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3 years ago

What numbers are a distance of 3/4 unit from 1/8 on a number line?

Mathematics

1 answer:

Tasya [4]3 years ago

5 0

1/8 + 3/4 = 1/8 + 6/8 = 7/8 (to the right)
1/8 - 3/4 = 1/8 - 6/8 = -5/8 (to the left)

Answers are 7/8 and -5/8.

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The cost of off-campus living for U of O students is normally distributed. The Office of the Registrar estimates that on average

evablogger [386]

Answer:

H1 : μ < 1225

Step-by-step explanation:

The alternative hypothesis in carrying out a statistical test could be explained as a notion which aims to displace or rival an initial position, the null hypothesis.

When declaring an hypothesis, the statement compares the initial or population mean in the hypothesis statement and not the result or outcome of the sample statistic.

In the scenario above :

The null is of the notion that :

H0 : μ = 1225 ;

Hence, the stance of the alternative which is that the mean is lower or less will be written as :

H1 : μ < 1225

6 0

3 years ago

3(x+2)-2(×+1) i need help with this problem

zhuklara [117]

Question:

What is 3(x + 2) - 2(x + 1)?

Steps:

When you solve this type of equation always use the distributive property formula to solve this equation!

Formula: a(b + c) = ab + ac

So, what is 3(x + 2) ?

3x + 6

Also, what is -2(x + 1)?

-2x - 2

Then, put it back into the equation for you to solve this problem.

So, this would be the new equation:

3x + 6 - 2x - 2

Then, what you want to do is put variables next to each other and the numbers next to each other so it will be easier to simplify:

3x - 2x + 6 - 2

Then, simplify:

x + 4 is the answer!

Since 3x - 2x = x and 6 - 2 = 4

Hope that helped!!

~Serina

7 0

3 years ago

Find the equation of the line that passes through the points (-5,7) and (2,3)

Olegator [25]

Answer:

$y=-\frac{4}{7}x+4\frac{1}{7}$

Step-by-step explanation:

So, in order to solve this problem, I started off by drawing it out. On my graph that I have attached below, I first started out by locating the points (-5,7) and (2,3). Now, this is an optional step, but I highly encourage practicing your graphing skills by solving this problem on graph paper as well. Next, I connected the two points that I just graphed. This is the line that passes through (-5,7) and (2,3).

Now, here is where the actual solving starts. If you haven't already been taught this yet, I will introduce it to you now. I am going to find the equation of this line by filling in what I know in the equation y=mx+b, where m= the slope of the line, and b= y intercept.

Slope of the line: m= $\frac{y_{1} - y_{2} }{x_{1} - x_{2} } = \frac{7-3}{-5-2} = \frac{4}{-7}= -\frac{4}{7}$

If you haven't been taught how to find the slope of a line I recommend you find out.

Substitute the slope into the equation.

$y=-\frac{4}{7} x+b\\$

Now, we will solve for the 'b,' or y intercept.

We already have x and y values to use: (-5,7) or (2,3). I'll use x=2 and y=3 to solve for the y intercept.

$y=-\frac{4}{7} x+b\\\\3=-\frac{4}{7} *2+b\\\\3=-\frac{8}{7} +b\\b=3+\frac{8}{7} \\b=\frac{21}{7}+\frac{8}{7}=\frac{29}{7} =4\frac{1}{7} \\b=4\frac{1}{7}$