Will mark brainliest+ 10 points

Write an equation, in point-slope form, of the line that passes through the point (4, -3) with a slope -7.

Ilya [14]

Answer:

point-slope form:

y - 10 = -4(x - -2)

y - 10 = -4(x + 2)

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slope-intercept form:

y - 10 = -4x - 8

y = -4x - 8 + 10

y = -4x + 2

Step-by-step explanation:

6 0

3 years ago

The measures of two angles are 2x⁰ and (3x + 20)⁰. What is the measure of each angle if x = 14?

galben [10]

Answer:

The measures of two angles are 2x⁰ and (3x + 20)⁰. What is the measure of each angle if x = 14?

b 28 and 62

4 0

3 years ago

Increase 250ml by 85%

aev [14]

I believe that the answer to the question is 200ml!

if this helped please rank brainliest !!

xXREBEKAHXx

4 0

4 years ago

g A sanitation supervisor is interested in testing to see if the mean amount of garbage per bin is different from 50. In a rando

Tema [17]

Answer:

We accept the null hypothesis, that is, the the mean amount of garbage per bin is not different from 50.

Step-by-step explanation:

A sanitation supervisor is interested in testing to see if the mean amount of garbage per bin is different from 50.

This means that the null hypothesis is:

$H_{0}: \mu = 50$

And the alternate hypothesis is:

$H_{a}: \mu \neq 50$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

50 tested at the null hypothesis:

This means that $\mu = 50$

In a random sample of 36 bins, the sample mean amount was 50.67 pounds and the sample standard deviation was 3.9 pounds.

This means that $n = 36, X = 50.67, \sigma = 3.9$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{50.67 - 50}{\frac{3.9}{\sqrt{36}}}$

$z = 1.03$

p-value:

Since we are testing if the mean is differente from a value and the z-score is positive, the pvalue is 2 multipled by 1 subtracted by the pvalue of z = 1.03.

z = 1.03 has a pvalue of 0.8485

1 - 0.8485 = 0.1515

2*0.1515 = 0.3030

0.3030 > 0.01, which means that we accept the null hypothesis, that is, the the mean amount of garbage per bin is not different from 50.

5 0

3 years ago

The double number line shows that 555 pounds of avocados cost \$9$9dollar sign, 9.

Mice21 [21]

Answer:

1 pound of avocado costs $1.8.

Step-by-step explanation:

This problem is just a simple division problem. We jest need to divide the given values to get the answer. For our problem, to know the price of 1 pound of avocado, we need to divide the $9 by 5 since the problem stated that the price of 5 pounds of avocados is $9.

Given:

5 pounds avocados = $9

Required:

cost of 1 pound of avocado

Solution:

$9 / 5 pounds = $1.8/pound

1 pound avocado = $1.8

Notice from the first line of solution, the unit became $ per pound. This means that we did the right operation since we are looking for the price per pound.

To check if we computed for the correct value, we should multiply $1.8 to 5. If the answer from doing this is $9, then our answer is correct.

Checking:

$1.8 * 5 = $9

Therefore, the cost of 1 pound of avocado is $1.8

Step-by-step explanation:

5 0

3 years ago

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