A town in east Texas received 30 inches of rain in two weeks. If it kept raining at this rate for a 31−day month, how much rain
2 answers:
Answer:
66 inches
Step-by-step explanation:
This implies that in this specific town in Texas, an average of 30 inches of rain falls every two weeks.
Amount of rain received every two weeks (14 days) = 30 inches.
For a 31 day month, we have:
= 2
Therefore for a 31 day month, the amount of rain received by the town can be determined as;
= 30 x 2
= 66.4285
= 66 inches
The amount of rain received by the town is 66 inches for the 31 days.
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Then the combinations are
n represents the amount of things you can choose and choose r from them
You need the probability that the 3 selected components at least one are defective.
That is the same as:
(1 - probability that no component of the selection is defective).
The probability that none of the 3 selected components are defective is:
Where is the number of ways to select 3 non-defective components from 117 non-defective components and
is the number of ways to select 3 components from 120.
So:
Finally, the probability that at least one of the selected components is defective is:
P = 7.4%
Answer:
B.
Step-by-step explanation:
First, let's start from the parent function. The parent function is:
The possible transformations are so:
,
where a is the vertical stretch, b is the horizontal stretch, c is the horizontal shift and d is the vertical shift.
From the given equation, we can see that a=1 (so no change), b=3, c=-3 (<em>negative </em>3), and d=3.
Thus, this is a horizontal stretch by a factor of 3, a shift of 3 to the <em>left </em>(because it's negative), and a vertical shift of 3 upwards (because it's positive).