Which is the same as 15.39 ÷ 100?

When you go swimming the pressure in your ears varies directly with the depth at which you swim. At 10 feet, the pressure is abo

Serjik [45]

Answer:

(a) $p = 0.43d$

(b) $p = 21.5$

(c) $d = 151.163$

Step-by-step explanation:

Given

Variation: Direct

Represent ear pressure with p and depth with d.

So, we have:

$p\ \alpha\ d$

$d =10$ when $p =4.3$

Solving (a): Write a variation

We have:

$p\ \alpha\ d$

Write as an equation

$p = kd$

Where: k is the constant of variation

$d =10$ when $p =4.3$

So, we have:

$4.3 = k * 10$

Make k the subject

$k = \frac{4.3}{10}$

$k = 0.43$

Substitute 0.43 for k in $p = kd$

$p = 0.43d$

Solving (b): Pressure at 50 feet

Substitute 50 for d in $p = 0.43d$

$p = 0.43 * 50$

$p = 21.5$

The pressure is 21.5 pounds per square

Solving (c): The safe depth

The safe depth stops at a pressure of 65psi.

Substitute 65 for p in $p = 0.43d$

$65 = 0.43 * d$

Make d the subject

$d = \frac{65}{0.43}$

$d = 151.162790698$

$d = 151.163$ -- approximated

<em>The safe distance for an amateur is 151.163ft</em>

8 0

3 years ago

Use the following net to find the surface area of the solid figure it represents.

hodyreva [135]

Answer:

The solid formed is a cylinder

The total surface area is $131.88cm^2$

Step-by-step explanation:

The given net is made up of a rectangle and two circles.

The total surface area is the area of the rectangle plus the area of the two circles.

This implies that:

$S.A=75.36+2(28.26)$

$\implies S.A=75.36+56.52$

$\implies S.A=131.88cm^2$

The rectangular surface can be folded into the curved surface of a cylinder with the two circles becoming the lid.

8 0

4 years ago

Read 2 more answers

A laboratory tested 85 chicken eggs and found that the mean amount of cholesterol was 190 milligrams. Assume that the sample sta

Serjik [45]

Answer: $(182.356,\ 197.644)$

Step-by-step explanation:

Given : Significance level : $\alpha:1-0.95=0.05$

Sample size : n=85

Critical value : $z_{\alpha/2}=1.96$

Sample mean : $\overline{x}=190$

Standard deviation : $\sigma=11.7$

The confidence interval for population mean is given by :-

$\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}\\\\=190\pm(1.96)\dfrac{11.7}{\sqrt{9}}\\\\=190\pm7.644\\\\=(190-7.644,\ 190+7.644)=(182.356,\ 197.644)$

Thus, the 95% confidence interval for the true mean cholesterol content, μ, of all such eggs = $(182.356,\ 197.644)$

Hence, we conclude that the true population mean of amount of cholesterol lies between 182.356 and 197.644.

5 0

3 years ago

If the probability of rain tomorrow is 0.6, what is the probability that it will not rain?

docker41 [41]

0.6 out of 1 so => 1 - 0.6 = 0.4

7 0

3 years ago

Read 2 more answers

Can someone please help me with this question?

nekit [7.7K]

The answer is -1. This is because you can plug in the negative values to see which ones work.

7 0

3 years ago