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melisa1 [442]
3 years ago
11

Solve the following equation for y: -4x+8y=24

Mathematics
1 answer:
Alecsey [184]3 years ago
4 0

Answer: y = 3 + x/2

Step-by-step explanation:

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Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 5 hours. Together they
nignag [31]

Answer:

Step-by-step explanation:

Let a represent the charges made hourly by Mechanic 1 and b represent that of Mechanic 2;

a + b = 165, a = 165 - b

10a + 5b = 1200

substitute the value of a in the second equation;

10(165 - b) + 5b = 1200

1650 - 10b +5b = 1200

1650 - 5b = 1200

-5b = 1200 - 1650

-5b = -450

b = 450/5

b = $90/hr

If mechanic 2 charged $90/hr,

a + 90 = 165

a = 165 - 90

a = $75/hr being the hourly rate charged by mechanic 1.

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4 years ago
!!Given m|n, find the value of x.<br> (4x-7)<br> (3x+9)
UkoKoshka [18]

Answer:

4 x − 7 is the exact value

Step-by-step explanation:

5 0
3 years ago
A baseball team won 20 games and lost 10 games. What percent of the games did the team win?
omeli [17]
50% of the games were won
5 0
4 years ago
Is this fraction irrational or rational?<br> 9.68 (the eight is repeating)
LenaWriter [7]

Answer:

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3 0
3 years ago
The amount of time all students in a very large undergraduate statistics course take to complete an examination is distributed c
Anestetic [448]

Answer:

a) The mean is \mu = 60

b) The standard deviation is \sigma = 9

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 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.

The probability a student selected at random takes at least 55.50 minutes to complete the examination equals 0.6915.

This means that when X = 55.5, Z has a pvalue of 1 - 0.6915 = 0.3085. This means that when X = 55.5, Z = -0.5

So

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

-0.5 = \frac{55.5 - \mu}{\sigma}

-0.5\sigma = 55.5 - \mu

\mu = 55.5 + 0.5\sigma

The probability a student selected at random takes no more than 71.52 minutes to complete the examination equals 0.8997.

This means that when X = 71.52, Z has a pvalue of 0.8997. This means that when X = 71.52, Z = 1.28

So

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

1.28 = \frac{71.52 - \mu}{\sigma}

1.28\sigma = 71.52 - \mu

\mu = 71.52 - 1.28\sigma

Since we also have that \mu = 55.5 + 0.5\sigma

55.5 + 0.5\sigma = 71.52 - 1.28\sigma

1.78\sigma = 71.52 - 55.5

\sigma = \frac{(71.52 - 55.5)}{1.78}

\sigma = 9

\mu = 55.5 + 0.5\sigma = 55.5 + 0.5*9 = 55.5 + 4.5 = 60

Question

The mean is \mu = 60

The standard deviation is \sigma = 9

6 0
3 years ago
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