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natita [175]
4 years ago
6

What is the solution is to this 3/5(2m-10)=2/3m+10

Mathematics
1 answer:
aivan3 [116]4 years ago
8 0
To find the solution to the given expression, we simply isolate the unknown variable m and perform the necessary operations. The solution is as follows. 

(3/5)*(2m-10) = (2/3)*m + 10
15*[(3/5)*(2m-10) = (2/3)*m + 10]
9(2m-10) = 10m + 150
18m-90 =10m + 150
18m - 10m = 150 + 90
8m = 240
m = 240/8
m = 30

First, we multiply the whole expression to the least common denominator (LCD) which is 15. Multiplication and division were then performed accordingly. The terms containing the variable m were transposed to the left side of the equation. Mathematical operations were then applied to get the final value of m which is equal to 30.
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D

Step-by-step explanation:

In math increased means that you are adding.

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What number is 24 more than its opposite?
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What is called when two different units are being compared​
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Answer: A ratio compares two numbers or two quantities. The two numbers being compared are called terms. ... A rate is a special ratio that compares two quantities that have different units of measure. If the second term in a rate is 1, the ratio is called a unit rate.

Step-by-step explanation:

A ratio compares two numbers or two quantities. The two numbers being compared are called terms. ... A rate is a special ratio that compares two quantities that have different units of measure. If the second term in a rate is 1, the ratio is called a unit rate.

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Water samples are taken from water used for cooling as it is being discharged from a power plant into a river. It has been deter
blondinia [14]

Answer:

The system of hypothesis for this case are:

Null hypothesis: \mu =150

Alternative hypothesis: \mu >150

A type of error I for this case would be reject the null hypothesis that the true mean is equal than 150 when actually is not true.

Step-by-step explanation:

Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".  

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".  

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".  

Type I error, also known as a “false positive” is the error of rejecting a null  hypothesis when it is actually true. Can be interpreted as the error of no reject an  alternative hypothesis when the results can be  attributed not to the reality.  

Type II error, also known as a "false negative" is the error of not rejecting a null  hypothesis when the alternative hypothesis is the true. Can be interpreted as the error of failing to accept an alternative hypothesis when we don't have enough statistical power.  

Solution to the problem

The system of hypothesis for this case are:

Null hypothesis: \mu =150

Alternative hypothesis: \mu >150

A type of error I for this case would be reject the null hypothesis that the true mean is equal than 150 when actually is not true.

8 0
4 years ago
Given the function g(x) = –11 + 12x + x over 3, evaluate g(4).
Paraphin [41]

g(−3)=2

g(0) = 3g(0)=3

Step-by-step explanation:

Given

The attached graph

Required

Determine

g(-3)g(−3)

g(x) = 3g(x)=3

Since a graph has been provided, the question will be solved graphically;

Solving g(-3)

This implies that;

x = -3

And the interpretation is to solve for the y value when x = -3

From the attached graph;

When x = -3; y = 2

Hence;

g(-3) = 2g(−3)=2

Solving g(x) = 3

This implies that;

y = 3

And the interpretation is to solve for the x value when y = 3

From the attached graph;

When y = 3; x = 0

7 0
3 years ago
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