Answer: the speed of the wind is 1.5 mph
Step-by-step explanation:
Let x represent the speed of the wind.
Time = distance/speed
Craig can ride his bike at an average rate of 14 miles per hour in calm air. Traveling with the wind, his total speed would be (14 + x) mph
Time taken to travel 62 miles with the wind would be
62/(14 + x)
In the same amount of time it took him to ride 50 miles against the wind. His total speed would be
(14 - x) mph. Time taken to travel 50 miles is
50/(14 - x)
Since the time is the same, then
62/(14 + x) = 50/(14 - x)
Cross multiplying, it becomes
62(14 - x) = 50(14 + x)
868 - 62x = 700 + 50x
- 62x - 50x = 700 - 868
- 112x = - 168
x = - 168/-112
x = 1.5
Answer:
480
Step-by-step explanation:
So we have the expression:
And we want to evaluate it for z=5 and c=2:
So:
Multiply within the parentheses:
Subtract within the parentheses:
Multiply:
Answer:
Step-by-step explanation:
Given : Giving a test to a group of students, the grades and gender are summarized below
A B C Total
Male 8 10 7 25
Female 6 13 14 33
Total 14 23 21 58
Total students = 58
Total number of students got A = 14
P(students got A)
Total number of students got A and not female = 8
P( students got A and not female ) =
Now , By conditional probability ,
P(NOT a female | got a "A" ) =
∴ The probability that the student was NOT a female that got a "A" is .
Answer:
1=corresponding
2=straight line angles
3=vertically opposite angles
4=co-interior
5=corresponding
Step-by-step explanation:
there are many types of angles:
1. <u>corresponding</u>
- same side of transversal
- angles are equal
- include:
ei, fj, gk, hl
2.<u>alternating</u>
- inside parallel lines
- opposite sides of transversal
- angles are equal
- include:
gj, hi
3.<u>co-interior</u>
- same side of transversal
- add up to 180 degrees
- inside the parallel lines
-include:
gi, hj
4.<u>vertically opposite</u>
-opposite sides of the intersection
-do NOT lie on a straight line
-opposite angles are equal
- include:
eh, fg, jk, il
5.<u>straight line angles</u>
-lie on a straight line
- add up to 180 degrees
- also called supplementary angles
-include:
ef, fh, hg, eg, ij, jl, lk, ik