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atroni [7]
3 years ago
6

2 WILL MARK BRAINLIEST!!! HELP!!​

Mathematics
1 answer:
elena55 [62]3 years ago
6 0

Answer: A =19/2

Step-by-step explanation: Exact form  a=19/2 decimal form a= 9.5 , mixed number a= 9 1/2

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IQ scores are known to be normally distributed. The mean IQ score is 100 and the standard deviation is 15. What percent of the p
Masja [62]

Answer:

47.06% of the population has an IQ between 85 and 105.

Step-by-step explanation:

Problems of normally distributed samples are 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}

The Z-score measures how many standard deviations the measure is from the mean. 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 get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 100, \sigma = 15

What percent of the population has an IQ between 85 and 105?

This is the pvalue of Z when X = 105 subtracted by the pvalue of Z when X = 85. So

X = 105

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

Z = \frac{105 - 100}{15}

Z = 0.33

Z = 0.33 has a pvalue of 0.6293.

X = 85

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

Z = \frac{85 - 100}{15}

Z = -1

Z = -1 has a pvalue of 0.1587

So 0.6293 - 0.1587 = 0.4706 = 47.06% of the population has an IQ between 85 and 105.

5 0
3 years ago
It is believed that students who begin studying for final exams a week before the test score differently than students who wait
olga55 [171]

Answer:

H0 : μ1 = μ2

H0 : μ1 < μ2

Step-by-step explanation:

Given :

Early studiers, group 1, mean μ1

Late studiers, group 2 ; mean, μ2

To test the claim that students who study earlier have an average score that is less than the average score for students

The null hypothesis ; there is no difference in average score

H0 : μ1 = μ2

Alternative hypothesis is early studiers means is less than average score of late studiers

H0 : μ1 < μ2

7 0
4 years ago
3 is subtracted from the square of a number.
frozen [14]

Answer:

x^{2}-3

Step-by-step explanation:

Three subtracted by a square of a number. So, let's say the number is x. The square of it is x^{2}. So x^{2}-3 is three subtracted by a square of a number.

7 0
3 years ago
Each house a carpenter build needs 7 sinks. If he bought 20 sinks, how many houses would that cover?
zimovet [89]
3 houses because 7=1 14=2 21=3
4 0
4 years ago
Read 2 more answers
John took a 5 ½ mile walk to his friend’s house. He left at 11 a.m. and arrived at his friend’s house at 1 p.m. What was John’s
olganol [36]

Answer:

5.5 miles over 2 hours--> 5.5/2= 2.75 miles per hour was his average walking speed. 5.5 miles over 2.5 hours --> 5.5/2.5= 2.2 miles per hour on the return trip meaning that his average speed was (2.75-2.2= 0.55) 0.55 miles per hour lower on the return trip

Step-by-step explanation:

I hope this helps you :)

<em><u>-KeairaDickson</u></em>

7 0
3 years ago
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