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a_sh-v [17]
3 years ago
5

Rewrite the following equation in slope-intercept form. x + 5y = -11 Write your answer using integers, proper fractions, and imp

roper fractions in simplest form. Submit ​
Mathematics
1 answer:
AveGali [126]3 years ago
7 0

Answer:

\displaystyle y = -\frac{x}{5} - 2\frac{1}{5}

Step-by-step explanation:

\displaystyle x + 5y = -11 → 5y = -x - 11 → \frac{5y}{5} = \frac{-x - 11}{5} \\ \\ y = -\frac{1}{5}x - 2\frac{1}{5}

I am joyous to assist you at any time.

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750 divided by 20 what is the remainder​
scoundrel [369]

Answer:

Step-by-step explanation:

The remainder is 10!

Hope it helps

8 0
3 years ago
Nancy knows that the perimeter of her garden is 28 feet, and the length is 8 feet. She forgot to measure the width, but was able
8_murik_8 [283]

Answer:

W = (P - 2L)/2 = (28- 2*8)/2 = 6

Where W is the width, P is the perimeter and L is the length of the garden.

Step-by-step explanation:

Since the equations are not given, i will try to come up with the similar equation than the ne that was the correct option in this exercise.

You can obtain the perimeter of a rectangle by summing the length of its four sides. Thus, the perimeter of the garden, lets call it P, is 2W + 2L, where W denotes the width and L the length. Since Nancy knows the perimeter, in order to calculate the width she can substract from it 2L (which is also known), and divide by 2 to obtain W, thus

W = (P - 2L)/2

If we reemplace P by 28 and L by 8, we obtain

W = (28-8*2)/2 = (28-16)/2 ) = 12/2 = 6.

7 0
3 years ago
Suppose you place 16 green, 25 blue, and 9 yellow marbles in a non-transparent bag. you then randomize the marbles by shaking th
Leni [432]

Answer: \frac{12}{49}

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

16 green + 25 blue + 9 yellow = 50 Total

First pick: 25 blue out of 50 total = \frac{25}{50} = \frac{1}{2}

Second Pick: 24 blue out of 49 total = \frac{24}{49}


First Pick    AND    Second Pick

       \frac{1}{2}           x                \frac{24}{49}   =        \frac{24}{(2)49}      = \frac{12}{49}

5 0
3 years ago
A local hamburger shop sold a combined total of
Brilliant_brown [7]
640 u can thank me later
6 0
3 years ago
The director of research and development is testing a new medicine. She wants to know if there is evidence at the 0.02 level tha
docker41 [41]

Answer:

The p-value of the test statistic is 0.2019.

Step-by-step explanation:

Test if there is evidence at the 0.02 level that the medicine relieves pain in more than 384 seconds.

At the null hypothesis, we test if it relieves pain in at most 384 seconds, that is:

H_0: \mu \leq 384

At the alternative hypothesis, we test if it relieves pain in more than 384 seconds, that is:

H_1: \mu > 384

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.

384 is tested at the null hypothesis:

This means that \mu = 384

For a sample of 41 patients, the mean time in which the medicine relieved pain was 387 seconds. Assume the population standard deviation is 23.

This means that n = 41, X = 387, \sigma = 23

Value of the test statistic:

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

z = \frac{387 - 384}{\frac{23}{\sqrt{41}}}

z = 0.835

P-value of the test:

The p-value of the test is the probability of finding a sample mean above 387, which is 1 subtracted by the p-value of z = 0.835.

Looking at the z-table, z = 0.835 has a p-value of 0.7981.

1 - 0.7981 = 0.2019

The p-value of the test statistic is 0.2019.

4 0
3 years ago
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