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lakkis [162]
2 years ago
6

The sum of three consecutive even integers is 486. Find all three integers.​

Mathematics
1 answer:
Salsk061 [2.6K]2 years ago
8 0

Answer:

161 + 162 + 163 = 486

Step-by-step explanation:

(X) + (X + 1) + (X + 2) = 486

X + X + 1 + X + 2 = 486

3X + 3 = 486

3X + 3 - 3 = 486 - 3

3X = 483

3X/3 = 483/3

X = 161

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-m + 10 = -8 – 6m + 3m
Crank
M = -9 ; solve for m by simplifying both sides of the equation, then isolating the varible 
3 0
3 years ago
Find the equation of the line which passes through the point (-4,12) and is perpendicular to the given line. Express your answer
Vika [28.1K]

Answer:

y = 1/7x + 88/7

Step-by-step explanation:

y = mx +b

since it is perpendicular you have to get the negative reciprocal of the slope which is 1/7

y = 1/7x + b then you would plug in your points

12 = 1/7(-4) + b and then solve for b

12 = -4/7 + b

+ 4/7

88/7 = b

y = 1/7x + 88/7

8 0
3 years ago
According to a marketing research study, American teenagers watched 14.8 hours of social media posts per month last year, on ave
ki77a [65]

Answer:

The value of test statistics is 1.06.

Step-by-step explanation:

We are given that according to a marketing research study, American teenagers watched 14.8 hours of social media posts per month last year, on average. A random sample of 11 American teenagers was surveyed and the mean amount of time per month each teenager watched social media posts was 15.6. This data has a sample standard deviation of 2.5.

We have to test if the mean amount of time American teenagers watch social media posts per month is greater than the mean amount of time last year or not.

Let, NULL HYPOTHESIS, H_0 : \mu = 14.8 hours  {means that the mean amount of time American teenagers watch social media posts per month is same as the mean amount of time last year}

ALTERNATE HYPOTHESIS, H_1 : \mu > 14.8 hours  {means that the mean amount of time American teenagers watch social media posts per month is greater than the mean amount of time last year}

The test statistics that will be used here is One-sample t-test;

             T.S. = \frac{\bar X - \mu}{\frac{s}{\sqrt{n} } } ~ t_n_-_1

where, \bar X = sample mean amount of time per month each teenager watched social media posts = 15.6 hours

             s = sample standard deviation = 2.5 hours

             n = sample of teenagers = 11

So, <u>test statistics</u> =  \frac{15.6 - 14.8}{\frac{2.5}{\sqrt{11} } } ~ t_1_0

                            = 1.06

Hence, the value of test statistics is 1.06.

5 0
3 years ago
If g (x) = 2x + 2, find g (a + h) - g <br> a. .<br> a. 2h<br> b. 2h + 4<br> c. h + 2
katrin [286]
G(x) = 2x + 2

g(a + h) - g(a) = 2(a+h) + 2 - (2(a) + 2)

g(a + h) - g(a) = 2a + 2h + 2 - 2a - 2

g(a + h) - g(a) = 2h + 2 - 2

g(a + h) - g(a) = 2h


Your final answer is a. 2h.
6 0
3 years ago
Read 2 more answers
The price of Stock A at 9 A.M. was ​$14.65. Since​ then, the price has been increasing at the rate of ​$0.13 each hour. At noon
Nataly [62]

Answer:

The prices of the two stocks will be the same in 1.56 hours.

 

The price of Stock A at 9 A.M. was ​$12.95 Since​ then, the price has been increasing at the rate of ​$0.12 each hour.

This means that after x hours, the value of Stock A is:

After noon:

Noon is 3 hours after 9 AM, so

So in x hours after noon, the value is given by:

At noon the price of Stock B was ​$13.70. It begins to decrease at the rate of ​$0.13 each hour.

This means that after x hours, the value of Stock B is:

In how many hours will the prices of the two stocks be the​ same?

This is x for which:

The prices of the two stocks will be the same in 1.56 hours.

Step-by-step explanation:

Hope this helps:)

5 0
2 years ago
Read 2 more answers
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