A poll is given, showing 60% are in favor of a new building project. If 9 people are chosen at random, what is the probability that exactly 4 of them favor the new building project?

Answers

Answer 1

Answer:

The probability that exactly 4 are in favor the new building project is 0.1672.

Step-by-step explanation:

Let X denote the number of people who are in favor of a new building project.

The proportion of people who are in favor of a new building project is, p = 0.60.

A random sample of n = 9 people are chosen.

Every person has independent opinion about the new building project.

Thus, the random variable X follows a binomial distribution with parameters n = 9 and p = 0.60.

Compute the probability that exactly 4 are in favor the new building project as follows:

[tex]P(X=4)={9\choose 4}(0.60)^{4}(1-0.60)^{9-4}\\\\=126\times 0.1296\times 0.01024\\\\=0.167215104\\\\\approx 0.1672[/tex]

Thus, the probability that exactly 4 are in favor the new building project is 0.1672.


Related Questions

41 divide by 278.8 hi my name chavoria

Answers

If you divide 41 by 278.8 it equals 0.147058823529412


I believe u might of meant 278.8 divided by 41 which equals 6.8

What is the inequality of y-2x<=-3

Answers

y>= 2x-3
In inequalities when you are moving a negative, you flip the sign.

Examine circle O, where chords AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ are congruent.

Point P lies on AB and point Q lies on CD.
Angles APO and DQO are right angles.

The diagram as described in the problem.

Which congruence statement is true?

A.) QD≅QO
B.) OP≅AB
C.) CD≅AP
D.) OP≅OQ

Answers

The answer is D.) OP≅OQ

I hope this is the right graph

The answer is D hope this helps

evaluate the expression for x = 3 y= 1/3 and z= 5. 12 x - 3y / 4 x - Z​

Answers

Answer:

5

Step-by-step explanation:

12 x - 3y / 4 x - Z

=12×3-3×1/3÷4×3-5

=36-1/12-5

=35/7

=5

So the final answer is 5.

(39×5) to siplifiy please help

Answers

Answer:

195

Step-by-step explanation:

you just muliply

Answer:

The answer is 175! :)

I recommend searching or creating a times table for yourself, they are incredibly handy! Easy to print off or write down. :))

Step-by-step explanation:

Guided Practice
CPCTC
Given
KGK
H is the midpoint of GK
Prove:
Side FG - Side JK
Statement
Reason
es

Answers

5 is it I think this crazy

The graph shows the rate at which water is leaking from a tank. The slope of the line gives the leaking rate in gallons per minute.

Answers

Answer:

the rise is 6 and the run is 7.  the rate of leaking per minunte is about .8  gallons per minute

Step-by-step explanation:

i think its right this time

A rectangular pool has a length of 200 ft. You're building a model. Using a scale
factor of 1725, what is the scale length of your model? *

Answers

Answer:

1.4 inches.

Step-by-step explanation:

Given that the length of the pool = 200 ft.

Scale factor = 1725.

As,

[tex]\text{Scale factor }=\frac{\text{Original length}}{\text{Scaled length}}[/tex]

So,

[tex]\text{Scaled length} = \frac{\text{Original length}}{\text{Scale factor}}[/tex]

By using the given values, we have

{Scaled length} [tex]= \frac{200}{1725} ft.=0.116 ft.[/tex]

As 1 foot = 12 inch,

So, scaled length = 0.116 x 12 = 1.4 inches.

Hence, the scale length of the model = 1.4 inches.

The length of a rectangle is 3 more than 3 times its width. The perimeter of the rectangle is 174 inches. What is the length of the rectangle?

Answers

Answer:

Sorry I cant help

Step-by-step explanation:

I WILL GIVE BRAINLIEST ONLY IF YOU ANSWER WELL
Which expression uses the commutative property to make it easier to evaluate 3/5·1/4·25
A.25·4·3/5
B.5/3·25·1/4
C.3\5·25·1\4
D.3/5·1/25·1/4​

Answers

Answer:

I dont know im in middle school can you please giva me one i have to get my grades up

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

3

5

(1)

4

(25)

=

3

5

4

(25)

=

3

20

(25)

=

15

4

A linear function contains the following points. (-2,8) (0,6) What are the slope and y-intercept of this function?​

Answers

Answer:

slope= -1

y-intercept is 6

Step-by-step explanation:

slope = y2-y1/ x2-x1

slope = 6-8/ 0-(-2) = -1

y-intercept is 6 because of (0,6), where the points cross y-axis

Use the equation m=y2-y1/x2-x1 to find the slope
6-8/0-(-2)
-2/2
M=-1
Plug inyour slope one set of coordinates into y=mx+b. I’ll use the ordered pair (0,6)
6=-1(0)+b
6=b
Equation: y=-x+6

Divide. Express your answer in simplest form. ○14 ○ 49 ○98 ○28​

Answers

Answer: 49

see below for work

Answer:

gang gang

Step-by-step explanation:

Let a function y represent the water level in a harbor measured in meters, and let x represent the number of hours since high tide. At time x = 0, the water level is 19.5 meters (a maximum). At time x = 6.26 hours, the water level is 10.5 meters (a minimum). The period of the function is 12.5 hours.


After how many hours is the water expected to reach a depth of 17 meters for the first time? Round to the nearest tenth of an hour.


A 2.2 hours

B 6.3 hours

C 12.1 hours

D 12.5 hours

Answers

Answer:

A 2.2

Step-by-step explanation:

For which value of p will the equation 6x – 5 = 6x + p have an infinite number of solutions?
A. 5
B. 0
C. -10
D. -5

Answers

Answer:

the answer is b

Step-by-step explanation:

Manny must choose between a pack of four 6.5-ounce containers of yogurt for $3.61 or three 8-ounce containers at $1.27 each. Which is the better buy? Complete the explanation. If necessary, round to the nearest cent.

Answers

Answer: Three-8 ounce containers

Step-by-step explanation: 3 x 1.29 divided by 0.6= $6.45 for three 8-ounce containers

4 x 3.77 divided by 0.6= $15.08

-3a - 4(a - 6) = 24 - 7a

Solve the equation

Thanks

Answers

-3a-4(a-6)=24-7a

-3a-4a+24=24-7a

-7a+24=24-7a

-7a+24=-7a+24

-7a+24-24=-7a+24-24

Simplify

Subtract the numbers

Subtract the numbers

−7a=-7a

Add 7a to both sides of the equation

-7a+7a =-7a+7a

Simplify

Combine like terms

Combine like terms

0=0

answer is 0=0

Please answer i wanna get this over with h ^-2 / h ^4

Answers

Answer:

= h^-6

Step-by-step explanation:

When dividing powers you subtract them (indices rules)

--> -2 - 4 = -6

Hope this helps, please mark as brainliest

Sleep habits of New Yorkers. New York is known as the city that never sleeps". A random sample of 25 New Yorkers were asked how much sleep they get per night. Statistical summaries of these data are shown below. The point estimate suggests New Yorkers sleep less than 8 hours a night on average. Is the result statistically signicant? n x s min max25 7.73 0.77 6.17 9.78(a) Write the hypotheses in symbols and in words.(b) Check conditions, then calculate the test statistic, T, and the associated degrees of freedom.(c) Find and interpret the p-value in this context. Drawing a picture may be helpful.(d) What is the conclusion of the hypothesis test?(e) If you were to construct a 90% condence interval that corresponded to this hypothesis test, would you expect 8 hours to be in the interval?

Answers

Step-by-step explanation:

1.

the null hypothesis:

H0: u = 8 hours ( new Yorkers sleep for 8 hours)

The alternate hypothesis;

H1: u ≠ 8 hours ( new Yorkers sleep less than 8 hours)

b.

test statistic

t = (barX - u)/s/√n

= 7.73-8/0.77/√25

= -1.7532

degree of freedom = n-1

= 25-1 = 24

c.

p(value)

= p(t < -1.7532)

= 0.046

obviously we can see that the p value is less than 0.05 alpha level so we reject the null hypothesis.

d

The data gives strong evidence that new Yorkers sleep less than 8 hours on average every night.

e.

at 90% level of confidence

we have

7.73-0.26334, 7.73+0.26334

= 7.466, 7.993

please check attachment

thank you!

Find the missing measure and write your solution on the blank provided

Answers

Answer:

5: c=65  d=125  e=60

6: c= 58 d= 121 e=63

7. a=55 b=64 c=61

8. a=61 b=55 c=64

Step-by-step explanation: :)

5(x+2) - 3 = 2x + 7 + 3x *
One Solution
No Solution
Infinitely Many Solutions

5x + 27x - 10 = 8(4x +10)
One Solution
No Solution
Infinitely Many Solutions

Answers

Answer:

First we must solve them both to determine,

5(x+2)-3=2x+7+3x
5x+10-3=5x+7
5x+7=5x+7

The statement is True or has Infinitely Many Solutions.

5x+27x-10=8(4x+10)
32x-10=32x+80
-10=80

The statement is False or has No Solution.

Can anyone help me with this i need help quick

Answers

Answer:

C

Step-by-step explanation:

y=mx+n m is slope if slopes are perpendicular m1.m2=-1

(2/3) . (-3/2) = -1

m1=2/3

m2=-3/2

y=(2/3)x-3 m=2/3 n= -3

y=(-3/2)x+2   m = -3/2 n = 2

Reduce the fraction and find the domain.
[tex]\frac{a(x-2y)}{b(2y-x)}[/tex]

Thanks!

Answers

Answer:

-a/b

Step-by-step explanation:

a(x - 2y)/b(2y - x) =            ⇒ consider x - 2y = - (2y - x)-a(2y - x)/b(2y - x) =-a/b

PLEASE HELP!!!!!
What is the result when the number 59 is decreased by 7%?

Answers

Answer:

= 59 - (59*0.07)

= 59 - 4.13

= 54.87

Answer:

The result would be 54.87

The proportion of observations from a standard Normal distribution that take values larger than -0.75 is about A) 0.2266 B) 0.7704 C) 0.7734 D) 0.7764 E) 0.8023

Answers

Answer:

Option C: 0.7734

Step-by-step explanation:

From z-distribution table attached,

P(Z ≤ -0.75) = 0.2266

However, we are looking for proportion of observations from a standard Normal distribution that take values larger than -0.75.

Thus;

P(Z > -0.75) = P(Z ≤ 0.75) = 1 - 0.2266

P(Z > -0.75) = 0.7734

Option C is the correct answer.


What is the value of 15/2+I?

Answers

Answer:

First, make the denominators

15/2+2/2

Then, add

17/2

If you want it in decimal points

8.5

Step-by-step explanation:

I hope I explained well, please give me brainliest

First divide 15/2= 7.5 and then add 7.5 with the 1 = 8.5
If you want a fraction just remove the point like this
85 and divide by 10
85= 17/2.
10
Hope that helps :D

Please help & thank you.

Answers

Answer:

2). 79°; 3). 65°; 4). 45°; 5) 73°

Step-by-step explanation:

m∠4 = 180° - (70° + 65°) = 45°

m∠3 = 180° - (45° + 70°) = 65°

m∠2 + m∠3 = 180° - 36° = 144°

m∠2 = 144° - 65° = 79°

m∠5 = 118° - m∠4 = 118° - 45° = 73°

Maurice made a model of the steel tabletop his model measures 7 inches by 13 inches is the model simular to the original

Answers

The first example has students building upon the previous lesson by applying the scale factor to find missing dimensions. This leads into a discussion of whether this method is the most efficient and whether they could find another approach that would be simpler, as demonstrated in Example 2. Guide students to record responses and additional work in their student materials.
§ How can we use the scale factor to write an equation relating the scale drawing lengths to the actual lengths?
!
ú Thescalefactoristheconstantofproportionality,ortheintheequation=or=!oreven=
MP.2 ! whereistheactuallength,isthescaledrawinglength,andisthevalueoftheratioofthe drawing length to the corresponding actual length.
§ How can we use the scale factor to determine the actual measurements?
ú Divideeachdrawinglength,,bythescalefactor,,tofindtheactualmeasurement,x.Thisis
! illustrated by the equation = !.
§ How can we reconsider finding an actual length without dividing?
ú We can let the scale drawing be the first image and the actual picture be the second image. We can calculate the scale factor that relates the given scale drawing length, , to the actual length,. If the actual picture is an enlargement from the scale drawing, then the scale factor is greater than one or
> 1. If the actual picture is a reduction from the scale drawing, then the scale factor is less than one or < 1.
Scaffolding:
A reduction has a scale factor less than 1, and an enlargement has a scale factor greater than 1.
Lesson 18: Computing Actual Lengths from a Scale Drawing.

Solve the following expression: (9 x 10) - (30 + 30). Show all steps taken.

Answers

Answer:

First multiply each brackets

90-60

30

Step-by-step explanation:

Answer:

9 x 3= 27 and 30 + 30=  60.. so 60- 27= 33, but if you want to do 27- 30.. it would be -33.

Step-by-step explanation:

Hope that answers your question!

Which numbers should go in the shaded overlap?
Factors of 30
Factors of 20

Answers

Both of these numbers have 2 and 5 as their factors

Steps for solving rational equations

Answers

Answer:

1. Find the common denominator.

2. Multiply everything by the common denominator.

3. Simplify.

4. Check the answer(s) to make sure there isn't an extraneous solution.

Step-by-step explanation:

Hope this helps!

The steps for solving rational equations will be to take common factors and simplify the equation.

What are the steps for solving rational equations?

A rational equation, abbreviated as P(x) / Q(x), is one that has at least a single fraction with polynomials as the numerator and denominator. Q(x) / P(x). These integers might be on either end of the equation or sometimes both.

The steps are given below.

Discover the common factor.Divide everything by the lowest common factor.Simplify the equation.Verify the response(s) to verify sure there isn't a redundant response.

The steps for solving rational equations will be to take common factors and simplify the equation.

More about the steps for solving rational equations link is given below.

https://brainly.com/question/27230278

#SPJ6

Other Questions
(PLEASE ANSWER)You have 2 different savings accounts. For Account A, the simple interest earned after 3 months is $0.90. For Account B, the simple interest earned after 18 months is $22.50. If the interest rate is 3.6%for Account A and 2.5% for Account B, how much is the principal in each account? Which account earned you the most interest the first month? Explain your answer. Account A has a principal of $BLANK. (Round to the nearest dollar as needed.) Which one? 1, 2 , 3 , 4 , or 5 ? Select all What is an Umbrella Policy? How does it work? How might a supportive person change and impact someones life? ________ is a crime in which an imposter obtains key pieces of personal information to impersonate someone else.A) Identity theftB) SpoofingC) Social engineeringD) Evil twins The Aztec Empire was located in central and southern Columbia.TrueFalse The charity gala costs a flat fee of $394, plus an additional $6 per attendee. How many attendees can there be, at most, if the budget for the charity gala is $508? Help me please!On the earth, the gravitational field strength is 10 N/kg. On the Moon, the gravitational field strength is 1.6 N/kg.If an object has a weight of 50 N on earth, what is its weight on the Moon? A: 1.6 NB: 5.0 NC: 8.0 ND: 80 N Which is a valid proportion? Question 1 of 5In which way are electromagnetic waves different from mechanical waves? I will give brainliest if you get it right and 1st please answer this question?! Let f(x) = 6x - 5 and g(x) = 8x, for x E R.Write down g(2).Find (fog)(x) Choose foods that limit the intake of: (4 points) a: saturated fats and trans fats b: added sugars and salt c: alcohol d: all of the above Replace each blank with the correct direct object pronoun: lo, la, los or las. Note: The direct object pronouns are placed before the verb.Yo tengo la computadora. Yo la tengo.Yo como la pizza. Yo _______ como.Nosotros bebemos el caf. Nosotros _______ bebemos.T tienes las bicicletas? T _______ tienes?Ellos miran la televisin. Ellos _______ miran.Yo compro los zapatos. Yo _______ compro. How did the Roman Catholic Church provide educational opportunities for some during theMiddle Ages in Europe? 1) What is the unit rate for a train that travels 10.5 kilometers in 8 minutes?O A. 1.75O B.0.762C. 84D. 840 How are the toes of a hen different from that of an eagle? it is impossible for humans to be at the bottom of the food chain What is the effect of the presence of double bonds in plant lipids?A) the double bonds do not affect the properties of plant lipidsB)the double bonds cause plant lipids to freeze more quicklyC)the tails of plant lipids cannot pack as tightly together as animal ones Write a story about 150-200 words , starting with the line given below. also give a suitable title to the story. "how foolish i was to have believed that young woman........." ( the story should carry a moral and should be in past tense)