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Ilia_Sergeevich [38]
3 years ago
8

Need help please. Thanks so much.

Mathematics
1 answer:
Bingel [31]3 years ago
8 0

Answer:

(-1,\frac{17}{6})

(3,\frac{3}{2})

(-5,\frac{25}{6})

Step-by-step explanation:

The given equation is 2x+6y=15

We substitute the ordered pairs to see which ones satisfies the equation.

For (-1,-8), we put x=-1 and y=-8 to get:

2(-1)+6(-8)=^?15

-2+-48=^?15\\-50=^?15

This is not true.

For (-1,\frac{17}{6})) we put x=-1 and y=\frac{17}{6} to get

2(-1)+6*\frac{17}{6})=15\\ -2+17=15\\15=15

This is true

For (3,3/2) we have 2(3)+6(3/2)=15

This implies 6+9=15

15=15

This is also True

For (-5,25/6), we have 2(-5)+6(25/6)=-10+25=15

This is also true.

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Step-by-step explanation:

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3 years ago
Explain how solving 8+2 can help you solve 80+20.
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Bojangles has a rectangular shaped roof with a width of 6x2 feet and a length 12x3. what is the area of the roof?
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3 years ago
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"A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet Cavalier shows that the mean
Arada [10]

Answer:

85.31% probability that their mean rebuild time exceeds 8.1 hours.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

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.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 8.4, \sigma = 1.8, n = 40, s = \frac{1.8}{\sqrt{40}} = 0.2846

If 40 mechanics are randomly selected, find the probability that their mean rebuild time exceeds 8.1 hours.

This is 1 subtracted by the pvalue of Z when X = 8.1. So

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

By the Central Limit Theorem

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

Z = \frac{8.1 - 8.4}{0.2846}

Z = -1.05

Z = -1.05 has a pvalue of 0.1469

1 - 0.1469 = 0.8531

85.31% probability that their mean rebuild time exceeds 8.1 hours.

4 0
3 years ago
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