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3 years ago

What is the volume of the square in units cubed

Mathematics

1 answer:

Lerok [7]3 years ago

4 0

Answer:

Answer is given below with explanations. 

Step-by-step explanation:

$volume \: of \: sphere = \frac{4}{3} \pi \: {r}^{3} \\ here \: r = \frac{1}{2} \\ volume \: of \: sphere \\ = \frac{4}{3} \times \frac{22}{7} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \\ = 0.523$

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In the library on a university campus, there is a sign in the elevator that indicates a limit of 16 persons. Furthermore, there

Vedmedyk [2.9K]

Answer:

a) 151lb.

b) 6.25 lb

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $\frac{\sigma}{\sqrt{n}}$ .

In this problem, we have that:

$\mu = 151, \sigma = 25, n = 16$

a) The expected value of the sample mean of the weights is 151 lb.

(b) What is the standard deviation of the sampling distribution of the sample mean weight?

This is $s = \frac{\sigma}{\sqrt{n}} = \frac{25}{\sqrt{16}} = 6.25$

8 0

3 years ago

the price of a mobile phone was $600 in 2007. The price of a mobile phone is 2019 as increased to $1,100. What is the inflation

Elenna [48]

Answer:

0.83

Step-by-step explanation:

The $500 price increase over this 12 year span results in the inflation rate:

$500

---------- = 0.83..., or 0.83 to the nearest hundredth (equivalent to 83%)

$600

6 0

3 years ago

Which is the simplified form of the expression ((2 Superscript negative 2 Baseline) (3 Superscript 4 Baseline)) Superscript nega

AlekseyPX

Answer:

The option "StartFraction 1 Over 3 Superscript 8" is correct

That is $\frac{1}{3^8}$ is correct answer

Therefore $[(2^{-2})(3^4)]^{-3}\times [(2^{-3})(3^2)]^2=\frac{1}{3^8}$

Step-by-step explanation:

Given expression is ((2 Superscript negative 2 Baseline) (3 Superscript 4 Baseline)) Superscript negative 3 Baseline times ((2 Superscript negative 3 Baseline) (3 squared)) squared

The given expression can be written as

$[(2^{-2})(3^4)]^{-3}\times [(2^{-3})(3^2)]^2$