How much money does the average professional football fan spend on food at a single


football game? That question was posed to 60 randomly selected football fans.


The sampled results show that the sample mean was $70. 00 and prior sampling


indicated that the population standard deviation was $17. 50.


Use this information to create a 95 percent confidence interval for the population mean.

Answers

Answer 1

The 95 percent confidence interval for the population mean is $65.59 to $74.41.

To calculate a 95% confidence interval for the population mean, we will use the sample mean, population standard deviation, and sample size provided. The formula for the confidence interval is:

CI = X ± (Z * (σ / √n))

Where:
- X is the sample mean, $70.00
- Z is the Z-score for a 95% confidence interval, 1.96
- σ is the population standard deviation, $17.50
- n is the sample size, 60

CI = $70.00 ± (1.96 * ($17.50 / √60))

Calculate the margin of error:

Margin of Error = 1.96 * ($17.50 / √60) ≈ $4.41

Now, calculate the confidence interval:

Lower Limit = $70.00 - $4.41 ≈ $65.59
Upper Limit = $70.00 + $4.41 ≈ $74.41

So, the 95% confidence interval for the population mean is approximately $65.59 to $74.41.

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Related Questions

Sonia has a hat collection. The ratio of white hats to


blue hats in her hat collection is 10:9. Which ratio is


equivalent to 10:97

Answers

The equivalent ratio is 10:107.78

To solve this problem, we need to find a ratio that is equivalent to 10:9 but has a denominator of 97.

First, we can set up a proportion:

10/9 = x/97

To solve for x, we can cross-multiply:

10 * 97 = 9 * x

970 = 9x

To find the value of x, you divided both sides of the equation by 9, resulting in:

x = 107.78 (rounded to two decimal places)

So the equivalent ratio is 10:107.78, but since we can't have a fractional hat, we can round up to 108. Therefore, the answer is 10:108.

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PLS HELP ME WITH THIS!!!!

Answers

Answer:

  g(x) = h(x -7) +5

Step-by-step explanation:

Given h(x) defines a parabola that opens upward with a vertex at (-2, -7) and g(x) defines the same parabola with its vertex at (5, -2), you want to express g(x) in terms of h(x).

Translation

The graph of f(x) is translated right h units and up k units by ...

  f(x -h) +k

We see that g(x) is a translation of h(x) right by 7 units and up by 5 units. This means (h, k) is (7, 5), and the translated function is ...

  g(x) = h(x -7) +5

__

Additional comment

This is confirmed by the plots in the second attachment.

Answer:  g(x)=h(x-7) +5

Step-by-step explanation:

The graph g(x) has been shifted up 5   (+5)   and right 7

When shift a function, the y change, up/down, goes at end of function

When shift in x direction happens, you take opposite sign so we will do -7

g(x)=h(x-7) +5

A cube is sliced perpendicular to its base what is the shape of the resulting two dimensional cross-section 1. trapezoid 2. square 3.circle

Answers

If a cube is sliced perpendicular to its base, the resulting two dimensional cross-section will be a square. This is because each face of a cube is a square, and a perpendicular slice across the base will result in a square shape. A trapezoid or a circle would not result from a perpendicular slice of a cube.


When a cube is sliced perpendicular to its base, the shape of the resulting two-dimensional cross-section is a square.

Step-by-step explanation:
1. A cube has six faces, all of which are squares.
2. When you slice the cube perpendicular to its base, you are cutting it in a direction that is at a 90-degree angle to the base.
3. Since all the faces of a cube are squares, the resulting cross-section from a perpendicular slice will also be a square.

So, the correct answer is option 2, a square.

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Bill is walking up the steps in the Washington Monument at a rate of 30 feet per minute and Joe is walking down at the rate of 45 feet per minute. Bill is 75 feet from the bottom at the same moment that Joe is 325 feet from the bottom. Which of the following systems of equations can be used to determine the number of minutes t, from now and height, ℎ (in feet), at which they will pass each other?

Answers

The equation that can be used to determine the number of minutes t, from now and height, ℎ (in feet), at which they will pass each other is 75t = h.

What is the time taken for them to pass each other?

The time taken for them to pass each other is calculated as follows;

Apply the rules of relative velocity;

(V₂ - V₁)t = h

where;

V₂ is the velocity of the BillV₁ is the velocity of the Joet is the time taken for them to meeth is the distance between them

(30 ft/min - ( -45 ft/min )t = h

75t = h

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An art class cost $45 for material and $10 per class.

A. What is the rate if change?
B. What is the initial value?
C. What is the independent variable?
D. What is the dependent variable?

Answers

The rate of change is 10.

The initial value of the equation is 45

The independent variable is the number of classes.

The dependent variable is the total cost.

How to represent linear equation?

The art class cost $45 for material and $10 per class. Therefore, let's represent the situation with a linear equation.

Linear equation can be represented in slope intercept form as follows:

y = mx + b

where

m = slope = rate of changeb = y-intercept

Therefore,

y = 45 + 10x

where

y = total costx = number of class

Therefore,

A. The rate of change is 10.

B. The initial value is 45

C. The independent variable is x(number of classes)

D. The dependent variable is total cost.

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You bought a laptop computer for $525 on the "12 months is the same as cash" plan. The terms of the plan on the contract stated that if


not paid within 12 months, you would be assessed 15. 5 percent APR for the amount on the first day of the plan


If you pay the laptop in 11 months, how much will you have paid?


a. $525


b. $540. 50


c. $595. 50


d. $606. 38

Answers

Your answer: a. $525

The "12 months is the same as cash" plan means that if you pay off the laptop within 12 months, you won't be charged any interest.

Since you plan to pay off the laptop in 11 months, which is within the 12-month period, you will not be assessed the 15.5 percent APR.

Therefore, you only need to pay the original cost of the laptop, which is $525.
To summarize, as long as you pay the full amount within the specified 12-month period, you avoid the additional interest charges. In this case, you will pay the laptop off in 11 months, so your total payment will be $525.

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Directions: find the perimeter of each rectangle. be sure to include the correct unit.

Answers

The perimeter of the rectangle with a length of 10 feet and breadth of 11 feet is 42 feet.

In a rectangle, opposite sides are equal in length. So, you have two pairs of sides that are equal. The length of the two equal sides is given by l, which is 10 feet, and the length of the other two equal sides is given by b, which is 11 feet.

Therefore, to find the perimeter of the rectangle, you need to add up the length of all four sides:

Perimeter = 2(l + b)

Substituting the given values of l = 10 feet and b = 11 feet, we get:

Perimeter = 2(10 + 11) feet

Simplifying the expression inside the parentheses, we get:

Perimeter = 2(21) feet

Multiplying 2 and 21, we get:

Perimeter = 42 feet

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Complete Question:

Directions: find the perimeter of each rectangle. be sure to include the correct unit.

Where l = 10 feet and b = 11 feet.

Suppose the following set of random numbers is being used to simulate the event of a
basketball player making three free throws in a row. how should the numbers be
rearranged?
i don’t need help but in case someone needs the answer. good luck!

Answers

Option D is the correct answer as it groups the numbers into sets of five, assigns them as either a "make" or a "miss", and preserves the order of the original set.

The set of random numbers provided represents the binary outcome of a basketball player making or missing a free throw. To simulate the event of making five free throws in a row, we need to group the numbers into sets of five and assign each set as either a "make" or a "miss".

Option A simply groups the numbers into sets of five, but does not indicate whether they are a "make" or a "miss". Option B groups the numbers into sets of five and assigns them as either a "make" or a "miss", but the order of the numbers has been changed.

Option C groups the numbers into sets of five, assigns them as either a "make" or a "miss", and preserves the order of the original set.

This allows for an accurate simulation of the event of making five free throws in a row using the provided set of random numbers.

So, correct option is D.

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Complete question is:

Suppose the following set of random numbers is being used to simulate the event of a basketball player making five free throws in a row. How should the numbers be rearranged?

860583 785814 010122 337198 621549 034076 796495 978078 433330

333153

A. 860 583 785 814 010 122 337 198 621 549 034 076 796 495 978

078 433 330 333 153

B. 8605 8378 5814 0101 2233 7198 6215 4903 4076 7964 9597

8078 4333 3033 3153

C. 86058 37858 14010 12233 71986 21549 03407 67964 95978

07843 33303 33153

D. 860583 785814 010122 337198 621549 034076 796495 978078

433330 333153

HELP!! I need the answer to pass 10th grade and im stumped D:

Answers

AB is dilated by a scale factor of 3 to form A'B'. Point O, which lies on AB, is the center of dilation.

The slope of AB is 3. The slope of A'B' is 3. A'B' passes through point O.

What is dilation in mathematics?

Dilation is a process of transformation used to resize an object.

The items are enlarged or shrunk through dilation. An image that retains the original shape is created by this alteration. The size of the form does differ, though.

By multiplying the x and y coordinates of the original figure by the scale factor, you may locate locations on the dilated image when a dilation in the coordinate plane has the origin as the center of dilation.

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During the first year with a company, Finley was paid an annual salary of $56,000, with a 6% raise for each following year. Which equation represents Finley's annual salary, f (n), during the nth year?

f (n) = 56,000(0.94n)
f (n) = 56,000(1.06n)
f (n) = 56,000(0.06n – 1)
f (n) = 56,000(1.06n – 1)

Answers

The correct equation that represents Finley's annual salary, f(n), during the nth year is: [tex]f(n) = 56,000(1.06)^(n-1)[/tex] Thus, option D is correct.

What is an equation?

Finley's annual salary increases by 6% each year. This means that the salary for the second year is 6% more than the salary for the first year, the salary for the third year is 6% more than the salary for the second year, and so on.

To find an equation for Finley's annual salary during the nth year, we can use the initial salary of $[tex]56,000[/tex] and the fact that the salary increases by 6% each year. One way to write this equation is:

[tex]f(n) = 56,000(1.06)^(n-1)[/tex]

Here, the expression (1.06)^(n-1) represents the 6% increase in salary each year, starting from the second year (hence the (n-1) exponent). Multiplying this by the initial salary of $56,000 gives the salary for the nth year.

Therefore, the correct equation that represents Finley's annual salary, f(n), during the nth year is:[tex]f(n) = 56,000(1.06)^(n-1)[/tex]

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Without multiplying order the products from least to greatest

Answers

Answer:

Step-by-step explanation:

eeee

Zelda has 8 rabbits with which to start an animal farm. If the rabbit population doubles each month, in how many months will the rabbit population be 5,800?

Answers

In a case whereby Zelda has 8 rabbits with which to start an animal farm. If the rabbit population doubles each month, the number of  months that the rabbit population will be 5,800 is 9.5 months.

How can the the number of  months?

In order to calculatre the month then we can use the expression y = abⁿ

a = starting number ( 8 rabbits)

b = rate of change = (2)

n = number of months that we need to calculate

y = rabbit population = 5800

The we can substitute to have

5800 = 8 × 2ⁿ

5800 / 8 = 2ⁿ

725 = 2ⁿ

n = 9.5 months.

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A vase in the shape of a cylinder has a radius of 4. 3 cm and a volume of 1330. 2 cm³ what is the height of the base in centimeters round to the nearest 10th

Answers

As per the given values, the height of the vase is approximately 7.3 cm.

The radius of the vase = 4.3cm

The volume of vase = 1330. 2 cm³

Two parallel circular bases are connected by a curving surface to form the three-dimensional object known as a cylinder. There are two round flat sides, two curved edges, and one curved surface.

Using the formula for the volume of a cylinder -

V = πr²h,

where r is the radius and h is the height.

Substituting the values -

1330.2 = π(4.3)²h

1330.2 = 58.09πh

Dividing both sides by 58.09π

1330.2/58.09π = 58.09πh/58.09π

h = 7.27

= 7.3 ( After rounding)

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Translate each problem into an equation then solve.
at a restaurant mike and his three friends decide to divide the bill evenly if each person paid 130 pesos then what was the total bill

Answers

The total bill was 520 pesos when the 4 people share the total bill and pay 130 pesos each.

Given data:

Bill paid by each = 130pesos,

Number of people = 4

We have to translate the problem into an equation. Let's assume that the total bill is x. There are a total of 4 people dividing the restaurant bill, Mike and his three friends. Since each of them paid 130 pesos, we need to multiply 130 by the total number of persons involved, we can write the equation as:

x/4 = 130

x = 4 × 130

x = 520

Therefore, the total bill was 520 pesos.

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Express the area of the entire rectangle. your answer should be a polynomial in standard form. x+6 x+2 area=

Answers

The formula for the area of a rectangle is length times width, or in this case (x+6)(x+2) or x^2 + 8x + 12 in standard form.

To simplify this expression, we can use the distributive property to multiply the two binomials:

(x+6)(x+2) = x(x+2) + 6(x+2)

= x² + 2x + 6x + 12

= x² + 8x + 12

To express the area of the entire rectangle, we need to multiply the length (x + 6) by the width (x + 2). This will give us a polynomial in standard form.

Step 1: Write down the expression for the area of the rectangle.
Area = (x + 6)(x + 2)

Step 2: Use the distributive property (also known as the FOIL method) to expand the expression.
Area = x(x + 2) + 6(x + 2)

Step 3: Continue to expand and simplify the expression.
Area = (x² + 2x) + (6x + 12)

Step 4: Combine like terms.
Area = x² + 8x + 12

So the area of the entire rectangle is expressed as the polynomial x² + 8x + 12 in standard form.

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If an inflatable ball with a volume of 96pi loses air until its radius is half of its original size, what is the new volume?

Answers

The new volume of the inflatable ball after the radius becomes half of the original one is 16π.

The original volume of the ball is given as 96π

The radius then becomes half of its original size which means if the radius of the ball is 'r' then the new radius becomes 'r/2'.

The formula for the volume of the ball is equal to, where 'r' is the radius of the ball. (4/3)π X r³

With this the original volume of the ball is

(4/3)π X r³

and the new volume of the ball after it's halved is

V₂ = (4/3)π X (r/2)³

After simplification

V₂ = (4/3)π X (r³/8)

The new volume of the ball is:

V₂ = (1/6) X πr³

So the new volume is (1/6) of the original volume. We can calculate this as

V₂ = (1/6) X 96π

= 16π

Therefore, the new volume of the inflatable ball is 16π.

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In ΔUVW, w = 5. 3 inches, v = 3. 6 inches and ∠V=32°. Find all possible values of ∠W, to the nearest 10th of a degree

Answers

The only possible value of W is:

W ≈ 71.6° to the nearest 10th of a degree.

We can use the Law of Cosines to find the angle W opposite to the side w:

cos(W) = (v^2 + w^2 - u^2) / (2vw)

cos(W) = (3.6^2 + 5.3^2 - u^2) / (2 * 3.6 * 5.3)

We can solve for u by using the Law of Cosines for the angle V:

cos(V) = (u^2 + v^2 - w^2) / (2uv)

cos(32°) = (u^2 + 3.6^2 - 5.3^2) / (2 * u * 3.6)

Simplifying the equation and solving for u, we get:

u = sqrt(3.6^2 + 5.3^2 - 2 * 3.6 * 5.3 * cos(32°)) ≈ 3.8 inches

Now we can substitute this value of u into the equation for cos(W) and solve for cos(W):

cos(W) = (3.6^2 + 5.3^2 - 3.8^2) / (2 * 3.6 * 5.3) ≈ 0.315

Taking the inverse cosine, we get:

W ≈ 71.6° or W ≈ 288.4°

Note that since the angle W is in a triangle, it must be between 0° and 180°. Therefore, the only possible value of W is:

W ≈ 71.6° to the nearest 10th of a degree.

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Rewrite the equation by completing the square

Answers

Answer:

(x-2.75)^2=4.25

Step-by-step explanation:

2x^2-11x+14=0

divide through by two

x^2-5.5x+7=0

x^2-5.5x=-7

x^2-5.5x+(-5.5/2)^2=-7+(-5.5/2)

(x-2.75)^2=4.25

Mr robins earns a commission on each airfare he books. At the end of the day he had booked 208. 60 worth of airfare and earned 31. 29

Answers

Mr. Robins earns a commission of 15% on the airfares he books, as he earned $31.29 on $208.60 worth of airfare bookings.

Let x be the amount of commission earned by Mr. Robins on the airfares he booked. Then, we can write the equation:

x = 15% of $208.60

Simplifying this equation, we get:

x = 0.15 x $208.60

x = $31.29

Therefore, Mr. Robins earned a commission of $31.29 on $208.60 worth of airfare bookings. To verify this, we can calculate his commission rate as:

Commission rate = Commission earned / Airfare bookings

Commission rate = $31.29 / $208.60

Commission rate = 0.15 or 15%

Hence, Mr. Robins earns a commission of 15% on the airfares he books.

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In ΔKLM, m = 17 inches, l = 44 inches and ∠L=153°. Find all possible values of ∠M, to the nearest 10th of a degree

Answers

In ΔKLM, m = 17 inches, l = 44 inches, and ∠L = 153°. The possible value of ∠M is approximately 12.3°.

In any triangle, the sum of the interior angles is always 180°. First, we can find the third angle ∠K by subtracting ∠L from 180°: 180° - 153° = 27°. Next, we use the Law of Sines to find the possible values of ∠M. The formula is:

(sin ∠M) / m = (sin ∠K) / l

Plug in the given values:

(sin ∠M) / 17 = (sin 27°) / 44

To find sin ∠M, we multiply both sides by 17:

sin ∠M = (sin 27°) * (17 / 44)

Now, find the inverse sine (arcsin) of the result:

∠M = arcsin((sin 27°) * (17 / 44))

∠M ≈ 12.3°

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Pls help me with this!! 5 pts and brainliest included for the one who answers first!

Answers

Answer:

Step-by-step explanation:

Take the natural logarithm of both sides of the equation to remove the variable from the exponent. ln(e−6w)=ln(952) ln ( e - 6 w ) = ln ( 95 2 ).

Marsha threw her math book off a 30 foot building. The equation of the book can be represented by the equation h=-16[tex]x^{2}[/tex]+24x+30. What is the maximum height


of Marsha's math book?

Answers

The maximum height of Marsha's math book is 36 feet.

To find the maximum height of Marsha's math book, we need to find the vertex of the parabolic equation h = [tex]-16x^2 + 24x + 30[/tex]. The vertex of a parabola is the highest or lowest point on the curve, depending on whether the parabola opens upward or downward.

To find the x-coordinate of the vertex, we can use the formula x = -b/2a, where a, b, and c are the coefficients of the quadratic equation [tex]ax^2 + bx + c[/tex]. In this case, a = -16 and b = 24, so we have:

x = -b/2a = -24/(2*(-16)) = 0.75

To find the y-coordinate of the vertex, we can substitute x = 0.75 into the equation h = [tex]-16x^2 + 24x + 30[/tex], which gives us:

h = [tex]-16(0.75)^2 + 24(0.75) + 30 = 36[/tex]

Therefore, the maximum height of Marsha's math book is 36 feet.

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Help give me an Explanation

Answers

Answer:

if the two angles are equal

we use sss therom to solve it

2ft/6ft=24ft/xft

x=(6*24)/2

=72

1. p(x)= f(x)+g(x)
Write the equation of p(x)

Answers

Answer:p(x)=3x+5

Step-by-step explanation:

f(x)=2x+3

g(x)=x+2

p(x)=(2x+2)+(x+2)= 3x+5

 

Answer:

p(x)=ax + b

Step-by-step explanation:

What is 0.50 divided by 0.25

Answers

Answer:

2

Step-by-step explanation:

0.50/0.25 = 50/25

= 2

Dividing 0.50/0.25 no. is same as 50/25 when we multultiply by 100/ 100 so it is 2

ans. = 2

0.50 / 0.25

5/10  x  100/5

=2

Identify 12P1 using factorials

a. 12!/13!
b. 12! times 11!
c. 12!/11!
d. 12!/1!
pls look at the pic

Answers

Ans. Correct option in (c) 12!/11!

we know that

the formula of nPr is n! / (n−r)!.

in this question

n = 12 and r = 1

so putting values we get ,

= 12! / (12-1)!

=  12!/11!

For the line y=2/5x+9, what will be the angle this line makes with the x-axis?

Answers

Answer:

21.8014 degrees (to 4 decimal places)

Step-by-step explanation:

The equation y=2/5x+9 forms a certain angle with the x-axis.  Note that all lines parallel to y=2/5x+9 also form the same angle with the x-axis, due to Corresponding Angles (the fact that the original line has a y-intercept of 9 is irrelevant).  Therefore, we could simplify this problem slightly by considering the angle that y=2/5x (a y-intercept of 0) forms with the x-axis.

To find the angle that this line makes with the x-axis, we'll need the vertex (the origin -- let's call this point "B"), and one point on each of two rays from the vertex (Let Ray #1 be the ray from the origin directly to the right; and let Ray #2 be the ray from the origin extending into Quadrant I -- up and to the right, along the equation y=2/5x).

One point on Ray #1 is (5,0) -- it is on the positive x-axis.  Call this point "A"

One point on Ray #2 is (5,2) -- inputting "5" for x, the result for y is "2"  Call this point "C"

y = 2/5 * (5) = 2

To find the angle (Angle ABC), observe that the three points form a right triangle (the angle CAB is a right angle because the two lines are perpendicular).

To solve for [tex]\angle ABC[/tex], recall the definition of the tangent function:

[tex]tan(\theta)=\dfrac{opposite}{adjacent}[/tex]

The Opposite side, side AC, is just the height (or the y-value) of point C.  So, opposite = 2.

The Adjacent side, side BA, is just the x-coordinate of point A (and also point C).  So adjacent = 5.

Substituting these known values into the tangent function, we get the following:

[tex]tan(m\angle ABC)=\dfrac{2}{5}[/tex]

To solve for the measure of angle ABC, we need to apply the inverse tangent function (also known as arctangent).

[tex]arctan(tan(m\angle ABC)=arctan(\dfrac{2}{5})[/tex]

The left side simplifies because they are inverse functions:[tex]m\angle ABC=arctan(\dfrac{2}{5})[/tex]

Calculating the right side of the equation (rounding to 4 decimal places):

[tex]m\angle ABC \approx 21.8014^{o}[/tex]

Consider a binomial experiment with n = 10 and p = 0.40.

Answers

In a binomial experiment with n = 10 and p = 0.40 there is a 57.0% chance of getting 5 or more successes in the 10 trials.

A binomial experiment is a statistical experiment that consists of a fixed number of independent trials, where each trial can have only two outcomes, typically called "success" or "failure." The probability of success for each trial is denoted by p, and the number of trials is denoted by n.

In this case, we are given n = 10 and p = 0.40. This means that we are conducting an experiment with 10 independent trials, where the probability of success for each trial is 0.40.

Using this information, we can answer questions about the probability of various outcomes. For example, we can calculate the probability of getting exactly 5 successes in the 10 trials:

P(X = 5) = (10 choose 5) * 0.40^5 * (1 - 0.40)⁽¹⁰⁻⁵⁾

P(X = 5) = 0.246

This means that there is a 24.6% chance of getting exactly 5 successes in the 10 trials.

We can also calculate the probability of getting 5 or more successes:

P(X >= 5) = P(X = 5) + P(X = 6) + ... + P(X = 10)

P(X >= 5) = 0.246 + 0.204 + 0.088 + 0.026 + 0.005 + 0.001

P(X >= 5) = 0.570

This means that there is a 57.0% chance of getting 5 or more successes in the 10 trials.

Overall, the binomial distribution is a useful tool for modeling situations where there are a fixed number of trials with a binary outcome, and the probability of success is known for each trial.

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a) Calculate the scale factor from shape A to shape B.
b) Find the value of t.
Give each answer as an integer or as a fraction in its simplest form.
A
5 cm
15 cm
7cm
B
12 cm
4cm
t cm

Answers

The scale factor from A to B is 5 / 4.

The value of t in the diagram is 5.6 cm.

How to find scale factor?

Scale factor is the ratio between corresponding measurements of an object and a representation of that object.

Therefore, let's find the scale factor from the shape A to the shape B as follows:

5 / 4 = 15 / 12

Therefore, the scale factor is 5 / 4.

Hence, let's find the value of t in the diagram as follows:

Therefore, using the proportionality,

7 / t = 5 / 4

cross multiply

28 = 5t

divide both sides by 5

t = 28 / 5

t = 5.6 cm

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Answers

the answer is ( x,y ) —-> ( -5, 1 )
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