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3 years ago

Which of the following is an arithmetic sequence?

1 answer:

alexandr1967 [171]3 years ago

8 0

Answer: Only the second sequence is arithmetic.

Work:
An arithmetic sequence is a sequence in which there is a common value added or subtracted between each term in the sequence.
The first option, -2, 4, -6, 8,... is not arithmetic because the terms switch back and forth between positive and negative signs meaning that there is no common value that can be added between each term.
The second option, -8, -6, -4, -2,... is arithmetic because there is a common difference between each term which is +2.
The third option, 2, 4, 8, 16,... is not arithmetic but is, in fact, geometric. There is no common value that is added or subtracted between each term.

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3x^2 + 35x + 50 factored

Liula [17]

When you factor this problem you get:

(3x+5)(x+10)

4 0

3 years ago

Write an equivalent expression for 4(3a+7)+3 (2a+5) if a=5, is the the solution to both expressions the same

Levart [38]

<span>Alternative</span>
4(3*5+7)+3(2*5+5)=
4(22)+3(15)=
(4*22)+(3*15)=
88+45=133

4 0

3 years ago

Read 2 more answers

X:35 = 20:28<br> For what value of x is the proportion shown<br> above true?

Ivanshal [37]

Answer:

Step-by-step explanation:

x = (20/28) * 35

x = 25

7 0

3 years ago

A sample of 16 ATM transactions shows a mean transaction time of 67 seconds with a standard deviation of 12 seconds. Find the te

vredina [299]

Answer:

b. 2.333

Step-by-step explanation:

Test if the mean transaction time exceeds 60 seconds.

At the null hypothesis, we test if the mean transaction time is of 60 seconds, that is:

$H_0: \mu = 60$

At the alternate hypothesis, we test if it exceeds, that is:

$H_1: \mu > 60$

The test statistic is:

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

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

60 is tested at the null hypothesis:

This means that $\mu = 60$

A sample of 16 ATM transactions shows a mean transaction time of 67 seconds with a standard deviation of 12 seconds.

This means that $n = 16, X = 67, s = 12$

Value of the test statistic:

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

$t = \frac{67 - 60}{\frac{12}{\sqrt{16}}}$

$t = \frac{7}{3}$

$t = 2.333$

Thus, the correct answer is given by option b.

5 0

3 years ago

Yellowstone Lake, in Wyoming, is the largest high-altitude lake in North America, measuring 20 miles long and 14 miles wide. How

agasfer [191]

Answer:

6.67in long and 4.67in wide

Step-by-step explanation:

Given the amp of the scale 1 inch = 3 mi?

If the measured length is 20miles

Let x be the dimension of the length on the map

1 inch = 3 mi?

x = 20miles

3x = 20

x = 20/3

x = 6.67in

For the width,

Width =14miles

Let y be the dimension of the width on the map

1 inch = 3 mi

y = 14miles

3y = 14

y = 14/3

y = 4.67in

Hence the Yellowstone Lake appears 6.67in long and 4.67in wide on the Map

7 0

3 years ago