An experiment started with 100 bacteria. They double in number every hour. Find the number of bacteria after 8 hours.

If the side lengths of a cube are 14 feet, what is the correct way to write the expression to represent the volume of the cube i

Lisa [10]

Remember Volume of a cube is V=s to the power 3. So in exponential form the answer to your question is V=(14 ft) to the power 3. Or without units. V=(14) to the power 3.

6 0

3 years ago

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

What is the remainder when x 3 − 7x + 5 is divided by x + 3 ?

klemol [59]

Step-by-step explanation:

check the image that is your answer

5 0

3 years ago

Please help, i don’t understand and it’s for a test

Blababa [14]

Answer: x = 20

Step-by-step explanation:

So the figures are the same, except the bigger one is bigger. It's equally bigger on all sides, so basically 6 * y = 15 to find what it is enlarged by. Then multiple 8 by y to find the missing length.

6*y = 15

/6

y = 2.5

8 * 2.5 = 20

We can also check this by:

4 * 2.5 = 10

6 * 2.5 = 15

8 * 2.5 = 20

6 0

3 years ago

Plsss help!!!!!!!!!!!!!!!

Ilia_Sergeevich [38]

Answer:

no

Step-by-step explanation:

3 0

3 years ago

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