There are three apple orchards. Each orchard has a different number of trees and apples.

Given Information:

Mean clear height = μ = 22 feet

Standard deviation of clear height = σ = 4 feet

Required Information:

a) P(X > 16) = ?

b) P(X < 14) = ?

c) P(25 < X < 30) = ?

Answer:

a) P(X > 16) = 93.12%

b) P(X < 14) = 2.27%

c) P(25 < X < 30) = 20.39%

Step-by-step explanation:

What is Normal Distribution?

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.  

a) We want to find out the probability that the clear height is greater than 16 feet.

[tex]P(X > 16) = 1 - P(X < 16)\\\\P(X > 16) = 1 - P(Z < \frac{x - \mu}{\sigma} )\\\\P(X > 16) = 1 - P(Z < \frac{16 - 22}{4} )\\\\P(X > 16) = 1 - P(Z < \frac{-6}{4} )\\\\P(X > 16) = 1 - P(Z < -1.5)\\\\[/tex]

The z-score corresponding to -1.5 is 0.0668

[tex]P(X > 16) = 1 - 0.0668\\\\P(X > 16) = 0.9312\\\\P(X > 16) = 93.12 \%[/tex]

Therefore, the probability that the clear height is greater than 16 feet is 93.12%

b) We want to find out the probability that the clear height is less than 14 feet

[tex]P(X < 14) = P(Z < \frac{x - \mu}{\sigma} )\\\\P(X < 14) = P(Z < \frac{14 - 22}{4} )\\\\P(X < 14) = P(Z < \frac{-8}{4} )\\\\P(X < 14) = P(Z < -2)\\\\[/tex]

The z-score corresponding to -2 is 0.02275

[tex]P(X < 14) = 0.02275\\\\P(X < 14) = 2.27 \%[/tex]

Therefore, the probability that the clear height is less than 14 feet is 2.27%

c) We want to find out the probability that the clear height is between 25 and 30 feet.  

[tex]P(25 < X < 30) = P( \frac{x - \mu}{\sigma} < Z < \frac{x - \mu}{\sigma} )\\\\P(25 < X < 30) = P( \frac{25 - 22}{4} < Z < \frac{30 - 22}{4} )\\\\P(25 < X < 30) = P( \frac{3}{4} < Z < \frac{8}{4} )\\\\P(25 < X < 30) = P( 0.75 < Z < 2 )\\\\[/tex]

The z-score corresponding to 0.75 is 0.7734 and 2 is 0.9773

[tex]P(25 < X < 30) = P( Z < 2 ) - P( Z < 0.75 ) \\\\P(25 < X < 30) = 0.9773 - 0.7734 \\\\P(25 < X < 30) = 0.2039\\\\P(25 < X < 30) = 20.39 \%[/tex]

Therefore, the probability that a child spends more than 4 hours and less than 8 hours per day unsupervised is 20.39%

How to use z-table?

Step 1:

In the z-table, find the two-digit number on the left side corresponding to your z-score. (e.g 1.5, 2.2, 0.5 etc.)

Step 2:

Then look up at the top of z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 1.50 then go for 0.00 column)

Step 3:

Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2.

Answer:

85

Step-by-step explanation:

because they add 3 on ever number

Answer:

85

Step-by-step explanation:

first they added 3, then they added 6, then they added 9, and so on

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If Mary's friend at 3/4 of blackberries, we will simply multiply the total number of blackberries by 3/4 to find how many blackberries Mary ate.

3/4×1 3/4= 1 5/16

Therefore, Mary's friend at 1 5/16 pounds of blackberries.

I hope that this helps! Have a wonderful day!

Answer:

B

15.01

6 percent of 14.16 is 0.85. Add 0.85 to 14.16 and you get 15.01

Answer

4. E

use PEMDAS

5. 36+18=54  so C

plug in x

6. 15=5x

x=3 so C

11. B

break the absolute value into pos and neg components

12.D

is not equal to so open circle

2x=14

2x=8

so 4 and 7 with open circles

Step-by-step explanation:

Explanation:

Divide the negative 16 by 2= -8

Then square -8

So the missing constant is 64

The perfect square would be (x-8)^2

So ,

here's your answer:

Mean =5.8

median=6

Mode=7

Range=7

Look at the attached picture

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Good luck on your assignment

Answer: The answer is 17 pieces is the answer..

I hope you are able to understand....

IF yes, then plz mark as brainliest...

Step-by-step explanation:

Answer:

The graph shows a distribution of data.

A graph shows the horizontal axis numbered 1 to x. The vertical axis is unnumbered. The graph shows an upward trend from 1 to 2 then a downward trend from 2 to 3.

What is the standard deviation of the data?

0.5 <<<------- CORRECT ANSWER

1.5

2.0

2.5

Step-by-step explanation:

EDGE 2021

The standard deviation of the data is,

σ = 0.5

An expression which is defined as the collection of the numbers,  variables and functions by using sign like addition, subtraction, multiplication, and division is called mathematical expression.

Now,

We have in the graph, there is bell-shaped along x =2.

Here, A bell-shaped graph along one value is called symmetric graph and it represents a normal distribution.

Since, The graph is symmetric around x = 2,

Hence, the mean of the data is 2.

And, The point immediate left to the mean represented by x - σ

Hence, We get;

2 - σ = 1.5

So,

σ = 0.5

Thus, The sigma represents standard deviation.

σ = 0.5

Hence, Option A is correct.

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Answer:

Step-by-step explanation:

Well, he completed 12 questions, so he has 18 left.

To get the solution, we are looking for, we need to point out what we know:  

We assume, that the number 30 is 100% - because it's the output value of the task.  

We assume, that x is the value we are looking for.  

If 30 is 100%, so we can write it down as 30=100%.  

We know, that x is 40% of the output value, so we can write it down as x=40%.  

Now we have two equations:

1) 30=100%

2) x=40%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

30/x=100%/40%

Now we just have to solve the equation.

30/x=100/40

(30/x)*x=(100/40)*x       - we multiply both sides of the equation by x

30=2.5*x       - we divide both sides of the equation by (2.5) to get x

30/2.5=x  

12=x  

x=12

now we have:  

40% of 30=12

Then, you need to subtract 12 from 30 to figure out what is left.

Hello!

The value that is in the middle of the data set will be the mean. (So, there will be three numbers on the left of it, and three to the right).

Let's say the numbers are 7, 9, 3, 6, 2, 1, 5 (Just as an example)

Because the amount of numbers in this data set is seven, it is an odd number. This means to find the median, we simply have to look at the number in the middle of the set. (In this case, that would be six).

Answer:

B.

Step-by-step explanation:

In the attached file

Answer:

y=-5x+6

Step-by-step explanation:

If you graph each of these equations, the only one that passes through the point (1,1) and is perpendicular to the given line is y=-5x+6.

Answer:

Total profit = $106

Profit made from hats = $34

Therefore to find the number of t-shirts sold

Total profit - Profit from hats = Profit from shirts

$106 - $34 = $72

And the made $4 from selling one shirt so to find the number of t-shirts sold,

*Profit of t-shirts - Profit made from one t-shirt = number of t-shirts

therefore, $72/$4= 18.

Therefore, Goran sold 18 t-shirts.

Answer:

12/7

Step-by-step explanation:

When given two points, we can find the slope by using

m = (y2-y1)/(x2-x1)

   = (4 - -8)/ (0 - -7)

    = (4+8) / (0+7)

   = 12/7

Answer:

The answer is 12/7

Step-by-step explanation:

I got this answer from Khan Academy.

Hope this helps! :)

Answer:

3,2

Step-by-step explanation:

Answer:

As 0.17 is below the upper limit of the confidence​ interval, so we can conclude that the population proportion is less than 0.17.

Step-by-step explanation:

We are given that a survey of 270 young professionals found that one dash eighth of them use their cell phones primarily for​ e-mail.

Firstly, the Pivotal quantity for 95% confidence interval for the population proportion is given by;

                            P.Q. =  [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex]  ~ N(0,1)

where, [tex]\hat p[/tex] = sample proportion of people who use their cell phones primarily for​ e-mail =  [tex]\frac{1}{8}[/tex] = 0.125

           n = sample of young professionals = 270

           p = population proportion

Here for constructing 95% confidence interval we have used One-sample z test for proportions.

So, 95% confidence interval for the population proportion, p is ;

P(-1.96 < N(0,1) < 1.96) = 0.95  {As the critical value of z at 2.5% level

                                                   of significance are -1.96 & 1.96}  

P(-1.96 < [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < 1.96) = 0.95

P( [tex]-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < [tex]{\hat p-p}[/tex] < [tex]1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ) = 0.95

P( [tex]\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < p < [tex]\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ) = 0.95

95% confidence interval for p = [[tex]\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] , [tex]\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex]]

        = [ [tex]0.125-1.96 \times {\sqrt{\frac{0.125(1-0.125)}{270} } }[/tex] , [tex]0.125+1.96 \times {\sqrt{\frac{0.125(1-0.125)}{270} } }[/tex] ]

        = [0.08 , 0.16]

Therefore, 95% confidence interval for the population proportion who use cell phones primarily for​ e-mail is [0.08 , 0.16].

Since, the above confidence interval have values which is less than 0.17; so we conclude that the population proportion is less than 0.17.

Answer:

40 people

Step-by-step explanation:

1/3 + 2/5=11/15

15/15-11/15=4/15

15/15 x 150 x 4/15=40

mean: 11.83

Median=14

Look at the attached picture

Hope it will help you..

good luck on your assignment

~pragya

Answer: D g(x)=(x+4)^2+6

Step-by-step explanation:

The correct equation of the translated function, g(x) is,

⇒ g(x) = (x + 4)² 6

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that:

The function is,

,⇒ f (x) = x²

Here, f(x) has vertex point is (0,0)

and g(x) vertex point is (-4,6)

Hence, The general form of equation with vertex is

⇒ y = a (x - h)² + k

where (h, k) are the vertex.

So, the equation of g(x) form is

⇒ g(x) = (x + 4)² + 6

Therefore, Option D is correct.

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Step-by-step explanation:

This is a geometric sequence where the first term is 64 and the common ratio is -¾.

a = 64 (-¾)ⁿ⁻¹

Answer:

she will have in the end 1 dollar and four cent after she buys 12 things with her  43.94 dollars

Step-by-step explanation:

so she had 43.94 dollars she can by with it she can buy with it 12 things she can buy a yoyo a doll a duckie a tractor a airplane a ball a racecar a dog a car a elephant and the last thing she can buy is a whistle

Step-by-step explanation:

1. Many state students are looking for employment opportunities through outsourced jobs in other countries, since their possibilities have been reduced within their own country.

2.One of the independent variables is outsourced work.

a. a type of moderate independent variable.

3. The analysis of the high demand for outsourcing.

a. Control dependent variable.

4.It is an experimental design.

Because you want to see if the outsourced market really has any effect on the US economy.

6. Possible dependent variables such as the effect on the US market or the creation of new markets, I do not consider to be reliable variables to measure the cause or independent variable.

7.It is ecologically valid in the sense that it allows visualizing a positive impact on a way of working that allows reducing costs in all senses, both monetary and transportation, contributing to the care of nature.

8.I do not consider that cause and effect can be claimed.

a.While the one that exitates this type of outsourced work from many parts of the world, this does not guarantee that it is the only source of income for a person, since these outsourced jobs often represent additional income.

9. Focal groups.

Hey there! I'm happy to help!

-------------------------------------------------------------------

OVERVIEW

Random sampling is when you take a sample of something completely at random. This is done to avoid bias and other stuff like that. It makes the data a lot more pure, real, and factual.

-------------------------------------------------------------------

CHOOSING THE ANSWER

OPTION A: A SCHOOL NEWSPAPER ASKS TEACHERS IN THAT MIDDLE SCHOOL HOW THEY FEEL ABOUT THE BEHAVIOR OF TWELVE YEAR OLD BOYS.

Does this seem very random to you? They're asking all the teachers who work at a certain junior high to talk about twelve year old boys. But, the teachers are definitely going to have some sort of bias towards twelve year old boys because they work with them, and since all of the samples are teachers, this is going to have biased data. Therefore, answer A is incorrect.

OPTION B: A NATIONAL SURVEY COMPANY PICKS ONE PHONE NUMBER FROM EACH AREA CODE IN AMERICA TO CALL AND ASK FOR AN OPINION ON CURRENT POLITICAL ISSUES.

This definitely seems a lot more random. There is only one phone number from each area code and there are many area codes in the United States so you get a bit of what everyone thinks about an issue. There is no bias because there is one random phone number and there are many different places this is done. Therefore, option B is correct.

OPTION C: MIGRANT WORKERS ARE SURVEYED ON THEIR OPINION OF MANDATORY HEALTH INSURANCE FOR COMPANIES.

This is not very random because they are asking a specific group of workers about a company and business ordeal. It is not very random because the migrant workers are specifically being asked, not random people. Therefore, option C is incorrect.

-------------------------------------------------------------------

THE SOLUTION

Therefore, Option B is the correct answer.

I hope that this helps! Have a wonderful day!

Answer:

A.  True

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

(195 - 85)/2 = 54x+1 -->

110/2 = 54x + 1 -->

55 = 54x + 1 -->

54 = 54x -->

1 = x

Answer:

a.

x $         0 $         50         $ 100

p (x)    25/36      5/36        6/36

b. 23.61%

c. 23.61%

Step-by-step explanation:

We have that "x" is the amount of money earned:

we have to fail twice, the probability of failure is 5/6 and the probability of hitting is 1/6, therefore if you lose the probability would be:

5/6 * 5/6 = 25/36

the one to win 50 $, would be:

1/6 * 5/6 = 5/36

and the one to win $ 100 would be:

1/6 * = 6/36

that is to say:

a.

x $         0 $         50         $ 100

p (x)    25/36      5/36        6/36

b. the expected amount you'll win would be:

0 * 25/36 + 50 * 5/36 + 100 * 6/36 = 23.61

c. The normal thing is to pay at least the expected amount, that is, $ 23.61, since something greater than that would already be profit.

The expected value is the sum of the product of values and their respective probabilities. Hence ;

To win $100 :

To win $50 :

To win nothing :

The probability distribution table :

The expected value :

E(X) = (0 × 25/36) + (50 × 5/36) + (100 × 1/36)

E(X) = 0 + 9.7222

E(X) = 9.722

Therefore, the expected amount to be won is $9.722

Willing amount to be paid to play the game :

Any value below the expected value,

Therefore, the willing amount will be < 9.722

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Answer:

y = 9x+80

Step-by-step explanation:

We can use the slope intercept form of a line

y = mx+b where m is the slope and b is the y intercept

y = 9x+b

Substitute the point in for x and y

-1 = 9(-9) +b

-1 = -81 +b

Add 81 to each side

-1+81 = b

80 =b

The equation is y = 9x+80

Answer:

The probability that the sample proportion will be within 6 percent of the population proportion is 0.9556.

Step-by-step explanation:

The question is:

What is the probability that the sample proportion will be within 6 percent of the population proportion?

Solution:

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

[tex]\mu_{\hat p}=p[/tex]  

The standard deviation of this sampling distribution of sample proportion is:

[tex]\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}[/tex]

The information provided is:

n = 209

p = 0.75

As n = 209 > 30, the central limit theorem can be used to approximate the sampling distribution of sample proportion by the Normal distribution.

[tex]\hat p\sim N(\mu_{\hat p}=0.75,\ \sigma_{\hat p}=0.0299)[/tex]

Compute the probability that the sample proportion will be within 6 percent of the population proportion as follows:

[tex]P(p-0.06<\hat p<p+0.06)=P(0.69<\hat p<0.81)[/tex]

                                         [tex]=P(\frac{0.69-0.75}{0.0299}<\frac{\hat p-\mu_{\hat p}}{\sigma_{\hat p}}<\frac{0.81-0.75}{0.0299})\\\\=P(-2.01<Z<2.01)\\\\=P(Z<2.01)-P(Z<-2.01)\\\\=0.97778-0.02222\\\\=0.95556\\\\\approx 0.9556[/tex]

Thus, the probability that the sample proportion will be within 6 percent of the population proportion is 0.9556.

A recursive formula for a sequence expresses the [tex]n[/tex]-th term as a function of the previous one(s).

In this case, you can see that every term is 6 more than the previous one.

So, the recursive formula is "the [tex]n[/tex]-th term is 6 more than the [tex]n-1[/tex]-th term".

In formula, it's written

[tex]a_n=a_{n-1}+6[/tex]

Since the recursion could go back indefinitely, we usually set a starting point, so that the sequence is fully determined:

[tex]\begin{cases}a_0=20\\a_n=a_{n-1}+6\end{cases}[/tex]

The  Recursive formula is [tex]a_n[/tex] =  6n - 14

Any term of a series can be defined by its preceding term in a recursive formula (s). For instance: An arithmetic series has the recursive formula a = [tex]a_n[/tex]-1 + d. [tex]a_n[/tex]= [tex]a_{n-1][/tex] r is the recursive formula for a geometric sequence.

Given:

20,26,32,38

First term, a= 20

Common difference,  d= 26 -20 = 6

So, The recursive formula is

[tex]a_n[/tex] = a+ ( n-1)d

[tex]a_n[/tex] = 20 + ( n-1) 6

[tex]a_n[/tex] = 20 + 6n - 6

[tex]a_n[/tex] =  6n - 14

Hence, the Recursive formula is [tex]a_n[/tex] =  6n - 14

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