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notsponge [240]
3 years ago
14

What happens to the mean of the data set shown below if the number 3 is added to the data set? A. The mean increases by 2. B. Th

e mean does not change. C. The mean decreases by 0.25. D. The mean increases by 1.

Mathematics
1 answer:
4vir4ik [10]3 years ago
7 0

Answer: B : Mean Does Not change

Step-by-step explanation:

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Exhibit 15-2A regression model between sales (y in $1000s), unit price (x1 in dollars) and television advertisement (x2 in dolla
Semmy [17]

Answer:

Sales are expected to increase positively.

Step-by-step explanation:

The model is y =7-3*X1+5*X2

Here, y is the depended variable and X1 and X2 are independent variable.  

Holding the unit price constant X2 (television advertisement) is increase by $1 dollar

SSR= 3500

SSE=1500

So, TSS = SSR+SSE = (3500+1500) = 5000

Now r^2= 1 - (SSR/TSS) = 1 - (3,500/5,000) = 1 - 0.70 = 0.30

So, the sample correlation coefficient (r) = (0.3)^(1/2) = 0.547

We can conclude that sample correlation indicates a strong positive relationship.

7 0
3 years ago
Answer the following equations:
Andrew [12]

Step-by-step explanation:

3(t+5) = 9

3t+15 = 9

3t = -6

t = -2

2(f-7) = -10

2f - 14 = -10

2f = 4

f = 2

-(c - 9) = 4

-c + 9 = 4

-c = -5

c = 5

-6(2t + 8) = -84

-12t - 48 = -84

-12t = -36

12t = 36

t = 3

-10 (s + 2) = -57

-10s - 20 = -57

-10s = -37

s = 3.7

7(3w + 8)/3 = -9

By cross multiplication,

7(3w + 8) = -27

21w + 56 = -27

21w = -83

w = -3.95

35/5 = (F - 32)/9

7 = (F - 32)/9

By cross multiplication,

63 = F - 32

63 + 32 = F

95 = F

<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>.</em>

7 0
2 years ago
Expand the polynomial and simplify: (4xy− 1 8 y^2)^2
Vinvika [58]

Answer: 4y^{2}(2x-9y)^{2}

Step-by-step explanation:

We have the following polynomial:

(4xy-18y^{2})^{2}

This is a polynomial of the form (a-b)^{2}=a^{2}-2ab+b^{2}. Following this rule to expand it, we have:

(4xy)^{2}-2(4xy)(18y^{2})+(18y^{2})^{2}

16x^{2}y^{2}-144xy^{3}+324y^{4}

Applying common factor 4y^{2}:

4y^{2}(4x^{2}-36xy+81y^{2})

Note the polynomial inside the parenthesis is a perfect square trinomial, which can be factored to(2x-9y)^{2}. Hence, the final simplification is:

4y^{2}(2x-9y)^{2}

3 0
3 years ago
Use the distributive property to multiply, combine like terms &amp; find the equations
kenny6666 [7]

Answer:

32+160

Step-by-step explanation:

3 0
2 years ago
Help me work this out I’m having trouble
Alborosie

The variable 'T' equals -20.

6 0
3 years ago
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