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3241004551 [841]
3 years ago
7

What is the slope of a line that passes through the points (-2,4) and (-6,12)?

Mathematics
2 answers:
muminat3 years ago
6 0

Answer:

-2

Step-by-step explanation:

As we move right from (-6,12) to (-2,4), x increases by 4 and y decreases by 8.  Thus, the slope of the line thru these 2 pts is m = rise / run = -8/4 = -2.

The first answer choice is the correct one:  The slope is -2.

mariarad [96]3 years ago
5 0

Answer:

2.5

you       multiply it

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Can someone pls help me with this?
Misha Larkins [42]

Answer:

the answer is C

Step-by-step explanation:

3 0
2 years ago
How many 1/10's are in 2/5?
goblinko [34]
There is 4 1/10's in 2/5.

You do this by turning 2/5 into a fraction with a denominator of 10, so it will be 4/10. 1/10 + 1/10 + 1/10 + 1/10 = 4/10
3 0
3 years ago
What is the sum of (7x - 6y) and (x plus y)
Ymorist [56]
Heya user

we have

7x - 6y and x + y

according to the question

( 7x - 6y ) + ( x + y )

→ 7x - 6 y +x + y

→ 8x - 5y

Hope This helps you
3 0
3 years ago
A bond analyst is analyzing the interest rates for equivalent municipal bonds issued by Georgia and Ohio. A sample of 60 bonds i
slavikrds [6]

Answer:

Since our calculated value is outside than our critical value,z_{calc}=-136.438, we have enough evidence to reject the null hypothesis at 5% of significance. So there is not nough evidence to conclude that mean for Ohio it's significantly different than the mean for Georgia.

Step-by-step explanation:

1) Data given and notation  

\bar X_{1}=3.6 represent the mean for Georgia  

\bar X_{2}=4.15 represent the mean for Ohio  

s_{1}=0.03 represent the population standard deviation for Georgia

\sigma_{2}=0.01 represent the population standard deviation for Ohio

n_{1}=60 sample size for Georgia  

n_{2}=80 sample size for Ohio  

z would represent the statistic (variable of interest)

p_v represent the p value  

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the means are different for both groups, the system of hypothesis would be:

H0:\mu_{1} = \mu_{2}  

H1:\mu_{1} \neq \mu_{2}  

If we analyze the size for the samples both are higher than 30, we can assume that the normal distribution is the correct disirbution for the statistic, so for this case is better apply a z test to compare means, and the statistic is given by:  

z=\frac{\bar X_{1}-\bar X_{2}}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}} (1)  

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.  

3) Calculate the statistic  

We have all in order to replace in formula (1) like this:  

z=\frac{3.6-4.15}{\sqrt{\frac{0.03^2}{60}+\frac{0.01^2}{80}}}=-136.438  

4) Find the critical value

In order to find the critical value we need to take in count that we are conducting a two tailed test, so we are looking on the normal standard distribution a value that accumulates 0.025 of the area on the right and 0.975 of the area on the left. We can us excel or a table to find it, for example the code in Excel is:

"=NORM.INV(1-0.025,0,1)", and we got z_{critical}=\pm 1.96

5) Statistical decision

Since our calculated value is outside than our critical value,z_{calc}=-136.438, and outside of (-1.96,1.96), we have enough evidence to reject the null hypothesis at 5% of significance. So there is not nough evidence to conclude that mean for Ohio it's significantly different than the mean for Georgia.

8 0
2 years ago
school spirit club wants to raise money by selling t-shirts. one local company charges a fixed fee of $75 for creating the desig
Kazeer [188]

Answer:

The profit = $(3x - 75) where x = number of t-shirts sold

Step-by-step explanation:

School spirit club wants to raise money by selling t-shirts. one local company charges a fixed fee of $75 for creating the design and $5 for each shirt that they print.

We have to find the club's income if they sell each t-shirt for $8.

Let the number of t-shirts that the club sell be equal to x.

So the cost of making x t-shirts = 75 + 5x

If the club sells x t-shirts , then the money they earn = 8x

Profit = selling price - cost price

          = 8x - (75 + 5x)

          = $(3x - 75)

The club also needs to sell at least 25 t-shirts to make a profit and from then on makes a profit of $3 on each t-shirt they sell.

6 0
3 years ago
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