Answer:
Step-by-step explanation:
The standard deviation is the square root of the variance, and the variance is found by using the mean. So we will do that first. I will use the population variance as opposed to the sample variance since our set of numbers is small.
The mean: 8 + 12 + 15 + 17 + 18 = 70 and divide that by 5 to get
and use this to find the variance in the formula:
it is a bit difficult to enter that formula in correctly, but here's how it works mathematically:
Squaring this ensures us that we don't end up with zero, which would be useless.
so
which means that the standard deviation is
s = 3.633
(If you do it with n-1 = 4 in the denominator of the variance, you get a standard deviation of 4.062)
4/10 = 40/100
40/100 + 55/100 = 95/100
95/100 is your answer
simplest form: 19/20
hope this helps
The third side of the triangle is 26.
Explanation:
Given:
Two sides of the isosceles triangle are 26 and 10.
To Find:
The possible value of the third side
Solution:
Definition of Isosceles triangle:
An isosceles triangle is a triangle with (at least) two equal sides. Isosceles triangle has both two equal sides and two equal angles.
We also know the property of the triangle that
Sum of two sides of triangle > third side of the triangle
Case1. When third side is 10
Thee third side can’t be equal to 10 because it does not follow the rule of triangle
10+10>26………which is not possible
So the third side of the isosceles triangle is 26.
You can replace the h and w with 6 and 3 in the expression. Then the expression is 12*6+30*3=162 dollars. So the amount paid to this employee is 162 dollars.
Hey there!
Since we don't have values for b, d, and r, we can't get a specific number for the value of a, if that makes sense. It'll be represented by these variables.
To solve, we need to make sure the equation looks like a = ? .
Subtract b from each side of the equation.
<u>a = dr - b </u>
Now we have solved for a.
Hope this helps!
