What is the inner quartile range for 72,80,81,84,92,92,94,95?

Answer:

  y = 1/8(x -2)^2 -1

Step-by-step explanation:

The vertex form of the equation of a parabola can be written as ...

  y = (1/(4p))(x -h)^2 +k

for vertex (h, k) and vertex-to-directrix distance p. Here, the vertex has a y-value of -1, and the directrix has a y-value of -3, so the distance between them is -1 -(-3) = 2, and the desired equation with vertex (2, -1) is ...

  y = 1/8(x -2)^2 -1

_____

Comment on the graph

One description of a parabola is that it is the locus of points equidistant from the focus and the directrix. I like to show that a point on the parabola (not the vertex) meets that requirement. That is what the dashed orange lines are for in the diagram. You can easily see that each has length 4.

Answer:

5 [tex]\frac{5}{8}[/tex]

Step-by-step explanation:

A thirty minute TV program means that is the total.

If each commercial is 2 1/2 minutes long then we multiply that my three (for each of the times they show a commercial)

2 1/2 * 3 = 7 1/2 minutes (That's the commercials)

30 (Total) - 7 1/2 = 22 1/2 (That all the entertainment segments together)

Since there is 4 segments we divide 22 1/2 by 4

(22 1/2) / 4 = 5.625 or 5 and 5/8

Final answer:

To solve the system of equations, you can substitute the value of y in terms of x from the third equation into the first two equations.

Explanation:

The system of equations given is:

Y = ½x + 1

Y = -½x - x + 1

y = x - 1

To solve these equations, we can substitute the value of y in terms of x from the third equation into the first two equations:

Substituting y = x - 1 into Y = ½x + 1:

Y = ½(x - 1) + 1

Simplifying, we get:

Y = ½x - ½ + 1

Substituting y = x - 1 into Y = -½x - x + 1:

Y = -½(x - 1) - (x - 1) + 1

Simplifying, we get:

Y = -½x + ½ + 1

Therefore, the system of equations can be simplified to:

Y = ½x - ½ + 1

Y = -½x + ½ + 1

Answer:

a. f(x) is continuous for all real numbers

Step-by-step explanation:

At x = 1

Piece 1:

f(x) = 1² + 4 = 5

Piece 2:

f(x) = 1 + 4 = 5

First piece ends at (1,5)

Second piece starts at (1,5)

So no discontinuity

Answer:

Quadratic equations will have two real number solutions that are

A. 0 = 2x2 – 7x – 9

C. 0 = 4x2 – 3x – 1

D. 0 = x2 – 2x – 8

In a quadratic equation, the variable x is an unknown value, for which we need to find the solution. Examples of quadratic equations are: 6x² + 11x – 35 = 0, 2x² – 4x – 2 = 0, 2x² – 64 = 0, x² – 16 = 0, x² – 7x = 0, 2x² + 8x = 0 etc.

Solving Quadratic Equations

Learn more about quadratic equations here: https://brainly.com/question/8649555

#SPJ2

Approximately 95.44% of people take between 123 and 171 minutes to read the book.

To find the percentage of people who take between 123 and 171 minutes to read the book, we'll use the properties of the normal distribution.

First, we need to find the z-scores for both 123 and 171 minutes using the formula:

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

Where:

-[tex]\( X \)[/tex] is the value (in minutes),

-[tex]\( \mu \)[/tex] is the mean (147 minutes),

- [tex]\( \sigma \)[/tex] is the standard deviation (12 minutes).

For 123 minutes:

[tex]\[ z_1 = \frac{{123 - 147}}{{12}} = -2 \][/tex]

For 171 minutes:

[tex]\[ z_2 = \frac{{171 - 147}}{{12}} = 2 \][/tex]

Now, we'll use a standard normal distribution table or calculator to find the percentage of values between these z-scores. For a standard normal distribution, approximately 95.44% of the data falls within ±2 standard deviations from the mean.

So, to find the percentage of people who take between 123 and 171 minutes, we subtract the percentage outside this range from 100%:

[tex]\[ \% = 100 - (100 - 95.44) = 95.44\% \][/tex]

Approximately 95.44% of people take between 123 and 171 minutes to read the book.

Answer:

Step-by-step explanation:

The distance of point A from the top of the pole that will make the pole be  perpendicular position to the ground

so, for the pole to be in perpendicular position it must obey Pythagorean theorem

Then, using Pythagoras theorem

c² = a² + b²

x² = 10² + 6²

x² = 100 + 36

x² = 136

x = √136

x = 11.662ft

To nearest tenth

x = 11.7 ft.

So, the pole must be at a distance of 11.7 ft from the top of the pole to point A.

To justify,

10 font long board and an 18 foot long board. To make the ramp right triangle. How long should ramp

So, to calculate the ramp, which is the hypotenuse we will still apply Pythagorean theorem

Then, using Pythagoras theorem

c² = a² + b²

x² = 10² + 18²

x² = 100 + 324

x² = 424

x = √424

x = 20.59 ft

To nearest tenth

x = 20.6 ft.

So, the ramp is 20.6 ft long

Jalen needs to measure 8 feet from point A to the base of the pole to set it perpendicularly to the ground.

To make the pole perpendicular to the ground, Jalen needs to measure the distance from point A to the base of the pole, which forms a right angle at point B.

Using the Pythagorean theorem: Distance AB = √((10)^2 - (6)^2) = √(100 - 36) = √64 = 8 feet.

Therefore, Jalen needs to measure 8 feet from point A to the base of the pole for it to be positioned perpendicularly.

Answer:

8.75 per hour

you would put the overall money earned and divide it by how many hours he worked

example:

87.50 ÷ 10 = 8.75

Answer:

{13, 23, 11, 16, 15, 10, 26}

Step-by-step explanation:

The "middle" of a sorted list of numbers. To find the Median, place the numbers in value order and find the middle number. Example: find the Median of {13, 23, 11, 16, 15, 10, 26}. The middle number is 15, so the median is 15.

plzzzz lmk if it was right and give me the brainliest

THX so muchhhhh

Answer:

The answer would be the last one.  18, 15, 11, 14, 19, 6

Here's Why:

To find the median, you must first put these numbers in order from least to greatest.

Least ----> Greatest

6, 11, 14, 15, 15, 18, 19

The next step is to find the middle number. In this case, the middle number is 15, therefore, you're median is 15.

6, 11, 14, 15, 15, 18, 19

(: hope this answers your question

Answer:

2.67 ounce of cashews are in the mix.

Step-by-step explanation:

Since we are dealing with a 32 ounce bag of mixed nuts and 1/12 of this bag is cashews (1/12 of the mix),

Then:

1/12 × 32 ounce = The actual quantity of cashew nuts in the mix.

= 1/12 × 32

= 32/12

= 2.67 ounce of cashews are in the bag.

Answer:

2.666ounce is contained in the bag

Step-by-step explanation:

Given that 32 ounce of bag has mixed nuts of which 1/12 of this bag contain cashews.

(1/12 of the entire mix),

Hence,

1/12 × 32 ounce

= 1/12 × 32

= 32/12

= 2.666ounce of cashews are in the bag.

Answer:

I would say add it up

Step-by-step explanation:

Answer:

Step-by-step explanation:

The correct answer would be C - h(x) = f(x) + g(x). The total cost for serving everyone at the barbecue would consist of adding the cost of both the buns and turkey burgers.

The measure of angle 1 in the rhombus is determined as 74⁰.

How to calculate the measure of angle 1?

The measure of angle 1 is calculated by applying the following formula as shown below;

Each diagonal of a rhombus bisects the angle through which it passes.

Also, the opposite angles of a rhombus are equal.

The missing angles of the rhombus is calculated as follows;

(32 + 32) + 4(∠1) = 360 (sum of angles in a rhombus)

64 + 4∠1 = 360

4∠1 = 360 - 64

4∠1 = 296

∠1 = 296 / 4

∠1 = 74⁰

From the diagonal of the rhombus given, we calculated the value of angle 1 as ∠1 = 74⁰.

Answer:

14 /3- fraction

(Decimal: 4.666667)

Step-by-step explanation:

The value of the numerical expression is 26

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the expression be A = (2/5)^2 • 100 ÷ 2/3 + [2^4 ÷ (13 - 5)]

Now , on simplifying the equation , we get

A = ( 2/5 )² x 100 / ( 2/3 ) + [ 2⁴ / 8 ]

A = ( 4/25 ) x ( 100 x 3 ) / 2 + 2

So , the equation will be

A = 4/25 x ( 300/2 ) + 2

A = 4/25 x 150 + 2

A = 4 x 6 + 2

A = 24 + 2

A = 26

Therefore , the value of A is 26

Hence , The value of the numerical expression is 26

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ2

Answer:

360 miles

Step-by-step explanation:

15 times 8= 120 miles I. September

Times 3 in August=360 miles

Answer:

The center is (0,-5) and the radius is 9

Step-by-step explanation:

The equation of a circle can be given by

(x-h)^2 + (y-k) ^2 = r^2

where (h,k) is the center and r is the radius

(x-0)^2 + (y- -5) ^2 = 9^2

The center is (0,-5) and the radius is 9

Based on the results of the two-sample t-test, which yielded a p-value of 0.058 (larger than the significance level of 0.05), there isn't strong enough evidence to conclude that the mean delivery time from Japan to Texas is greater than that from Texas to Japan.

From the computer output of the two-sample t-test, we can see that the p-value given is 0.058. This p-value is used to determine the statistical significance of the results. Since the p-value is greater than the chosen significance level of 0.05, we fail to reject the null hypothesis. Keep in mind, that failing to reject the null hypothesis does not prove it to be true, it simply suggests that we do not have strong enough evidence against it.

Therefore, the conclusion that can be made from the data is: There is not convincing evidence that the mean delivery time from Japan to Texas is greater than the mean delivery time from Texas to Japan.

This means that while Frank and Lilly may have observed different delivery times, according to this data and the chosen significance level, those differences may as well be due to chance and not due to a true difference in mail delivery times.

https://brainly.com/question/32606144

#SPJ12

The two-sample t-test results indicate that there is not convincing evidence that the mean delivery time from Japan to Texas is greater than the mean delivery time from Texas to Japan. Thus, the difference in delivery times is not statistically significant at the 5% level.

To analyze the data collected by Frank and Lilly regarding the delivery times of their letters, a two-sample t-test was performed. The t-test results are summarized in the following way:

The P-value of 0.058 is greater than the significance level of 0.05, suggesting that there is not convincing evidence that the mean delivery time from Japan to Texas is greater than the mean delivery time from Texas to Japan. Therefore, we fail to reject the null hypothesis, meaning that the difference in delivery times is not statistically significant at the 5% level.

Answer:

16, and 32

Step-by-step explanation:

The common ratio are be multiply by 2.

Answer:

It takes Lucas 9 minutes to wash the dishes

Step-by-step explanation:

In this question, we are tasked with calculating the number of minutes it will take Lucas to wash the dishes given the amount of time he spends on cleaning his room.

since we do not know the amount of time it will take, we can represent this with t

Now what information do we have? we are told that this time t multiplied by 8 will be equal to the time in minutes he takes to clean his room.

Hence, mathematically, we have 8t = 72 minutes

t = 72/8

t = 9 minutes

Answer: correct answer is D

That is, If the average meal price increases by $1, the number of daily customers decreases by 18.

Step-by-step explanation:

Given that the linear model below represents this situation, where x is the average meal price (in dollars), and y is the number of daily customers.  Interpret the slope.

y = 437 - 18x

Since x = the average meal price.

and

y is the number of daily customers.

Let x = 1

Y = 437 - 18 = 419

If x = 2 then

Y = 437 - 36 = 401

The difference between the number of daily customers is

419 - 401 = 18

Therefore, If the average meal price increases by $1, the number of daily customers decreases by 18.

Answer:

Bethanie and Laney walked a total of = 0.66 miles or ([tex]\frac{33}{50}[/tex]th of a mile)

Step-by-step explanation:

Bethanie walked 3/10th of a mile

Laney walked 36/100th of a mile

Lets divide and convert them to decimal:

3 divided by 10 gives us 0.30

36 divided by 100 gives 0.36

Total they walked:

0.30 + 0.36 = 0.66 miles

That would be (in fraction):

66/100 = 33/50 of a mile

Answer:

[tex]4.82\cdot 10^{-4}[/tex]

Step-by-step explanation:

In a deck of cart, we have:

a = 4 (aces)

t = 4 (three)

j = 4 (jacks)

And the total number of cards in the deck is

n = 52

So, the probability of drawing an ace as first cart is:

[tex]p(a)=\frac{a}{n}=\frac{4}{52}=\frac{1}{13}=0.0769[/tex]

At the second drawing, the ace is not replaced within the deck. So the number of cards left in the deck is

[tex]n-1=51[/tex]

Therefore, the probability of drawing a three at the 2nd draw is

[tex]p(t)=\frac{t}{n-1}=\frac{4}{51}=0.0784[/tex]

Then, at the third draw, the previous 2 cards are not replaced, so there are now

[tex]n-2=50[/tex]

cards in the deck. So, the probability of drawing a jack is

[tex]p(j)=\frac{j}{n-2}=\frac{4}{50}=0.08[/tex]

Therefore, the total probability of drawing an ace, a three and then a jack is:

[tex]p(atj)=p(a)\cdot p(j) \cdot p(t)=0.0769\cdot 0.0784 \cdot 0.08 =4.82\cdot 10^{-4}[/tex]

Answer:

Median = 42  pounds

Step-by-step explanation:

It is given that the following are the weights,in pounds, of some dogs at a kennel: 36,45,29,39,51,49.

Arrange the data in ascending order.

29, 36, 39, 45, 49, 51

Total number of terms = 6 (even)

So, the formula for median is

[tex]Median=\dfrac{\frac{n}{2}\text{th term}+(\frac{n}{2}+1)\text{th term}}{2}[/tex]

[tex]Median=\dfrac{\frac{6}{2}\text{th term}+(\frac{6}{2}+1)\text{th term}}{2}[/tex]

[tex]Median=\dfrac{3\text{rd term}+4\text{th term}}{2}[/tex]

[tex]Median=\dfrac{39+45}{2}[/tex]

[tex]Median=42[/tex]

Hence, the median weight is 42 pounds.

To find the median, units of the data should be same. If one of the weights were given in kilograms, then we cannot find median.

Answer:

Step-by-step explanation:

Kyle has picked 5 1/3 bushels of apples

He want to pick b more bushels of apple to have 9 bushels in all

A) 5[tex]\frac{1}{3}[/tex] + b = 9 bushels

b) b = 9 - 5 [tex]\frac{1}{3}[/tex] = 3 [tex]\frac{2}{3}[/tex]

- Part A: The equation is [tex]\(\frac{16}{3} + b = 9\).[/tex]

- Part B: Kyle needs to pick [tex]\(3 \frac{2}{3}\)[/tex] more bushels of apples.

Let's break down the problem step by step.

Part A: Write an Equation

Kyle has already picked 5 1/3 bushels of apples. He wants to have a total of 9 bushels. We need to find out how many more bushels, b , he needs to pick.

First, convert the mixed number 5 1/3 into an improper fraction:

[tex]\[ 5 \frac{1}{3} = \frac{5 \times 3 + 1}{3} = \frac{15 + 1}{3} = \frac{16}{3} \][/tex]

Now we can write the equation for the total number of bushels he wants:

[tex]\[ \frac{16}{3} + b = 9 \][/tex]

Part B: Solve the Equation

To find b, we solve the equation:

[tex]\[ \frac{16}{3} + b = 9 \][/tex]

Subtract [tex]\(\frac{16}{3}\)[/tex] from both sides of the equation to isolate b :

[tex]\[ b = 9 - \frac{16}{3} \][/tex]

Convert 9 to a fraction with the same denominator as [tex]\(\frac{16}{3}\):[/tex]

[tex]\[ 9 = \frac{9 \times 3}{3} = \frac{27}{3} \][/tex]

Now perform the subtraction:

[tex]\[ b = \frac{27}{3} - \frac{16}{3} = \frac{27 - 16}{3} = \frac{11}{3} \][/tex]

Convert [tex]\(\frac{11}{3}\)[/tex] back to a mixed number if needed:

[tex]\[ \frac{11}{3} = 3 \frac{2}{3} \][/tex]

So, Kyle needs to pick:

[tex]\[ b = 3 \frac{2}{3} \text{ bushels} \][/tex]

Summary

- Part A: The equation is [tex]\(\frac{16}{3} + b = 9\).[/tex]

- Part B: Kyle needs to pick [tex]\(3 \frac{2}{3}\)[/tex] more bushels of apples.

Answer:

Amara need to feed 909090 kg of  444 pet dragons each day.

Step-by-step explanation:

Given:

454545 Kg of meat among the 222 pet dragons.

To Find:

Kg of meat required for 444 pets.

Solution:

Here Total of 222 pets eat 454545 meat

Assume that each dragon eat same amount of kg of meat

So each dragon will eat =454545/222 kg of meat

=2047.5  kg of meat for one dragon

We have 444 dragons  so they will consume as

444*2047.5 kg of meat

=909090 k g of meat required  for the 444 dragons .

OR you can also try as ,

There are total 222 given pets and 444 to be calculated ,

So 444 is twice of 222

Hence requirement for meat will be twice so

222 requires 454545 kg of meat

Hence by relationship

444 will require twice of 454545 i.e

444 will require 909090 kg of meat.

Answer:

20747.5

Step-by-step explanation:

Step-by-step explanation:

Simple

If Amelia is 10 years old and so half of Amelia age = 5

Caleb is 2 years more so = 5 + 2 = 7

It means Caleb age = 7

And Amelia age = 10

Answer: point B should be the 2nd number on the number line.

Step-by-step explanation:

the answer is shove it up your  whole

hAHA JK ITS B

Answer:

The possibility that John And sue both miss their shots = 0.39

Step-by-step explanation:

John makes 35% of his free throw shots = 0.35

The probability of John missing his shot = 0.65

Sue makes 40% of her free throw shot = 0.4

The probability of Sue missing his shot = 0.6

The possibility that John And sue both miss their shots = 0.65 (0.6)

= 0.39

Answer:

The distance of the foot of the ladder to the building is 14 ft.

Step-by-step explanation:

The length of ladder = 20 ft

Angle formed by ladder with level ground, θ = 46

We are required to find out the distance of the foot of the ladder from the building

The above question can be found out by using trigonometric relations as follows;

[tex]Cos\theta = \frac{Adjacent\, side \, to\, angle}{Hypothenus\, side \, of\, triangle}[/tex]

The adjacent side of the right triangle formed by the ladder the building and the ground is the distance of the foot of the ladder from the building

The hypotenuse side is the length of the ladder = 20 ft

Therefore;

Adjacent side of triangle = Hypotenuse × cosθ

∴ Distance of the foot of the ladder from the building = Hypotenuse × cosθ

Distance of the foot of the ladder from the building = 20 ft × cos(56)

Distance of the foot of the ladder from the building = 13.893 ft

To the nearest foot, the distance of the foot of the ladder to the building = 14 ft.

Answer:

7*4

14*2

Step-by-step explanation:

Answer:

Answers will vary

Step-by-step explanation:

There are many possibilities, especially if you're going beyond whole numbers, meaning decimals work as well

Whole numbers

1 and 28

2 and 14

4 and 7

Decimals

3 and 9.33 or 9 1/3

5 and 5.6

6 and 4.67 or 4 2/3

8 and 3.5

9 and 3.11

10 and 2.8

These are just a few simple ones, it gets even more complicated if you have two numbers both with decimals