where A is the area, b1 and b2 are the lengths of the two bases, and h is the height.

In this problem, the area (A) is 7,021 square centimeters, the longer base (b1) is 131 centimeters, and the shorter base (b2) is 105 centimeters. Our task is to find the height (h).

First, let's plug the given values into the formula:

7,021 = (131 + 105)h / 2

Now, simplify the equation:

7,021 = 236h / 2

To solve for h, multiply both sides of the equation by 2:

14,042 = 236h

Finally, divide both sides by 236:

h ≈ 59.5

Thus, the height is approximately 59.5 centimeters.

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