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Naddik [55]
3 years ago
6

Whats an equation for (0,75) (7,40) in slope intercept form

Mathematics
1 answer:
Molodets [167]3 years ago
8 0

The slope-intercept form: y = mx + b.

m - slope, b - y-intercept

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (0, 75) → y-intercept (b = 75), and (7, 40).

Substitute the coordimates of the points to the formula of a slope:

m=\dfrac{40-75}{7-0}=\dfrac{-35}{7}=-5

<h3>Answer: y = -5x + 75.</h3>
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A random sample of 12 supermarkets from Region 1 had mean sales of 84 with a standard deviation of 6.6. A random sample of 17 su
Sladkaya [172]

Answer:

We conclude that there is no difference in potential mean sales per market in Region 1 and 2.

Step-by-step explanation:

We are given that a random sample of 12 supermarkets from Region 1 had mean sales of 84 with a standard deviation of 6.6.

A random sample of 17 supermarkets from Region 2 had a mean sales of 78.3 with a standard deviation of 8.5.

Let \mu_1 = mean sales per market in Region 1.

\mu_2  = mean sales per market in Region 2.

So, Null Hypothesis, H_0 : \mu_1-\mu_2 = 0      {means that there is no difference in potential mean sales per market in Region 1 and 2}

Alternate Hypothesis, H_A : > \mu_1-\mu_2\neq 0      {means that there is a difference in potential mean sales per market in Region 1 and 2}

The test statistics that will be used here is <u>Two-sample t-test statistics</u> because we don't know about population standard deviations;

                            T.S.  =  \frac{(\bar X_1 -\bar X_2)-(\mu_1-\mu_2)}{s_p \times \sqrt{\frac{1}{n_1}+ {\frac{1}{n_2}}} }   ~  t__n_1_+_n_2_-_2

where, \bar X_1 = sample mean sales in Region 1 = 84

\bar X_2 = sample mean sales in Region 2 = 78.3

s_1  = sample standard deviation of sales in Region 1 = 6.6

s_2  = sample standard deviation of sales in Region 2 = 8.5

n_1 = sample of supermarkets from Region 1 = 12

n_2 = sample of supermarkets from Region 2 = 17

Also, s_p=\sqrt{\frac{(n_1-1)\times s_1^{2}+(n_2-1)\times  s_2^{2}  }{n_1+n_2-2} }  = s_p=\sqrt{\frac{(12-1)\times 6.6^{2}+(17-1)\times  8.5^{2}  }{12+17-2} } = 7.782

So, <u><em>the test statistics</em></u> =  \frac{(84-78.3)-(0)}{7.782 \times \sqrt{\frac{1}{12}+ {\frac{1}{17}}} }  ~   t_2_7

                                   =  1.943  

The value of t-test statistics is 1.943.

 

Now, at a 0.02 level of significance, the t table  gives a critical value of -2.472 and 2.473 at 27 degrees of freedom for the two-tailed test.

Since the value of our test statistics lies within the range of critical values of t, so we have<u><em> insufficient evidence to reject our null hypothesis</em></u> as it will not fall in the rejection region.

Therefore, we conclude that there is no difference in potential mean sales per market in Region 1 and 2.

6 0
3 years ago
Rob is making a square pen for his dog to play in
spayn [35]

Answer:

900 square feet

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
.help me ............
il63 [147K]
35=x

180-75=105

X+2x=3x

105=3x

X=35
4 0
3 years ago
What number must you add to complete the square? x^2+6x=15
Andreyy89
To complete the square you must split the b term in half, then square that answer.

6 is the b term, half of 6 is 3, 3 squared is 9. You will add 9 to both sides of x^2 + 6x = 15

x^2 + 6x + 9 =  24
5 0
3 years ago
Read 2 more answers
Help on number nine please?​
AURORKA [14]

im pretty sure true because they do not intersect and are not parallel :)

7 0
3 years ago
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