Answer:
0.75 Miles
Step-by-step explanation:
To find the answer we have to find the difference in the distance the train and car travelled
65/60 is 1.083333 which is miles per minute then multiplied by 3 is 3.25 mile gone in 3 minutes
For the train it is 50/60 which is 0.833333 and the times 3 is 2.5 miles in three minutes
3.25 miles minus 2.5 miles is 0.75 miles so that is how long the train is
Answer:
1.6 miles
Step-by-step explanation:
60/12=5
which will mean 1/5=.2
.2x8=1.6 miles
Answer:
x ≤ 
Step-by-step explanation:
Given
- 2 ≤ 
Multiply through by 6 to clear the fractions
2(x - 1) - 12 ≤ 5 - 2x ← distribute and simplify left side
2x - 2 - 12 ≤ 5 - 2x
2x - 14 ≤ 5 - 2x ( add 2x to both sides )
4x - 14 ≤ 5 ( add 14 to both sides )
4x ≤ 19 ( divide both sides by 4 )
x ≤
Answer:
a) z* = -1.97
b) z* = -2.33
c) z* = -1.65
d) z* = 2.04
e) z* = 2.33
f) z* = -1.25.
Step-by-step explanation:
Z-score:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
a. P(z < z*) = 0.0244
We have to look at the ztable, and find z which has a pvalue of 0.0244. So it is z* = -1.97
b. P(z < z*) = 0.0098
We have to look at the ztable, and find z which has a pvalue of 0.0098. So it is z* = -2.33
c. P(z < z*) = 0.0496
We have to look at the ztable, and find z which has a pvalue of 0.0496. So it is z* = -1.65
d. P(z > z*) = 0.0204
We have to look at the ztable, and find z which has a pvalue of 1 - 0.0204 = 0.9796. So z* = 2.04
e. P(z > z*) = 0.0098
We have to look at the ztable, and find z which has a pvalue of 1 - 0.0098 = 0.9902. So z* = 2.33
(f) P(z > z* or z < -z*) = 0.201
This is z which has a pvalue of 0.201/2 = 0.1055. So it is z* = -1.25.
