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Margaret [11]
3 years ago
10

James bought 2/3 pound of red apples, 3/4 pound of green apples, and 5/6 pound of yellow apples. How many pounds of apples did J

ames buy altogether
Mathematics
1 answer:
Mariana [72]3 years ago
3 0
Ok, so we can't solve that because all of the fraction's denominators are different, so we need to find a common denominator for all of the fractions. The lowest common denominator is 12. So to get twelve we multiply the denominator and numerator to get the denominator. So in 3/4 we multiply the 4 by 3 and the 3, so we get 9/12. In 2/3 we multiply the 3 by 4 and the 2 by 4 and we get 8/12. Finally, in 5/6 you multiply the 6 by 2 to get 12, and the 5 by 2, and you get 10/12. So 10/12 + 8/12 + 9/12 = 27/12 = 2 3/12, or 2 1/4.
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A worn, poorly set-up machine is observed to produce components whose length X follows a normal distribution with mean 14 centim
Akimi4 [234]

Answer:

74.86% probability that a component is at least 12 centimeters long.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 14

Variance is 9.

The standard deviation is the square root of the variance.

So

\sigma = \sqrt{9} = 3

Calculate the probability that a component is at least 12 centimeters long.

This is 1 subtracted by the pvalue of Z when X = 12. So

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

Z = \frac{12 - 14}{3}

Z = -0.67

Z = -0.67 has a pvalue of 0.2514.

1-0.2514 = 0.7486

74.86% probability that a component is at least 12 centimeters long.

6 0
3 years ago
If GH = HI And FI =10 what is GI
ehidna [41]

Answer:

20

Step-by-step explanation:

By HL and CPCTC, GF = FI, so GI = 2FI = 2(10) = 20.

4 0
3 years ago
HELP PLSS I BEG plss
madam [21]

Answer:

Answer for 3:

its 6/2 and 3/1 because 6/2 simplified is 3 and 3/1 is 3

Step-by-step explanation:

Answer for 4

box one 1/4

box 2 4/10

box 3 3/4

5 0
3 years ago
Is y=3x+4 parallel or perpendicular
Sauron [17]

Answer: y=3x+4 is parallel to y=3x+7

Step-by-step explanation:

<h3> The complete exercise is: "Is y=3x+4 parallel, perpendicular or neither to y=3x+7?"</h3><h3 />

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope of the line and "b" is the y-intercept.

First, in order to solve this exercise it is important to remember that, by definition:

1. The slopes of parallel lines are equal.

2. The slopes of perpendicular lines are negative reciprocal.

In this case, you have the following line given in the exercise:

 y=3x+4

You can identify that "m" and "b" are:

m=3\\b=4

And the other line provided in the exercise is this one:

y=3x+7

So, you can identify that:

m=3\\b=7

As you can notice, the slopes of both lines are equal; therefore, you can conclude that those lines are parallel.

6 0
3 years ago
Lydia is an architect. She has to design a courtyard garden inside a new hotel. On her blueprint, which is 1/20 the size of the
AlexFokin [52]

Answer:

720 inches

Step-by-step explanation:

On her blueprint, which is 1/20 the size of the actual garden

the width of the garden is 36 inches.

What is the width of the actual garden?

Let width of the actual garden = x

1/20 of x = 36

1/20 * x = 36

x = 36 ÷ 1/20

x = 36 * 20/1

x = 720

x = 720 inches

The width of the actual garden = 720 inches

8 0
3 years ago
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