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LuckyWell [14K]
2 years ago
7

Find the slope of the line passing through the points (-3, 7) and (2, -6)

Mathematics
1 answer:
ruslelena [56]2 years ago
5 0

Answer:

Step-by-step explanation:

Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{-6-7}{2-[-3]}=\dfrac{-6-7}{2+3}\\\\\\=\dfrac{-13}{5}

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Peggy was taking a timed 20-question test. She was able to correctly answer 80% of the questions but had to skip the rest. How m
BartSMP [9]
She got 16 questions correct
6 0
3 years ago
A circle has an area of 75 square centimeters. Which answer is closest to the measure of its radius?
Valentin [98]
--------------------------------------------------
Formula
--------------------------------------------------
Area of circle = πr²

--------------------------------------------------
Find radius
--------------------------------------------------
πr² = 75
r² = 75 ÷ π
r² = 23.87
r = √23.87
r = 4.89 cm (nearest hundreds)

--------------------------------------------------
Answer : radius = 4.89cm
--------------------------------------------------

8 0
2 years ago
Read 2 more answers
The Rocky Mountain district sales manager of Rath Publishing Inc., a college textbook publishing company, claims that the sales
mihalych1998 [28]

Answer:

We conclude that the mean number of calls per salesperson per week is more than 37.

Step-by-step explanation:

We are given that the Rocky Mountain district sales manager of Rath Publishing Inc., a college textbook publishing company, claims that the sales representatives make an average of 37 sales calls per week on professors.

To investigate, a random sample of 41 sales representatives reveals that the mean number of calls made last week was 40. The standard deviation of the sample is 5.6 calls.

<em><u>Let </u></em>\mu<em><u> = true mean number of calls per salesperson per week.</u></em>

SO, <u>Null Hypothesis</u>, H_0 : \mu \leq 37   {means that the mean number of calls per salesperson per week is less than or equal to 37}

<u>Alternate Hypothesis,</u> H_A : \mu > 37   {means that the mean number of calls per salesperson per week is more than 37}

The test statistics that will be used here is <u>One-sample t test statistics</u> as we don't know about the population standard deviation;

                        T.S.  = \frac{\bar X -\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample mean number of calls made last week = 40

             s = sample standard deviation = 5.6 calls

             n = sample of sale representatives = 41

So, <em><u>test statistics</u></em>  =   \frac{40-37}{\frac{5.6}{\sqrt{41} } }  ~ t_4_0

                               =  3.43

Hence, the value of test statistics is 3.43.

<em>Now at 0.025 significance level, the t table gives critical value of 2.021 at 40 degree of freedom for right-tailed test. Since our test statistics is more than the critical value of t as 3.43 > 2.021, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.</em>

Therefore, we conclude that the mean number of calls per salesperson per week is more than 37.

4 0
3 years ago
22 POINTS
Harlamova29_29 [7]

Answer:

C. 2, -2, -6

Step-by-step explanation:

18, 14, 10, 6, ?

18 - 4 = 14

14 - 4 = 10

10 - 4 = 6

6 - 4 = 2

2 - 4 = -2

-2 - 4 = -6

They are subtracting each number by 4 to get the next one that continues.

Hope this helped!

Have a supercalifraglisticexpialidocious day!

7 0
2 years ago
Read 2 more answers
Prove the polynomial identity.
Kaylis [27]

Answer:

Proven

Step-by-step explanation:

We prove the polynomial with factorization. We must first simplify the expression before we can factorize:

(4\cdot{x^2}-2)\cdot{(4\cdot{x^2}-2)}-16\cdot{x^4}

16\cdot{x^4}-8\cdot{x^2}-8\cdot{x^2}+4-16\cdot{x^4}

4-16\cdot{x^2}

4 is the common number and we can take it out of the expression:

4\cdot{(1-4\cdot{x^2})}

We can factorize further with the x term being zero. For this to be true we must have -2x and 2x to cancel out and therefore the expression is proven:

4\cdot{(1-2\cdot{x})}\cdot{(1+2\cdot{x})}

5 0
2 years ago
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