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2 years ago

Which rule explains why these triangles are congruent?

Mathematics

1 answer:

Dima020 [189]2 years ago

8 0

Answer:

ASA

Step-by-step explanation:

ANGLE SIDE ANGLE

according to your option

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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

Pleaseee help this is urgent!!! I need it in English! Please show all the work ! 14 points

zzz [600]

Answer:

width = 40 feet, length = 90 feet

Step-by-step explanation:

length = 2w + 10

width = w

Perimeter = 260

Perimeter of rectangle = 2length + 2width

Sub the values into that equation:

260 = 2(2w + 10) + 2(w)

260 = 4w + 20 + 2w

260 = 6w + 20

260 - 20 = 6w

240 = 6w

w = 240/6

w = 40

So now we know the width of the garden is 40 feet.

To find the length, substitute the width into the length equation:

length = 2w + 10

length = 2(40) + 10

length = 90 feet

length = 90 feet, width = 40 feet

3 0

2 years ago

Question 11 of 20 : Select the best answer for the question. 11. Find the value of x in the equation 2(x – 3) + 5x = 5(2x + 6).

vaieri [72.5K]

It should be D. -2 Since the x Is subtracting from 5 over 3 and you need to do Inverse Operation making it Negative so yeah, -2

6 0

3 years ago

Read 2 more answers

Through: (-1,-1), perp.<br> to x=0

andriy [413]

Answer: negative 1 minus another negitive 1 give you zero/X

Step-by-step explanation:

7 0

3 years ago

A horizontal force of 20.8 N is applied to move a 425-kg cart a distance 0.636 m

juin [17]

A work applied on the cart = 20.8x0.636

3 0

2 years ago