A construction crew needs to pave a road that is 207 miles long. The crew paves 8 miles of the road each day. The length, L (in
1 answer:
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First we have to determine a linear equation. We will take two points (0,900) and (1,850):
y=mx+b
900=m*0+b, b=900
850=m*1+900
m=-50
Linear equation is:
y=-50x+900
Part A: y-interception is y=900 or(0,900).
It means that a car has to travel a distance of 900 miles to reach a final destination.
Part B:Average rate of change:
=-50. It represents how many miles per one hour changes the distance from a destination.
Part C: Domain of this function if the car traveled the same rate until it reached its destination:
0=-50x+900
50x=900
x=900/50=18
Domain: x∈ [0, 18].
y=mx+b
900=m*0+b, b=900
850=m*1+900
m=-50
Linear equation is:
y=-50x+900
Part A: y-interception is y=900 or(0,900).
It means that a car has to travel a distance of 900 miles to reach a final destination.
Part B:Average rate of change:
Part C: Domain of this function if the car traveled the same rate until it reached its destination:
0=-50x+900
50x=900
x=900/50=18
Domain: x∈ [0, 18].
Answer:
0.8397
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the cards are chosen is not important. Also, they are drawn without replacement. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
What is the probability that at least one of the cards drawn is a spade?
Either none is a spade, or at least one is a spade. The sum of the probabilities of these outcomes is 1.
The standard deck has 52 cards, of which 13 are spades. So
Probability that none are spades:
Desired outcomes:
6 cards from a set of 52 - 13 = 39. So
Total outcomes:
6 cards from a set of 52. So
Probability:
Probability that at least one is a spade:
1 - 0.1603 = 0.8397
The answer is 0.8397