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4 years ago

8. A sequence can be generated by using 2n - 11. What are the first four terms in the sequence?

Mathematics

1 answer:

Lapatulllka [165]4 years ago

7 0

Answer:

$\bold{a_1=-9\,,\quad a_2=-7\,,\quad a_2=-5\,,\quad a_4=-3}$

Step-by-step explanation:

$a_n=2n-11\\\\a_1=2(1)-11=2-11=-9\\\\a_2=2(2)-11=4-11=-7\\\\a_3=2(3)-11=6-11=-5\\\\a_4=2(4)-11=8-11=-3$

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In Texas, state law requires that for regular classroom settings in elementary grades K-4, the student-to-teacher ratio can be n

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Answer:

Step-by-step explanation:

A hypothesis test is performed to determine if the proportion of schools needing such a waiver is above 25%

At the null hypothesis, we test that the proportion is of 25%, that is:

$H_0: p = 0.25$

At the alternate hypothesis, we test that the proportion is above 25%, that is:

$H_a: p > 0.25$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

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

0.25 is tested at the null hypothesis:

This means that $\mu = 0.25, \sigma = \sqrt{0.25*0.75}$

Sample of 85 schools, 32 need a waiver:

This means that $n = 85, p = \frac{32}{85} = 0.3765$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.3765 - 0.25}{\frac{\sqrt{0.25*0.75}}{\sqrt{85}}}$

$z = 2.69$

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion above 0.3765, which is 1 subtracted by the p-value of z = 2.69.

Looking at the z-table, z = 2.69 has a p-value of 0.9964

1 - 0.9964 = 0.0036

The p-value of the test is 0.0036 < 0.05, thus we reject the null hypothesis that the proportion is 25%, and accept the alternate hypothesis that the proportion of schools needing such a waiver is above 25%.

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3 years ago

4d-6=-14+5d NEED HELP ASAP

Gennadij [26K]

Answer:

Hewo There!!!

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Isolate the variable by dividing each side by factors that don't contain the variable.

d = 8

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“Darkness cannot drive out darkness: only light can do that. Hate cannot drive out hate: only love can do that.”

― Martin Luther King Jr., A Testament of Hope: The Essential Writings and Speeches

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Think of life as a mytery because well it sort of is! You don't know what may happen may be good or bad but be a little curious and get ready for whatever comes your way!! ~Ashlynn

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I would say so, yes this relation is a function because if graphed it passes the vertical line test.

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2 years ago

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