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4 years ago

What is the formula for the following arithmetic sequence?

Mathematics

1 answer:

marishachu [46]4 years ago

6 0

Answer:

an = -9 + 7( n - 1)

Step-by-step explanation:

an = first term + difference (n-1)

First term = 9

Difference = -2 - -9 = -2 + 9 = 7

an = -9 + 7( n - 1)

You can check this by substituting the values in.

a1 = -9 + 7(0) = -9

a2 = -9 + 7(2) = -9 + 7 = -2

a3 = -9 + 7(3) = -9 + 14 = 5

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2. Given the function f : x -> |x+8|, find the possible values of x when the image is 3.

Harman [31]

Answer:

f (x)=11

Step-by-step explanation:

f (x)= x + 8

f (3)= (3 +8)

=f(x) =11

**replace the x with a variable which is 3

3 0

3 years ago

The contents of a sample of 26 cans of apple juice showed a standard deviation of 0.06 ounces. We are interested in testing to d

NikAS [45]

Answer:

Option b. should not be rejected

Step-by-step explanation:

We are given that the contents of a sample of 26 cans of apple juice showed a standard deviation of 0.06 ounces.

We have to test whether the variance of the population is significantly more than 0.003, i.e.;

Null Hypothesis, $H_0$ : $\sigma$ = $\sqrt{0.003}$

Alternate Hypothesis, $H_1$ : $\sigma > \sqrt{0.003}$

The test statistics used here for testing variance is;

T.S. = $\frac{(n-1)s^{2} }{\sigma^{2} }$ ~ $\chi^{2}__n_-_1$

where, s = sample standard deviation = 0.06

n = sample size = 26 cans

So, Test statistics = $\frac{(26-1)0.06^{2} }{0.003 }$ ~ $\chi^{2}__2_5$

= 30

So, at 5% level of significance chi square table gives critical value of 37.65 at 25 degree of freedom. Since our test statistics is less than the critical so we have insufficient evidence to reject null hypothesis.

Therefore, we conclude that null hypothesis should not be rejected and variance of population is 0.003.

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3 years ago

Two trucks leave a warehouse at the same time. one travels due west at an average speed of 49 miles per hour, and the other trav

Gre4nikov [31]

Well there can be two different solutions for this but i will choose the easier one. Obviously one requires a system of equations which obviously will involve a lot of thinking and some good algebra solving in order for them to solve.

So we can just keep adding the distance as we know they are in different directions. 49 + 65 = 114. So 114 * 4.5 = 513 miles. SO after around 4.5 hours they will be 513 miles apart.

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3 years ago

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3 years ago

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abruzzese [7]

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3 years ago

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