Answer:
The length of rectangle is 7 cm and width is 2 cm.
Step-by-step explanation:
Given that:
Area of rectangle = 14 square centimeters
The length of a rectangle is 3 centimeters less than five times its width.
Let,
L be the length and W be the width of the rectangle.
L = 5W - 3
Area of rectangle = Length * Width
14 = (5W-3)*W

Factorizing the equation;

Either,
5W+7 = 0
5W = -7
W = -7/5
Or,
W-2 = 0
W=2
As width of rectangle cannot be negative, therefore,
Width = 2 centimeters
Length = 5(2) -3 = 10-3 = 7
Hence,
The length of rectangle is 7 cm and width is 2 cm.
Answer: 0.4302
Step-by-step explanation:
Given : Mean : 
Standard deviation : 
Sample size : 
Also, these distances are normally distributed.
Then , the formula to calculate the z-score is given by :-

For x=32.5

For x=40.5

The p-value = 

Hence, the required probability :-0.4302
The number of voters that each volunteer call is 18.
<h3>What is voting?</h3>
It is important to note that voting is done to choose a particular person during elections.
In this case, the candidate for mayor is calling 882 registered voters to remind them about the upcoming election and the candidate has 49 volunteers.
Since they gave same number of voters, this will be:
= Number of voters / Number of volunteers
= 882 / 49
= 18
Learn more about vote on:
brainly.com/question/1330417
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Answer:
b=42
a=81
Step-by-step explanation:



As we can see in the given figure, Angles A and B are equal. therefore their opposite sides will be equal to one another, that is ~
now, let's plug the values of AB and BC in terms of x and equate them to find the value of x ~
now , let's find the measure of side AC ~
that is ~