Answer:
Step-by-step explanation:
Since the distance travelled on 1 gallon of fuel is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = the distance travelled.
µ = mean distance
σ = standard deviation
From the information given,
µ = 50 miles
σ = 8 miles
A) P(x > 53) = 1 - P(x ≤ 53)
For x = 53,
z = (53 - 50)/8 = 0.38
Looking at the normal distribution table, the probability value corresponding to the z score is 0.648
B) P(x < 42)
For x = 42
z = (42 - 50)/8 = - 1
Looking at the normal distribution table, the probability value corresponding to the z score is 0.1587
C) P(44 ≤ x ≤ 53)
For x = 44
z = (44 - 50)/8 = - 0.75
Looking at the normal distribution table, the probability value corresponding to the z score is 0.2266
For x = 55,
z = (55 - 50)/8 = 0.63
Looking at the normal distribution table, the probability value corresponding to the z score is 0.7357
Therefore,
P(44 ≤ x ≤ 53) = 0.7357 - 0.2266 = 0.5091
Answer:
g = 55
f = 55
h = 55
Step-by-step explanation:
g = 180 - 25 = 55
this is because angle on a straight line is equal to 180 degrees
f = 55
alternate angles are equal. f alternates g
h = 55
opposite angels are equal
Answer:
140 lb.
Step-by-step explanation:
Answer:
The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate.
The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.
Hope this helps!
Step-by-step explanation:
Answer:
You use the formula (y to the second power minus y to the first power minus the same formula with the two different points
Step-by-step explanation:
