The equations which represents the minimum and maximum scores of the students is; x = 87 ± 1.8.
<h3>Which equations represents the minimum and maximum possible scores of each student?</h3>
According to the task content, the
Average score of the students in the science class is; 87 points
All students are within 1.8 points of the average,
it therefore follows from the task content that the
minimum score is;
= 87 -1.8
= 85.2
maximum score is;
= 87+1.8
= 88.8 points.
Read more on average and deviation;
brainly.com/question/285157
#SPJ1
Answer: $448.48
Step-by-step explanation:
The amount Hunter will pay in total is;
= 109.68 * 12 months * 3 years
= $3,948.48
Interest he will pay = Amount paid - Loan amount
= 3,948.48 - 3,500
= $448.48
Answer:
Step-by-step explanation:
First, subtract by 7 both sides of equation.
Solve.
Then, divide by 12 both sides of equation.
Solve to find the answer.
, which is our answer.
(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%
Answer:
110 feet/sec
Step-by-step explanation:
75 miles x 5280 feet
= 396000
396000/60 min
=6600
6600/60 secs
=110 feet/second
