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3 years ago

Only evens

Mathematics

1 answer:

VARVARA [1.3K]3 years ago

3 0

Answer:

2. for the first equation, it works, for the second it doesnt so the answer is no

i cant graph for you, but its easy, just use y=mx+b m being the slope which is rise over run

8. x=6, y=-1

10. x=-5 y=5

this is all i could do in such a short notice, but i hope it helped you!

Step-by-step explanation:

for 8, $2x-x+5=11\\x+5=11\\x=6$

for 10,

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A politician estimates that 61% of his constituents will vote for him in the coming election. How many constituents are required

Katyanochek1 [597]

Using the z-distribution, as we are working with a proportion, it is found that 1016 constituents are required.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

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

In which:

$\pi$ is the sample proportion.

z is the critical value.

n is the sample size.

The margin of error is given by:

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

In this problem, we have a 95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so the critical value is z = 1.96.

The estimate is of $\pi = 0.61$ , while the margin of error is of M = 0.03, hence solving for n we find the minimum sample size.

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

$0.03 = 1.96\sqrt{\frac{0.61(0.39)}{n}}$

$0.03\sqrt{n} = 1.96\sqrt{0.61(0.39)}$

$\sqrt{n} = \frac{1.96\sqrt{0.61(0.39)}}{0.03}$

$(\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.61(0.39)}}{0.03}\right)^2$

$n = 1015.5$

Rounding up, 1016 constituents are required.

More can be learned about the z-distribution at brainly.com/question/25890103

8 0

2 years ago

At the movie theater child admission is 6000 and $.30 an adult mission is $9.60 on Wednesday 172 tickets were sold for a total s

jasenka [17]

Answer:

The number of child tickets sold was 75 and the number of adult tickets sold was 97

Step-by-step explanation:

<u><em>The correct question is</em></u>

At the movie theater child admission is $6.30 an adult admission is $9.60 on Wednesday 172 tickets were sold for a total sales of $1403.70 How many child tickets and adult tickets were sold that day?

Let

x ----> number of child tickets sold

y ----> number of adult tickets sold

we know that

$x+y=172$ ----> equation A

$6.30x+9.60y=1,403.70$ -----> equation B

Solve the system by graphing

Remember that the solution of the system is the intersection point both lines

Using a graphing tool

The intersection point is (75,97)

see the attached figure

therefore

The number of child tickets sold was 75 and the number of adult tickets sold was 97

8 0

3 years ago

Which continent is estimated to have more than 5.31 billion people by 2050? To solve find what percent 5.31 is of billion is of

emmasim [6.3K]

The continent which has 59% of the total population will have more than 5.31 billion people by 2050.

<u>Step-by-step explanation:</u>

It is given that,

The total number of people is 9 billion.
The estimated number of people in 2050 year is 5.31 billion.

Therefore, you need to find out which continent has the estimated number by finding the percentage value.

<u>To find what percent 5.31 is of billion is of 9 billion :</u>

Let x be the percentage to be calculated.

⇒ x percent of 9 billion is 5.31 billion.

⇒ (x/100) × 9 = 5.31

⇒ x = (5.31 × 100) / 9

⇒ x = 531 / 9

⇒ x = 59 %

∴ The continent which has 59% of the total population will have more than 5.31 billion people by 2050.

4 0

3 years ago

What is the measure of angle x?

Murljashka [212]

Answer:

Step-by-step explanation:

90-47=43

6 0

3 years ago

What is the solution to the following system of equations?

Alchen [17]

Answer:

it has infinitely many solutions

3 0

3 years ago