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1 year ago

Which is the slope of the line that passes through the points (-5,6) and (-3,2)?

Mathematics

1 answer:

vitfil [10]1 year ago

7 0

The slope of the line passes through the points (-5,6) and (-3,2) is 2.

<h3>What is a slope?</h3>

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope is also defined as the ratio of the rise to the run.

Given that the line that passes through the points (-5,6) and (-3,2).

The slope of the line is calculated by the formula,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( 6 - 2) / ( -3 + 5)

Slope = 4 / 2

Slope = 2

Therefore, the slope of the line passes through the points (-5,6) and (-3,2) is 2.

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You just graduated college (age 23) and now have your dream job of a computer animator. Your gross salary is 43,000 a year. Answ

Kipish [7]

Answer:

$93.72

Step-by-step explanation:

To be able to find how much is deducted from our paycheck monthly, we have to compute for the total amount left to pay for the health insurance.

Insurance = $4500

Company % = 75% or 0.75

Total amount left = $4500- $4500x0.75

Total amount left = $1125

Now that we know the total amount left, we simply divide the total by 12 to find the monthly payments.

Monthly Payment = $1125/12

Monthly Payment = $93.72

So a total of $93.72 will be deducted from our monthly paycheck for the health insurance.

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3 years ago

Read 2 more answers

What is 87.252 dividend by 2.2 I am not sure how to do the work

WARRIOR [948]

Answer:

39.66

Step-by-step explanation:

If the divisor is not a whole number, move decimal point to right to make it a whole number and move decimal point in dividend the same number of places.

Divide like you usually do

Put decimal point directly above decimal point in the dividend.

Check your answer.

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3 years ago

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Based on the Nielsen ratings, the local CBS affiliate claims its 11:00 PM newscast reaches 41 % of the viewing audience in the a

ZanzabumX [31]

Answer:

1) Null hypothesis: $p\geq 0.41$

Alternative hypothesis: $p < 0.41$

2) $\hat p=0.36$ estimated proportion of people indicated that they watch the late evening news on this local CBS station

3) $z_{crit}=-2.33$

And we can use the following excel code to find it: "=NORM.INV(0.01,0,1)"

4) $z=\frac{0.36 -0.41}{\sqrt{\frac{0.41(1-0.41)}{1000}}}=-1.017$

5) $z_{crit}=-1.28$

And we can use the following excel code to find it: "=NORM.INV(0.1,0,1)"

6) We see that $|t_{calculated}|$ so then we have enough evidence to FAIL to reject the null hypothesis at 1% of significance.

7) Null hypothesis: $p\geq 0.41$

Step-by-step explanation:

Data given and notation

n=100 represent the random sample taken

X represent the people indicated that they watch the late evening news on this local CBS station

$\hat p=0.36$ estimated proportion of people indicated that they watch the late evening news on this local CBS station

$p_o=0.41$ is the value that we want to test

$\alpha=0.05$ represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

$p_v{/tex} represent the p value (variable of interest) Part 1We need to conduct a hypothesis in order to test the claim that 11:00 PM newscast reaches 41 % of the viewing audience in the area: Null hypothesis:[tex]p\geq 0.41$

Alternative hypothesis: $p < 0.41$

Part 2

$\hat p=0.36$ estimated proportion of people indicated that they watch the late evening news on this local CBS station

Part 3

Since we have a left tailed test we need to see in the normal standard distribution a value that accumulates 0.01 of the area on the left and on this case this value is :

$z_{crit}=-2.33$

And we can use the following excel code to find it: "=NORM.INV(0.01,0,1)"

Part 4

When we conduct a proportion test we need to use the z statisitc, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.36 -0.41}{\sqrt{\frac{0.41(1-0.41)}{1000}}}=-1.017$

Part 5

Since we have a left tailed test we need to see in the normal standard distribution a value that accumulates 0.1 of the area on the left and on this case this value is :

$z_{crit}=-1.28$

And we can use the following excel code to find it: "=NORM.INV(0.1,0,1)"

Part 6

We see that $|t_{calculated}|$ so then we have enough evidence to FAIL to reject the null hypothesis at 1% of significance.

Part 7

Null hypothesis: $p\geq 0.41$

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3 years ago

3.) 2x + 4 = -3x - 2; x = 1<br><br>Determine if the value of x is a solution to the equation

guajiro [1.7K]

Answer:

x = 1 is not a solution to the equation