Answer:
To figure out the variance, divide the sum, 82.5, by N-1, which is the sample size (in this case 10) minus 1. The result is a variance of 82.5/9 = 9.17. Standard deviation is the square root of the variance so that the standard deviation would be about 3.03.
hope this helps!
Answer:
AB║CD and AD║BC
Step-by-step explanation:
By the property of a parallelogram,
" Consecutive angles of a parallelogram are supplementary"
In the figure attached,
∠DCB and ∠CDA are the supplementary angles. Therefore ABCD will be a parallelogram.
[Given: m(∠DCB) + m(∠CDA) = 180°]
And the pair of opposite sides of the parallelogram ABCD will be parallel.
AD║BC and AB║CD
12 and 18
10 and 20
8 and 14
Answer:
Find out the numbers .
To prove
Let us assume that one number be x.
Let us assume that second number be y.
As given
The sum of two numbers is 30.
Than the equation becomes
x + y = 30
Their difference is 6.
x - y = 6
Thus two equation are .
x + y = 30 and x - y = 6
Subtracted x - y = 6 from x + y = 30
x - x + y - (-y) = 30 - 6
y + y = 24
2y = 24
y = 12
Put in the x - y = 6
x - 12 = 6
x = 6 + 12
x = 18
Therefore the two numbers are 12 and 18 .
8v+w+7-8v+2w
4c^2 +6c-3c^2-2c-3
Z^3+5z+3z^2+1-4-2z^2
Answer:
-5
Step-by-step explanation:
To find the number, let's break down the problem step by step.
First, let's assign a variable to represent the unknown number. Let's call it "x."
According to the problem, "four less than the sum of a number and 7" can be written as "(x + 7) - 4."
Next, the problem states that this expression is "eight more than twice that number." So, we can write this as "2x + 8."
Now, we can set up an equation based on the information given:
(x + 7) - 4 = 2x + 8
Let's solve this equation to find the value of x.
First, let's simplify the left side of the equation:
x + 7 - 4 = 2x + 8
x + 3 = 2x + 8
Next, let's isolate the variable by subtracting x from both sides:
x - x + 3 = 2x - x + 8
3 = x + 8
To isolate x, we need to get rid of the 8 by subtracting it from both sides:
3 - 8 = x + 8 - 8
-5 = x
Therefore, the number is -5.
To check our answer, let's substitute -5 into the original equation and see if it holds true:
( -5 + 7) - 4 = 2(-5) + 8
2 - 4 = -10 + 8
-2 = -2
The equation holds true, which confirms that the number is indeed -5.