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Luba_88 [7]
3 years ago
14

Help mee pleasee.....

Mathematics
1 answer:
julsineya [31]3 years ago
6 0

Answer:

  1. x = 18
  2. 45°

Step-by-step explanation:

First part:

  1. Write out an equation to represent the image: 2x + 3x = 90
  2. Combine like terms: 5x = 90
  3. Divide each side by 5 to cancel out the 5 next to x. It should now look like this: x = 18

Second part:

  1. 90 ÷ 2 = 45°

I hope this helps!

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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
Paulina swims 5 miles down a creek with a current for 2 hours. It takes her 4
Westkost [7]

Answer: her swimming speed = 1.875 mph

Speed of current = 0.625 mph

Step-by-step explanation:

Let x represent her swimming speed.

Let y represent the speed of the current.

Paulina swims 5 miles down a creek with a current for 2 hours. Since this is faster, it means that she swam with the current. Her total speed would be (x + y) mph

Distance = speed × time

Therefore,

5 = 2(x + y)

dividing both sides by 2, it becomes

2.5 = x + y- - - - - - -1

It takes her 4 hours to swim the same 5 miles back to her original destination against the

same current. It means that her total speed was (x - y) mph

Distance covered would be

5 = 4(x - y)

Dividing both sides by 4, it becomes

1.25 = x - y- - - - - - - 2

Adding equation 1 to equation 2, it becomes

3.75 = 2x

x = 3.75/2

x = 1.875

Substituting x = 1.875 into equation 1, it becomes

2.5 = 1.875 + y

y = 2.5 - 1.875

y = 0.625

4 0
3 years ago
What is the equation, in slope-intercept form, of the line that passes through (0, 3) and has a slope of −6??
Irina18 [472]
I hope this helps you

4 0
3 years ago
Carlos drunk 2740 milliliters after football practice how much liters does he drink
Anni [7]
2.74 liters since 1000mL is a liter.
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Solution:
1x +2x -7 =0

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3 years ago
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