-9. b = 45 pls help

Answer:

a) 0.0214 = 2.14% probability that none of the people are Independent.

b) 0.8516 = 85.16% probability that fewer than 6 are Independent.

c) 0.8914 = 89.14% probability that more than 2 people are Independent.

Step-by-step explanation:

For each people, there are only two possible outcomes. Either they are independent, or they are not. For each person asked, the probability of them being Independent voters is the same. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

It is believed that 11% of voters are Independent.

This means that [tex]p = 0.11[/tex]

A survey asked 33 people to identify themselves as Democrat, Republican, or Independent.

This means that [tex]n = 33[/tex]

A. What is the probability that none of the people are Independent?

This is P(X = 0). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{33,0}.(0.11)^{0}.(0.89)^{33} = 0.0214[/tex]

0.0214 = 2.14% probability that none of the people are Independent.

B. What is the probability that fewer than 6 are Independent?

This is

[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{33,0}.(0.11)^{0}.(0.89)^{33} = 0.0214[/tex]

[tex]P(X = 1) = C_{33,1}.(0.11)^{1}.(0.89)^{32} = 0.0872[/tex]

[tex]P(X = 2) = C_{33,2}.(0.11)^{2}.(0.89)^{31} = 0.1724[/tex]

[tex]P(X = 3) = C_{33,3}.(0.11)^{3}.(0.89)^{30} = 0.2202[/tex]

[tex]P(X = 4) = C_{33,4}.(0.11)^{4}.(0.89)^{29} = 0.2041[/tex]

[tex]P(X = 5) = C_{33,5}.(0.11)^{5}.(0.89)^{28} = 0.1463[/tex]

[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.0214 + 0.0872 + 0.1724 + 0.2202 + 0.2041 + 0.1463 = 0.8516[/tex]

0.8516 = 85.16% probability that fewer than 6 are Independent.

C. What is the probability that more than 2 people are Independent?

This is:

[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]

In which

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{33,0}.(0.11)^{0}.(0.89)^{33} = 0.0214[/tex]

[tex]P(X = 1) = C_{33,1}.(0.11)^{1}.(0.89)^{32} = 0.0872[/tex]

[tex]P(X < 2) = 0.0214 + 0.0872 = 0.1086[/tex]

[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.1086 = 0.8914[/tex]

0.8914 = 89.14% probability that more than 2 people are Independent.

Answer:

4

Step-by-step explanation:

Answer: x = -y+28

Step-by-step explanation:

Answer:

−16x+53

Step-by-step explanation:

Distribute

14−5(6−7)+18  

↓

14−30+35+18

Add

14−30+35+18

↓

14−30+53

Combine like terms

14−30+53

↓

−16+53

Answer:

The answer would be 396 if it's plus a tip

Answer:

Quadrant 111 good luck.

Answer:

36 in

Step-by-step explanation:

7+7+11+11= 36

Answer:

36 inches

Step-by-step explanation:

2 7inch sides plus 2 11 inch sides

2x7= 14

2x11= 22

14+22= 36 inches

Answer:

I think the answer is 19

Step-by-step explanation:

Answer:

d = 3x²+ 4x - 7

C'est la réponse j'espère que ça aide.

Francia está más lejos de aqi

Answer:

2

Step-by-step explanation:

multiply and divide

-2x6=-12

add and subtract

-12+14=2

so the answer would be 2.

i can explain better if you need me to.

Answer:

Deal B is better

Step-by-step explanation:

over a year in payment Deal b will be less

Answer:

1/4/2=1/8 1/4/3=1/12

"The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed."

Answer:

1/8 ; 1/12

Step-by-step explanation:

1/4 / 2 = 1/8

1/4 / 3 = 1/12

Answer:

measure major arc GE = measure minor arc GC + measure minor arc FE

Step-by-step explanation:

All of the other options are applicable except for Option 1

=> Major Arc GE is not equal to Minor Arc GC + Minor Arc FE

=> Rest of the options are all correct with respect to the circle.

Answer:

A

Step-by-step explanation:

Answer:

-7/10

Step-by-step explanation:

= 4/10 - 11/10

= (4-11)/10

= -7/10

Answer:

9 x 2 + 7x

18 + 7x - 6

18 - 6 = 12

12 + 7x

Is your simplified expression

Answer:

12 + 7x

Step-by-step explanation: there

Answer:

AFSGDZHFjxgASZtrnzxm

Step-by-step explanation:

safDGfhzgj

Answer:

455g

Step-by-step explanation:

The area of the largest squares that will fit on it is 441 square meters.

The greatest number that can divide the numbers in equal parts.

It is called as greatest common factor.

Given:

An area of land measures 735 meters by 756 meters.

That means,

area of land = 735 x 756

area of land = 555660.

It is to be divided up into square plots of equal size.

HCF of (735, 756),

= 21

Now, the area of the largest square,

= (a)², where a is the side of the square.

That means,

A = 21 x 21

A = 441 square meters.

Therefore, the required area is 441 square meters.

To learn more about the greatest common factor;

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Answer: The answer is: 6

Step-by-step explanation: I have my ways ;>

Have a nice day!

-Sunny

Answer:

25%

Step-by-step explanation:

Given data

Cost of ride= $16

Amount paid= $20

Change= $4

Hence the percent of the tip is

=4/16*100

=0.25*100

=25%

Hence the percentage of the tip is 25%

Answer: The answer is 4.5

Answer:

B. 4.5 miles per hour

Step-by-step explanation:

look at the graph and see where the line hits 1(time in hours) as you can see, the line hits in between 3 and 6, so the most reasonable answer would be 4.5. this doesn't work for all answers, but it seems to work for this one. I hope that helps you!

Answer:

what is question I did see

Answer:

The most kits she can create is 6 with 5 sedimentary and 7 metamorphic

Step-by-step explanation:

Hope this helped, have a blessed day

Answer:

∠9 + ∠10 = 135°      combined, they are alternate equal to ∠2

∠1 =45°                    it is supplementary to ∠2

∠6 = 45°                  it is corresponding congruent to ∠8 which is alternate

                               equal to ∠1  

∠4 + ∠5 = 135°        combined, they are corresponding congruent to ∠2  

The measure of the angles ∠1, ∠6, ∠4, ∠5, ∠9, and ∠10 will be 45°, 45°, 45°, 90°, 45°, and 90°, respectively.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Corresponding angle - If two lines are parallel then the third line. The corresponding angles are equal angles.

Vertically opposite angle - When two lines intersect, then their opposite angles are equal.

Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.

All the angles are mentioned on the diagram.

The measure of the angles ∠1, ∠6, ∠4, ∠5, ∠9, and ∠10 will be 45°, 45°, 45°, 90°, 45°, and 90°, respectively.

More about the angled link is given below.

https://brainly.com/question/15767203

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Answer:

strength, availability, preference, and cost

Step-by-step explanation:

Stability, purpose, texture, appearance, structure, and size.

Answer:

2/5; 1/2; 2/3; 14/10; 2/6

Step-by-step explanation:

When finding equivalent fractions, multiply or divide both the numerator and denominator by the same number.

4/10 = 2/5 because 4÷2=2 and 10÷2=5

The same thing has been done to both the numerator and denominator (in this case they have both been divided by 2)

Answer:

The answer is D

[tex] {x}^{2} + 6x + 9 = 0 \\ x = - 3[/tex]

That's the only equation will get us one point

Answer:

y = 2x + 5

Step-by-step explanation:

Slope intercept form is y = mx + b

m = slope

b = y - intercept

Substitute and you get: y = 2x + 5

Answer:

D. y = -1/4x + 3

Step-by-step explanation:

If the line is perpendicular, it will have a opposite reciprocal slope.

So, the slope will be -1/4.

Plug in this slope and the given point into y = mx + b, and solve for b:

y = mx + b

-6 = -1/4(12) + b

-6 = -3 + b

-3 = b

Plug in the slope and y intercept into y = mx + b

y = -1/4x - 3

So, the correct answer is D. y = -1/4x + 3

Answer:

D. y = -1/4x + 3

Step-by-step explanation:

Because it is the "Correct Answer"

Answer:5/12

Step-by-step explanation:

Responder:

360 m²

Explicación paso a paso:

Área de la finca = 576 m²

Porción de café =

Ración de naranja = 3/8

Español

Área de la granja de naranjos:

3/8 * área de la finca

3/8 * 576m²

= 216 m²

Dado que el resto se utiliza para el café;

Área utilizada para café;

Área total: área utilizada para naranja

576m² - 216m²

= 360 m²