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3 years ago

John took four tests.

Mathematics

2 answers:

Lapatulllka [165]3 years ago

5 0

the answer is 82.5 because 80x3 + 90= 330 the divide that by 4

KengaRu [80]3 years ago

5 0

Answer:42.5

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

What equation is graphed in this figure?

aniked [119]

Based on the graph, the slope is -3, and the y-intercept is 1. So your equation should be:

y = -3x + 1

The answer is C

y + 2 = -3(x - 1)

y + 2 = -3x + 3

y = -3x + 1

5 0

3 years ago

Read 2 more answers

what decimal point is between 1.5 and 1.7 and i know its 1.6 but on my homework it wont say 1.6 it says 1.625 , 1.25 , 1.75 , 1.

Eddi Din [679]

It doesn't matter what's between it as long as it is within that range, if that makes any sense.

1.25 isn't.
1.75 isn't.
1.83 isn't.

1.625 would be your answer. :)

6 0

3 years ago

Please help me with this

Anika [276]

Answer:

Just search from other websites

Step-by-step explanation:

easy

4 0

2 years ago

In a right triangle, one of the legs is 5 cm smaller than the hypotenuse, and the other leg is 10 cm smaller than the hypotenuse

nata0808 [166]

Answer:

25 cm.

Step-by-step explanation:

If the hypotenuse is x cm long the 2 legs are x-5 and x-10 cm long.

So by the Pythagoras theorem:

x^2 = (x - 5)^2 + (x - 10)^2

x^2 = x^2 - 10x + 25 + x^2 - 20x + 100

x^2 - 30x + 125 = 0

(x - 5)(x - 25) = 0

x = 5, 25

We can discard x = 5 because that would make the lengths of the legs negative so the hypotenuse = 25 cm long.

3 0

3 years ago