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Anton [14]
3 years ago
9

Identify the missing number. X^4 • X^? = X^5

Mathematics
1 answer:
MArishka [77]3 years ago
7 0

Answer:

? = 1

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
4 years ago
Find the value of x .
Stels [109]

Answer:

4x+2x=90

6x=90

x=15

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Find y and x intercept
Svetlanka [38]
-2x + 3y = 12
x intercept y = 0
-2x = 12
   x = -6

y intercept x = 0
3y = 12
  y = 4

answer
y intercept (0,4)
x intercept (-6,0)

3 0
3 years ago
Graph A line goes through the point (6,–2) and has a slope of –3. What is the value of a if the point (a,7) lies on the line?
3241004551 [841]

Answer:

The value of a is 3

Step-by-step explanation:

First you have to make an equation based on the point and slope that you were given. The formula for this is y-(y cordinate of point)=slope(x-x cordinate of slope)

y--2=-3(x-6), which simplifies to y+2=-3(x-6)

In (a,7), 7 is the y coordinate. We have to plug 7 in for the y in our equation.

7+2=-3(x-6),

Combine like terms on the left side to get to 9=-3(x-6)

Multiply out on the left to get 9=-3x+18

Subtract 18 from the left side to get -9=-3x

Divide both sides by negative 3 to get 3=x (remember x is a)

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3 years ago
10. Determine the measure of each segment. Select the statement that is true.
Pepsi [2]

its A.

Step-by-step explanation:

its B

6 0
2 years ago
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