All categories

2 years ago

Solve each system by substitution y=-2x + 7 y = 3x - 13

Mathematics

1 answer:

oksian1 [2.3K]2 years ago

7 0

Answer:

y = -1, x =4

Step-by-step explanation:

3x-`13=-2x+7

x = 4

y=3(4)-13

y = -1

You might be interested in

Researchers are studying the distribution of subscribers to a certain streaming service in different populations. From a random

Katen [24]

Answer:

$CI = (0.17 - 0.27)\± 1.65\sqrt{\frac{(0.17)*(0.83) + (0.27)*(0.73)}{200}}$

Step-by-step explanation:

Given

$n = 200$

$x_1 = 34$ -- City C

$x_2 = 54$ --- City K

Required

Determine the 90% confidence interval

This is calculated using:

$CI = \bar x \± z\frac{\sigma}{\sqrt n}$

Calculating $\bar x$

$\bar x = \bar x_1 - \bar x_2$

$\bar x = \frac{x_1}{n} - \frac{x_2}{n}$

$\bar x = \frac{34}{200} - \frac{54}{200}$

$\bar x = 0.17 - 0.27$

For a 90% confidence level, the z-score is 1.65. So:

$z = 1.65$

Calculating the standard deviation $\sigma$

$\sigma = \sqrt{(\bar x_1)*(1 - \bar x_1) + (\bar x_2)*(1 - \bar x_2) }$

So:

$\sigma = \sqrt{(0.17)*(1 - 0.17) + (0.27)*(1 - 0.27) }$

$\sigma = \sqrt{(0.17)*(0.83) + (0.27)*(0.73)}$

So:

$CI = (0.17 - 0.27)\± 1.65\frac{\sqrt{(0.17)*(0.83) + (0.27)*(0.73)}}{\sqrt {200}}$

$CI = (0.17 - 0.27)\± 1.65\sqrt{\frac{(0.17)*(0.83) + (0.27)*(0.73)}{200}}$

7 0

2 years ago

In the past, Samuel got paid $59,950 annually. Since switching to a new career, he has been making 18% more. How much does Samue

Basile [38]

The correct answer is $70,741 :)

3 0

3 years ago

Read 2 more answers

Is there another number that has the prime factorization of 2x2x2x2x2x2x5x5x5x5x5x5?Explain.

NeX [460]

You have to put the number and count how many there are. Something like this.

7 0

3 years ago

Can anyone help with this problem?

Lana71 [14]

Answer:

1.7

Step-by-step explanation:

7 0

2 years ago

Each carton of eggs cost $3 make a table and an equation

dolphi86 [110]

Answer:

y = 3x

Step-by-step explanation:

x is number of cartons of eggs

y is cost

cost increases by 3 for every carton of eggs, so slope is 3

x and y intercepts are zero because there is no cost when there are no eggs

equation: y = 3x

7 0

3 years ago

Read 2 more answers