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3 years ago

Let ƒ(x) = x2 + 2x and g(x) = 2x. Evaluate the composition (ƒ ∘ g)(2).

Mathematics

2 answers:

Mademuasel [1]3 years ago

8 0

Step-by-step explanation:

(ƒ ∘ g)(x)

= ƒ(2x)

= (2x)² + 2(2x)

= 4x² + 4x.

Therefore (ƒ ∘ g)(2) = 4(2)² + 4(2) = 16 + 8 = 24.

Juli2301 [7.4K]3 years ago

6 0

Answer:

Step-by-step explanation:

g(2) = 2(2)= 4

f(4) = 4^2 + 2(4) = 16 + 8 = 24

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A researcher wants to estimate the percentage of all adults that have used the Internet to seek pre-purchase information in the

lara31 [8.8K]

Answer:

The sample size is 1875.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

Sampling error of 0.03.

This means that $M = 0.03$

99.74% confidence level

So $\alpha = 0.0026$ , z is the value of Z that has a pvalue of $1 - \frac{0.0026}{2} = 0.9987$ , so $Z = 3$ .

25% of all adults had used the Internet for such a purpose

This means that $\pi = 0.25$

What is the sample size

The sample size is n. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.03 = 3\sqrt{\frac{0.25*0.75}{n}}$

$0.03\sqrt{n} = 3\sqrt{0.25*0.75}$

Simplifying by 0.03 both sides

$\sqrt{n} = 100\sqrt{0.25*0.75}$

$(\sqrt{n})^2 = (100\sqrt{0.25*0.75})^2$

$n = 1875$

The sample size is 1875.

7 0

3 years ago

What's A number N added to 8?

BlackZzzverrR [31]

Hhvhhchgcgchchcgchvnvxffyhijkiu

3 0

3 years ago

Deon plans to ride a 15-mi bicycle trail. If his average is 20mi/h, with equation can he use to find the time T, in hours, for t

goldenfox [79]

Distance traveled by Deon to ride a bicycle trail = 15 mile

Average speed of Deon to ride a bicycle trail = 20 mi/hour

Let 'T' be the time taken to ride the bicycle trail.

We will use distance speed formula to write the equation to find the time 'T' in hours, for the ride.

Distance = $\frac{Speed}{time}$

$15 = \frac{20}{T}$

So, $T = \frac{20}{15}$

This equation will be used to find the time 'T' in hours for the ride.

4 0

3 years ago

Read 2 more answers

Ava's bedroom rug is 2 3/4 feet long and 2 1/2 feet wide. What is the area of the rug

TiliK225 [7]

Area = length times width i think you got it from there

6 0

3 years ago

Evaluate 9^-45 divided by 5+8=

gladu [14]

well this is a mind game all you had to do was add 5+8 together

in reality the question is simple its

9^-45 divided by 13

because 5+8=13

your answer is 8 in decimal form

the fraction form is

1/5*9^45+8

7 0

2 years ago