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:
Maria did her job properly. Both gears are perpendicular.
Step-by-step explanation:
Recall that given vectors a and b, they are perpendicular if and only if
=0. If
. Then
.
IN our case a=(5,-1,2) and b) (1,-3,-4). So,

So both gears are perpendicular.
First five multiples of 8 are 8, 16, 24, 32, 40
First five multiples of 9 are 9, 18, 27, 36, 45
Hope that helps :)