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Natalka [10]
3 years ago
9

14. ABCD is a parallelogram. Find the values of x and y.

Mathematics
1 answer:
AveGali [126]3 years ago
6 0
X=9, y=18
First, solve for y by setting y+14 equal to 3y-22 because since it is a parallelogram, the diagonals are congruent. You should get 18 for y one you solve the equation.
Then, plug 18 into 2y+2 and set that equal to 4x+2 for the same reason as the part, then once you solve for x, you should get 9.
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4.20. According to a report released by the National Center for Health Statistics, 51% of U.S. households has only cell phones (
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Answer:

The probability that the household has only cell phones and has high-speed Internet is 0.408

Step-by-step explanation:

Let A be the event that represents U.S. households has only cell phones

Let B be the event that represents U.S. households have high-speed Internet.

We are given that 51% of U.S. households has only cell phones

P(A)=0.51

We are given that 70% of the U.S. households have high-speed Internet.

P(B)=0.7

We are given that U.S. households having only cell phones, 80% have high-speed Internet. A U.S household is randomly selected.

P(B|A)=0.8

\frac{P(A\capB)}{P(A)}=0.8\\P(A\capB)=0.8 \times P(A)\\P(A\capB)=0.8 \times 0.51\\P(A\capB)=0.408

Hence the probability that the household has only cell phones and has high-speed Internet is 0.408

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