Multiply: 4x ^3sqrt 4x^2 (2 ^3sqrt 32x^2 * x ^3sqrt 2x)
1 answer:
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<u>Given</u>:
Four coordinates lying on the 3rd quadrant of the Cartesian plane are as follows:
- C' = (–6, –5)
- D' = (–6, –3)
- E' = (–4, –3)
- F' = (–4, –5)
<u>Translation</u>:
Since you've been asked to translate the coordinates of the vertices 2 units right and 8 units up, you'll need to add 2 to its x-coordinate and 8 to its y-coordinate.
C'(–6, –5)
ㅤㅤ= C'(–6 + 2, –5 + 8)
ㅤㅤ= C'(–4, 3)
D'(–6, –3)
ㅤㅤ= D'(–6 + 2, –3 + 8)
ㅤㅤ= D'(–4, 5)
E'(–4, –3)
ㅤㅤ= E'(–4 + 2, –3 + 8)
ㅤㅤ= E'(–2, 5)
F'(–4, –5)
ㅤㅤ= F'(–4 + 2, –5 + 8)
ㅤㅤ= F'(–2, 3)
<u>Final </u><u>answer</u>:
- C' = (–4, 3)
- D' = (–4, 5)
- E' = (–2, 5)
- F' = (–2, 3)
In order to be given a scholarship, a swimmer must complete the 200-meter backstroke in no more than 144 seconds.
<u><em>Explanation</em></u>
Given that the time to complete a 200-meter backstroke swim for female competitive swimmers is normally distributed with a mean μ = 141 seconds and a standard deviation σ = 7 seconds
The fastest 6% of female swimmers in the nation are offered college scholarships. So, the probability will be 0.06
According to the normal distribution table, the z-score for probability of 0.06 is 0.5239
Now using z-score formula z= (x- μ)/σ , we will get...
That means, <em>(in whole number)</em>
So, in order to be given a scholarship, a swimmer must complete the 200-meter backstroke in no more than 144 seconds.