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torisob [31]
3 years ago
8

The system of equations is coincident. What are the missing values?

Mathematics
1 answer:
FrozenT [24]3 years ago
7 0
\rm x+3y=5|*4 \\ \\ 4*x+4*3y=4*5 \\ \\ \boxed{\rm 4x+12y=20}
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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
7. Algebra
Dafna11 [192]

Answer:

M=6

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
The next model of a sports car will cost 6.6% more than the current model. The current model costs $48,000. How much will the pr
KonstantinChe [14]

Answer:

It's the percent word problem...

So, first you need to find how much will the price increase:

1)6.6% of 48,000$=6.6÷100=0.066×48,000=3168$

3168$- is the price that will increase.

2)48,000+3168=51,168 $- the next price

Answer: the price of the next model will be 51,168 $.

Good luck!

Intelligent Muslim,

From Uzbekistan.

8 0
3 years ago
Sam kept track of the number of problems he was assigned for his math homework on the box plot.
yulyashka [42]

Answer:

Statement A is correct about Sam's box and whisker plot.

Step-by-step explanation:

We have been given a box plot and we are asked to find out true statement according to the box plot.

Since we know data represented by box plot is divided in four equal parts.

Upon looking at our box plot we can see that our data is symmetric. It's median is 15, which means half the math assignments have less than 15 problems and half of the math assignments have more than 15 problems.

Interquartile range represents 50% values of data and it is the difference between upper quartile and lower quartile. IQR is not affected by outliers.

IQR=Q_3-Q_1

Upon substituting given values from box plot we get,

IQR=19-11=8

From IQR we can conclude that half of the assignments contained 15 problems or fewer.Therefore, option A is the correct choice.


4 0
3 years ago
Read 2 more answers
(-3) x (-5) = ? please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
seropon [69]
The answers 15 because we have two negatives it's always a positive and 3×5 is 15
5 0
3 years ago
Read 2 more answers
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