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tamaranim1 [39]
3 years ago
12

A rope 25 feet long is cut into 3 pieces. The forest piece is 2x feet long, the second piece is 5x feet long, and he third piece

is 4 feet long.
a. Write and solve and equation find x.

b. Find the length of the first and second piece
Mathematics
1 answer:
Gnoma [55]3 years ago
8 0
(a) 2x + 5x + 4 = 25 <== ur equation
    7x + 4 = 25
    7x = 25 - 4
    7x = 21
     x = 21/7
    x = 3

(b) first piece = 2x....= 2(3) = 6 ft <=
     second piece = 5x....= 5(3) = 15 ft <=
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Shane is measuring a shelf. It is 24 inches long. He measures again to find the number of feet. Will the length of the shelf be
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A marketing firm would like to test-market the name of a new energy drink targeted at 18- to 29-year-olds via social media. A st
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Answer:

(a) The probability that a randomly selected U.S. adult uses social media is 0.35.

(b) The probability that a randomly selected U.S. adult is aged 18–29 is 0.22.

(c) The probability that a randomly selected U.S. adult is 18–29 and a user of social media is 0.198.

Step-by-step explanation:

Denote the events as follows:

<em>X</em> = an US adult who does not uses social media.

<em>Y</em> = an US adult between the ages 18 and 29.

<em>Z</em> = an US adult between the ages 30 and above.

The information provided is:

P (X) = 0.35

P (Z) = 0.78

P (Y ∪ X') = 0.672

(a)

Compute the probability that a randomly selected U.S. adult uses social media as follows:

P (US adult uses social media (<em>X'</em><em>)</em>) = 1 - P (US adult so not use social media)

                                                   =1-P(X)\\=1-0.35\\=0.65

Thus, the probability that a randomly selected U.S. adult uses social media is 0.35.

(b)

Compute the probability that a randomly selected U.S. adult is aged 18–29 as follows:

P (Adults between 18 - 29 (<em>Y</em>)) = 1 - P (Adults 30 or above)

                                            =1-P(Z)\\=1-0.78\\=0.22

Thus, the probability that a randomly selected U.S. adult is aged 18–29 is 0.22.

(c)

Compute the probability that a randomly selected U.S. adult is 18–29 and a user of social media as follows:

P (Y ∩ X') = P (Y) + P (X') - P (Y ∪ X')

                =0.22+0.65-0.672\\=0.198

Thus, the probability that a randomly selected U.S. adult is 18–29 and a user of social media is 0.198.

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Answer:

The answer is 236

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