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%
7 2/3 + 8 5/6 = 16 1/2 ( or 32/2 )
Answer:
I really hope this help! Some may call it front end rounding while others call is front end estimating, even though they mean the same thing. When rounding a place value, you need to look to the number to the right of it. Example: Most often a teacher may as you round the number 452 to the nearest ten’s. That number will than be 450. But why? Well as we look at the number, we know we need to round to the nearest ten. So in our case it would be 52. Our rule to remember when rounding is 5 and higher we round-up. Since we are looking at the portion of the number 52, we go right of the tens place to find the number 2. Since the number 2 is not 5 or higher, we round down making it 50. Don’t forget to finish the problem by adding the hundreds back to the original number. Your answer for this problem is 450.
Step-by-step explanation: I really hope this helps i will post the rest in the comment!
Answer:
0.1732 = 17.32% probability exactly 24 residents own a home.
Step-by-step explanation:
For each resident, there are only two possible outcomes. Either they own a home, or they do not. The probability of a resident owning a home is independent of any other resident. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
78% of residents in Summerville own a home.
This means that 
30 residents are randomly selected:
This means that 
Find the probability exactly 24 residents own a home.
This is P(X = 24).
0.1732 = 17.32% probability exactly 24 residents own a home.
