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Mademuasel [1]
2 years ago
12

The sum of the first 15 terms of the sequence an=10n+21

Mathematics
1 answer:
enot [183]2 years ago
3 0
That is
the sum of all the terms from a1 to an when you are summing up n terms is n(a1+an)/2
so

find the 1st and 15th term
1st term is a1=10(1)=21=10+21=31
15th term is a15=10(15)+21=150+21=171

and n=15
15(31+171)/2=15(202)/2=3030/2=1515
the sum of the first 15 term is 1515
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Which graph shows the solution to the inequality Negative 3 x minus 7 less-than 20
Aleksandr-060686 [28]

Answer:

A number line goes from negative 10 to positive 10. An open circle appears at negative 9. The number line is shaded from negative 9 through positive 10.

Step-by-step explanation:

we have

-3x-7

Solve for x

Adds 7 both sides

-3x

-3x

Divide by -3 both sides

Remember that

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x> 27/(-3)\\x>-9

The solution is the interval (-9,∞)

therefore

A number line goes from negative 10 to positive 10. An open circle appears at negative 9. The number line is shaded from negative 9 through positive 10.

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2 years ago
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A random sample of 15 observations from the first population revealed a sample mean of 350 and a sample standard deviation of 12
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Answer:

Step-by-step explanation:

Hello!

You have two random samples obtained from two different normal populations.

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n₁= 15

X[bar]₁= 350

S₁= 12

Sample 2

n₂= 17

X[bar]₂= 342

S₂= 15

At α: 0.05 you need to obtain the p-value for testing variances for a one tailed test.

If the statistic hypotheses are:

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The statistic to test the variances ratio is the Stenecor's-F test. F_{H_0}=(\frac{S^2_1}{Sigma^2_1}) * (\frac{S^2_2}{Sigma^2_2} )~F_{n_1-1;n_2-1}

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I hope it helps!

7 0
2 years ago
TU = 3, RS = 15, TW = 4, TR = 9; Assume that the sides of triangle TUW are proportional to the sides of triangle TRS. What is th
VMariaS [17]

Answer:

  WS=8\ units

Step-by-step explanation:

we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal and the corresponding angles are also equal

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\frac{TU}{TR}=\frac{UW}{RS}=\frac{TW}{TS}

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\frac{TU}{TR}=\frac{TW}{TS}

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WS=TS-TW

WS=12-4=8\ units

see the attached figure to better understand the problem

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