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
The equation that models the sequence is: 6+6 each time.
Use the general form:-
(x - a)^2 + (y - b)^2 = r^2 where (a, b) is the centre and r = radius
Here the radius = 1/2 * 6 = 3 so r^2 = 9 and we have the equation:-
(x + 4)^2 + (y - 2)^2 = 9 (answer)
Answer:
£13.5.
Step-by-step explanation:
Let the share of Brendon, Asha and Julie is 3x, 2x and 6x respectively.
The total amount of money that Asha and Julie recieve is £36
i.e.
2x+6x = 36
8x = 36
x = (36/8)
Amount recieved by Brendon,

So, the amount of money that brendon receives is £13.5.
Answer:
where is the question at
Step-by-step explanation: