(a) Average time to get to school
Average time (minutes) = Summation of the two means = mean time to walk to bus stop + mean time for the bust to get to school = 8+20 = 28 minutes
(b) Standard deviation of the whole trip to school
Standard deviation for the whole trip = Sqrt (Summation of variances)
Variance = Standard deviation ^2
Therefore,
Standard deviation for the whole trip = Sqrt (2^2+4^2) = Sqrt (20) = 4.47 minutes
(c) Probability that it will take more than 30 minutes to get to school
P(x>30) = 1-P(x=30)
Z(x=30) = (mean-30)/SD = (28-30)/4.47 ≈ -0.45
Now, P(x=30) = P(Z=-0.45) = 0.3264
Therefore,
P(X>30) = 1-P(X=30) = 1-0.3264 = 0.6736 = 67.36%
With actual average time to walk to the bus stop being 10 minutes;
(d) Average time to get to school
Actual average time to get to school = 10+20 = 30 minutes
(e) Standard deviation to get to school
Actual standard deviation = Previous standard deviation = 4.47 minutes. This is due to the fact that there are no changes with individual standard deviations.
(f) Probability that it will take more than 30 minutes to get to school
Z(x=30) = (mean - 30)/Sd = (30-30)/4.47 = 0/4.47 = 0
From Z table, P(x=30) = 0.5
And therefore, P(x>30) = 1- P(X=30) = 1- P(Z=0.0) = 1-0.5 = 0.5 = 50%
Step-by-step explanation:
Please refer to the attachment
Answer:
1 1/4
Step-by-step explanation:
For the strawberries, we will have to multiply 3 by 1/4 to get the total amount of strawberries used.
1/4 * 3 = 3/4
For the blueberries, we will have to multiply 2 by 1/4 to get the total amount of blueberries used.
1/4 * 2 = 2/4
Simplify that to get 1/2
Now we need to add 3/4 and 1/2
3/4 + 1/2 = 5/4
Simplify that and we get our answer;
1 1/4
Answer:
yeah it is an expression
Explanation:
An expression may refer to any of the following:
A combination of letters, numbers, or symbols used to represent a value of a variable. ..
The answer is B ,, if it's cut into 4 slices so it's equal which you would divide 100 by 4 = 25 :)
