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charle [14.2K]
3 years ago
5

A simple random sample of 64 8th graders at a large suburban middle school indicated that 88% of them are involved with some typ

e of after school activity. find the margin of error associated with a 98% confidence interval that estimates the proportion of them that are involved in an after school activity.
Mathematics
1 answer:
ZanzabumX [31]3 years ago
5 0
The margin of error of a 98% confidence interval is given by


ME=2.33\left(\sqrt{ \frac{p(1-p)}{n} }\right) \\  \\ =2.33\left(\sqrt{\frac{0.88(1-0.88)}{64}}\right) \\  \\ =2.33\left(\frac{0.1056}{64}\right)=2.33(0.0406) \\  \\ =0.0946
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The average reading score on certain tests is given by y = 0.153x + 255.4, where x is the number of years past 1970. In what yea
nirvana33 [79]

Average reading score is given by the expression,

        y = 0.153x + 255.4

Here, x in the number of years past 1970.

To find the year in which the average reading score is 259.378, substitute the value of 'y' in the given expression.

y = 0.153x + 255.4

259.378 = 0.153(x) + 255.4

0.153x = 259.378 - 255.4

0.153x = 3.978

x = \frac{3.978}{0.153}

x = 26

That means given average reading score 259.378 will be 26 years after 1970.

       Therefore, 1996 is the year in which the average reading score will be 259.378.

Learn more,

brainly.com/question/2883790

3 0
2 years ago
A professor pays 25 cents for each blackboard error made in lecture to the student who pointsout the error. In a career ofnyears
marta [7]

Answer:

(a) The probability that <em>Y</em>₂₀ exceeds 1000  is 3.91 × 10⁻⁶.

(b) <em>n</em> = 28.09

Step-by-step explanation:

The random variable <em>Y</em>ₙ is defined as the total numbers of dollars paid in <em>n</em> years.

It is provided that <em>Y</em>ₙ can be approximated by a Gaussian distribution, also known as Normal distribution.

The mean and standard deviation of <em>Y</em>ₙ are:

\mu_{Y_{n}}=40n\\\sigma_{Y_{n}}=\sqrt{100n}

(a)

For <em>n</em> = 20 the mean and standard deviation of <em>Y</em>₂₀ are:

\mu_{Y_{n}}=40n=40\times20=800\\\sigma_{Y_{n}}=\sqrt{100n}=\sqrt{100\times20}=44.72\\

Compute the probability that <em>Y</em>₂₀ exceeds 1000 as follows:

P(Y_{n}>1000)=P(\frac{Y_{n}-\mu_{Y_{n}}}{\sigma_{Y_{n}}}>\frac{1000-800}{44.72})\\=P(Z>  4.47)\\=1-P(Z

**Use a <em>z </em>table for probability.

Thus, the probability that <em>Y</em>₂₀ exceeds 1000  is 3.91 × 10⁻⁶.

(b)

It is provided that P (<em>Y</em>ₙ > 1000) > 0.99.

P(Y_{n}>1000)=0.99\\1-P(Y_{n}

The value of <em>z</em> for which P (Z < z) = 0.01 is 2.33.

Compute the value of <em>n</em> as follows:

z=\frac{Y_{n}-\mu_{Y_{n}}}{\sigma_{Y_{n}}}\\2.33=\frac{1000-40n}{\sqrt{100n}}\\2.33=\frac{100}{\sqrt{n}}-4\sqrt{n}  \\2.33=\frac{100-4n}{\sqrt{n}} \\5.4289=\frac{(100-4n)^{2}}{n}\\5.4289=\frac{10000+16n^{2}-800n}{n}\\5.4289n=10000+16n^{2}-800n\\16n^{2}-805.4289n+10000=0

The last equation is a quadratic equation.

The roots of a quadratic equation are:

n=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}

a = 16

b = -805.4289

c = 10000

On solving the last equation the value of <em>n</em> = 28.09.

8 0
3 years ago
Consider the polynomial equation x(x-3)(x+6)(x-7)=0. Which of the following are zeroes of the equation? Select all that apply.
Marina CMI [18]
If looking for the answer it would be 0, 3, -6, 7
6 0
3 years ago
Publix sells apples and oranges for $0.79 per pound. Marc puts 1.2 pounds of oranges in his cart then adds some apples. The tota
finlep [7]

Answer:

D

Step-by-step explanation:

you have to multiply .79 to both a and 1.2. A is wrong because it's saying we need to multiply .79 to 1.2lb. which is the weight of oranges and the total cost of apples and oranges which is 6.27.

4 0
3 years ago
Help me please mathematics
DanielleElmas [232]

Answer:

C. 253.5

Step-by-step explanation:

A=6a^{2}

a = Edge

A = 6*6.5^{2}

A = 253.5

4 0
3 years ago
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