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V125BC [204]
3 years ago
6

What is the range of the following numbers? 12, 20, 18, 25.6​

Mathematics
1 answer:
RideAnS [48]3 years ago
8 0

Answer: 13.6

Step-by-step explanation:

subtract the lowest number from the highest number to find the range. in this case, the data range is 25.6−12=13.6

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. Exam scores for a large introductory statistics class follow an approximate normal distribution with an average score of 56 an
Andru [333]

Answer:

0.1% probability that the average score of a random sample of 20 students exceeds 59.5.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}

Normal probability distribution

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}

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 = 56, \sigma = 5, n = 20, s = \frac{5}{\sqrt{20}} = 1.12

What is the probability that the average score of a random sample of 20 students exceeds 59.5?

This is 1 subtracted by the pvalue of Z when X = 59.5. So

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

Z = \frac{59.5 - 56}{1.12}

Z = 3.1

Z = 3.1 has a pvalue of 0.9990.

So there is a 1-0.9990 = 0.001 = 0.1% probability that the average score of a random sample of 20 students exceeds 59.5.

3 0
3 years ago
On Tuesday a local ice cream truck sold a combined total of 492 ice cream sandwiches and sprites. the number of sandwiches sold
DiKsa [7]
Answer: 164

Reasoning: you would need to divide 492 by 3 to get the number of sprites seeing that the sandwiches are 3 times as much as the amount of sprites sold.

I hope that helped
7 0
3 years ago
HELP
ExtremeBDS [4]

Answer:B,C,A,B

Step-by-step explanation

4 0
3 years ago
jane is twice as old as Barbara. Michael is 7 years older than Jane. If Michael is 21, which equation could be used to find Barb
dedylja [7]

Step-by-step explanation:

J = 2b

M = J + 7

M = 21

J = 21 - 7

J = 14

B = 7

<em>Equation:</em>

If M is J+7, so then J = 21-7. J is 2*b, so 2*b = 21-7. Then you subtract and divide.

3 0
2 years ago
Find the area and perimeter of the shaded region. Stuck on this one can someone help me
alekssr [168]

Answer:

perimeter-

perimeter outer rectangle = 2 (l+b)

=2×8+9

= 2×17

2×17 =34 cm sq.

perimeter of inner rectangle = 2 (l+b)

= 2×5+3

=2× 8

= 16 cm sq.

perimeter of shaded portion= 34 - 16

= 18 cm sq.

area-

<em>area</em><em> </em><em>of</em><em> </em><em> </em><em>inner</em><em> </em> rectangle =l×b

l×b = 3×5

3×5=15

15 cm sq.

area of outer rectangle =l×b

l×b= 9×8

9×8= 72

72 cm sq.

area of shaded portion = 72 -15 =57 cm sq.

hey there! In second method i have done first area of inner rectangle but you have to do first area of outer rectangle...

hope it helps you....

3 0
3 years ago
Read 2 more answers
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