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sertanlavr [38]
2 years ago
7

Fill in the blanks

Mathematics
2 answers:
Rama09 [41]2 years ago
6 0

Answer: y = 4

Step-by-step explanation:

Slope m = 0

y intercept = 4

equation = y = 0x + 4 or just y = 4

erastova [34]2 years ago
6 0

Answer:

m= 0

y intercept= 4

Equation= Y=0x+4

Step-by-step explanation:

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Use pythagorean theorem:
sin^2 + cos^2 = 1

(-1/3)^2 + cos^2 = 1
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In the journal Knowledge Quest (January/February 2002), education professors at the University of Southern California investigat
Greeley [361]

Answer:

a,b) x represents the general attitude of these students toward recreational reading.

c) The 10th percentile of sample means is 102.51.

d) P(x < 100) = 0.01390

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by

Z = \frac{X - \mu}{\sigma}

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

In this case, we have that:

The mean score for this population of children was 106 points, with a standard deviation of 16.4 points, so \mu = 106, \sigma = 16.4.

a,b) What is x?

x represent the mean recreational reading attitude score for the sample. So x represents the general attitude of these students toward recreational reading.

c) What sample mean would be the cutoff for the bottom 10% of sample means. (You are being asked for the 10th percentile of sample means.)

This is the value of X when Z has a pvalue of 0.10.

Looking at the Z table, that is Z = -1.28.

We are working with the mean of the sample, so we have to find the standard deviation of the sample. That is

s = \frac{\sigma}{\sqrt{n}} = \frac{16.4}{\sqrt{36}} = 2.73

Z = \frac{X - \mu}{\sigma}

-1.28 = \frac{X - 106}{2.73}

X - 106 = -1.28*2.73

X = 102.51

The 10th percentile of sample means is 102.51.

d) Find P(x < 100).

This is the pvalue of Z when X = 100.

Z = \frac{X - \mu}{\sigma}

Z = \frac{100 - 106}{2.73}

Z = -2.20

Z = -2.20 has a pvalue of 0.01390.

So P(x < 100) = 0.01390.

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Answer:

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