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:
<h2>M(-a, b)</h2>
Step-by-step explanation:
Use the formula of a midpoint:
We have the points P(-2a, 0) and Q(0, 2b). Substitute:
Answer:
- 3/8 in/ft
- 1/32 . . . (pure number, no units)
Step-by-step explanation:
The ratio can be expressed directly as ...
... (6 in)/(16 ft) = 3/8 in/ft
This can be read or used in different ways:
Or, the units can be made compatible and the ratio expressed as a pure number.
... (1/2 ft)/(16 ft) = (1/32) ft/ft = 1/32
This means whatever measurement is made on the model, the actual vehicle measurement is 32 times that.
