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
That is not enough information to prove its a parallelogram.
The formula for getting the weight is W=mg where m is the mass, g is the acceleration due to gravity (9.806 m/s^2) and W is the weight in Newtons.
W=mg
W=70*9.806=686.42 N
The answer is A. 70xg (where g=acceleration due to gravity)
The values In wxyz are mathematically given as
W=4
y=5
X=0
<h3>What is the values In
XYZ?</h3>
- My one's digit and my tens digit together make up a total of seven.
- My one digit has three more digits than my tens digit does.
Let the equation for the number be: wxyz.
- Digits at tens place = yz
- Diglt at ones place = z
Generally, the equation for is mathematically given as
z+y=7 ......1
y=2+3 .......2
solving further
z+3+z-7
2z 7-3
z=2
Putting the value of z Within the second equation:
y=z+3 y=2+3
y=5
1. The digit in the thousands place of my number is 4, and
2. The digit in the hundreds place is four fewer than the digit in the thousands place.
W=4
X=w-4
x=4-4
X=0
In conclusion, the values In wxyz are
W=4
y=5
X=0
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