Answer:
The standard deviation (σ) = 0.05
Step-by-step explanation:
The question is to find the standard deviation.
STEEP 1: FIND THE MEAN
(10+9.9) ÷ 2 = 9.95
STEP 2: SQUARE THE DIFFERENCE BETWEEN SPRINT TIME AND MEAN
10-9.95= 0.05
0.05^2 = 0.0025
9.9 - 9.95= -0.0025
-0.0025^2 = 0.0025
STEP 3: FIND THE VARIANCE
0.0025+0.0025= 0.005
0.005/2= 0.0025
STEP 4: FIND THE STANDARD DEVIATION (σ )
√variance
√0.0025 = 0.05
Therefore
σ = 0.05.
From the standard deviation, the percentage probability of the higher value to occurs is
0.05×100= 5%
That means Doug has 95%
And Bob has 5%
Answer:
boys = 250
girls = 150
Step-by-step explanation:
5g = 3b eq. 1
g + b = 400 eq. 2
g = girls
b = boys
From the eq. 2
g = 400 - b
Replacing this last eq. on eq. 1:
5(400-b) = 3b
5*400 + 5*-b = 3b
2000 - 5b = 3b
2000 = 3b + 5b
2000 = 8b
2000/8 = b
250 = b
From eq. 2
g + 250 = 400
g = 400 - 250
g = 150
Check:
from eq. 1
5*150 = 3*250 = 750
Answer:
![$\[x^2 + 22x + 121\]$](https://tex.z-dn.net/?f=%24%5C%5Bx%5E2%20%2B%2022x%20%2B%20121%5C%5D%24)
Step-by-step explanation:
Given
![$\[x^2 + 22x + \underline{~~~~}.\]$](https://tex.z-dn.net/?f=%24%5C%5Bx%5E2%20%2B%2022x%20%2B%20%5Cunderline%7B~~~~%7D.%5C%5D%24)
Required
Fill in the gap
Represent the blank with k
![$\[x^2 + 22x + k\]$](https://tex.z-dn.net/?f=%24%5C%5Bx%5E2%20%2B%2022x%20%2B%20k%5C%5D%24)
Solving for k...
To do this, we start by getting the coefficient of x
Coefficient of x = 22
<em />
Divide the coefficient by 2
Take the square of this result, to give k
Substitute 121 for k
The expression can be factorized as follows;
<em>Hence, the quadratic expression is </em><em></em>
Answer:
False
Step-by-step explanation:
The left side 2 does not equal to the right side 18
, which means that the given statement is false.
Answer:
Step-by-step explanation:
it has 4 roots as its degree is 4.
