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9966 [12]
3 years ago
8

Someone who is good with algebra i equations and inequalities?

Mathematics
1 answer:
guajiro [1.7K]3 years ago
5 0
Somebody? I think you can find someone like that in your school... nice profile picture.
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The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the e
Korolek [52]

Answer:

A sample of 499 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is given by:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

In this question, we have that:

\pi = 0.21

90% confidence level

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 90% confidence level with an error of at most 0.03

We need a sample of n, which is found when M = 0.03. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 1.645\sqrt{\frac{0.21*0.79}{n}}

0.03\sqrt{n} = 1.645\sqrt{0.21*0.79}

\sqrt{n} = \frac{1.645\sqrt{0.21*0.79}}{0.03}

(\sqrt{n})^2 = (\frac{1.645\sqrt{0.21*0.79}}{0.03})^2

n = 498.81

Rounding up

A sample of 499 is needed.

8 0
3 years ago
Normal probability plots indicate that the sample data come from normal populations. Are the requirements to use the​ one-way AN
Mrrafil [7]

Answer:

No it is not satisfied

Step-by-step explanation:

The one-way ANOVA is used to measure whether the difference between the means of two independent groups are statistically significant.

For it to be satisfied, there has to be one independent variable which is categorical and one dependent variable. The dependent variable on its own has to be a continuous variable

The assumptions are:

1. Equal variance between population

2. Independence between observations

3. The random samples have to be gotten from a normal population.

4 0
3 years ago
NEED HELP THIS IS SOOOOOO HARD NEED PROOF <br> WILL GIVE BRAINLIEST AND 5-STAR
Shkiper50 [21]

Answer:

J    1

   --------

    x^2 -x

Step-by-step explanation:

x+1

----------

x^3-x

Factor out an x in the denominator

x+1

----------

x(x^2-1)

We can factor the terms in the parentheses because it is a difference of squares

x+1

----------

x(x-1) (x+1)

Canceling the x+1 terms

1

----------

x(x-1)

Distribute in the denominator

1

--------

x^2 -x

7 0
3 years ago
3<br><img src="https://tex.z-dn.net/?f=%20%7B3%7D%5E%7B7%7D%20%20%3D%20" id="TexFormula1" title=" {3}^{7} = " alt=" {3}^{7} =
DedPeter [7]

Answer:2187


Step-by-step explanation:

3*3*3*3*3*3*3=2187

3 0
3 years ago
you got a new credit card with an interest rate of 18% compounded monthly and no minimum payment. you go on a shopping spree and
just olya [345]
The total amount owed after 6 months will be found using the formula:
FV=P(1+r/100*n)^n
P=principle=$10000
r=rate=18%
n=terms=0.5


FV=10000(1+18/2*100)^0.5
FV=$10,440.30651
Thus the amount owed will be $10440.30651
7 0
3 years ago
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