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2 years ago

Human body temperatures are normally distributed with a mean of 98.20degreesF and a standard deviation of 0.62 degrees

Mathematics

2 answers:

garik1379 [7]2 years ago

6 0

Answer with explanation:

The formula of Z score is

$Z_{Score}=\frac{\Bar X-\mu}{\sigma}\\\\ Z_{7 \text{Percent}}$

The value of temperatures are that separates the top 7% from the bottom 93% are:⇒

98.53 < Temperature in degrees < 98.72

iogann1982 [59]2 years ago

3 0

Answer: The temperature that separates the top 7% with the bottom 93% is 99.12 degrees.

The z-score that corresponds to 93% is about 1.48. If we write the equation for the z-score, we can solve for the missing temperature.

The equation would be:
(x - 98.2) / 0.62 = 1.48
x - 98.2 = 0.9176
x = 99.12 degrees

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balandron [24]

The volume of the geometry that is oblique prism is $\rm 0.5x^3 + x^2$ . Then the correct option is A.

<h3>What is Geometry?</h3>

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Given

The oblique prism below has an isosceles right triangle base.

The triangular bases have 2 sides with a length of x.

The distance from the 2 triangular bases is (x + 3).

The vertical height of the prism is (x + 2).

The volume of the oblique prism will be

$\rm Volume = Area\ of \ triangle * Vertical\ Height \\\\Volume = \dfrac{1}{2} (Base)^2 * Vertical \ Hetght\\\\Volume = \dfrac{1}{2} x^2 (x + 2)\\\\Volume = \dfrac{1}{2} x^3 + x^{2} \\\\$

The volume of the oblique prism is $\rm 0.5x^3 + x^2$ .

Thus, option A is correct.

More about the geometry link is given below.

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2 years ago

If \$1000 is deposited into an account that earns 3.25\% simple interest per year, how much money will be in the account after 7

Andrei [34K]

<h3>Answer: 1227.50 dollars</h3>

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Explanation:

The simple interest formula to use is

A = P*(1+r*t)

where,

A = account value after t years (original deposit + interest)

P = 1000 = amount deposited (principal)

r = 0.0325 = annual interest rate in decimal form

t = 7 = number of years

So,

A = P*(1+r*t)

A = 1000*(1+0.0325*7)

A = 1227.50

Side note: you've earned A-P = 1227.50-1000 = 277.50 dollars in total interest

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anzhelika [568]

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