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netineya [11]
3 years ago
12

A. g(x) = f(x)+5 B. g(x) = f(x+5) C. g(x) = f(x)-5 D. g(x) = f(x-5)

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

Answer:

<h2>         -3 and 2</h2>

Step-by-step explanation:

Te solutions of f(x) = g(x) are x-coordinates of points of intercept of the graphs.

Points of intercept are (-3, -8) and (2, -3)

So the solutions are:  -3  and  2

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Company F sells fabrics known as fat quarters, which are rectangles of fabric created by cutting a yard of fabric into four piec
jeka94

Answer:

a) Y 0 1 2

P(Y) 0.58 0.23 0.11

b) mean= 0.45, S.D= 0.6718

c) mean= 1.285, S.D= 8.74

Step-by-step explanation:

a) The following table shows the probability distribution of X:

X 0 1 2 3 4 or more

P(X) 0.58 0.23 0.11 0.05 0.03

Defect >2 = cannot be sold

Y = the number of defects on a fat quarter that can be sold by Company F.

Y = defect that can be sold

Y = Defect less or equal to 2 = 0,1,2

Probability distribution of the random variable Y:

Y 0 1 2

P(Y) 0.58 0.23 0.11

b) mean of Y (μ)

μ = Σ x*P(Y)

= (0*0.58) +(1*0.23)+(2*0.11)

= 0+0.23+0.22 = 0.45

Standard deviation of Y = σ

σ = Σ√(x-mean)^2*P(Y)

= Σ√[(x- μ )^2*P(Y)]

= √[(0-0.45)^2*0.58+ (1-0.45)^2*0.23 + (2-0.45)^2*0.11]

= √[0.11745 + 0.069575 +0.264275

= √(0.4513

σ = 0.6718

Company G:

σ for defect that be sold = 0.66

μ for defect that be sold = 0.40

Difference between μ of F and μ of G

= 0.45-0.40 = 0.05

Difference between σ of F and σ of G

= 0.67-0.66 = 0.01

Selling price of fat quarter without defect = $5

Discount per defect = $1.5

Selling price per defect = 5-1.5 = $3.5

Discount per 2 defect = $1.5*2 = $3

Selling price per defect = 5-3 = $2

Since defect to be sold cannot be greater than 2, let Y = 5,3,2

Probability distribution of the selling price Y:

Y 5 3 2

P(Y) 0.58 0.23 0.11

μ = (5*0.58) +(3.5*0.23)+(2*0.11)

μ = 2.9+0.805+0.22 =1.285

σ = Σ√[(x- μ )^2*P(Y)]

σ = √[(5-1.285)^2*0.58+ (3-1.285)^2*0.23 + (2-1.285)^2*0.11]

σ = 8.00+0.68+0.06 = 8.74

7 0
3 years ago
Y=1000x+b how do i solve for b?
Irina18 [472]

Answer:

put it into a graphing calculator, the point where the line intercepts the y-axis would be B

6 0
3 years ago
X = <img src="https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D" id="TexFormula1" title="\frac{2}{3}" alt="\frac{2}{3}" align="absmi
jok3333 [9.3K]

x = -15

Step-by-step explanation:

x =  \frac{2}{3} x - 5

Collect like terms and simplify

x -  \frac{2}{3} x =  - 5 \\  \frac{1}{3} x =  - 5

Cross multiply

x =  - 5 \times 3 \\  \\ x =  - 15

6 0
3 years ago
Formula to find the missing number Faces:15 vertices:15 edges:?
gtnhenbr [62]

Answer:

Step-by-step explanation:

Euler's formula is

V - E + F = 2

Givens

V = 15

E = 15

F = ?

Solution

15 - 15 + F = 2

F = 2

I'm not sure this makes sense, but it is what the formula gives you.

7 0
3 years ago
Simplify -12u + 11z <br><br> “Enter the original expression if it cannot be simplified”
jeka94

Answer:

-12u + 11z

Step-by-step explanation:

The above expression cannot be simplified, for:

1) There is no common variable (one being <em>u</em>, and the other being <em>z</em>).

2) There are no common factors in between 12 & 11)

 - Factors of 12: 1, 2, 3, 4, 6, 12

 - Factors of 11: 1, 11

~

6 0
3 years ago
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