All categories

4 years ago

PLEASE HELP!

Mathematics

1 answer:

serg [7]4 years ago

3 0

Hello from MrBillDoesMath!

Answer:

x = 30

Discussion:

Note: I ignored the * in f*(x) as i don't know what it means. (If this is not what you intended, please indicate what * means)

f(x) = 2 sqrt(x-5) + 4

f(x) = 14

14 = 2 sqrt(x-5) + 4 => subtract 4 from both sides

14 -4 = 2 sqrt(x-5) => divide both sides by 2

10/2 = sqrt(x-5) =>

5 = sqrt(x-5) => square both sides

5*5 = x-5 => add 5 to both sides

5*5 + 5 = x

25 + 5 = x

x = 30

Thank you,

MrB

You might be interested in

How many solutions are there to the equation below?

Reil [10]

I think it’s B I’m not to sure but I know someone with that exact solution

5 0

3 years ago

P=2L+2w solve for w helppppp

AnnZ [28]

L=-w+p/2 i found it on auto calculator

4 0

4 years ago

Read 2 more answers

Please help! Will give Brainliest!<br><br> Identify the axis of symmetry of y = ( x - 7 ) ( x + 1 )

inysia [295]

The axis of symmetry would be X=3

3 0

3 years ago

Read 2 more answers

Help @ APOLOGIABIOLOGY plzzzzzzzzzz solve all in need plzzzzzzzzzzzzz HELP !!!! Solving inequalities

lesya [120]

Let me know you got it ok.

7 0

3 years ago

A news station would like to conduct an exit poll to determine the likelihood that a highly debated amendment will receive enoug

vladimir1956 [14]

Answer:

The expression is $n = (\frac{1.645*0.5}{0.03})^2$

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 z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

The margin of error is of:

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

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a p-value of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

What expression would give the smallest sample size that will result in a margin of error of no more than 3 percentage points?

We have to find n for which M = 0.03.

We have no prior estimate for the proportion, so we use $\pi = 0.5$ . So

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

$0.03 = 1.645\sqrt{\frac{0.5*0.5}{n}}$

$0.03\sqrt{n} = 1.645*0.5$

$\sqrt{n} = \frac{1.645*0.5}{0.03}$

$(\sqrt{n})^2 = (\frac{1.645*0.5}{0.03})^2$

$n = (\frac{1.645*0.5}{0.03})^2$

The expression is $n = (\frac{1.645*0.5}{0.03})^2$

3 0

3 years ago