9514 1404 393
Answer:
- 2 6/11 days
- 1 2/3 hours
Step-by-step explanation:
1. Add the rates in terms of houses per day.
1/4 + 1/7 = (7+4)/28 = 11/28
Then the time required in terms of days per house is the reciprocal of this:
28/11 = 2 6/11 . . . . days to paint a house, working together
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2. Each hour, the vehicles separate by 55 -40 = 15 miles. Then the time required for a separation of 25 miles is ...
time = distance/speed = (25 mi)/(15 mi/h_ = 5/3 h = 1 2/3 h
The vehicles will be separated by 25 miles after 1 2/3 hours.
Let, the cost of 1 piece of fudge = x
Cost of a gum = y
System of equations: 5x + 3y = 5.70
2x + 10y = 3.60
Multiply 1st equation by 2, and second by 5,
New equations: 10x + 6y = 11.40
10x + 50y = 18
Now, subtract 1st from 2nd,
44y = 6.60
y = 6.60 / 44
y = 0.15
Substitute it in second equation,
2x + 10(0.15) = 3.60
2x = 3.60 - 1.5
x = 2.10 / 2
x = 1.05
In short, Cost of a Fudge = $1.05 & Cost of a gum = $0.15
Hope this helps!
45 is the whole number.
9 is the tenth number
7 is the hundredth number.
2 is the thousandth number.
So, its only one hundredth number in this problem
P(X<=x) = 1 + 5.486 = 6.486
The z-score of the information given is,
z = (x - µ )/ σ
Where,
µ = mean
σ = standard deviation
From the information given,
x = 3.71
µ = 86
σ = √225 = 15
hence,
z = (3.71 - 86)/15 = -5.486
thus,
P(X<=x) = 1 + 5.486 = 6.486
hence , P(X<=x) = 1 + 5.486 = 6.486
Learn more about variance here brainly.com/question/9304306
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