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3 years ago

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Mathematics

1 answer:

Alex Ar [27]3 years ago

5 0

Answer:

Step-by-step explanation:

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The weight of male american between the ages 18 to 25 is normally distributed, with mean of 162.7 lb and a standard deviation of

MArishka [77]

Answer:

218.7 lb.

Step-by-step explanation:

We have been given that the weight of male american between the ages 18 to 25 is normally distributed, with mean of 162.7 lb and a standard deviation of 28 lb.

One definition of obesity states that a person is obese if the z-score of his or her weight is greater than 2.

We will use z-score formula to solve our given problem.

$z=\frac{x-\mu}{\sigma}$ , where,

$z=\text{ z-score}$ ,

$x=\text{ Random sample-score}$ ,

$\mu=\text{ Mean}$ ,

$\sigma=\text{ Standard deviation}$ .

Upon substituting our given values in z-score formula we will get,

$2=\frac{x-162.7}{28}$

Now let us solve for x.

Upon multiplying both sides of our equation by 28 we will get,

$2*28=\frac{x-162.7}{28}*28$

$56=x-162.7$

Let us add 162.7 to both sides of our equation.

$56+162.7=x-162.7+162.7$

$218.7=x$

Therefore, the obesity threshold weight for a young adult American male is 218.7 pounds.

6 0

3 years ago

Read 2 more answers

Leslie mows lawns to earn money. For each customer, she charges $2.00 for gas and $3.00 per 12 hour of work. Let x represent the

RUDIKE [14]

Answer:

See Explanation

Step-by-step explanation:

Given

$Gas = \$2.00$

$Rate = \$3.00/12hr$

$\begin{array}{ccc}{Row} & {Hours} & {Earnings} & {A} & {2} & { } & {B} & {4} & { } & {C} & {6} &{ } \ \end{array}$ ---- Missing table

Required

Complete the table and plot the graph

First, we determine the equation of the table:

$Gas = \$2.00$

$Rate = \$3.00/12hr$ implies that:

$Rate = \$0.25/hr$

So:

$y = Gas + Rate * x$

$y = 2+ 0.25* x$

$y = 2+ 0.25 x$

To complete the table, we have:

$x = 2$

$y = 2+ 0.25 x = 2+0.25 * 2 = 2.5$

$x = 4$

$y = 2+ 0.25 x = 2+0.25 * 4 = 3$

$x = 6$

$y = 2+ 0.25 x = 2+0.25 * 6 = 3.5$

So, the complete table is:

$\begin{array}{ccc}{Row} & {Hours} & {Earnings} & {A} & {2} & {2.5} & {B} & {4} & {3} & {C} & {6} &{3.5} \ \end{array}$

See attachment for graph

6 0

3 years ago

Given that f(x)=2x-8, determine the average rate of change over the interval [2, 8].

8_murik_8 [283]

Answer:

Step-by-step explanation:

The average rate of change over [2, 8] is the change in the y-values over the change in the x-values.

$\frac{f(8) - f(2)}{8 - 2}$

$f(8) = 2(8) - 8 = 16 - 8 = 8$

$f(2) = 2(2) - 8 = 4 - 8 = -4$

$\frac{8 - (-4)}{8-2} = \frac{8 + 4}{8-2} = \frac{12}{6} = 2$

5 0

3 years ago

A gallery owner has purchased a very old painting for $3,000. The painting sells a 325% increase in price. What is the retail pr

sergiy2304 [10]

Answer:

The answer would have to be $9,750

7 0

4 years ago

What are all of the real roots of the following polynomial?

spayn [35]

Answer:

C. -3, -2, 2, and 3

Step-by-step explanation:

x⁴ - 13x² + 36 = 0

(x²-4) (x²-9) = (x+2)(x-2)(x+3)(x-3) =0

x = 2 or x = -2 or x = 3 and or x = -3

8 0

3 years ago