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Tju [1.3M]
3 years ago
14

Find the common difference of the arithmetic sequence –8, -2, 4, ...

Mathematics
1 answer:
ELEN [110]3 years ago
8 0

Answer:

<h3>               d = 6</h3>

Step-by-step explanation:

a_1=-8\\a_2=-2\\a_3=4\\\\d=a_2-a_1=a_3-a_2=...=a_n-a_{n-1}\qquad\qquad \{n\ge2\}\\\\\left{\big{a_2-a_1=-2-(-8)=-2+8=6}\atop\big{a_3-a_2=4-(-2)=4+2=6\quad\ \,}\right\}\implies\ \ d=6

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3. A space shuttle in orbit travels about 60,000 kilometers in two hours. What is its average
Travka [436]

Answer:

30,000 is your answer for ur math problem

4 0
3 years ago
I don't know how to solve this
sergiy2304 [10]
The answer that I got was side  WX = 12 inches

It says that WY is congruent to XY which means that they are the same. That means that XY is also 3m-4. It also says that the perimeter of the triangle is 76 inches.

With this information I set up an equation:

3m-4 + 3m-4 +m = 76

(The number on the right side is the perimeter given to us in the problem and the numbers on the left side are the 3 side lengths).

I combined like terms on the left side and ended up with:

7m-8=76 

I added 8 to both sides of the equation and got 7m=84.

Finally I divided both sides by 7 and got m=12

m is equivalent to side WX..

Hope this helps!
4 0
4 years ago
Game consoles: A poll surveyed 341 video gamers, and 95 of them said that they prefer playing games on a console, rather than a
brilliants [131]

Answer:

proportion of gamers who prefer console does not differ from 29%

Step-by-step explanation:

Given :

n = 341 ; x = 95 ; Phat = x / n = 95/341 = 0.279

H0 : p = 0.29

H1 : p ≠ 0.29

The test statistic :

T = (phat - p) ÷ √[(p(1 - p)) / n]

T = (0.279 - 0.29) ÷ √[(0.29(1 - 0.29)) / 341]

T = (-0.011) ÷ √[(0.29 * 0.71) / 341]

T = -0.011 ÷ 0.0245725

T = - 0.4476532

Using the Pvalue calculator from test statistic score :

df = 341 - 1 = 340

Pvalue(-0.447, 340) ; two tailed = 0.654

At α = 0.01

Pvalue > α ; We fail to reject the null and conclude that there is no significant evidence that proportion of gamers who prefer console differs from 29%

4 0
3 years ago
Mind helping me out?
4vir4ik [10]

Answer:

Answer is 4 cups.Hope this help!!

8 0
3 years ago
Read 2 more answers
What is the area of the rectangle?
Sveta_85 [38]

Answer:

B

Step-by-step explanation:

Area = L * W

L = 12 m

W = 10 m

Area = 12 m * 10 m

Area = 120 m^2

3 0
3 years ago
Read 2 more answers
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