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3 years ago

Use x+9 to write a sequence. start with x=0. then, use your answer as the next x value

Mathematics

1 answer:

mylen [45]3 years ago

3 0

Answer:

Step-by-step explanation:

Well, we are trying to make a sequence starting with 0 and are using the x values in the equation to make the sequence.

First we start with 0.

Then we plug in 0 into x+9 to get 9, which is the next value in the sequence.

1. 0, 9, (9+9)

2. 0,9,18, (18+9)

3. 0,9,18,27, (27+9) and so on.

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The producer of a certain bottling equipment claims that the variance of all its filled bottles is .027 or less. A sample of 30

o-na [289]

Answer:

$p_v = P(\chi^2_{29}>42.963)=1-0.954=0.0459$

b. between .025 and .05

Step-by-step explanation:

Previous concepts and notation

The chi-square test is used to check if the standard deviation of a population is equal to a specified value. We can conduct the test "two-sided test or a one-sided test".

$\bar X$ represent the sample mean

n = 30 sample size

s= 0.2 represent the sample deviation

$\sigma_o =\sqrt{0.027}=0.164$ the value that we want to test

$p_v$ represent the p value for the test

t represent the statistic

$\alpha=$ significance level

State the null and alternative hypothesis

On this case we want to check if the population standard deviation is less than 0.027, so the system of hypothesis are:

H0: $\sigma \leq 0.027$

H1: $\sigma >0.027$

In order to check the hypothesis we need to calculate the statistic given by the following formula:

$t=(n-1) [\frac{s}{\sigma_o}]^2$

This statistic have a Chi Square distribution distribution with n-1 degrees of freedom.

What is the value of your test statistic?

Now we have everything to replace into the formula for the statistic and we got:

$t=(30-1) [\frac{0.2}{0.164}]^2 =42.963$

What is the approximate p-value of the test?

The degrees of freedom are given by:

$df=n-1= 30-1=29$

For this case since we have a right tailed test the p value is given by:

$p_v = P(\chi^2_{29}>42.963)=1-0.954=0.0459$

And the best option would be:

b. between .025 and .05

6 0

4 years ago

During its first year, there were 138 volunteers at a community outreach program. Over the next 2 years, there were 156 voluntee

dem82 [27]

Answer:

0.1%

Step-by-step explanation:

138 into a percent=1.38%

156 into a percent=1.56%

175 into a percent=1.75%

1.38-1.56=0.18

1.56-1.75=0.19

0.19-0.18= 0.1%

5 0

3 years ago

The function f(x)is graphed on the coordinate plane.

professor190 [17]

Answer:

f(-2) = -2

Step-by-step explanation:

f(-2) means find the y value when x = -2

The y value when x = -2 is-2

f(-2) = -2

5 0

2 years ago

Convert 8.1616 to a fraction

loris [4]

The answer is 808/99

7 0

3 years ago

Read 2 more answers

Write the product as a mixed number. 5 x 1 1/6

cupoosta [38]

Answer:

9 1/6

Step-by-step explanation:

multiplication of fractions

your 5 = 5/1

hence it will be 5/1 x 11/6 = 55/6

55 divided by 6 will be equal to 9 with one remainder

so your answer will be 9 1/6

3 0

2 years ago