Answer:
0.09
Step-by-step explanation:
Given :
P(bike) = 0.8
P(car) = 0.2
P(Late given car) = P(Late | car) = 0.05
P(Late given bike) = p(Late | bike) = 0.1
Probability that professor is late :
P(late) = [P(Late | car) * p(car)] + [p(Late | bike) * p(bike)]
P(late) = [0.05 * 0.2] + [0.1 * 0.8]
P(late) = 0.01 + 0.08
P(late) = 0.09
<h3>
Answer: 0.5</h3>
This is equivalent to the fraction 1/2
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Explanation:
The distance from A to B is 3 units. We can count out the spaces, or subtract the x coordinates of the two points and apply absolute value.
|A-B| = |-5-(-8)| = |-5+8| = |3| = 3
or
|B-A| = |-8-(-5)| = |-8+5| = |-3| = 3
We can say that segment AB is 3 units long.
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The distance from A' to B' is 1.5 units because...
|A'-B'| = |-2.5-(-4)| = |-2.5+4| = |1.5| = 1.5
or
|B'-A'| = |-4-(-2.5)| = |-4+2.5| = |-1.5| = 1.5
The absolute values ensure the distance is never negative.
We can say A'B' = 1.5
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Now divide the lengths of A'B' over AB to get the scale factor k
k = (A'B')/(AB)
k = (1.5)/(3)
k = 0.5
0.5 converts to the fraction 1/2.
The smaller rectangle A'B'C'D' has side lengths that are exactly 1/2 as long compared to the side lengths of ABCD.
The answer is C because when you divide it out you get 6
Answer:There are 96 apples in the 12th bag.
Step-by-step explanation:
Firstly, you add the number of apples in the 11 bags.
6+28+16+27+10=87
If the mean number of apples in the 12 bags were 8, the total number of apples are 96.
Using this info, we subtract 87 from 96 to 9.
Hence, there are 9 apples in the 12th bag.
