A random number generator picks a number from 6 to 66 in a uniform manner. Round answers to 4 decimal places when possible.


The mean of this distribution is =

The standard deviation is =

The probability that the number will be exactly 19 is P(x = 19) =

The probability that the number will be between 28 and 46 is P(28 < x < 46) =

The probability that the number will be larger than 48 is P(x > 48) =

P(x > 17 | x < 62) =

Find the 49th percentile =

Find the maximum for the lower quartile =

Answers

Answer 1

Answer:last one

Step-by-step explanation:

Answer 2

A random number generator picks a number from 6 to 66 in a uniform manner, its resultants are  mathematically given as

X=36[tex]\sigma=5[/tex]p(x=19)=0.2167P(28 < x < 46) =0.3 P(x > 48)=0.3P(x > 17 | x < 62) =0.75k=29.4h=15

What is the mean of this distribution?

Generally, the equation for Mean is mathematically given as

[tex]X=\frac{a+b}{2}\\\\Therefore\\\\X=\frac{6+66}{2}[/tex]

X=36

b)

Generally, the equation for standard deviation is mathematically given as

[tex]\sigma=\sqrt{\frac{b-a}{12}^2}\\\\Therefore\\\\\sigma=\sqrt{(\frac{66-6}{12})^2}\\\\\sigma=\sqrt{25}\\\\[/tex]

[tex]\sigma=5[/tex]

c)

The probability that the number will be exactly 19

[tex]p(x=19)=\frac{19-6}{66-6}[/tex]

p(x=19)=0.2167

d)

The probability that the number will be between 28 and 46 is P(28 < x < 46)

[tex]P(28 < x < 46) =\frac{46-6}{66-6} -(\frac{28-6}{66-6})[/tex]

P(28 < x < 46) =0.3

e)

The probability that the number will be larger than 48 is P(x > 48)

[tex]P(x > 48)=1-P(x\leq 48)[/tex]

Therefore

[tex]P(x > 48)=1-(\frac{48-6}{66-6})[/tex]

P(x > 48)=0.3

f)

[tex]P(x > 17 | x < 62) = P(x\leq 62-P(x leq 17))[/tex]

Therefore

[tex]P(x > 17 | x < 62) =\frac{62-6}{66-6}-(\frac{17-6}{66-6})[/tex]

P(x > 17 | x < 62) =0.75

g)

The 49th percentile

[tex]p(x\leqk=k.(1/66-6))[/tex]

Therefore

[tex]0.49=k*(1/(66-6))[/tex]

k=29.4

h)

The maximum for the lower quartile

P(xl)=h*1/60

0.25=h*1/60

h=15

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Related Questions

10.
Use the quadratic function to predict y if x equals 6.

y = 2x2 − 2x − 2

A. y = 60

B. y = 58

C. y = −60

D. y = −58

Answers

Answer:

B. y = 58

Step-by-step explanation:

b) y=58 you follow the instructions

...............................................................................................................................................

The given quadratic function is      

y= 2x^2 - 2x - 2

We have to find the value of the function y at x=6.

Substitute x=6 in the given function.      

y= 2(6)^2 - 2(6) - 2

y= 2(36) - 12 - 2

y= 72 - 14

y= 58

The value of the function is 58 at x=6 is 58.

Therefore the correct option is B.

translate the sentence into a equation using n as the unknown number . Then solve the equation for n . 5 increased by half a number is 11

Answers

Answer:

I think it'll be 5 + n = 11

11 - 5 = 6

n = 6

Answer:

Below in bold.

Step-by-step explanation:

Let the number be n, then:

5 + 1/2n = 11

1/2n = 11 - 5

1/2n = 6

Multiply both sides of the equation by 2:

n = 12.

Find the greatest value of -10+14X-2X^2 and state the value of X at which it occurs

Answers

Answer:

Step-by-step explanation:

a maximum or minimum occurs where the derivative equals zero

f(x) = -2x² + 14x - 10

f'(x) = -4x + 14

0 = -4x + 14

4x = 14

x = 3.5

f(3.5) = -2(3.5)² + 14(3.5) - 10 = 14.5

Assuming that the data for all employees follows the same pattern, which kind of relationship is
there between years of higher education and current salary?
A- a clustered relationship
B- there is no relationship
C- a negative correlation
D- a positive correlation

Answers

Answer:

D- A POSITIVE CORRELATION

D.. A POSITIVE CORRELATION

plzz help its so confusing

Answers

espero que sea de tu agrado la tarea que te estoy enviando

soy de peru

brillith2022

What is 100% of 63?
PLEASE ANSWER QUICKLY

Answers

Answer:

100 percent of 63 is 63

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

100 x 63 /100 = 63

Michelle is scuba diving. Her position changes from -2.1 m to -38.6 m in 6 1/4 minutes. What is the average change in Michelle’s position each minute. Show your work.

Answers

Answer:   5.824 m / min

Step-by-step explanation:

Change in position = -2.1m to -38.6m

Distance = |-38.6 m - (-2.1m) |

=|-36.5| m

= 36.5 m

Time =  

The average change in Michelle's position each minute =  

Hence, the average change in Michelle's position each minute = 5.824 m / min

Original price of a puppy $159.95 Discount 15% Tax 8.725%?

Answers

Answer:

$124.095

Step-by-step explanation:

Discounted Price= $159.95- 15%of $159.95=$135.9575

Final Price= Discounted price + Tax

= $135.9575+ 8.725% of $135.9575

= $135.9575-$11.8622

=$124.095

10 4/5+(8 3/4−6 1/2) no files plz you dont have to explain it either

Answers

Answer:

11

Step-by-step explanation:

10×4/5+(8×3/4-6×1/2)=8+6-3=14-3=11

A new yo-yo factory is operating at 80%
of capacity and produces 4,000 yo-yos
daily. When the factory reaches 100%
of capacity, how many yo-yos should be
produced each day?

Answers

Answer:

5,000 yoyos per day

Step-by-step explanation:

80 x 1.25 = 100

4,000 x 1.25 = 5,000

(a) Michael bought 19 pounds of sugar for $8. How many dollars did he pay per pound
(b) Latoya runs 4 miles in 34 minutes. How many minutes does she take per mile?

Answers

Answer:

A = 2.37500

B = 8.5

Step-by-step explanation:

Explanation A - 19 divided by 8 is 2.37500

Explanation B - 34 divided by 4 is 8.5

4. In a simple random sample of 120 women and 150 men from
a population of 150,000, 25% of the women and 37% of the men
are smokers. Suppose you are interested in comparing the
proportion of smokers by sex, compute the Z statistic.

Answers

The z-test compares the two sample to determine the existence of a

difference in the two proportion.

The Z-statistic or test of the difference in proportion is approximately -2.106.

Reasons:

The given parameter are;

Number of women, n₁ = 120 women

Number of men, n₂ = 150 men

The population size = 150,000

Percentage of women that are smokers in population, [tex]\hat p_1[/tex] = 25%

Percentage of men that are smokers in population, [tex]\hat p_2[/tex] = 37%

The Z statistic is given as follows;

[tex]\displaystyle Z= \mathbf{\frac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p}(1-\hat{p})\left (\frac{1}{n_{1}}+\frac{1}{n_{2}} \right )}}}[/tex]

Number of men = 0.37 × 150 = 55.5

Number of women = 0.25 × 120 = 30

[tex]\displaystyle \hat p = \frac{55.5 + 30}{150 + 120} = \frac{19}{60}[/tex]

Which gives;

[tex]\displaystyle Z=\frac{0.25-0.37}{\sqrt{\frac{19}{60} (1-\frac{19}{60} )\left (\frac{1}{120}+\frac{1}{150} \right )}} \approx -2.106[/tex]

The Z-statistic is approximately -2.106

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  (20 points!!!) Please help me answer this question it’s important. I already know the answer I just need the working! The answer is ( Jose, $901.31 more)



Janell deposits $2,000 and for 5 years leaves it in an account earning 3% annual interest, compounded quarterly. For 5 years, José saves and deposits $150 per quarter in an account earning 3% interest compounded quarterly. Who will have more money in the account after 5 years? How much more?



Use the table below to answer:

Answers

Answer:this is tricky make me brainlest

then i shall answer Step-by-step explanation

Given the points C (-7 , - 4) and (-1 , 5 ), find the coordinates of point E on directed line segment CD that partitions CD into the ratio 1 to 2.

Group of answer choices


(5, −1)


(1, −2)


(−5, −1)


(−10, 6)

Answers

The coordinates of point E on the given line CD is; Option C: (-5, -1)

We are given the points with coordinates;

C (-7 , - 4) and D(-1 , 5 )

Now, we are told that point E divides CD in the ratio 1:2.

Let coordinate of E be (x, y)

The formula to find (x, y) is;

x = (mx2 + nx1)/(m + n)

y = (my2 + ny1)/(m + n)

Where m:n is the ratio of the partition. Thus;

x = (1*-1 + 2*-7)/(1 + 2)

x = -15/3

x = -5

Similarly;

y = (1*5 + 2*-4)/(1 + 2)

y = -1

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Mofor had $21 to spend on two notebooks.
After buying them he had $13. How much
did each notebook cost?
Two-step equations

Answers

Step-by-step explanation:

21-13=8

8÷2=4

A note book costs 4$

Answer:

the unit price of the notebooks:  $4

Step-by-step explanation:

Mo starts with $21 and finds himself left with $13 after buying the notebooks.  Subtracting $13 from $21 results in $8, the amount he spent on two notebooks.  Dividing $8 by 2 yields the unit price of the notebooks:  $4

For the right angle shown, the length of two sides are given. Find the third side. Leave your answer in simplified, radical form.

b=9, c=16
a=

Answers

Answer:

a is about 13.2

Step-by-step explanation:

the formula for this type equation is a²+b²=c²

plug in the numbers to make the equation a²+9²=16²

do the multiplication and it gives u a²+81=256

subtract 81 from both sides and a²=175

take the square root of both sides and it gives u 13.22

On two investments totaling $14,000, Peter lost 4% on one and earned 6% on the other. If his net annual receipts were $312, how much was each investment?

Answers

Answer:

5280 , 8720

Step-by-step explanation:

suppose the one is x, another is y

x+y=14000

y(6%)-x(4%)=312

x=5280

y=8720

net annual receipt means the income so you have to substract the lost from the gains

In a competition with USA, Canada, England and Mexico, how many different ways can the countries place first, second and third?
a 3
b 24
c 4
d 9​

Answers

Answer:

B

Step-by-step explanation:

There are 4 countries. If a country places first, it cannot place 2nd or 3rd or fourth. That leaves 3 that can. So this uses the counting principle

4 countries could be first

3 countries could be second

2 countries could be 3rd

1 country can be last.

4*3 * 2 * 1 = 24 different ways.

X is the random number of times a coin with heads probability 1/4 is tossed till the first heads appears, find: g

Answers

Is there more to this question? I feel as if part of it is left out

The percent of Ivy Tech students receiving financial aid in 2018 was 82%, this was a 9.8% relative increase from 2017. What would the percent of students receiving aid in 2017 have been?

Answers

In 2017 it would have been 72.2%

What is the probability that client A, the newborn you’re considering for a 30-year policy, lives to be 30 years old? Client A is a non-Hispanic white male, so look in table 14.

Answers

Using the probability concept, it is found that there is a 0.97555 = 97.555% probability that client A lives to be 30 years old.

A probability is the number of desired outcomes divided by the number of total outcomes, that is:

[tex]p = \frac{D}{T}[/tex]

In this problem:

Out of 100,000 clients, 97,555 lives to age 30, hence [tex]D = 97555, T = 100000[/tex]

Then:

[tex]p = \frac{D}{T} = \frac{97555}{100000} = 0.97555[/tex]

There is a 0.97555 = 97.555% probability that client A lives to be 30 years old.

A similar problem is given at https://brainly.com/question/25790531

Answer: The answer is 0.97424

Step-by-step explanation: The other answer... the math is correct, its just that they have read the source table incorrectly.

Age

29-30 = 97,555

30-31 = 97,424

The correct row is 30-31.

97,424 / 100,000 = 0.97424

You can tell this is the case because look at row 0-1.. its a 100% chance of survival. If you read that row as a '1 year old' then 100% of all people survive until they turn 1? Alas, no, this is not true :(

The radius of a circle measures 10 yards what is the circumference of the circle

Answers

Answer:

62.8 yards

Step-by-step explanation:

The circumference would just be equal to diameter*3.14, and the diameter is 2 times the radius. 2x10=20, and 20x3.14 would equal 62.8 yards.


f/3 + 22 = 17.
» How can you isolate the variable f?
yeah

Answers

Answer:

subtract 22 from both sides then multiply 3 to both sides

Step-by-step explanation:

F/3+22=17

-22. -22

F/3 = -5

x3. x3

F= -15

Three classes at a junior high school raised money to buy a new computers.

Answers

Answer:

what's the question...?

Step-by-step explanation:

Leave a comment?

Please take a look at the picture.

Answers

Answer:

B, and A

Step-by-step explanation:

big brain time

Suppose you are reviewing your cell phone bill on Friday and you notice you go over your data limit 49% of the time. You
review the weather forecast for tomorrow that says there is a 11% chance of rain. Assuming rain and going over in data are
independent events, what is the probability that it rains and you go over in data tomorrow? Give your answer as an exact
fraction and reduce the fraction as much as possible.

Answers

Probability that it rains and you go over in data tomorrow = 0.0539

Percentage of time it takes to go over your data limit = 49%

Probability that you go over your data limit, P(data) = 49/100

P(data) = 0.49

The chance that it rains tomorrow = 11%

Probability that it rains tomorrow, P(rain) = 11/100

Probability that it rains tomorrow, P(rain) = 0.11

Probability that it rains and you go over your data tomorrow = P(rain) x P(data)

Probability that it rains and you go over in data tomorrow = 0.11 x 0.49

Probability that it rains and you go over in data tomorrow = 0.0539

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5 An army cook wants to make pudding
for dessert. He has a recipe that calls for
2 cups of milk to make 4 servings. There
are 16 cups in a gallon. How many gallons
of milk does the cook need to make
864 servings of pudding?

Answers

Answer:

27

Step-by-step explanation:

First you dvide 864 by 4  to get 216. Next you multiply the 216 by 2 to find that there are 432 cups in 864 servings. Finally you divide by 16 to turn 432 cups into 27 gallons.

I hope this helps!

Answer:

27 gallons

Step-by-step explanation:

First, multiply each number by 8, so you can get 16 cups.

16 cups to make 32 servings or 1 gallon to make 32 servings

Then find out what you multiply 32 by to get 864 by dividing 864/32 which is 27.

Now multiply the 1 gallon by 27 to get 27 gallons in 864 servings

simplify the square root of -180
please show work

Answers

Answer:

6sqrt5

Step-by-step explanation:

Analyze the solution set of the following system by following the given steps. 2x + y = 5 3y = 9 − 6x Write each equation in slope-intercept form. y = -2 x + 5 y = -2 x + 3 What do the equations have in common? How are they different?

Answers

Step-by-step explanation:

Given the following systems of linear equations, 2x + y = 5, and 3y = 9 − 6x

Write each equation in slope-intercept form.

The slope-intercept form is: y = mx + b, where m = slope, and b = y-intercept.

2x + y = 5

Subtract 2x from both sides:

2x - 2x + y = - 2x + 5

y = -2x + 5 ⇒ This is the slope-intercept form, where the slope, m = -2, and the y-intercept, b = 5.

3y = 9 − 6x

Divide both sides by 3 to isolate y:

3y = − 6x + 3

[tex]\frac{3y}{3} = \frac{-6x + 9}{3}[/tex]

y = -2x + 3 ⇒ This is the slope-intercept form, where the slope, m = -2, and the y-intercept, b = 3.

What do the equations have in common?

y = -2x + 5

y = -2x + 3

These equations have the same slope, m = -2.

How are they different?

They have different y-intercepts.

y = -2x + 5  ⇒ The y-intercept is (0, 5), where b = 5.

y = -2x + 3  ⇒ The y-intercept is (0, 3), where b = 3.

The equations have the same slope but different y-intercepts, meaning they are parallel lines that run parallel to each other and are spaced vertically apart by a difference of 2 units.

Step 1: Write each equation in slope-intercept form.

Given system of equations:

1. 2x + y = 5

2. 3y = 9 - 6x

Slope-intercept form of an equation is y = mx + b, where m is the slope and b is the y-intercept.

Let's rewrite the equations in slope-intercept form:

1. 2x + y = 5

  Subtract 2x from both sides: y = -2x + 5

2. 3y = 9 - 6x

  Divide both sides by 3: y = -2x + 3

Step 2: The equations have the same slope (-2) but different y-intercepts 5 and 3.

The common slope (-2) indicates that the lines represented by these equations have the same steepness or inclination.

The difference in y-intercepts means that the lines are parallel and run parallel to each other.

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i need help plz the question is in the image

Answers

Answer:

46<h

Hopes this helps :)

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