The table shows the number of minutes per day students spend outside of school reading and doing their math homework. A table is shown. The number of minutes reading: fifteen, fifteen, fifteen, twenty, thirty, thirty, thirty, thirty, forty-five, and sixty. The number of minutes doing math homework: twenty-five, thirty, thirty, thirty, thirty, forty, forty-five, forty-five, fifty-five, and sixty. What is the difference of the means as a multiple of the approximate mean absolute deviations?

One pipe takes 6 hours to fill the pool and the other takes 12 hours.

Pipe A fills 1/x of the pool per hour, and Pipe B fills 1/y of the pool per hour. In other words, A takes x hours to fill the pool and B takes y hours to fill the pool.

Together, they fill 1/x + 1/y of the pool per hour. So, 4 hours times that rate should equal 1 full pool, since together they take 4 hours to fill the pool. That gives you your first equation:

4(1/x + 1/y) = 1

You're also told that if one pipe fills half the pool and the other takes over to fill the rest, it will take 9 hours. We don't know how long Pipe A works, so call that number of hours t. Pipe B must work for 9 - t hours.

So, Pipe A, working for t hours, fills half the pool:

t(1/x) = 1/2

And Pipe B, working for 9 - t hours, fills half the pool:

(9-t)(1/y) = 1/2

You now have a system of three equations (because this is an exceptionally complicated pipe-filling-pool problem):

4(1/x + 1/y) = 1

t(1/x) = 1/2

(9-t)(1/y) = 1/2

Solve for t in that second equation, then plug it into the third equation:

t(1/x) = 1/2

t = x(1/2)

t = x/2

(9 - x/2)(1/y) = 1/2

Now you've got a system of two equations:

4(1/x + 1/y) = 1

(9 - x/2)(1/y) = 1/2

Solve for y in the second equation, then plug that into the first equation:

(9 - x/2)(1/y) = 1/2

(9 - x/2) = y(1/2)

2(9 - x/2) = y

18 - x = y    (this is a really nice-looking form of that equation; we'll use it again later)

4(1/x + 1/y) = 1

4(1/x + 1/(18-x)) = 1

4/x + 4/(18-x) = 1

(4(18-x))/(x(18-x)) + (4x)/(x(18-x)) = 1

(4(18-x) + 4x)/(x(18-x)) = 1

4(18-x) + 4x = x(18-x)

72 - 4x + 4x = 18x - x2

72 = 18x - x2

x2 - 18x + 72 = 0

(x - 6)(x - 12) = 0

x - 6 = 0    OR    x - 12 = 0

x = 6   OR    x = 12

So, Pipe A takes either x = 6 or x = 12 hours to fill the pool alone.

When Pipe A takes 6 hours to fill the pool, Pipe B takes 12. When Pipe A takes 12 hours to fill the pool, Pipe B takes 6.

These cases are equivalent, since the original problem makes no distinction between the pipes.

Hence, one pipe takes 6 hours to fill the pool and the other takes 12 hours.

To know more about equations check the below link:

https://brainly.com/question/22688504

#SPJ4

The value is less than 0.01

What is Null hypothesis?

The null hypothesis is a common statistical theory that contends that there is no statistical relationship or significance between any two sets of observed data and measured phenomena for any given single observed variable.

Explanation:

             [tex]Grand \ mean = \frac{30+45+36}{3} \\\\Grand \ mean = \frac{111}{3} \\\\Grand \ mean = 37[/tex]

TrSS = 5(30-37)²+5(45-37)²+5(36-37)²

TrSS = 570

SSE = (5-1)6²+(5-1)4²+(5-1)(6-5)²

SSE = 66

[tex]HST_{r} = SST_{s}[/tex]

according to given question p value is less than 0.00001 point. Therefore, The value is less than 0.01.

To know more about Null Hypothesis visit,

https://brainly.com/question/25263462

#SPJ4

Answer:

h

Step-by-step explanation:

The process of reasoning from a premise or premises to a conclusion based on those premises is known as deductive reasoning.

According to the question,

We have to find the name of the process of reasoning from a premise or premises to a conclusion based on those premises.

We know that there are two types of reasoning. One is inductive reasoning and the second one is deductive reasoning.

In deductive reasoning, we make a final statement which is often called conclusion from various statements which are given. For example, if we say 25th November is my birth date and today is my birth date then the conclusion is today is 25th November.

Hence, the process of reasoning from a premise or premises to a conclusion based on those premises is known as deductive reasoning.

To know more about deductive reasoning here

https://brainly.com/question/2437643

#SPJ4

The sampling process used on dollar street is stratified sampling.

Given,

Use of dollar street;

Dollar street offers a fresh perspective on families all throughout the world. Every family is arranged down a street, with the wealthiest household on the right and the lowest on the left. Each family's earnings are expressed in US dollars.

Here,

Stratified sampling;

To complete the sampling process, stratified sampling is a form of sampling technique in which the entire population is divided into smaller groups or strata.

Therefore,

Stratified sampling is used in dollar street for sampling process.

Learn more about stratified sampling here;

https://brainly.com/question/20544692

#SPJ4

The required percent of the total profit was not brought in by the sales department is 33%.

Simple Interest (S.I.) is the strategy for working out the premium sum for a specific chief measure of cash at some pace of revenue. For instance, when an individual takes a credit of Rs. 5000, at a pace of 10 p.a. for a considerable length of time, the individual's advantage for quite some time will be S.I. on the acquired cash.

profit amount = $1196.7

Amount used in sales =  $798.9

Amount was not used in sales = $1196.7 - $798.9 = $397.8

Now, then approximately percent of the total profit was not brought in by the sales department.

($397.8/$1196.7) × 100 = 33%

To know more about percentage visit:

brainly.com/question/29306119

#SPJ4

The probability that someone who tests positive has the genetic disease is  0.142

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

Let E be the people test positive

Let F be the people who has disease

P(F)= 1/10000 = 0.0001

P(E/F)= 99.5% = 0.995

P(E/F bar ) = 0.06 % = 0.0006

Baye's theorem:

P(F/E) =  [ P(E/F) * P(F) ] /  [ P(E/F) * P(F) + P(E/F bar ) * P( F bar ) ]

conditional probability :

P(B/A) = P ( A [tex]\cap[/tex] B ) / P(A)

Complement rule is given  by:

P (F bar ) = 1 - P(F) = 1 - 0.0001 = 0.9999

The probability that someone who tests positive has the genetic disease :

P(F/E) =  [ P(E/F) * P(F) ] /  [ P(E/F) * P(F) + P(E/F bar ) * P( F bar ) ]

         = ( 0.995 * 0.0001 ) / ( 0.995 * 0.0001 + 0.0006 *0.9999)

          =  0.142

To learn more about the probability from the given link

https://brainly.com/question/24756209

#SPJ4

Answer25

Week good :

Step-by-step explanation:

In an electrical system, components of categories I and II have a life expectancy measured in hundreds of hours, respectively. The probability of finding the combined density of Y1 and Y2 is equal to e^(−2).

The components of type I and type II, respectively, have random life spans denoted by the letters Y1 and Y2, respectively. Given by is the joint density function (Measurements are in hundreds of hours.)

Probability P(Y1 > 1, Y2 > 1) = ∫2¹∫1¹ (1/2)e^(−x−y) dx dy = e^(−2).

Learn more about probability here

https://brainly.com/question/12226830

#SPJ4

Answer:

The answer is -17/15

(Decimal: -4.733333)

Answer:

X=437 over 100

Step-by-step explanation:

Answer:

1. 918

2. 2880

3. 2678

4. 22554

5. 66014

6. 44208

Answer:

its C.

Step-by-step explanation:

Answer:

If you divide 76 by 6, you would get 12.6666667.

76 divided by 6 is equal to 12 and 2/3, or simply 12.67 when expressed as a decimal.

To divide 76 by 6, we perform the division operation to find the quotient.

When dividing, we start with the largest multiple of 6 that is less than or equal to 76, which is 72. We divide 72 by 6, which equals 12.

Next, we subtract the product of 6 and 12 from 76 to find the remainder:

76 - (6 x 12) = 76 - 72 = 4

Since there is still a remainder of 4, we can express the result as a mixed number: 12 and 4/6.

To simplify the mixed number, we can reduce the fraction. The greatest common divisor of 4 and 6 is 2, so we can divide both the numerator and denominator by 2:

4/2 ÷ 6/2 = 2/3

Therefore, 76 divided by 6 is equal to 12 and 2/3, or simply 12.67 when expressed as a decimal.

To learn more about the division;

https://brainly.com/question/13263114

#SPJ6

The the diameter of the shaft is  to be in order to transmit 60 hp at 150 rpm 1.88 inch.

We must first obtain the formula for calculating horsepower.

The phrase to use is as follows:

hp = k  × v  × d³ ......eq(1)

Where:

Since k is a constant, it will always have the same value when the shaft is transferring 60 horsepower at 150 rpm.

Therefore, using the first set of information, we can determine the value of k and subsequently the diameter.

When we solve for k in (1), we get:

k = hp / (v × d³)

Put the values;

k = 45 / (100  × 3³)

k = 0.02

Put the value of k and solve for diameter.

d = ∛hp / (k   × v)

d = ∛60 / (150 × 0.06)

d = 1.88 inch

Thus, the the diameter of the shaft is  to be in order to transmit 60 hp at 150 rpm 1.88 inch.

To know more about the horsepower, here

https://brainly.com/question/28994705

#SPJ4

Answer:when you're working hard for 4 year graduation and will cost you, 10177.84 for whole 4 year

This is a total of 2^32×2^16×2^8×2^4×2^2×2^1 possible outcomes that is 2^63 outcomes.

The basic counting concept is a method for keeping track of all the potential outcomes in a scenario. It indicates that there are nm methods to carry out both of these activities if there are n ways to carry out one action and m ways to carry out another action after that. How selection is made based on options is determined by the Fundamental Principle of Counting. The approach of selection, taking into account all of the potential options and their combinations for calculating the probability, is made simpler by the Fundamental Principle of Counting.

Here,

Since I don't know anything about NCAA's March Madness, I'll assume that you're talking about a 64-team single-elimination tournament.

In the first round, there are 32 games, each with 2 possible outcomes. This provides for a total of 2^32 possibilities.

In the next round, there are only 16 games, again each with 2 possible outcomes, for a total of 2^16 possibilities.

You keep going, eliminating half of the players each round and taking half as long as the previous round to play the games out, until the finals, at which point there is 1 game with 2 possible outcomes.

This is a total of 2^32×2^16×2^8×2^4×2^2×2^1 possible outcomes that is 2^63 outcomes.

To know more about counting principle,

https://brainly.com/question/28384306

#SPJ4

Answer:

30%

Step-by-step explanation:

4 pounds of almonds is $22 --> 1 pound of almonds is $5.50

Cashew price per pound = 160/100 * $5.50. = $8.80

22 + 8.80x = 6.50(4+x)

22 + 8.80x = 26 + 6.50x

2.30x = 4

x = 1.739130435 approx 1.74 lbs of cashews

percent of the mixture, by weight, for cashews =

1.739130435 / (4 + 1.739130435) = 0.303030303 approx 30%

Answer:

x = 2, y = 2

Step-by-step explanation:

Looking at the equations,

x + 4y = 10

2x + 8y = 20

If x = 2, and y = 0 then it would look something like this:

2 + (4×2) = 10

Let's apply that to the next equation:

(2×2) + (8×2) = 20

In conclusion, x = 2, y = 2

If the area of the pentagon is 36, then the area of the pentagon FGHIJ is 64.

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol "~".

Given that the length of the side of the smaller pentagon is 12, while the length of the side of the larger pentagon is 16.

Since the two of the given figures are similar figures, therefore, we can write,

(Area of smaller pentagon)/(Area of larger pentagon) = (Ratio of the sides)²

(Area of pentagon ABCDE)/(Area of pentagon FGHIJ) = (AE / FJ)²

(36)/(Area of pentagon FGHIJ) = (12/16)²

Area of pentagon FGHIJ = 36 × (16/12)²

Area of pentagon FGHIJ = 36 × (256/144)

Area of pentagon FGHIJ = 64

Hence, the area of the pentagon FGHIJ is 64.

Learn more about Similar Figures here:

https://brainly.com/question/11315705

#SPJ1

The most economical length of the paper is 9 inches and width is 6 inches.

What is a derivative of a function?

The derivative of a function of a single variable at a chosen input value. It is the rate of change of a function with respect to a variable.

Let us consider,

Width of the printed part, in inches be 'x'

height of the printed part, in inches be 'y'

According to question,

Area of the printed part, in square inches = xy = 24

So,

y=24/x

width of the page, in inches = x + 2×1 = x+2

height of the page, in inches = y + 2×1.5 = y + 3

The area of the page (in square inches) is , A

= (x+2) (y+3)

= xy + 3x + 2y + 6

= 24 + 3x + 2y + 6

= 3x + 2y + 30

= 3x + 2×24/x + 30

= 3x + 48/x + 30

The minimum length can be found by calculating the derivative dA/dx, where A is the area of the paper

Solving the equation for dA/dx=0,

[tex] \frac{dA}{dx} = \frac{d(3x + \frac{48}{x} + 30)}{dx} [/tex]

[tex] \frac{dA}{dx} = 3 + \frac{48}{ {x}^{2} } [/tex]

[tex]\frac{dA}{dx} = 3 + \frac{48}{ {x}^{2} } = 0[/tex]

[tex]3 + \frac{48}{ {x}^{2} } = 0[/tex]

x = 4

then,

y = 24/4 = 6

The width and height of the paper are

x+2=4+2=6 and

y+3=6+3 =9

The dimensions of the page, so that the least amount of paper is used must be 6 inches wide by 9 inches tall.

Hence, the most economical length of the paper is 9 inches and the width is 6 inches.

Read more about derivation at

https://brainly.com/question/954654

#SPJ4

The constant of proportionality of the given table is k = 2.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

We know the constant of proportionality between the variable x and y can be written as y = kx, where k is the constant of proportionality.

From the table when x = 2, y = 4.

∴ 4 = 2k.

k = 2.

learn more about proportion here :

https://brainly.com/question/7096655

#SPJ1

Answer:

Yes

Step-by-step explanation:

x = 0 is a vertical line. It's the y-axis.

y = 3 is a horizontal line.

x = 0 and y = 3 are perpendicular lines because they intersect

Answer:

Step-by-step explanation:

Yes, you can figure it out by drawing it out. Unfortunately, you can't compare slopes in this case as vertical lines are undefined.

By using normal distribution of probability, it can be calculated that

13.59 %of men are between 64 and 66.5 inches tall

What is normal distribution of probability?

Normal distribution of probability is a continuous type probability distribution whose probability density function is given by

f(x) = [tex]\frac{1}{\sigma \sqrt{2\pi}}e^{-\frac{z^2}{2}}[/tex] where z = [tex]\frac{x - \mu}{\sigma}[/tex]

[tex]\mu[/tex] is the mean and [tex]\sigma[/tex] is the standard deviation.

Here, normal distribution of probability is used

Mean = 69 inches

Standard deviation = 2.5 inches

P(64 < X < 66.5) = P(X <66.5) - P(X < 64)

For X < 64

z = [tex]\frac{64 - 69}{2.5}[/tex] = -2

P(X < 64) = P(z < -2) = 0.0228

For X < 66.5

z = [tex]\frac{66.5 - 69}{2.5}[/tex] = -1

P(X < 66.5) = P(z < -1) = 0.1587

P(64 < X < 66.5) = 0.1587 - 0.0228 = 0.1359

13.59 % men are between  64 and 66.5 inches tall

To learn more about normal distribution of probability, refer to the link-

https://brainly.com/question/4079902

#SPJ4

The projected percentage for 2060 is nearly double from 52 million in 2018 to 95 million by 2060.

Given in 1970, about 10 percent of the u.s. population was age 65 and older.

Demographic Shifts

The number of Americans ages 65 and older is projected to nearly double from 52 million in 2018 to 95 million by 2060, and the 65-and-older age group's share of the total population will rise from 16 percent to 23 percent. The older population is becoming more racially and ethnically diverse.

Hence the answer is the projected percentage for 2060 is nearly double from 52 million in 2018 to 95 million by 2060.

To learn more about percentage click here https://brainly.com/question/24877689

#SPJ4

Answer:

Solve for Y

by simplifying both sides of the equation, then isolating the variable.

Hope this helped

Step-by-step explanation:

The answer would be: y=-18x+2

If a researcher is using a one sample t statistic to test a null hypothesis about a population, he needs average, standard deviation and sample size to calculate the one sample t statistics.

What is t- Statistic test ?

Comparing the means of two groups is done statistically using a t test. It is frequently used in hypothesis testing to ascertain whether a method or treatment truly has an impact on the population of interest or whether two groups are distinct from one another.

Since the researcher wants to use one sample t statistic to test a null hypothesis about a population, the formula for t statistic will be followed which can be computed by using some figures which are the average, standard deviation and sample size to calculate the one sample t statistic.

Learn more about t statistic test from the link given below:

https://brainly.com/question/6589776

#SPJ4

Answer:

down below

Step-by-step explanation:

Assuming you meant multiplying:

61.295

Hope this helps! :)

Answer:

the length of the gym will be 80 feet

Step-by-step explanation:

Answer:

Amara

Step-by-step explanation:

You can find mean by adding the total number of texts sent by each person and dividing it by the number of days.

In this case, the mean of Amara's texts sent is 6.714...

The mean of Marquis' texts sent is 9.428...

Therefore, Amara has the smaller mean.