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Snezhnost [94]
2 years ago
13

Write an equation that is perpendicular to y=3/5x-1 and passes through the point (9,14)

Mathematics
1 answer:
Leokris [45]2 years ago
8 0

Answer:

y=(-5/3)x+29

Step-by-step explanation:

we will use the base formula y=mx+b

In order to be perpendicular, the slope must be the flipped fraction and have the opposite sign, so our m is (-5/3)

y=(-5/3)x+b

You can plug in the (9,14) point in order to find the b

14=(-5/3)(9)+b

14=(-45/3)+b

14=(-15)+b

14+15=b

29=b

and so altogether our equation is y=(-5/3)x+29

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Some college graduates employed full-time work more than hours per week, and some work fewer than hours per week. We suspect tha
Alex_Xolod [135]

Answer:

a)Null hypothesis:\mu =40      

Alternative hypothesis:\mu \neq 40      

b) A Type of error I is reject the hypothesis that \mu is equal to 40 when is fact \mu is equal to 40c) We can commit a Type II Error, since by definition "A type II error is the non-rejection of a false null hypothesis and is known as "false negative" conclusion"Step-by-step explanation:Assuming this problem: "Some college graduates employed full-time work more than 40 hours per week, and some work fewer than 40 hours per week. We suspect that the mean number of hours worked per week by college graduates, [tex]\mu , is different from 40 hours and wish to do a statistical test. We select a random sample of college graduates employed full-time and find that the mean of the sample is 43 hours and that the standard deviation is 4 hours. Based on this information, answer the questions below"

Data given

\bar X=43 represent the sample mean

\mu population mean (variable of interest)

s=4 represent the sample standard deviation

n represent the sample size  

Part a: System of hypothesis

We need to conduct a hypothesis in order to determine if actual mean is different from 40 , the system of hypothesis would be:    

Null hypothesis:\mu =40      

Alternative hypothesis:\mu \neq 40      

Part b

In th context of this tes, what is a Type I error?

A Type of error I is reject the hypothesis that \mu is equal to 40 when is fact [tex]\mu is equal to 40

Part c

Suppose that we decide not to reject the null hypothesis. What sort of error might we be making.

We can commit a Type II Error, since by definition "A type II error is the non-rejection of a false null hypothesis and is known as "false negative" conclusion"

5 0
2 years ago
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Explain how algebra tiles represent like terms and zero pairs
Leokris [45]
If there is a negative tile and a positive tile, it creates a zero pair.
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6 0
3 years ago
In 3 apples cost 48¢ , how many dozen apples can be bougth for $3.84?
Law Incorporation [45]

1 dozen = 12 apples.

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Divide the total you can spend ( 3.84) by cost per dozen:


3.48 / 1.92 = 2


You can buy 2 dozen.

6 0
3 years ago
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Practice with area
joja [24]

Answer:

  1453 cm²

Step-by-step explanation:

The area of a regular polygon is given in terms of its perimeter and apothem by ...

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4 0
2 years ago
How do i solve this?
Maksim231197 [3]
For number one is 1606, for 2 is -508, for 3 is 0, and 4 is 12
7 0
3 years ago
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