Answer:
Width = 44 yards
Length = 171 yards
Step-by-step explanation:
Given:
<em>Perimeter of the rectangular field = 430 yards.</em>
Let:
<em>The length of the field be L</em>
<em>The width of the field be W.</em>
From the question:
<em>The length of the field is 5yards less than quadruple the width. This implies that;</em>
L = 4W - 5
But.
Perimeter (P) of a rectangle is given by:
P = 2(L + W) ---------------(i)
Substitute the values of P = 430, L = 4W - 5 and W into equation (i) as follows;
430 = 2(4W - 5 + W)
430 = 2(5W - 5)
430 = 10W - 10
10W = 430 + 10
10W = 440
Divide both sides by 10
W = 44
Therefore, the width of the field is 44 yards.
Remember that,
L = 4W - 5
[Now substitute W = 44]
L = 4(44) - 5
L = 176 - 5
L = 171
Therefore, the length of the field is 171 yards
Answer:
The prime number is 61
Step-by-step explanation:
Hope this helps.
Good luck
Nadia needs 3 to fill up the tank. Because volume is base x width x height, just multiply the dimensions to find the volume.
Answer:
The distribution of average life time is approximately normallyl distributed with mean 20 hours and standard deviation of 0.4743 hours
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem

The distribution of average life time is approximately normallyl distributed with mean 20 hours and standard deviation of 0.4743 hours