<u>Given</u>:
Let the random variable x is normally distributed with mean
and 
We need to determine the probability of 
<u>Probability of </u>
<u>:</u>
The formula to determine the value of
is given by

Thus, we have;

Simplifying, we get;


Using the normal distribution table, the value of -2 is given by 0.0228

Thus, the value of
is 0.0228
t=45min
d=4km
45min/60min = 0.75 hours
v=d/t
v=4km/0.75hours
v=5.33km/hour. So the answer is B. 45 minutes.
Answer:
x = 8, y = 3
Step-by-step explanation:
Equating corresponding x and y coordinates , then
- y = - x + 5 ( multiply through by - 1 )
y = x - 5 → (1)
2x - 5y = 1 → (2)
Substitute y = x - 5 into (2)
2x - 5(x - 5) = 1 ← distribute and simplify left side
2x - 5x + 25 = 1
- 3x + 25 = 1 ( subtract 25 from both sides )
- 3x = - 24 ( divide both sides by - 3 )
x = 8
Substitute x = 8 into (1) for corresponding value of y
y = 8 - 5 = 3
Answer:
y = -9.3
if they are complementary it is 45 degrees
if they are supplementary it is 90 degrees
Step-by-step explanation:
-12.7 = y -3.4
-12.7 + 3.4 = y -3.4 + 3.4
-9.3 = y
complementary angles equal to 90 degrees
supplementary angles equal to 180 degrees
vertical angles have same degrees
so 90/2= 45
180/2 =90