Find the radius of a sphere whose volume is 12345mm

Answer:

The expected rate of return is 6.3%.

The standard deviation is of 11.29%.

Step-by-step explanation:

Expected rate of return

Multiply each rate by its probability. So

[tex]E = 0.1(-20) + 0.2(0) + 0.4(7) + 0.2(15) + 0.1(25) = 6.3[/tex]

The expected rate of return is 6.3%.

Standard deviation:

Square root of the difference squared between each value and the mean, multiplied by the probability. So

[tex]S = \sqrt{0.1(-20-6.3)^2 + 0.2(0-6.3)^2 + 0.4(7-6.3)^2 + 0.2(15-6.3)^2 + 0.1(25 - 6.3)^2} = 11.29[/tex]

The standard deviation is of 11.29%.

Answer: hello the options related to your question is missing attached below are the missing options

answer : Neither the 95% nor the 99% intervals will contain 0.25  ( B )

Step-by-step explanation:

Given that ;

H0 : = 0.25

Ha : ≠ 0.25

p-value = 0.002

also 95% and 99% confidence intervals are constructed

p value = 0.002        i.e. < 0.01  ∝ < 0.05 ∝

This means that we reject null hypothesis in both cases when  (∝ =0.05 and ∝ = 0.01 )

Hence The true statement about my confidence intervals is :

Neither the 95% nor the 99% intervals will contain 0.25

answer is 4√2

because, using pythagoras theorem

x² = 4² + 4²

x² = 16 + 16

x² = 32

x = √32

x = √(16 × 2)

x = √16 × √2

x = 4 × √2

x = 4√2

Answer:

6

Step-by-step explanation

following pemdas, we first multiply 2 x 2, which is four. Next, we do the other parenthesis, 8 - 6, which is two. 2 + 4 is 6.

Hope this helps!

Answer:

the answer is six

Step-by-step explanation:

2×2=4

then

8-6=2

4+2=6

Based on the analysis above, the ordered pairs that must be an ordered pair of the inverse of f(x) are (-5, 3) and (5, -3).

To determine which of the given ordered pairs must be an ordered pair of the inverse of f(x), we need to find the inverse function of f(x) and check which ordered pair satisfies the inverse function.

Given that (3, -5) is an ordered pair of the function f(x), it means that f(3) = -5.

Now, let's find the inverse function of f(x) by swapping the x and y variables and solving for y:

x = f(y)

Substituting f(3) = -5:

3 = f(y)

Therefore, the inverse function of f(x) is y = 3.

Now, let's check which of the given ordered pairs satisfies the inverse function:

- For (3, -5):

When we substitute x = 3 into the inverse function y = 3, we get y = 3. Therefore, (3, -5) does not satisfy the inverse function.

- For (3, 5):

When we substitute x = 3 into the inverse function y = 3, we get y = 3. Therefore, (3, 5) does not satisfy the inverse function.

- For (-5, 3):

When we substitute x = -5 into the inverse function y = 3, we get y = 3. Therefore, (-5, 3) satisfies the inverse function.

- For (5, -3):

When we substitute x = 5 into the inverse function y = 3, we get y = 3. Therefore, (5, -3) satisfies the inverse function.

Based on the analysis above, the ordered pairs that must be an ordered pair of the inverse of f(x) are (-5, 3) and (5, -3).

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Answer:

0.0062 = 0.62% probability that the sample mean is less than $650.

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.

Mean of $675 and a standard deviation of $80.

This means that [tex]\mu = 675, \sigma = 80[/tex]

A random sample of 64 families in this city paying for childcare is selected.

This means that [tex]n = 64, s = \frac{80}{\sqrt{64}} = 10[/tex]

Find the probability that the sample mean is less than $650.

This is the pvalue of Z when X = 650.

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

By the Central Limit Theorem

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

[tex]Z = \frac{650 - 675}{10}[/tex]

[tex]Z = -2.5[/tex]

[tex]Z = -2.5[/tex] has a pvalue of 0.0062

0.0062 = 0.62% probability that the sample mean is less than $650.

The probability that the sample mean is less than $650 is 0.62%.

The z score is given by:

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } \\\\where\ x=raw\ score,\sigma=standard\ deviation,\mu=mean,n=sample\ size\\\\\\Given \ \mu=675,\sigma=80,n=84, hence:\\\\For\ x<650:\\\\z=\frac{650-675}{80/\sqrt{64} } =-2.5[/tex]

From the normal distribution table:

P(x < 650) = P(z < -2.5) = 0.0062 = 0.62%

The probability that the sample mean is less than $650 is 0.62%.

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Answer:

5/2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-(-4))/(2-(-2))

m=(6+4)/(2+2)

m=10/4

simplify

m=5/2

Answer:

y = 3x + 5

Step-by-step explanation:

slope:

11 - (-1) / 2 - (-2) = 12/4 = 3

slope intercept form is y = mx + b, so right now you have m = 3:

y = 3x + b

now, since you know x = -2 and y =-1 is a solution, you can plug those values in:

-1 = 3 * -2 + b

-1 = -6 + b

5 = b

This means the equation is y = 3x + 5

Answer:

8,2

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

5/2⋅=15/2⋅=3

Answer:

D. 28.26 in²

Step-by-step explanation:

Area of a circle= πr²

r= 3

π= 3.14

A= (3.14)(3)²

A= 28.26 in²

Answer:

RM / RP = 10/18 = 5/9

RN/RQ = 7/21 = 1/3

Since the two ratios are not the same, triangle PRQ is not similar to triangle MRN.

Step-by-step explanation:

The triangles PRQ and MRN are not similar.

Triangles are similar if their corresponding angles are congruent and the corresponding sides are in proportion.

This means the ratio of there corresponding sides must be equal. The corresponding angles must be the same . Therefore, the following rules must apply:

∠R = ∠R

∠Q = ∠N

∠P = ∠M

The following proportion rule must apply below:

PR / MR = RQ / RN = PQ / MN

18 / 10 = 21 / 7

9 : 5 ≠ 3 : 1

Therefore, the triangles are not similar

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Answer:

10/7= $1.43 per kg

...........

0.7 kg = $1

7 kg - $10

? kg - $1

7 / 10 = 0.7

0.7 kg = $1

Let me know if I did something wrong :)

Answer:

The video is blocked but you can type your question on here1

Step-by-step explanation:

Answer:

3. The third option is correct.

Step-by-step explanation

here you go! hopefully this helps :))

Answer:

Answer is B

Step-by-step explanation:

Answer: E) 9

Step-by-step explanation:

1.12/4 = 0.28

2.52/0.28 = 9

Answer:

9

Step-by-step explanation:

To find how much each apple costs, you have to divide the price by how many apples he brought.

1.12/4 = 0.28

Each apple costs $0.28

Now, you have to divide 2.52 by 0.28.

2.52/0.28 = 9

He can buy 9 apples at the same price with $2.52.

The percentage of the trip that is still ahead of you is 69.2%.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

You are going to visit your aunt who lives 25 miles away. You have already traveled 7.7 miles.

The percentage of the trip that is still ahead of you is calculated as,

P = [(25 - 7.7) / 25] x 100

P = (17.3 / 25) x 100

P = 0.692 x 100

P = 69.2%

More about the percentage link is given below.

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Answer:

21x-45

Step-by-step explanation:

(11x-28)+(10x-17)=11x-28+10x-17=21x-45

Hope this helps =]

Hey there!

(11x - 28) + (10x - 17)

= 11x - 28 + 10x - 17

COMBINE the LIKE TERMS

= (11x + 10x) + (-28 - 17)

= 11x + 10x - 28 - 17

= 21x - 45

Therefore, your answer is: 21x - 45

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

constant: -6

Coefficient: -1

Variable: x

Step-by-step explanation:

Student A Mean:

(78 + 99 + 80 + 85 + 95 + 79 + 85 + 96)/8 = 87.125

Student A Mean Absolute Deviation: 7.15625

Student B Mean:

(100+ 80+ 79+75+92+ 93+75+ 78+ 84) / 9 = 84

Student B Mean Absolute Deviation: 7.33

Answer:

15/2 or 7.5 :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{6}{15} = \frac{3}{x}[/tex]

simply cross multiply

[tex]6x = 45[/tex]

divide both sides by 6

[tex]\frac{6x}{6} = \frac{45}{6}[/tex]

hence x will be equal to [tex]7.5[/tex]

Is it required to for it to be in decimals?

Answer:

Circle on the left: 30 ft Circle in the middle: 4m Circle on the right: 10 mm

Step-by-step explanation:

I got these answers by multiplying the radius by 2. In the problem, they gave you the radius. The diameter is r*2, so that is how I got my answers.

Answer:

1. I think 30ft 2. I think 4m 3.I think 10mm

Answer:

0.7823 = 78.23% probability that a truck drives less than 118 miles in a day.

Step-by-step explanation:

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.

Trucks in a delivery fleet travel a mean of 90 miles per day with a standard deviation of 36 miles per day.

This means that [tex]\mu = 90, \sigma = 36[/tex]

Find the probability that a truck drives less than 118 miles in a day.

This is the pvalue of Z when X = 118. So

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

[tex]Z = \frac{118 - 90}{36}[/tex]

[tex]Z = 0.78[/tex]

[tex]Z = 0.78[/tex] has a pvalue of 0.7823

0.7823 = 78.23% probability that a truck drives less than 118 miles in a day.

Answer:

8

Step-by-step explanation:

Since this is a rectangle, the opposite sides are congruent.

So the lengths of DG and EF are equal

3x + 5 = 29

3x = 29 - 5

3x = 24

x = 24/3

x = 8