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WITCHER [35]
3 years ago
6

1) A square has a side length of 10 inches. What is the perimeter?

Mathematics
2 answers:
lesya [120]3 years ago
8 0

Answer:

Step-by-step explanation:

1) Perimeter of a plane shape is the distance round the shape. The formula for the perimeter of a square is expressed as

Perimeter = 4 × length of one side

Since the length of one side is given as 10 inches,

The perimeter = 4×10 = 40 inches.

2) the side lengths of the triangle are 2x -7, 5x -3 and 2x -2. The formula for the perimeter of a rectangle is expressed as

a + b + c

Where a,b and c are the length of the sides of the triangle.

Perimeter = 2x -7 + 5x -3 + 2x -2 = (9x -12) inches

3) if x=6, the perimeter of the triangle would be

9×6 -12 = 54 - 12 = 42 inches

antiseptic1488 [7]3 years ago
5 0

Answer:

1) 40

2)9x-12

3)42

Step-by-step explanation:

1) A square has 4 sides, and if one side's length is 10, the perimeter (distance around the square) is 10 times 4=40

2) Simply add these values together to get 9x-12

3) Plug in 6 as x in 9x-12. (6*9)-12=54-12=42

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Based on historical data, your manager believes that 41% of the company's orders come from first-time customers. A random sample
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Answer:

The probability that the sample proportion is between 0.35 and 0.5 is 0.7895

Step-by-step explanation:

To calculate the probability that the sample proportion is between 0.35 and 0.5 we need to know the z-scores of the sample proportions 0.35 and 0.5.

z-score of the sample proportion is calculated as

z=\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } } where

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For the sample proportion 0.35:

z(0.35)=\frac{0,35-0.41}{\sqrt{\frac{0.41*0.59}{72} } } ≈ -1.035

For the sample proportion 0.5:

z(0.5)=\frac{0,5-0.41}{\sqrt{\frac{0.41*0.59}{72} } } ≈ 1.553

The probabilities for z of being smaller than these z-scores are:

P(z<z(0.35))= 0.1503

P(z<z(0.5))= 0.9398

Then the probability that the sample proportion is between 0.35 and 0.5 is

P(z(0.35)<z<z(0.5))= 0.9398 - 0.1503 =0.7895

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