Answer:
compare the distance between the lines at one point to the distance between the lines at another point
Step-by-step explanation:
You can construct perpendiculars at different points and compare the distance between the lines at those perpendiculars. The distance between parallel lines is the same everywhere.
Answer:
29. 15.87%
30. 4.75%
31. 0.62%
32. probability cannot be calculated (0%)
Step-by-step explanation:
We have that the formula of the normal distribution is:
z = (x - m) / sd
where x is the value we are going to evaluate, m is the mean and sd is the standard deviation
x = 16 and m = 16.5
when sd = 0.5
z = (16 - 16.5) /0.5
z = -1
Now when looking in the z table, we have that the corresponding value is 0.1587, that is, the probability is 15.87%
when sd = 0.3
z = (16 - 16.5) /0.3
z = -1.67
Now when looking in the z table, we have that the corresponding value is 0.0475, that is, the probability is 4.75%
when sd = 0.2
z = (16 - 16.5) /0.2
z = -2.5
Now when looking in the z table, we have that the corresponding value is 0.0062, that is, the probability is 0.62%
when sd = 0
z = (16 - 16.5) / 0
z = infinity
probability cannot be calculated
Answer:
Step-by-step explanation:
instead of (2x - 60 ) there should be (60 - 2x) because since they are parallel lines corresponding sides must be equal . It is contradictory because the size of the corresponding angles is different.
Note : Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal).
Answer:
1024
Step-by-step explanation:
16x2=32
32x2=64
64x2=128
128x2=256
256x2=512
512x2=1024
x= previous term multiplied by 2
hopefully this helps :)
Answer:
The two numbers are 37.5 and 25.5
Step-by-step explanation:
Comment
Let the two numbers be x and y
Equations
x + y = 63
x - y = 12
Solution
Add the two equations. The ys cancel out.
2x = 75 Divide by 2
2x/2 = 75/3 Do the division
x = 37.5
Now use one of the given equations to solve for y
x + y = 63
x = 37.5
37.5 + y = 63 Subtract 37.5 from both sides
37.5-37.5+y= 63 - 37.5 Collect the like terms on both sides
y = 25.5
Check
x - y =? 12
37.5-25.5 =? 12
12 = 12