There are 30 red marbles, 16 blue marbles, and 14 green marbles in a jar.
What is the probability of picking out a red marble without looking?
30%
50%
23%
0 27%

Answer:

Step-by-step explanation:

its D because 400 divided by 8 is 50

[tex]\boldsymbol{4}[/tex] is closest to the radius, in inches, of the cylinder.

So, option A. is correct.

Height of a cylinder [tex](h)=8[/tex] inches

Volume of a cylinder[tex]=400[/tex] cubic inches

Let [tex]r[/tex] denotes radius of a cylinder.

Volume of a cylinder [tex]=\pi r^2 h[/tex]

[tex]400=\frac{22}{7}r^2 (8)[/tex]

[tex]r^2=15.9\\r=3.99[/tex]

So, [tex]\boldsymbol{4}[/tex] is closest to the radius, in inches, of the cylinder.

So, option A. is correct.

Find out more information about cylinder here:

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Equation:  (1 2/3)(2 1/3) = x

Answer:  3 8/9 cups

Step-by-step explanation:

x represents the amount of flour she will need in cups.

To solve, convert the mixed numbers to improper fractions and multiply...

1 2/3 becomes 5/3

2 1/3 becomes 7/3

Now we have

(5/3)(7/3) = x

  35/9 = x

35/9 is 3 8/9 as a mixed number

Answer:

Step-by-step explanation:

The route makes a right triangle with legs 3 mi and 4 mi, and the hypotenuse of x mi.

Use Pythagorean to find the distance:

Vector Review Practice Answers:

1. B - initial (14,-5); terminal (0,0)

2. A - sqrt(22^2 + 4^2)

3. B - <4,12>

4. D - Yes, the two vectors have the same magnitude and direction.

5. D - Vectors u and v are neither because the angle between the two vectors is not equal to 0 degrees, 90 degrees, or 180 degrees

6. C - approximately 4 mi. at a direction angle of 56 degrees northeast

7. A - approximately 174 mph at a direction angle of 58 degrees northeast

8. A - -200

9. D - W = 59 ft*lbs

10. C - u = 4/5i - 3/5j

Answer:

See below

Step-by-step explanation:

[tex]1) \: \frac{1}{2} \times 5 \times 6 = 15 \: {cm}^{2} \\ \\ 2) \: \frac{1}{2} \times 10 \times 6 = 30 \: {cm}^{2} \\ \\ 3) \: 5 \times 3 = 15 \: {cm}^{2} \\ \\ 4) \: 10 \times 6= 60\: {cm}^{2} [/tex]

The axis of symmetry goes through the x-value. 4. So your equation for your axis of symmetry is going to be x equals. 0 (undetermined)

- branliest will be appreciated

Thanks

Answer:

A =  225 π  c m [tex]x^{2}[/tex]

Step-by-step explanation:

the area of a circle formula with radius  

A  =  π r[tex]x^{2}[/tex]  

in this case

A = π ×  15[tex]x^{2}[/tex]  

A  =  225 π  c m[tex]x^{2}[/tex]

Answer:

Step-by-step explanation:

Area of a circle = π r²        you are given the r  radius =  15cm

   area = π 15² cm

Answer:

the answer is 32 ounces

Answer:

In 2 pounds, there are 32 ounces.

Explanation:

1 pound = 16 ounces

Answer:

5/13

Step-by-step explanation:

1. We are given tan(x)=5/12 .....(2)

2. On comparing the quantities we get that p=5 and b=12

3. We require the value of hypotenuse(h),

for this we apply the Pythagoreum theorum: p^2+b^2=h^2

⇒h^2=5^2+12^2

⇒h^2=25+144

⇒h^2=169

⇒ h=√169

⇒ h=13

Sin=p/h

p=5

h=13

Sin=5/13

Answer:

0.121 = 12.1% probability of observing a sample mean of 30.5 grams of fat per pound or less in a random sample of 34 farm-raised trout.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Farm-raised trout contain an average of 32 grams of fat per pound, with a standard deviation of 7.5 grams of fat per pound.

This means that [tex]\mu = 32, \sigma = 7.5[/tex]

Sample of 34:

This means that [tex]n = 34, s = \frac{7.5}{\sqrt{34}} = 1.2862[/tex]

Find the probability of observing a sample mean of 30.5 grams of fat per pound or less in a random sample of 34 farm-raised trout.

This is the pvalue of Z when X = 30.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{30.5 - 32}{1.2862}[/tex]

[tex]Z = -1.17[/tex]

[tex]Z = -1.17[/tex] has a pvalue of 0.121

0.121 = 12.1% probability of observing a sample mean of 30.5 grams of fat per pound or less in a random sample of 34 farm-raised trout.

Answer:

420

Step-by-step explanation:

Answer:

Strerch by factor of 5 on y-axis.

Shift by 4 to the left on x-axis.

Shift by 6 up the y-axis.

Hope this helps.

Step-by-step explanation:

Answer:

18 sq meters

Step-by-step explanation:

A = 1/2(3)(9 + 3)

A = 1/2(3)(12)

A = 18

Answer:

40

Step-by-step explanation:

It tells you what Q, R is for the opening. That means that it is 40

The measure of angle PQR is 70 degrees

We have a right triangle - r is 90 degrees

based on geometric rules: angle RPQ = 20    

 40 : 2

90 + 20 = 110

110 + x = 180

What is the perimeter of the triangle?

The perimeter of the triangle is 180 degrees

The triangle has 180 degrees.

This means that 180 - 110 =70 degrees.

The measure of angle PQR is 70 degrees.

Answer: 42 Units Cubed

Step-by-step explanation:

Volume of a Prism is typically length * width * height

in the problem the 5 and 1/4 is the area of that base so it is is the height and width already multiplied

so now just multiply the length, which is 8, to the area of the base to find the volume

[tex]8*5\frac{1}{4} \\8*\frac{21}{4} \\2*21\\42[/tex]

Answer:

[tex]volume \: = cross sectional \: area \times height \\ = 5 \ \frac{1}{4} units {}^{3} \times 8units \\ = \frac{21}{4} \times 8 \ \\ = 42units {}^{3} [/tex]

Answer:

A, Yes, he has 1 cup left

Step-by-step explanation:

5.25 at the start

5.25 - 3.5 = 1.75

1.75 + 2 = 3.75

3.75 - 2.75 = 1

Answer:

1

Step-by-step explantion:

bam theres the answer, its 1.

yes he has 1 cup left

Answer:

The second one, -11/12

Step-by-step explanation:

I used a website so sorry I don't have an explanation

Answer:

12 sq cm

Step-by-step explanation:

Area of rectangular pyramid = Area of base which is square + 4 times the area of one triangle.

[tex] = {2}^{2} + 4( \frac{1}{2} \times 2 \times 2) \\ \\ = 4 + 4(2) \\ \\ = 4 + 8 \\ \\ = 12 \: {cm}^{2} [/tex]

Answer:

1/3

Step-by-step explanation:

Answer: 2/5 (1/3 + 1/2) = 1/3 ≅ 0.3333333

Step-by-step explanation:

Answer: 15 Yards 2 feet

Step-by-step explanation:

3 feet in a yard

45/3 = 15

2 remaining = 2 feet

Answer:

15.667 in yards

Step-by-step explanation:

Answer:

im not completely sure but i think its either CQQMNFV or  DRRNMGW

Step-by-step explanation:

Answer:

around 36 is the diameter

Step-by-step explanation:

C=2Pir or pi*d

113.04=pi*d

113.04/pi=d

d≈36

give me brainliest[tex]≈[/tex]

36 units is the diameter of the circle.

The perimeter of a two-dimensional form is the space surrounding it. It represents the total length of the shape's sides. The units used to measure the sides of the form, such as meters, centimeters, inches, or feet, determine the units used to measure the perimeter.

We can use the formula for the circumference of a circle, C = πd,

where C is the circumference and d is the diameter.

Substituting the given value, we have:

113.04 = πd

To solve for d, we can divide both sides by π:

d = 113.04/π

Using a calculator to evaluate this expression, we get:

d ≈ 36

Therefore, the diameter of the circle is approximately 36 units.

Learn more about perimeter here:

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Answer:

1. Surface Area = 122                Volume = 84

2. Surface Area = 1632             Volume = 2880

3. Surface area = 168                Volume = 144

4. Volume = 1350[tex]\pi[/tex]

Step-by-step explanation:

1. This is a rectangular prism. To find the surface area it is the same thing. Find the area of all sides and add them together.  Because this is a rectangular prism most of the sides are equal so we will only need to find the area of three sides. To find the area of the right side, just do 4*3=12. That would be the same for the opposite side. Then to find the front side, do 7*4= 28. That would also be the same for the opposite side. Then to find the top side, do 7*3= 21. That is the same for the bottom side. Add them all together and you will get your answer. 28+28+21+21+12+12 = 122.

To find the volume of a rectangular prism the formula is V = l*w*h.

Plug in: V = 7*3*4 and then you will get 84.

2. This is a triangular prism. First find the area of the the triangular surface by multiplying the base x height and dividing by 2. (16*12)/2 = 96.  That is the same for the opposite side. Then find the area of the bottom rectangular surface. 12*30 = 360. Then find the area of the back rectangular surface. 16*30 = 480. Then find the area of the final base rectangle. 30*20 = 600. Add them together and you will get 1632. Basically, find the area of all sides and then add them together.

To find volume the formula is, V = (1/2)a*c*h

Fill that in: V = (1/2)16*12*30 and then you will get 2880.

3. This is a trapezoidal prism. To find the surface area you would find the area of all sides then add them together. To find the are of a trapezoid, the formula is: A = [tex]\frac{a+b}{2}[/tex]h

Fill that in: A = [tex]\frac{4+12}{2}[/tex](6) and then you will get 48.

That is the same for the opposite side. Then you need to find the area of the rectangular side of the trapezoidal prism. 3*4= 12. This is also the same as the opposite side. The bottom side is 12*3= 36. The top side is 3*4= 12.

Add all of them together and you get 168.

1/2(4+12)*6

To find volume, V =  [tex]\frac{1}{2}[/tex]h(b₁+b₂)h.

Fill in: V =  [tex]\frac{1}{2}[/tex]6(12+4)3 and then you will get 144.

4. This is a cylinder. The formula to find the volume is A=[tex]\pi[/tex]r²h. Because you are leaving the answer in terms of pi, do not multiply pi into the equation.

So you would do r²h. 15² = 225. 225*6= 1350. So your answer would be 1350[tex]\pi[/tex].

Answer:

1. f⁻¹(x) = ±²√(-⅓(x + 6)) + 4

2. y = ²√(x–3) + 4

3. y = (x/4)³

9514 1404 393

Answer:

Step-by-step explanation:

To find the inverse function, solve for y the equation ...

  x = f(y)

__

1.

  [tex]x=f(y)\\\\x=-3(y-4)^2-6\\\\x+6=-3(y-4)^2\qquad\text{add 6}\\\\\pm\sqrt{\dfrac{x+6}{-3}}=y-4\qquad\text{divide by -3, square root}\\\\4\pm\dfrac{1}{3}\sqrt{-3(x+6)}=y\qquad\text{add 4, rationalize the denominator}\\\\\boxed{f^{-1}(x)=4\pm\dfrac{1}{3}\sqrt{-3x-18}}\qquad\text{simplify the radical}[/tex]

__

2.

  [tex]x=\sqrt{y-4}+3\\\\x-3=\sqrt{y-4}\qquad\text{subtract 3}\\\\(x-3)^2=y-4\qquad\text{square both sides}\\\\\boxed{y=(x-3)^2+4}\qquad\text{add 4}[/tex]

__

3.

  [tex]\displaystyle x=4\sqrt[3]{y}\\\\\frac{x}{4}=\sqrt[3]{y}\\\\\left(\dfrac{x}{4}\right)^3=y\qquad\text{cube both sides}\\\\\boxed{y=\dfrac{x^3}{64}}[/tex]

Answer:

-45x-90

Step-by-step explanation:

-9*5x=-45

-9*10=-90

Answer:

2 * 7 * 7 = 98

hope this answer helps you!

Answer:

A

Step-by-step explanation:

Answer:

Its D i did this before cause I do i-Ready to! <3

Answer:

Step-by-step explanation:

Given

x^2 + y^2 - 16y - 36 = 0

x^2 + y^2 - 16y = 36

x^2 + y^2 - 16y + (16/2)^2 = 36 + 8^2

x^2 + (y - 8)^2 = 64 + 36

x^2 + (y - 8)^2 = 100

The center is at (0,8) and the radius is 10

Try and follow it from the graph below.