Answer:
The answer is below
Step-by-step explanation:
The question is not complete, but I would show you how to solve it.
Solution:
A circle is the locus of a point such that its distance from a fixed point which is its center is always constant.
The tire has the shape of a circle. Therefore the distance the tire covers if it is pushed around once is the same as the circumference of the tire. The circumference is given by:
Circumference = 2πr; where r is the radius of the tire
Let us assume that the tire has a radius of 7 cm. Hence:
Circumference = 2π(7) = 44 cm
If the tire moves around 5 times, the distance covered = 5 * circumference of tire = 5 * 44 cm = 220 cm
The answer is 175 square inches because you have to multiply 5in•7in to get 35inches per picture and since there are five you have to multiply by 35•5=175
Answer:
-2 - 8i
Step-by-step explanation:
To find the conjugate of a complex number, change the sign of the imaginary part.
The conjugate of -2 + 8i is -2 - 8i.
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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Answer:
2
Step-by-step explanation:
6/3 = 2
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