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Darya [45]
4 years ago
9

Which is the slant height of the pyramid if Helen uses all the clay

Mathematics
1 answer:
Digiron [165]4 years ago
8 0
First, find the height of the pyramid using the volume formula.
Then use the Pythagorean theorem to find the slant height.

V = (1/3)Ah

48 = (1/3)(6^2)h

144 = 36h

h = 4

Since the side of the base is 6 in., half the side is 3 in.
The height of the pyramid is 4 in.
Call the slant height S.

3^2 + 4^2 = S^2

9 + 16 = S^2

25 = S^2

S = 5

Answer: The slant height is 5 in.
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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 (
Sergeu [11.5K]

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

7 0
3 years ago
A sailboat travels a distance of miles in of an hour. Which complex fraction represents the unit rate in miles per hour?
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A sailboat travels a distance of 2 1/2 miles in 1/6 of an hour.

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Consider two events such that P(A) = 1/4 , P(B) = 2/3 , and P(A ∩ B) = 1/5 . Are events A and B independent events?
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