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jekas [21]
3 years ago
15

Andrea had 32 problems to do for mathematics homework over the weekend. She did 1/4 of the problems on Friday night, and on Satu

rday she did 1/4 of the problems that were left to do. What was the total number of problems that Andrea needed to do on Saturday in order to complete her mathematics homework?
Mathematics
2 answers:
S_A_V [24]3 years ago
8 0

Answer:

18

Step-by-step explanation:

1/4 of 32 is 8 so 8 - 32 = 24

1/4 of 24 is 6 so 3 - 24 = 18

Vlad [161]3 years ago
6 0
32/4 =8
24/4= 6
18 is left
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In 2014, 85 percent of households in the United States had a computer. For a randomly selected sample of 200 households in 2014,
DochEvi [55]

Answer:

The mean of C is 170 households

The standard deviation of C, is approximately 5 households

Step-by-step explanation:

The given parameters are;

The percentage of households in the United States that had a computer in 2014 = 85%

The size of the randomly selected sample in 2014, n = 200

The random variable representing the number of households that had a computer = C

Therefore, we have;

The probability of a household having a computer P = 85/100 = 0.85

Let

Therefore;

The mean (expected) number in the sample, μₓ, = E(x) = n × P is given as follows;

μₓ = 200 × 0.85 = 170

The mean of C = μₓ = 170

The variance, σ² = n × P × (1 - P) = 200 × 0.85 × (1 - 0.85) = 25.5

Therefore;

The standard deviation, σ = √(σ²) = √(25.5) ≈ 5.05

The standard deviation of C, σ ≈ 5 households (we round (down) to the nearest whole number)

7 0
3 years ago
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irina1246 [14]
<h3>Answer: Check out the diagram below.</h3>

Explanation:

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The two rays join at the vertex angle A. Point A is the center of the universe so to speak because it's the center of dilation. We consider it an invariant point that doesn't move. Everything else will move. In this case, everything will move twice as much compared to as before.

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Once we determine the locations of B' and C', we can then form triangle A'B'C' which is an enlarged copy of triangle ABC. Each side of the larger triangle has side lengths twice as long.

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