The distance from his home to his work place is 118.125 miles
<h3>How to find the distance from his home to his work place?</h3>
He drove from home to work at an average speed of 45 mph. Therefore,
speed = 45 mph
let
time = x
speed = distance / time
distance = 45x
His return trip home took 45 minutes longer because he could only drive at 35 mph. Therefore,
45 minutes = 0.75 hours
distance = 35(x + 0.75)
distance = 35x + 26.25
Therefore,
45x = 35x + 26.25
45x - 35x = 26.25
10x = 26.25
x = 26.25 / 10
x = 2.625
Therefore,
distance = 45(2.625) = 118.125 miles
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Answer: 77% of the apples will contain at least 2.36 ounces of juice.
Step-by-step explanation:
Since the amount of juice squeezed from each of these apples is approximately normally distributed,
we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = the amount of juice squeezed in ounces.
µ = mean
σ = standard deviation
From the information given,
µ = 2.25 ounces
σ = 0.15 ounce
Looking at the normal distribution table, the z score corresponding 77%(77/100 = 0.77) is 0.74
Therefore, the number of ounces of juice, x will be
0.74 = (x - 2.25)/0.15
Cross multiplying, it becomes
x - 2.25 = 0.74 × 0.15
x - 2.25 = 0.111
x = 0.111 + 2.25
x = 2.36
Answer:
because M is the centroid of the triangle
=> PM = 2AM
<=> AM = PM/2 = 10 /2 = 5
=> AM = 5
Answer:
I guess that's the answer 11x-y
The sum of two irrational numbers, in some cases Will be irrational. However, if the rational parts of the numbers have a 0 sum (cancel each other out), the sum will be rational.
