Which of the following is equal to the rational expression below...

An alarming number of U.S. adults are either overweight or obese. The distinction between overweight and obese is made on the ba

sladkih [1.3K]

Answer:

(a) The probability that a randomly selected adult is either overweight or obese is 0.569.

(b) The probability that a randomly selected adult is neither overweight nor obese is 0.431.

Step-by-step explanation:

Let <em>A</em> = a person is over weight and <em>B</em> = a person is obese.

The information provided is:

An adult is considered overweight if the BMI ≥ 25 but BMI < 30.

An obese adult will have a BMI ≥ 30.

According to the range of BMI the events A and B are independent.

P (A) = 0.331 and P (B) = 0.357.

(a)

Compute the probability that a randomly selected adult is either overweight or obese as follows:

P (A ∪ B) = P (A) + P (B) - P (A ∩ B)

= P (A) + P (B) - P (A)×P (B)

$=0.331+0.357-(0.331\times0.357)\\=0.569833\\=0.569$

Thus, the probability that a randomly selected adult is either overweight or obese is 0.569.

(b)

Compute the probability that a randomly selected adult is neither overweight nor obese as follows:

$P(A^{c}\cup B^{c})=1-P(A\cup B)=1-0.569=0.431$

Thus, the probability that a randomly selected adult is neither overweight nor obese is 0.431.

4 0

4 years ago

Magnus wants to borrow $26,000 to remodel his kitchen. He is hoping that his monthly payment will be no more than $372. The bank

Oksi-84 [34.3K]

Answer:

About 81 months

Step-by-step explanation:

We'll have to use this formula: A = P x i(1 + i)ˣ / (1 + i)ˣ - 1

A = Montly payment (372)

P = Loan amount (26,000)

i = interest rate/12 (0.043/12 = 0.035833)

x = months (?)

372 = 26,000 x 0.035833(1 + 0.035833)ˣ / (1 + 0.035833)ˣ - 1

First, substitute (1 + 0.035833)ˣ for y just to make things easier

372 = 26,000 x 0.035833y / y - 1

Multiply both sides by y - 1

(y-1)(372 = 26,000 x 0.035833y / y - 1)

372y - 372 = 26,000 x 0.035833y

Divide both sides by y

(372y - 372)/y = (26,000 x 0.035833y)/y

372 - 372/y = 26,000 x 0.035833

Add 372/y to both sides

372 - 372/y = 26,000 x 0.035833

- 372/y - 372/y

372 = 93.1667 + 372/y

Subtract 93.1667 from both sides

372 = 93.1667 + 372/y

- 93.1667 - 93.1667

372 - 93.1667 = 372/y

Cross multiply

y = 372/(372 - 93.1667)

y = 1.33413

(1 + 0.035833)ˣ = 1.33413

log₁₋₀₀₃₅₈₃₃(1.035833ˣ) = log₁₋₀₀₃₅₈₃₃(1.33413ˣ)

x = 80.59418

7 0

2 years ago

harry rolls a number cube what is the probability that he will roll an even number or a number greater than 4

kap26 [50]

The probability would be either 2/3 or 80%

4 0

4 years ago

Read 2 more answers

Write the equation of the line that passes through (3, 4) and (2, −1) in slope-intercept form. y = 3x − 7 y = 3x − 5 y = 5x − 11

babymother [125]

Find the slope of the line first using $\frac{y2 - y1}{x2 - x1}$
(3, 4), (2, -1)
$\frac{-1 - 4}{2 - 3}$
$\frac{-5}{-1}$ = 5

Now use y - y1 = m(x - x1) to make an equation in slope-intercept form. Plug the numbers into the formula.

y - (-1) = 5(x - 2)
y + 1 = 5x - 10
y = 5x - 11

The equation of the line in slope-intercept form would be y = 5x - 11.

3 0

3 years ago

Read 2 more answers

If Paige walks 5 miles in 60 minutes, then Paige will walk how far in 100 minutes if she walks at the same speed the whole time?

jeka94

Answer:

Paige would walk 8.33 miles.

Step-by-step explanation:

Paige is walking at a rate of 1 mile per 12 minutes. At this rate, Paige would walk 8.33 miles in 100 minutes.

6 0

3 years ago