Solutions
29

/ 18 Radians = 29 x <span>

/ 18
Replace </span><span>

with 180
Now we have
29 x 180 / 18
29 x 180 = 5220
5220 / 18
= 290</span>°
Answer:
25%
Step-by-step explanation:
Based on the boxplot given ;
The boxplot can be summarized as follows :
Lower quartile, Q1 = 50 (starting point of the box)
Median (Q2), 50th percentile = 70 (vertical line in between the box)
The upper quartile marks the 75th percentile, Q3 = 81 (end point of the box)
The total distribution is 100% and hence, the percentage above the score 81 will be :
100% - 75% = 25%
Answer:
14.9%
Step-by-step explanation:
Using the compound interest formula;
A = P(1+r)^t
A is the amount = $2000
P is the principal = $1000
r is the rate
T is the time = 5 years
Substitute the given values into the formula;
2000 = 1000(1+r)^5
2000/1000 = (1+r)^5
2 = (1+r)^5
= 1 + r
r = 1.149 - 1
r = 0.149%
Hence the required rate is 14.9%
Answer: 0.55567
Step-by-step explanation:
Given : A certain brand of refrigerator has a useful life that is normally distributed with mean 10 years and standard deviation 3 years. The useful lives of these refrigerators are independent.
i.e.

Let
and
are two randomly selected refrigerator's life whose sum will exceed third selected refrigerator
.
So that, 
Mean 
Standard deviation =


Z-score : ![z=\dfrac{X-E[x]}{\sqrt{Var[x]}}=\dfrac{0-1}{7.0156315694}\approx-0.14](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7BX-E%5Bx%5D%7D%7B%5Csqrt%7BVar%5Bx%5D%7D%7D%3D%5Cdfrac%7B0-1%7D%7B7.0156315694%7D%5Capprox-0.14)
Now , The probability that the total useful life of two(i..e n=2) randomly selected refrigerators will exceed 1.9 times the useful life of a third randomly selected refrigerator would be :-

Hence, the required probability is 0.55567.