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just olya [345]
3 years ago
5

The volumes of two similar solids are 1728 m³ in 343 m³. The surface area of the larger solid is 576 m². What is the surface are

a of the smaller solid
A. 196 m²
B. 76 m2
C. 1372 m²
D. 392 m²
Mathematics
1 answer:
77julia77 [94]3 years ago
7 0

Answer:

A. 196 m²

Step-by-step explanation:

The two similar solids have volumes 1728 m³ and 343 m³.

The ratio of their side lengths is :

\sqrt[3]{1728}:\sqrt[3]{343}

This simplifies to:

12:7

If the surface area of the larger solid is  576 m², then the surface area of the smaller solid is given by:

\frac{7^2}{12^2}\times 576=196

The correct answer is A

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The director of a state agency believes that the average starting salary for clerical employees in the state is less than ​$35 c
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Answer:

There is not enough evidence to conclude that  average starting salary for clerical employees in the state is less than ​$35,000 per year.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 35,000 dollars per year

Sample mean, \bar{x} = 34,700 dollars per year

Sample size, n = 100

Alpha, α = 0.10

Population standard deviation, σ = 3,500 dollars per year

First, we design the null and the alternate hypothesis

H_{0}: \mu = 35,000\text{ dollars per year}\\H_A: \mu < 35,000\text{ dollars per year}

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z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

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z_{stat} = \displaystyle\frac{34700 - 35000}{\frac{3500}{\sqrt{100}} } = -0.8571

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We fail to reject the null hypothesis and accept the null hypothesis.

Thus, there is not enough evidence to conclude that  average starting salary for clerical employees in the state is less than ​$35,000 per year.

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3 years ago
Supposed Blue spruce was included in the list and the mean decreased to 165 what is the height of the Blue spruce?
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The height of the blue spruce was 45.

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Multiply both sides by 7:
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7 0
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Answer:

1/6^8

Step-by-step explanation:

the answer is the one right next to the submit answer

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