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2 years ago

12

The diagonal length of a rectangular swimming pool can be represented by 10 times the square root of 5. Which expression represe

nts this length?

1 answer:

Helga [31]2 years ago

5 0

Answer:

C

Step-by-step explanation:

the third option correctly shows 10 times the square root of 5 (10 $\sqrt{5}$ )

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Is this directly proportional?<br> Speed and time, if the distance traveled is 120 km.

Andru [333]

Answer:

No

Step-by-step explanation:

If the speed rises then it will take you less time

If the speed decreases then it will take you more time

8 0

3 years ago

In a recent year, Washington State public school students taking a mathematics assessment test had a mean score of 276.1 and a s

Oksi-84 [34.3K]

Answer:

a) $\mu_{\bar x} =\mu = 276.1$

$\sigma_{\bar x} =\frac{\sigma}{\sqrt{n}}=\frac{34.4}{\sqrt{64}}=4.3$

b) From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu=276.1, \frac{\sigma}{\sqrt{n}}=4.3)$

c) $P(\bar X \geq 285)=P(Z\geq \frac{285-276.1}{4.3}=2.070)$

$P(Z\geq2.070)=1-P(Z$

Step-by-step explanation:

Let X the random variable the represent the scores for the test analyzed. We know that:

$\mu=E(X) = 276.1 , \sigma=Sd(X) = 34.4$

And we select a sample size of 64.

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Part a

For this case the mean and standard error for the sample mean would be given by:

$\mu_{\bar x} =\mu = 276.1$

$\sigma_{\bar x} =\frac{\sigma}{\sqrt{n}}=\frac{34.4}{\sqrt{64}}=4.3$

Part b

From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu=276.1, \frac{\sigma}{\sqrt{n}}=4.3)$

Part c

For this case we want this probability:

$P(\bar X \geq 285)$

And we can use the z score defined as:

$z=\frac{\bar x -\mu}{\sigma_{\bar x}}$

And using this we got:

$P(\bar X \geq 285)=P(Z\geq \frac{285-276.1}{4.3}=2.070)$

And using a calculator, excel or the normal standard table we have that:

$P(Z\geq2.070)=1-P(Z$

8 0

3 years ago

BMI<br>weight 1.62 (5'4")<br>height 46 kg (102 Ibs)<br>

Vesnalui [34]

Answer:

158iuhudjdkdidiidjdjfjuf

6 0

3 years ago

The volume of a gas "V" varies inversely with the pressure "P" put on it. If the volume is 360cm³ under a pressure of 20 kgcm2

Sav [38]

Answer:

15 Kg cm²

Step-by-step explanation:

Given that V varies inversely with P then the equation relating them is

V = $\frac{k}{P}$ ← k is the constant of variation

To find k use the condition

V = 360, P = 20, then

360 = $\frac{k}{20}$ ( multiply both sides by 20 )

k = 7200

V = $\frac{7200}{P}$ ← equation of variation

When V = 480, then

480 = $\frac{7200}{P}$ ( multiply both sides by P )

480P = 7200 ( divide both sides by 480 )

P = 15

3 0

3 years ago

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Lelechka [254]

For A the answer is 72 but I can’t read the numbers on B

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2 years ago