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AleksAgata [21]
2 years ago
15

Tina has 5 yards of fabric. She is making scarves that each require 1/3 of a yard of fabric. How many scarves can she make?

Mathematics
1 answer:
larisa [96]2 years ago
4 0

Answer:

15 scarves

Step-by-step explanation:

CROSS MULTIPLICATION METHOD

5 YARDS = x

⅓ YARDS = 1 scarves

⅓x = 5

x = 5×3

x = 15

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The area of a rectangle is 99 square inches. What is the new area of the rectangle if the height were five times long and the ba
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Answer:

330 square inches

Step-by-step explanation:

99 x 5 =495

495 x 2/3 =330

8 0
3 years ago
Manufacture of a certain component requires three different machining operations. Machining time for each operation has a normal
tigry1 [53]

Answer:

0.0314 = 3.14% probability that it takes at most 1 hour of machining time to produce a randomly selected component

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Sum of normal variables:

When normal variables are added, the mean is the sum of the means while the standard deviation is the square root of the sum of the variances.

The mean values are 20, 15, and 30 min, respectively:

This means that \mu = 20 + 15 + 30 = 65

The standard deviations are 1, 2, and 1.5 min, respectively.

This means that \sigma = \sqrt{1^2 + 2^2 + 1.5^2} = 2.6926

What is the probability that it takes at most 1 hour of machining time to produce a randomly selected component?

Mean and standard deviation are in minutes, so this is the pvalue of Z when X = 60.

Z = \frac{X - \mu}{\sigma}

Z = \frac{60 - 65}{2.6926}

Z = -1.86

Z = -1.86 has a pvalue of 0.0314

0.0314 = 3.14% probability that it takes at most 1 hour of machining time to produce a randomly selected component

7 0
2 years ago
The dot plots show the ages of players on two soccer teams. Which statements are true? Check all that app The Lions have more va
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Answer:

B and D

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D: The Eagles have more players.

Step-by-step explanation:

3 0
3 years ago
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Vlad [161]

Answer:

Y=-2, 0

Step-by-step explanation:

EDG 2020

3 0
3 years ago
A treatment is administered to a sample of n = 9 individuals selected from a population with a mean of LaTeX: \muμ = 80 and a st
myrzilka [38]

Answer:

none of the above

Step-by-step explanation:

cohen's d= (Mean of population - mean of sample)/ standard deviation of population

0.5 = (80-mean of sample)/12

Mean of sample= 74

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3 years ago
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