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3 years ago

The graph below shows a system of equations:

Mathematics

1 answer:

Darya [45]3 years ago

4 0

ANSWER

The x-coordinate of the solution to the system of equations is 3.

EXPLANATION

The solution to the system of equations is the point of intersection of the straight lines that represents the given system.

From the graph the two straight lines intersected at:

(3,2)

Hence the solution to the system of equations is (3,2)

The x-coordinate of the solution to the system of equations is 3.

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Suppose that a market research firm is hired to estimate the percent of adults living in a large city who have cell phones. 500

Alborosie

Answer:

The 95% confidence interval estimate for the true proportion of adults residents of this city who have cell phones is (0.81, 0.874).

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:

$n = 500, \pi = \frac{421}{500} = 0.842$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.842 - 1.96\sqrt{\frac{0.842*0.158}{500}} = 0.81$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.842 + 1.96\sqrt{\frac{0.842*0.158}{500}} = 0.874$

The 95% confidence interval estimate for the true proportion of adults residents of this city who have cell phones is (0.81, 0.874).

6 0

4 years ago

H(x) = 5х+2.0х 3 - 45х-180х.<br> factor the polynomial

poizon [28]

The correct answer is 2x^3-40x-180

4 0

3 years ago

A magazine contains thirteen pages. You

n200080 [17]

Answer:

Step-by-step explanation:

because your more likely to open to a page deeper in the magazine

5 0

3 years ago

Complex numbers simplify square roots of negative numbers

Bogdan [553]

Lets do

$\\ \sf\longmapsto \sqrt{-100}$

$\\ \sf\longmapsto \sqrt{-(10)^2}$

$\\ \sf\longmapsto \sqrt{10^2}\sqrt{-1}$

$\\ \sf\longmapsto 10i$

Write in standard form

$\\ \sf\longmapsto 10i$

$\\ \sf\longmapsto \boxed{0}+\boxed{10}i$

3 0

3 years ago

Read 2 more answers

For f(x) = x + 7, find f(x) when x = 3 and when x = -5.

denpristay [2]

Answer:

When x = 3

f(3) = 3 + 7 = 10

When x = -5

f(-5) = -5 + 7 = 2

please mark me the brainliest

6 0

2 years ago