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gregori [183]
3 years ago
7

There’s a picture so I don’t have to type out the question

Mathematics
1 answer:
Lorico [155]3 years ago
3 0

For this case we have the following function:

s (V) = \sqrt [3] {V}

This function describes the side length of the cube.

If Jason wants a cube with a minimum volume of 64 cubic centimeters, then we propose the following inequality:

s \geq \sqrt [3] {64}

Rewriting we have:

s \geq \sqrt [3] {4 ^ 3}\\s \geq4

Answer:

Option B

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andre [41]

Answer

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8 0
3 years ago
In a representative sample of 1000 adult Americans, only 400 could name at least one justice who is currently serving on the U.S
lys-0071 [83]

Answer:

1) z = -6.32

2) p-value = 0.001 × 10^(-2)

3) we will reject the null hypothesis and conclude that there is enough evidence to support the claim that fewer than half of adult Americans can name at least one justice currently serving on the Supreme Court

Step-by-step explanation:

We are told that In a representative sample of 1000 adult Americans, only 400 could name at least one justice.

Thus:

Sample proportion; p^ = 400/1000 = 0.4

Sample size: n = 1000

We want to find if there is convincing evidence to support the claim that fewer than half of adult Americans can name at least one justice.

Thus, the hypothesis is defined as;

Null hypothesis:H0: p ≥ 0.5

Alternative hypothesis: Ha < 0.5

Formula for the test statistic is;

z = (p^ - p)/√(p(1 - p)/n)

Plugging in the relevant values;

z = (0.4 - 0.5)/√(0.5(1 - 0.5)/1000)

z = -6.32

From online p-value from z-score calculator attached, using z = -6.32; significance level of 0.01; one tailed hypothesis;

We have:

p-value = 0.00001 = 0.001 × 10^(-2)

The p-value is less than the significance level and so we will reject the null hypothesis and conclude that there is enough evidence to support the claim that fewer than half of adult Americans can name at least one justice currently serving on the Supreme Court

8 0
2 years ago
2. Erin stores her art work in a box like the rectangular prism below. 10 inches long, 9 inches wide, and 4 inches tall. Write a
GarryVolchara [31]

Answer:

10*9*4=360

Step-by-step explanation:

Volume = Length * Width * Height

8 0
2 years ago
The volume of a prism is 702 cubic inches of the length is 13 inches and the width is 6 inches what is the height
balu736 [363]

volume = L x W x H

702 = 13 x 6 x h

702 = 78 x h

702/78 = h

h = 9



8 0
3 years ago
A line intersects the point (6,9) and (7,4). What is the slope intercept equation for this line?
BartSMP [9]

Answer:

im kind of rusty on this math but i think the equation would be y=-5x+b  i forgot how to find b tho :( im sorry

6 0
3 years ago
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