Answer:
28.8
Step-by-step explanation:
You are looking for the number between 108.3 and 79.5, so you have to do this 108.3-79.5
<u>Answer</u>
First diagram shows 1 and 2 vertical angles
<u>Explanation</u>
From the all four diagrams,we get the diagram first shows the vertically opposite angles.
angle 1 and angle 2 are vertically opposite angles
vertically opposite angles are equal in measurements. when two lines are intersect each other form four angles, out of this four angles two pairs of vertically opposite angles are there.
All other figures angle 1 and 2 shows adjacent angles.
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➷ final = original x multiplier
final = 48 x 0.9
final = 43.2
Tony paid $43.20
Subtract the two values:
43.2 - 42.95 = 0.25
Therefore, the correct option would be C. Keith paid $0.25 less than Tony paid
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Answer:
Jackie sold 12 cars.
Step-by-step explanation:
If we call the number of cars Oscar sold O, and the number of cars Jackie sold J, we can say the following:
O = J + 6
As Oscar sold 6 cars more than Jackie.
Together, they sold 30 cars.
O + J = 30
Since we know that:
O = J + 6
... we can put this into our previous equation.
O + J = 30
(J + 6) + J = 30
J + J + 6 = 30
2 * J + 6 = 30
Subtract 6 from both sides:
2 * J = 24
Divide both sides by 2:
J = 24 / 2
J = 12
Jackie sold 12 cars.
Answer:
0.9999
Step-by-step explanation:
Let X be the random variable that measures the time that a switch will survive.
If X has an exponential distribution with an average life β=44, then the probability that a switch will survive less than n years is given by
So, the probability that a switch fails in the first year is
Now we have 100 of these switches installed in different systems, and let Y be the random variable that measures the the probability that exactly k switches will fail in the first year.
Y can be modeled with a binomial distribution where the probability of “success” (failure of a switch) equals 0.0225 and
where
equals combinations of 100 taken k at a time.
The probability that at most 15 fail during the first year is
