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puteri [66]
3 years ago
10

Match each of the following with the equations below. Write the letter of the appropriate equation in the column beside each ite

m. A. y=0 B. y=-1/3x+1 C. x=3y+21 D. x-2y=-2

Mathematics
1 answer:
Mila [183]3 years ago
3 0

Answer: C

A

B

D

Step-by-step explanation:

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A smog alert has been called in a certain area of Los Angeles County in which there are 50 industrial rms. An inspector will vis
damaskus [11]

Answer:

Part (A) The required PMF is: P(X=x)=\frac{\binom{15}{x}\binom{50-15}{10-x}}{\binom{50}{10}}

Part (B) B(x;n,p)=\binom{10}{x}(0.3)^x(1-0.3)^{10-x}

Step-by-step explanation:

Consider the provided information.

There are 50 industrial rms. An inspector will visit 10 randomly selected rms to check for violations of regulations.

Part (A)

15 of the rms are actually violating at least one regulation.

Let X is the number of firms violate at least one regulation from 10 randomly selected rms to check for violations of regulations out of 50 firms of which 15 5 of the rms are actually violating.

Therefore, X\sim Hypergeom(n=10, M=15\ and\ N=50)

We need to determine probability mass function.

P(X=x)=Hyper(x; n=10, M=15, N=50)\\=\frac{\binom{15}{x}\binom{50-15}{10-x}}{\binom{50}{10}}

Hence, the required PMF is: P(X=x)=\frac{\binom{15}{x}\binom{50-15}{10-x}}{\binom{50}{10}}

Part (B)  If there are 500 rms in the area, of which 150 are in violation, approximate the pmf of part.

Here N=500 so find the probability of p as shown below:

p=\frac{150}{500} =0.3 and n=10

B(x;n,p)=B(x;10,0.3)\\=\binom{10}{x}(0.3)^x(1-0.3)^{10-x}

5 0
3 years ago
Graph the solution to the following system of inequalities.<br> y-2x-9<br> y&lt;2x+7
White raven [17]

Answer:

Tb bight by icing I jb Yves j by by by navy by iffy i by by by

7 0
3 years ago
If the measure of 5 is 63 degrees what is the measure of 3
finlep [7]
37.8 because you multiply 3 by 12.6 i got 12.6 by dividing 63 by 5
4 0
3 years ago
Which is the graph of the system of equations?<br> x + 2y = 2<br> 4x - y = 4
Sladkaya [172]
Solve for x for x: x+2y=2
x+2y +-2y=2+-2y (add -2y on both sides.)
x=-2y+2
Substitute : -2y+2 for x in
4x-y=4:
4(-2y+2)-y=4
-9y+8=4 Simplify both sides of the equation.
-9y+8+-8=4+-8 Add -8 to both sides.
-9y=-4
-9/-9=-4-9 Divide both sides by -9
y=4/9
Substitute 4/9 for y in
x=-2y+2
x=-2(4/9)+2
x=10/9
y=4/9,x=10/9




4 0
3 years ago
You are looking at a convention bid that requires 100,000 square feet of meeting space. You have one room at 200 ft x 200 ft, an
Alla [95]
The 2 rooms only add up to 45,000 square feet (150 x 150 x 2) and the larger room is only 40,000 square feet (200 x 200) so this only gives you 85,000 square feet (40,000 + 45,000) which is not enough for the 100,000.
7 0
3 years ago
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