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olchik [2.2K]
3 years ago
14

The scores of high school seniors on the act college entrance examination in a recent year had mean μ = 20.8 and standard devia

tion Ï = 4.8. the distribution of scores is only roughly normal. (a) what is the approximate probability that a single student randomly chosen from all those taking the test scores 21 or higher? (r
Mathematics
1 answer:
natka813 [3]3 years ago
4 0

To solve this problem, we make use of the z statistic. The formula for z score is:

z = (x – μ) / s

where,

x = is the sample score = 21 or higher

μ = the population mean = 20.8

s = the standard deviation = 4.8

 

Solving for the z score:

z = (21 – 20.8) / 4.8

z = 0.0417

 

Next step to do is to find for the p value using the standard distribution tables at z = 0.04. Since we are looking for the probability of getting 21 or higher, therefore this is a right tailed test, hence

p = 0.516

<span>So there is about 51.6% that a student will get a score of 21 or greater.</span>

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Volume is a three-dimensional scalar quantity. The depth of the YMCA lap pool is 2 meters.

<h3>What is volume?</h3>

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Given that the following details about the YMCA lap pool:

  • The volume of the pool = 1472m³
  • The length of the pool = 36.8m
  • The width of the pool = 20 m

Since the pool is in the space of a right rectangular prism, therefore, the volume of the prism will be the product of length, width and depth. Therefore, the volume of the pool can be written as,

The volume of the pool = Length × width × depth

1472m³ = 36.8m × 20 m × depth of the pool

Depth of the pool = (1472m³ ) / (36.8m × 20m)

                              = 2 meter

Hence, the depth of the YMCA lap pool is 2 meters.

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brainly.com/question/13338592

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1 year ago
This question has four parts. Two football games were played at a stadium on the same day. Part A At the start of the first game
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Step-by-step explanation:

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There are 70 sixth graders at Wilson Middle School. Only 40% of the sixth graders will attend the morning assembly. How many six
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Answer: 42

Step-by-step explanation:

We know that because 40% percent of 70 equals 28. So we do the following-

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Glad to help!

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Find the length of side x in simplest radical form with a rational denominator.
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Answer:

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Refer to the triangle below what is the volume of X. 45° 60°
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Answer:

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