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3 years ago

What is the slope of the line that passes through the points (4, 7) and (5,8)?

Mathematics

1 answer:

slava [35]3 years ago

8 0

Answer:

Step-by-step explanation:

Use the coordinates of the points to determine the slope

slope = Δy/Δx = (8-7)/(5-4) = 1

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Find the mean of the integers

mrs_skeptik [129]

We need to find mean of given integers.

We have -16,39,-10,-16,12,31.

In order to find mean, we need to add all the given inetgers.

Therefore, putting plus sign in between integers.

-16+ 39+ (-10)+(-16)+12+31 .

We will add all positive number 39+12+31 = 82

We will add all negative numbers by negative numbers, -16-10-16 = -42.

Therefore, -16+ 39+ (-10)+(-16)+12+31 = 82 - 42 = 40.

We have given total 6 integers.

So, in order to find the mean, we need to apply following formula

Mean = $\frac{Sum \ of \ all \ number }{Total \ numbers}$

We get,

Mean = 40/6 = 6.66666......

We can round it to 6.67.

Therefore, mean of the given integers = 6.67 (approximately) .

4 0

3 years ago

Measures of center and variation can be used to describe data sets. Choose ALL statements about these measures that are true.

tangare [24]

Answer:

These are the answers:

A) The mean, or average, is a measure of center.

D) Measures of variability describe how the values in a data set vary.

E) Measures of center describe all values in a data set with a single number.

8 0

2 years ago

Guys I need help! You and your friend are rolling number cubes. Each cube has 6 sides with the numbers 1 to 6. If a sum of 7 is

olga nikolaevna [1]

Friend 3 is right like really right 18 and you 18 2,3,4

5 0

2 years ago

226 grams is what fraction of a pound

Ivanshal [37]

Answer:

226 Grams = 0.49824471 Pounds

5 0

3 years ago

Read 2 more answers

Melanie is looking for a loan. She is willing to pay no more than an effective rate of 9.955% annually. Which, if any, of the fo

lakkis [162]

Answer:

c) A and B, being r(loan a)= 9.699% annually, r(loan b)=9.862% annual

Step-by-step explanation:

Hi, well, let´s transform all this nominal rates into effective annual rates.

Loan A: 9.265% nominal rate, compounded weekly

In order to find the easiest effective rate, we need to divide this rate by 52 (which are the weeks in a year). Once we do that, we convert this effective weekly rate into an effective annual rate. Let´s walk you through all this.

$r(E.week)=\frac{0.09265}{52} =0.00178173$

Or 0.178173% effective weekly. Now we can transform it into an effective annual rate.

$r(e.a)=(1+r(e.week))^{52} -1$

$r(e.a)=(1+0.00178173)^{52} -1=0.09699$

Or 9.669% annual, which is less than 9.955%, so this one is sellected, let´s check the next.

Loan B: 9.442% nominal rate, compounded monthly

Just like we did with Loan A, we need to divide this rate too, only this time, we will divide by 12, therefore obtaining an effective monthly rate.

$r(E.month)=\frac{0.09442}{12} =0.00786833$

Or 0.786833% effective monthly, let´s turn it into a effective annual rate.

$r(e.a)=(1+r(e.month))^{12} -1$

$r(e.a)=(1+0.00786833)^{12} -1=0.09862$

Or 9.862% annual, so this rate would work for Melanie too. This means that option C) is the answer we are looking for but, let´s walk that extra mile and turn that Loan C rate into an annual rate.

$r(E.quarter)=\frac{0.09719}{4}=0.0242975$

or 2.42975% effective quarterly, now, let´s convert it into an effective annual rate.

$r(e.a)=(1+0.0242975)^{12} -1=0.10079$

That is 10.079% effective annual, therefore, Loan C is not an option for Melanie.

Best of Luck.

5 0

3 years ago

Read 2 more answers