The probability that a randomly selected individual will have a waiting time between 16 and 44 minutes is 93.72%.
Given mean of 30 minutes and standard deviation of 7.5 minutes.
In a set with mean d and standard deviation d. , the z score is given as:
Z=(X-d)/s.
where d is sample mean and s is standard deviation.
We have to calculate z score and then p value from normal distribution table.
We have been given d=30, s=7.5
p value of Z when X=44 subtracted by the p value of Z when X=16.
When X=44,
Z=(44-30)/7.5
=14/7.5
=1.87
P value=0.9686
When X=16
Z=(16-30)/7.5
=-1.87
P Value=0.0314.
Required probability is =0.9686-0.0314
=0.9372
=93.72%
Hence the probability that a randomly selected individual will have a waiting time between 16 and 44 minutes is 93.72%.
Learn more about z test at brainly.com/question/14453510
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Given:
25.83 - part
52.5% percentage of the part against the whole
To get the whole number, we need to divide the part by its corresponding percentage.
25.83 ÷ 52.50% = 49.20
49.20 is the whole number wherein 25.83 represents 52.50% of it.
Step-by-step explanation:
hope you can understand
The type of numbers, rational and irrational from the numbers Keisha writes are;
a. Rational numbers; -9, 3.0, 2, and 2.42
b. Irrational numbers; √8
<h3>What is the difference between rational and irrational numbers?</h3>
Rational numbers are numbers are numbers that can be expressed as a ratio of two whole numbers P/Q, in which, <em>Q </em>≠ 0
Irrational numbers are those that cannot be expressed as a fraction P/Q
The given numbers are;
-9, √8, 3.0, 2, 2.42
- √8 = 2•√2 (√2 cannot be expressed as a fraction of two whole numbers)
a. The rational numbers are therefore;
b. The irrational number is; √8
Learn more about rational and irrational numbers here:
brainly.com/question/43641
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Step-by-step explanation:
ax=axn to rewrite
3√27x12 as (27x12)1/3
to rewrite
3√(3x^4)3
Pull terms out from under the radical, assuming real numbers.
3X^4