Dawn is verifying the accuracy of her paycheck. She

A marketing firm would like to test-market the name of a new energy drink targeted at 18- to 29-year-olds via social media. A st

Anon25 [30]

Answer:

(a) The probability that a randomly selected U.S. adult uses social media is 0.35.

(b) The probability that a randomly selected U.S. adult is aged 18–29 is 0.22.

(c) The probability that a randomly selected U.S. adult is 18–29 and a user of social media is 0.198.

Step-by-step explanation:

Denote the events as follows:

X = an US adult who does not uses social media.

Y = an US adult between the ages 18 and 29.

Z = an US adult between the ages 30 and above.

The information provided is:

P (X) = 0.35

P (Z) = 0.78

P (Y ∪ X') = 0.672

(a)

Compute the probability that a randomly selected U.S. adult uses social media as follows:

P (US adult uses social media (X')) = 1 - P (US adult so not use social media)

$=1-P(X)\\=1-0.35\\=0.65$

Thus, the probability that a randomly selected U.S. adult uses social media is 0.35.

(b)

Compute the probability that a randomly selected U.S. adult is aged 18–29 as follows:

P (Adults between 18 - 29 (Y)) = 1 - P (Adults 30 or above)

$=1-P(Z)\\=1-0.78\\=0.22$

Thus, the probability that a randomly selected U.S. adult is aged 18–29 is 0.22.

(c)

Compute the probability that a randomly selected U.S. adult is 18–29 and a user of social media as follows:

P (Y ∩ X') = P (Y) + P (X') - P (Y ∪ X')

$=0.22+0.65-0.672\\=0.198$

Thus, the probability that a randomly selected U.S. adult is 18–29 and a user of social media is 0.198.

6 0

2 years ago

HELPP HELP. It’s about slope!!!! Explanation needed

OleMash [197]

Answer:

x = -3

Step-by-step explanation:

A line has equation: y = ax + b

This line has slope a = 1

This line passes (4, 1)

=> 1 = 4 + b

=> b = -3

=> The equation of this line : y = x - 3

This line passes another point (x, -6)

=> -6 = x - 3

=> x = -6 + 3

=> x = -3

3 0

3 years ago

2 Look at the open number line in Problem 1. How would you change the numbers to show 9 + 5?

-BARSIC- [3]

Answer:

i need the number line

Step-by-step explanation:

lol

8 0

2 years ago

In a random sample, 10 students were asked to compute the distance they travel one way to school to the nearest tenth of a mile.

elixir [45]

Answer:

Mean = 3.12, Variance = 3.324, Standard deviation = 1.8232

Step-by-step explanation:

Total number of students = 10 students.

Given data, 1.1, 5.2, 3.6, 5.0, 4.8, 1.8, 2.2, 5.2, 1.5, 0.8

To find the mean, at first we have to take the sum of all given data and then divide with the number of students.

Let the data is X, = 1.1, + 5.2, + 3.6, + 5.0, + 4.8, + 1.8, + 2.2, + 5.2, + 1.5, + 0.8 = 31.2

Mean = 31.2 / 10 = 3.12

$\text{Standard deviation, S} = \sqrt{\frac{\sum x^{2} - \left [ (\sum x)^{2}/n \right ]}{n-1}} \\S = 1.8232 \\\rm The \ Variance = S^{2} = 3.324$

5 0

2 years ago

Victoria and her friends are going to the skateboard shop to pickup some equipment. They buy two new skateboards for $87.98 each

nika2105 [10]

Answer:

$304.63

Step-by-step explanation:

From the information provided, the total cost can be calculated by multiplying the price of each item for the amount purchased and adding up the results:

Total cost=($87.98*2)+($14.57*3)+($21.24*4)

Total cost=$175.96+$43.71+$84.96

Total cost= $304.63

According to this, the answer is that their total cost is $304.63.

3 0

2 years ago