Answer:
35 ;
32 + v
51.2
Step-by-step explanation:
If each observations in a particular set is increased or decreased by a uniform or fixed number, the mean of the resulting output will also increase by the same amount
Hence,
For 15 observations whose mean is 32
If each observation is increased by 3, then the resulting mean will also increase by 3 ; hence, new mean = 32 + 3 = 35
If each observation is decreased by v ; the resulting mean would also decrease by v ;
32 - v
If each observation is increased by 60% ; the resulting mean will be ;
(1 + 60%) * initial mean
(1 + 0.6) * 32
1.6 * 32 = 51.2
1/4a + 1/3a +8 =22
1st step add like terms:
1/4a +1/3a = 3/12a +4/12a = 7/12a
7/12a +8 =22
2nd step subtract 8 from each side:
7/12a = 14
3rd step divide both sides by 7/12 to get a:
a = 14 / 7/12
a = 24
The length of the diagonal and the shorter base are 17. 24 feet and 18. 7 feet long respectively.
<h3>How to determine the length</h3>
The cosine rule is given as;
c = length of the diagonal
a = base length = 22 feet
b = 7 feet
feet
Using sine rule
Cross multiply
× 
= 
× 
× 
= 
× 
a = 18. 7 feet long
Thus, the length of the diagonal and the shorter base are 17. 24 feet and 18. 7 feet long respectively.
Learn more about isosceles trapezoid here:
brainly.com/question/10187910
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Answer:
398,765 books were sold
Step-by-step explanation:
How to get the answer:
1) Identify the given
32,300 is percentage
8.1 % is rate
base (b) is missing
2) Solve
b= p/r
b= 32,300 / 8.1% or 0.081
b= 398,765
3) Check
398,765 x 8.1% = 32,299.97 or 32,300
The answer is -16 radical 3
