Answer:
[See Below]
Step-by-step explanation:
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✦ Round
to the nearest whole number:
✦ Round
to the nearest Tenth:
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Answer is C. 1/169
first we find how many cards are jacks in a deck: 4 out of 52 cards.
4/52 = 1/13 ( We have a 1 in 13 chance of drawing a jack)
(1/13)(1/13) = 1/169
( because the first card is replaced, we know that we don't have to change probabilities)(it will still be a 4/52 chance of drawing a jack)
First you need to rewrite the equation in the form y = mx +b:
2y = x-4
Divide all terms by 2:
2y / 2 = x/2 - 4/2
Simplify:
y = 1/2x - 2
The slope of the line is 1/2.
A perpendicular line has a slope of the negative reciprocal, which would be -2.
Now using the point slope method:
y - y1 = m(x-x1)
Using the given point of (8,-4) and m = -2
you get:
y +4 = -2(x-8)
Simplify:
y +4 = -2x +16
Now subtract 4 from both sides to get the final equation:
y = -2x +12
Y= -3x + 1.5 is the answer