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deff fn [24]
3 years ago
10

In a recent survey, 73% of the community favored building a police substation in their neighborhood. If 14 citizens are chosen,

find the probability that exactly 8 of them favor the building of the police substation
Mathematics
1 answer:
Archy [21]3 years ago
4 0

Answer:

So, the probability is P=0.094.

Step-by-step explanation:

We know that in a recent survey, 73% of the community favored building a police substation in their neighborhood.

We get that p=0.73 and q=1-0.73=0.27.  

We calculate the probability that exactly 8 of them favor the building of the police substation, if 14 citizens are chosen.

We get that n=14 and k=8.

We calculate the probability:

P=C_k^n\cdot p^k\cdot q^{n-k}\\\\P=C_8^{14}\cdot 0.73^8\cdot 0.27^6\\\\P=3003\cdot 0.00003124\\\\P=0.094\\

So, the probability is P=0.094.

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Can somebody please help me answer this
ICE Princess25 [194]
Hello!

You solve this algebraically.

2(x - 3) + 4 = 2x + 3x - 5

Distribute the 2

2x - 6 + 4 = 2x + 3x - 5

Combine like terms

2x - 2 = 5x - 5

Subtract 2x from both sides

-2 = 3x - 5

Add 5 to both sides

3 = 3x

Divide both sides by 3

x = 1

The answer is D)1

Hope this helps!
6 0
2 years ago
Read 2 more answers
PLEASE HELP MEEE WILL GIVE BRAINLIEST!!!!
just olya [345]

                                                           Part A)

Given

  • Slope m = 6
  • Point (7, 2)

Using the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

where

m is the slope of the line

(x₁, y₁) is the point

In our case:

  • m = 6
  • (x₁, y₁) = (7, 2)

substituting the values m = 6 and the point (x₁, y₁) = (7, 2) in the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

y - 2 = 6(x-7)

Therefore, the equation in​ point-slope form for the line having the slope m = 6 and containing the points (7,2) will be:

y - 2 = 6(x-7)

                                                        Part B)

Given

  • Slope m = -3
  • Point (3, 8)

Using the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

where

m is the slope of the line

(x₁, y₁) is the point

In our case:

  • m = -3
  • (x₁, y₁) = (3, 8)

substituting the values m = -3 and the point (x₁, y₁) = (3, 8) in the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

y - 8 = -3(x-3)

Therefore, the equation in​ point-slope form for the line having the slope m = -3 and containing the points (3, 8) will be:

y - 8 = -3(x-3)        

3 0
2 years ago
327 - 184 --------- ?
Alchen [17]
327 - 184 = 143
.....
3 0
3 years ago
Which fraction is equivalent to<br> -(7/8)?
allochka39001 [22]

Answer:

35

Step-by-step explanation:

So from 7/8 = 35/40, 35 is the answer.

7 0
3 years ago
✎﹏Question~
Varvara68 [4.7K]

Answer:

Sol: In this question, firstly we have to make the first bracket as a complete square of the second bracket. This we can by adding 2.x.1/x which is equivalent to 2. Then the equation becomes:

6(x2 + 1/x2 +2) – 5(x + 1/x) = 50 { 38 + 6*2)

⇒ 6(x2 + 1/x2 +2) – 5(x + 1/x) – 50 = 0

Now put x + 1/x = y

⇒ 6y2 -5y -50 = 0

⇒ (2y +5)(3y-10)= 0

⇒ y=-5/2 or 10/3

As x is positive therefore, x + 1/x =10/3

On solving further you will get as x=3 or 1/3

7 0
2 years ago
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