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vovangra [49]
3 years ago
9

F(x) = x2 + 1 g(x) = 5 – x (f + g)(x) =

Mathematics
1 answer:
Gnom [1K]3 years ago
4 0

Answer:

(f + g)(x) =  {x}^{2} - x + 6

Step-by-step explanation:

We have

f(x) =  {x}^{2}  + 1

and

g(x) = 5 - x

We want to find (f+g)(x).

By the algebraic properties of polynomial functions,

(f + g)(x) = f(x) + g(x)

(f + g)(x) =  {x}^{2}  + 1 + 5 - x

This simplifies to

(f + g)(x) =  {x}^{2}  - x + 6

We can't simplify further, hence the simplest form

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Suppose a marketing company wants to determine the current proportion of customers who click on ads on their smartphones. It was
andrezito [222]

Answer:

The 92% confidence interval for the true proportion of customers who click on ads on their smartphones is (0.3336, 0.5064).

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}.

For this problem, we have that:

n = 100, p = 0.42

92% confidence level

So \alpha = 0.08, z is the value of Z that has a pvalue of 1 - \frac{0.08}{2} = 0.96, so Z = 1.75.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.42 - 1.75\sqrt{\frac{0.42*0.58}{100}} = 0.3336

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.42 - 1.75\sqrt{\frac{0.42*0.58}{100}} = 0.5064

The 92% confidence interval for the true proportion of customers who click on ads on their smartphones is (0.3336, 0.5064).

4 0
3 years ago
What is the exact volume of the cylinder? A.) 54pi in3
MatroZZZ [7]

Answer:

Choice D

Step-by-step explanation:

You use the formula V=pi(radius^2)(h). Once you take the pi out and plug in the numbers, you should get V= 6^2(9). You get 324 with the pi added on after it.

3 0
2 years ago
Read 2 more answers
2x^2 / x^2 - y^2 - x^2 / xy - y ^ 2​
Juliette [100K]

Answer:

2 - 2y^2 - x/y

Step-by-step explanation:

2x^2/x^2 = 2

and

x^2/xy = x/y

therefore

2x^2/x^2 - y^2 - x^2/xy - y^2

= 2 - y^2 - x/y - y^2

= 2 - y^2 - y^2 - x/y

= 2 - 2y^2 - x/y

6 0
3 years ago
The price of an item has risen to $156 today. Yesterday it was $65 . Find the percentage increase.
faltersainse [42]
That's a BIG increase in price!  What cost $65 yesterday is now $156.  What was the increase?  $156 - $65 = $91.

Next:  $91 is what fraction of $65?  Divide.  Answer:  1.4.

Finally, multiply this last result by 100%:  140% (answer)
6 0
3 years ago
Help!! please!! thankss
Kipish [7]

Answer:

6

pls mark brainlest

Step-by-step explanation:

4 0
3 years ago
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