Looking for the answer to this

Answer:

0.9983 = 99.83% probability that a majority will favor the proposal.

Step-by-step explanation:

We use the normal approximation to the binomial to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

Suppose that 70% of the faculty favor the pass/fail proposal. Assuming 50 faculty members are interviewed.

This means, respectively, that [tex]p = 0.7, n = 50[/tex]

Mean and standard deviation:

[tex]\mu = E(X) = np = 50*0.7 = 35[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{50*0.7*0.3} = 3.24[/tex]

Probability that a majority (26 or more) will favor the proposal.

Using continuity correction, this is [tex]P(X \geq 26 - 0.5) = P(X \geq 25.5)[/tex], which is 1 subtracted by the pvalue of Z when X = 25.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{25.5 - 35}{3.24}[/tex]

[tex]Z = -2.93[/tex]

[tex]Z = -2.93[/tex] has a pvalue of 0.0017

1 - 0.0017 = 0.9983

0.9983 = 99.83% probability that a majority will favor the proposal.

Answer:

c = square of a2+b2

i think its correct ome

Answer:

Identify the range of the function shown in the graph.

Answer:

range=(10, 8, 6, 4, 2, 0, -2, -4, -6, -8, -10)

Answer: 9/12 ÷ 3/12 is 3.

Step-by-step explanation: Do the KFC.

K. Keep.

F. Flip the second term to 12/3.

C. Change the ÷ into ×. Then, solve.

9 x 12 is 108, and 3 x 12 is 36.

108 ÷ 36 = 3.

Answer:

12x^7+7x^6-10x^5

Step-by-step explanation:

(X^4)(12x³+15x²-8x²-10x)

(X^4)(12x³+7x²-10x)

12x^7+7x^6-10x^5

Answer:

increasing according to me

Step-by-step explanation:

..

Answer:

(1,2)

Step-by-step explanation:

Answer:

4*5*7=140 ways

Step-by-step explanation:

First he has to decide on a pair of pants and he has 4 different choices.

For each of those choices he has a choice of 7 different shirts, so that gives him 4 times 7 = 28 different pant/shirt combinations. (I hope none of the pants are striped and none of the shirts have polka-dots).

For each those 28 possibilities, he has 5 different ties he could select, so altogether he has 28 times 5 = 140 different outfits, and some of them may be acceptable to wear in public.

It is simply , 4*5*7=140 ways.

Answer is Option B) 50

9(6)-4

54-4

50

Answer:

46 pounds

Step-by-step explanation:

Answer:

21 pounds

Step-by-step explanation:

Answer:

B) Subtract 12-4 to calculate the range of this data set

Answer:

7 hours

So you so 642-425= 217, then you do 217/31= 7

your answer is 7

Answer:

Four-door sedan = 22

Two-door coupes = 6

Step-by-step explanation:

This is an algebra problem.

Let "x" represent number of four-door sedan,

"y" represent two-door coupe.

Since there are total of 28 autos on which film is applied, we have:

x + y = 28                                         Equation 1

y = 28 - x                                          Equation 2

Also provided,

Total revenue = $3,459.72

That means,

129.99x + 99.99y = 3,459.72          Equation 3

Putting value of "y" from Equation 2 in Equation 3 we have:

129.99x + 99.99(28 - x) = 3,459.72

129.99x + 2,799.72 - 99.99x = 3,459.72

30x = 660

x = [tex]\frac{660}{30} = 22[/tex]

Therefore, number of four door sedans = 22

Further y that is two door sedan = 28 - x = 28 - 22 = 6

Answer:

(25/5)/(35/5)

=> 5/7

(10/2)/(14/2)

=> 5/7

Hence both of the numbers simplify to 5/7

Hope it helps

Answer:

Step-by-step explanation:

J = 250 + 75t

A = 720 - 35t

250 + 75t = 720 - 35t

110t = 470

t = 47/11 weeks = 4.3 weeks

Answer:

30.5x1200=36600

r=el avion vuela a 36.600m de altura

Answer:

Your answer is 10

Step-by-step explanation:

The absolute value of |6| = 6

The absolute value of |-4| = 4

6 + 4 = 10, your answer!

Hope this helped :)

Answer:

10

Step-by-step explanation:

1.  I6I  +  I-4I

Everything inside the absolute value comes out positive. So

2. 6+4

Add numbers together

3.  10

Answer:

option A

Step-by-step explanation:

144 = 4 * 4 * 3 * 3 = 2 * 2 * 2 *2 * 3 * 3 = 2⁴* 3²

a¹² = a⁽³ˣ⁴⁾ = (a³)⁴

[tex]\sqrt[4]{144a^{12}b^{3}} =\sqrt[4]{2^{4}*3^{2}*(a^{3})^{4}*b^{3}}\\\\=2*a^{3}\sqrt[4]{3*3*b^{3}}\\\\=2a^{3}\sqrt[4]{9b^{3}}[/tex]

Answer:

Part A: Which family paid more for their house? And at what cost.

The Miller family

Part B: Which family’s home value is increasing at a faster rate?

The Adams family

Step-by-step explanation:

Answer:

1. 8.4 in 2. 33.6  

Step-by-step explanation:

Answer:  24 ???

Step-by-step explanation:

4 mins to run 5 ... so im guessing it goes by 5

5 = 4

10 = 8

15 = 12

20 = 16

25 = 20

30 = 24

I am not sure if its right but that what i think ( you can use a table btw one colom that says laps and starts with 5 then the other colom that says mins and starts with 4

Hope its right Good Luck have a good rest of your day

Answer:

a) [tex]P(t) = 11500 + 425t[/tex]

b) The slope is of 425 people, which is by how much the population increases each year.

c) The vertical intercept is of 11500 people, and it represents the population of Little Townville in the year 2000.

d) 17,875 people.

Step-by-step explanation:

A linear function that measures population after t years has the following format:

[tex]P(t) = P(0) + at[/tex]

In which P(0) is the vertical intercept, which represents the initial population, and a is the slope, which represents the yearly population.

a. Write a function for the population, P, in terms of the number of years since 2000.

The first step is finding the slope.

Finding the slope:

The slope is the change in the output divided by the change in the input, during a period of time.

The population of Little Townville in 2005 was 13,625 people. In 2009 the population grew to 15,325 people.

This means that in 2009 - 2005 = 4 years, the population increased by 15325 - 13625 = 1700.

So the slope is

[tex]a = \frac{1700}{4} = 425[/tex]

So

[tex]P(t) = P(0) + 425t[/tex]

Finding the initial population:

We want to find P(0), which is the population in 2000. The population of Little Townville in 2005 was 13,625 people, which means that [tex]P(5) = 13625[/tex]. So

[tex]P(t) = P(0) + 425t[/tex]

[tex]13625 = P(0) + 425*5[/tex]

[tex]P(0) = 13625 - 425*5[/tex]

[tex]P(0) = 11500[/tex]

So

[tex]P(t) = 11500 + 425t[/tex]

b. What is the slope of the function and what does it represent in the context of the problem. Include units.

The slope is of 425 people, which is by how much the population increases each year.

c. What is the vertical intercept of the function and what does it represent? Include units

The vertical intercept is of 11500 people, and it represents the population of Little Townville in the year 2000.

d. What do you believe the population was in 2015?

2015 is 2015 - 2000 = 15 years after 2000, so this is P(15).

[tex]P(15) = 11500 + 425*15 = 17875[/tex]

17,875 people.

Answer:

are you solving for x? and if you are solving for x it is x> -21/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

here you go

Answer:

It's D. 0.01

Step-by-step explanation:

Took the test

Step-by-step explanation:

volume of water flows through the pipe per second= π r² h = 22/7 × ( 3/4)² × 16

= 22/7 × 9/16 × 16

= 22/7 × 9

= 3.14 × 9 = 28.26 cm ³= 28.26/ 1000= 0.02826 litre

0.02826litre = 1 second

1 litre = 1 / 0.02826 = 100000/2826

= 35 .38 seconds

answer = 35.38 seconds

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you ☺️.

28) y + 2y + 1 + y + 2y + 1

29) y^2 + 4y + 2

30) The two expressions are equal because its the same question written in two different forms, one of the expression is written in an unsmplified form and the other expression is the simplified form.

= y + y = y^2

= 2y + 2y = 4y

= 1 + 1 = 2

= y^2 + 4y + 2

I haven't done this in a long time so I'm sorry if it's wrong

Answer:

I can't see the picture

nope

Answer:

the slope is 0

Step-by-step explanation:

Answer:slope, m=0

Step-by-step explanation:

using the slope formula m=y2-y1/x2-x1

m=8-8/-14-4 = 0/-10

m=0