The stemplot displays 26 students’ scores on a 90-point statistics test.

A stemplot titled Test scores has values 43, 45, 46, 51, 52, 53, 55, 57, 60, 63, 63, 65, 66, 67, 67, 69, 69, 71, 71, 72, 74, 76, 77, 79, 84, 85.

Which of the following best describes the center and variability of the distribution?

The scores on the test are centered around 63 and vary from 45 to 85.
The scores on the test are centered around 66 and vary from 43 to 85.
The scores on the test are centered around 66 and vary from 40 to 80.
The scores on the test are centered around 69 and vary from 45 to 85.

Answers

Answer 1

The scores on the test are centered around 66 and vary from 43 to 85.

What is the center and variability of the dataset?

A stemplot is a type of table where figures are divided into a stem and a leaf. The stem is the first number in the digit while the leaf is the last number. For example in the number 31, 3 would be the stem and 1 would be the leaf.

The range is used to measure variation. The range is the difference between the highest number and the smallest number. The largest number is 85 and the smallest number is 43.

The data would be centered around the median. The median is the number at the center of a dataset. The median is a measure of central tendency.

Median = (sum of numbers + 1) / 2

(26 + 1) / 2

= 27 / 2 = 13.5th number

(66 + 67) / 2 = 66.5

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Related Questions

Please help, been stuck on this for far too long and due in tmrw!

Answers

From rectangle F to G translation is -4 units to the x- direction and -3 units to the y- direction.

From rectangle G to H translation is 6 units to the x- direction and -1 units to the y- direction.

From rectangle F to H translation is 2 units to the x- direction and -4 units to the y- direction.

Given that,

In the picture we have a graph with 3 rectangles that is F, G, and H.

We have to find the translation of the rectangles.

We know that,

What is translation?

The transformation, i.e., f: X X, is a function, f, that maps to itself. Following the transformation, the pre-image X changes into the image X. Any operation, including translation, rotation, reflection, and dilation, may be used to create this transformation. A function can be moved in one direction or another by translation, rotated around a point by rotation, reflected in its mirror image by reflection, and scaled by dilation.

So,

From rectangle F to G translation is -4 units to the x- direction and -3 units to the y- direction.

From rectangle G to H translation is 6 units to the x- direction and -1 units to the y- direction.

From rectangle F to H translation is 2 units to the x- direction and -4 units to the y- direction.

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Elise and her mom are volunteering at an emergency relief center. To help prepare in case of a flood, they pack emergency kits with food and water. Elise puts 4 water bottles into each kit they pack. In all, she packs 120 water bottles. Which equation can you use to find the number of emergency kits K Elise packs?

Answers

4K = 120 can be used to find the number of emergency kits K Elise packs. The total number of emergency kits packed by Elsie and her mom are 30.

Here, we are given that Elise puts 4 water bottles into each emergency kit.

Let the number of kits packed = K

Then the total number of bottles packed = 4 × K

= 4K

Also, we are given that Elsie packs a total of 120 bottles.

Thus, we get the following linear equation-

4K = 120

We can use this equation to find the number of emergency kits K Elise packs.

dividing by 4 on both sides, we get

4K/4 = 120/4

K = 30

Hence, the total number of emergency kits packed by Elsie and her mom are 30.

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The area of a rectangular garden is 7584 ft squared If the width of the garden is 79 feet, what is its length?

Answers

Length = Area/Width

7584/79 = 96 feet

96 x 79 = 7584 ft²

Answer = 96

Answer: 96

Step-by-step explanation:

Length = Area/Width

7584/79 = 96 feet

96 x 79 = 7584 ft²

Two ships A and B take off at the same time from the same spot at a harbour. Ship A travels west with a speed of 40 km/h, while ship B travels north at a speed of 50 km/h. Determine, to the nearest integer, how fast the distance between the ships is increasing when they are 0.5 hours away from the harbour. Use the units as given in the question but write down only the numerical value of your answer without the unit.

Answers

Using the Pythagorean Theorem and implicit differentiation, it is found that the distance between them is increasing at a rate of 2050 km/h when they are 0.5 hours away from the harbor.

What is the Pythagorean Theorem?

The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:

[tex]h^2 = l_1^2 + l_2^2[/tex]

For this problem, we have that since the ships are moving west and north, the distance between them as a function of the time will be given by the hypotenuse of a right triangle, as follows:

d² = x² + y².

In which;

x is the position of Ship A(moving horizontally).y is the position of Ship B(moving vertically).

Applying implicit differentiation, the rate of change of the position is given as follows:

[tex]2\frac{dd}{dt} = 2x\frac{dx}{dt} + 2y\frac{dy}{dt}[/tex]

[tex]\frac{dd}{dt} = x\frac{dx}{dt} + y\frac{dy}{dt}[/tex]

From the velocities, we have that:

[tex]\frac{dx}{dt} = 40, \frac{dy}{dt} = 50[/tex]

From the velocities, and the time of half an hour, the positions are given as follows:

x = 0.5 x 40 = 20, y = 0.5 x 50 = 25.

Hence:

[tex]\frac{dd}{dt} = x\frac{dx}{dt} + y\frac{dy}{dt}[/tex]

[tex]\frac{dd}{dt} = 20(40) + 25(50)[/tex]

dd/dt = 2050.

The distance between them is increasing at a rate of 2050 km/h when they are 0.5 hours away from the harbor.

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If DE = 4x + 10, EF = 2x-1, and DF = 9x-15, find DF

Answers

The measure of segment DF from the given question is 21

Addition postulate

In line geometry, a line is the distance between two points while an angle is the point where two lines intersect.

Given the following parameters

DE = 4x + 10, EF = 2x-1, and DF = 9x-15,

Required

DF

Using the addition postulate

DE + EF = DF

Substitute

4x+10 + 2x -1= 9x - 15

6x + 11 = 9x - 1

6x - 9x =  -1 - 1

-3x = -12

x = 12/3

x = 4

For DF

DF =  9(4) - 15

DF = 21

Hence the measure of segment DF from the given question is 21

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You decide you need a new computer. The cost of the computer is $864. However, the store also offers a rent to own option which will cost $41 per week for 24 weeksHow much more will the rent to own option cost after you have made all of the payments?

Answers

Answer:

120

Step-by-step explanation:

the difference = 24×41-864=120

Kathi and Robert Hawn had a pottery stand at the annual Skippack Craft Fair. They sold some of their pottery at the original price of $13.50 ​each, but later decreased the price of each by ​$4.00. If they sold all 91 pieces and took in $972.50​, find how many they sold at the original price and how many they sold at the reduced price.

Answers

The number sold at the original price is 27 and they sold 64 at the reduced price.

How to calculate the value?

Let x = number of pieces sold at 13.50

Let y = number of pieces sold at 9.50

The equation will be:

x + y = 91. ..... i

13.50x + 9.50y = 972.50 ..... ii

From equation i x = 91 - y

13.50x + 9.50y = 972.50

13.50(91 - y) + 9.50y = 972.50

1228.50 - 13.50y + 9.50y = 972.50

1228.50 - 4y = 972.50

4y = 1228.50 - 972.50

4y = 256

y = 256/4

y = 64

Since x + y = 91

x = 91 - 64 = 27

Therefore, the number sold at the original price is 27 and they sold 64 at the reduced price.

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A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 2 small boxes has a total weight of 117 kilograms. A delivery of 3 large boxes and 8 small boxes has a total weight of 164 kilograms. How much does each type of box weigh?

Answers

THIS ANSWER WAS DELETED DUE TO NOT BEING TRUE.

Please show me how you got the answer. Will give brainliest.

Answers

Answer:          410 possible points

To solve for the possible points in the course, use a proportion and cross multiply.

What is a proportion?

A proportion is two fractions that are equal to each other. For the fractions to be equal, they are proportionate. In our math problem, percentage is proportionate the the number of points.

The fractions represent information you have, and one variable will represent what you are solving for.

Given

Your points = 361

Points to get an 'A' = your points + 8

'A' = 90% of possible points

Find the points needed for an 'A' at 90%

Points to get an 'A' = your points + 8

= 361 + 8

= 369

State variables

let x be the amount of possible points

Write a proportion

We know the number of points for 90% is 369 points. Remember that 90% is the same as 90/100.

Keep the information with the same units inside the same fraction. Here, percentage is represented by the first fraction. Points is represented by the second fraction.

[tex]\displaystyle{\frac{90}{100}=\frac{369}{x}}[/tex]

Solve

We can solve using cross multiplication. This is when we multiply each numerator by the denominator from the other fraction.

[tex]90x = 369*100[/tex]        Simplify by multiplying.

[tex]90x = 36,900[/tex]            Isolate the variable x.

[tex]\displaystyle{\frac{90x}{90} = \frac{36,900}{90}}[/tex]           Divide both sides by 90 to cancel out 90 on the left.

[tex]\displaystyle{x = \frac{36,900}{90}}[/tex]              Divide.

[tex]x = 410[/tex]                    Solved for x, representing the possible points.

∴ The possible points in the art course is 410.

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Answer:

410 possible points

Step-by-step explanation:

PLS HELP ASAP
(50 POINTS)

3. Do the functions below show a direct linear variation or not? Explain why or why not.
You may want to use a graphing calculator, like Desmos, to look at the shapes these equations make.

Answers

Using proportional relationships, we have that:

A. The function does not show a direct linear relationship.

B. The function shows a direct linear relationship.

C. The function does not show a direct linear relationship.

What is a proportional relationship?

A proportional relationship is a function in which the output variable is given by the multiplication of the input variable and the constant of proportionality k, in the case of a direct relationship, as follows:

y = kx

In the case of an inverse relationship, we have that:

y = k/x.

From the format of these equations, we have that:

Item a shows an inverse relation, as x is in the denominator.Item b shows a direct relation, as x is in the numerator.

A function is classified as linear if the exponent of x is of 1, hence item c does not show a linear function.

What is the missing information?

The functions A, B, C are missing, and are given as follows.

A. 9/x.

B. x/11.

C. x²/8.

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Write an equation in slope- intercept form for the line described.
parallel to y = -3x + 4, x- intercept at 4

Answers

Answer:

y = -3x + 12

Step-by-step explanation:

If two lines are parallel, their slopes are equal, then m = -3

x intercept is 4 then y = 0

y = mx + b

0 = -3(4) + b

b = 12

y = -3x + 12

The distance between City A and City B is 2700 miles. On a certain wall​ map, this distance is represented by 9 inches. The actual distance between City C and City D is 4100 miles. How far apart are they on the same​ map?

Answers

The distance between City C and City D is represented by 13.67 inches on a certain wall​ map.

What is Ratio?

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

Let x inches would be far apart are they on the same​ map

We can write this as a ratio as

As per the given information,

9 inches : 2700 miles = x inches : 4100 miles

⇒ 9/2700 = x/4100

⇒ x = (4100×9)/2700

⇒ x = 13.67 inches

Therefore, on a certain wall​ map, the distance between City C and City D is represented by 13.67 inches.

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Sub: x=4 into
Y= x^2 +4x -3
Y= 5x + 3

Answers

here’s what I got:

y=x^2 +4x -3 - y = 29

y = 5x + 3 - y = 23

here’s my work:

XZ is the perpendicular bisector of segment WY. WY = 64. Solve for k. Enter a NUMBER only.

Answers

2(6k+2)=64

12k+4=64

12k=60

k=5

The table shows some values of x and y that satisfy the equation y = acosx + b
180

120
150
4 -3V3
-2

0
30
60
10
4 + 3V3
7
Find the value of y when x = 45

X

90
4

Answers

180+ 123=257 thanks again for your help

given the function f(x)=-13+7x find the indicated function values

a. f(5)
b. f(-9)
c. f(0)

Answers

The answers of the following part are:

a) 22

b) -76

c) -13

For solving this particular sum we need to know the about functions Function is generaaly defined as a set of inputs having one output each. every function as a domain and a co-domain or range. A function is generally denoted by f(x) where x is the variable and it is also the input.The general representation of function is y = f(x).

In the given sum we will just put the values in place of x and will find the answer

The given equation is f(x)=-13+7x

a) Here it is given f(5)  so we will put 5 in all places of x

Substituting the value x as 5 we will get :

f(5) = -13+7*5

= -13+35

=22

the value f(5) will be 22

b) In this part of the vaule of x is given as -9

Substituting the value of x as -9 we get

f(-9)=-13+7*(-9)

= -13-63

= -76

the valur of f(-9) is -76

c) here the value of x is given as 0

Substituting the value of x as 0

f(0)= -13+7*0

= -13+0

=-13

the value of f(0) is -13

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By rounding to 1 significant figure, estimate the answers to these questions: 476 × 2354

Answers

answer:

1,120,504

Step-by-step explanation:

I don't really have one but I'm sure

Check all relationships between 1 and 22.

Answers

Answer:

adjacent , linear pair ,

Step-by-step explanation:

and i don't think there is something else

Express the formula V = r². H in terms of the height, H. Use that formula to find the height when the volume is
45 and the radius is 3.
H =
-²; H = 30
H =
₁H=5
C H =
₁; H = 7.5
2.zr
C H = 1; H = 15

Answers

The formula in terms of H is H = V ÷ πr². Value of height is 5.

We are given the formula -

V = πr²H, where V represents volume and H represents height. To rewrite the formula in terms of H, we will shift it to Left Hand Side -

H = V ÷ πr²

Keep the value of Volume and radius in formula to find the height.

H = 45π ÷ π(3)²

Taking square of 3 and cancelling π

H = 45 ÷ 9

Performing division to find the value of height

H = 5

Therefore, the formula is V ÷ πr² and value of height is 5.  

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The complete question is attached in figure.

Hector earns $12 an hour plus a daily per diem of $15. This week he worked 4 days and earned a total of $444. Write an equation to find how many hours Hector worked this week.

Answers

The number of hours Hector worked this week is 32 hours.

Equation to find how many hours Hector worked this week.Amount Hector earned per hour = $12Additional amount earned daily = $15Number of days Hector worked this week = 4 Total amount Hector earned = $444Number of hours worked = x

444 = 15(4) + 12(x)

open parenthesis

444 = 60 + 12x

substract 60 from both sides

444 - 60 = 12x

384 = 12x

divide both sides by 12

x = 384/12

x = 32 hours

check:

444 = 60 + 12x

444 = 60 + 12(32)

444 = 60 + 384

444 = 444

Therefore, the number of hours Hector worked this week is 32 hours.

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The function is not differentiable at x

Answers

The correct value of m = 6 and b = -9.

The function f(x) is differentiable at x = 3 and we know that if a function is differentiable at some point means that it is continuous at that point also.

Here function is continuous at x = 3 piecewise

m(3) + b = (3)²

3m + b = 9 .....(1)

and function is differentiable at ( x = 3 ) piecewise

d/dx ( m * x + b ) = d/dx (x)² at ( x= 3 )

( m + 0 ) = 2x  at ( x = 3 )

m = 2 * 3

m = 6

By placing the value of m in equation (1)

3m + b = 9

3 * 6 + b = 9

18 + b = 9

b = 9 - 18

b = -9

Therefore, the value of m = 6 and b = -9.

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The sum of two numbers is 4. Three times the larger number plus two times the smaller number is 26. Find the numbers.
The larger number is and the smaller number is

Answers

The larger integer number is 18 and the smaller integer number is -14.

Integers are the subset of Rational numbers which contains all numbers except fraction and decimals

Numbers are the building blocks of mathematics. Numbers are used to count ,measure or label quantities.

The different types of numbers are:

Real numbers: 89.26 , -847 , 4/5irrational numbers √2 ,√3 imaginary numbers (5 + 9i) Integers -89 , 65 , 45

Let the smaller number be x. The sum of the numbers is 4 .

So the larger number is 4 - x

Again given that sum of three times the larger number and 2 times the smaller number is 26.

∴3 ( 4-x )+ 2x = 26

or, 12 -3x +2 x = 26

or, -x = 26-12

or, x = -14

Therefore the larger number is 4-(-14)= 18

Hence the larger integer number is 18 and the smaller number is -14 .

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the sum of nine consecutive natural numbers, the first of which is n?

Answers

Answer:

What is the sum equal to?

Step-by-step explanation:

state whether each function is a linear function. write yes or no. explain.
xy = - 1

Answers

Answer:  It's not linear.

Step-by-step explanation: A linear function must have a degree of 0 or 1. This function equals to y= -1/x. -1/x has a degree of negative 1 since x^-1 =1/x. So this is not linear.

4. The average mass of a grain of one type of sand is 7 x 10-4 gram. There are 1,000 grains of the sand in 1 cubic centimeter. What is the mass, in grams, of 1 cubic centimeter of the sand in scientific notation? ​

Answers

The mass, in grams, of 1 cubic centimeter of the sand in scientific notation is 7 x 10^(-1).

What is scientific notation?

Scientific notation is a way of writing very large or very small numbers.

Now it is given that,

Average mass of grain = 7 x 10-4 gram

Number of grains in 1 cubic centimeter = 1,000 grains =  10^3 grains

Thus,

Mass of 1 cubic centimeter of the sand = Average mass of grain * Number of grains in 1 cubic centimeter

⇒ Mass of 1 cubic centimeter of the sand =  7 x 10-4 * 10^3 grams

⇒ Mass of 1 cubic centimeter of the sand =  7 x 10^(-4+ 3) grams

⇒ Mass of 1 cubic centimeter of the sand =  7 x 10^(-1) grams

Thus, the mass, in grams, of 1 cubic centimeter of the sand in scientific notation is 7 x 10^(-1).

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PLEASE HELP FAST I ONLY HAVE ONE HOUR!!!!!!!

Answers

The probability that if 3 donations are made, all 3 of them can be safely used on blood transfusion with someone that has type A will be D. (0.27 + 0.49)³ = 0.4390

How to calculate the probability?

It should be noted that probability simply means the chance that a particular event will occur.

In this case, the probability that if 3 donations are made, all 3 of them can be safely used on blood transfusion with someone that has type A will be:

= (27% + 49%)³

= (0.27 + 0.49)³

= 0.4390

The probability is 0.4390.

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here are four lengths of wood ​

Answers

How am I supposed to answer

Write the slope-intercept equation of the function f whose graph satisfies the given conditions.
The graph of f passes through (-8,6) and is perpendicular to the line that has an x-intercept of 4 and a y-intercept of -8.
The equation of the function is
(Use integers or fractions for any numbers in the equation.)

Answers

Answer:

i don't know the answer

Step-by-step explanation:

33575357853222467

ufee

Can you please tell me how to solve this????

Answers

Answer:

-2

Step-by-step explanation:

You have to simplify numerator and denominator through factoring. The you should get an expression involving only a + b which is given as -2

Take numerator
[tex]a^2-b^2-12b-36[/tex]

Factor
[tex]-b^2-12b-36[/tex]

[tex]= - (b^2 + 12b + 36)\\\\= -(b+6)^2[/tex]

So numerator becomes
[tex]a^2-\left(b+6\right)^2[/tex]

Apply difference of squares formula: [tex]\displaystyle x^2-y^2=\left(x+y\right)\left(x-y\right)[/tex]

[tex]\mathrm{with\;} x^2 == > a^2, and y^2 == > (b + 6)^2[/tex]

[tex]\implies a^2-\left(b+6\right)^2 \\== \left(a+\left(b+6\right)\right)\left(a-b-6\right)[/tex]

Denominator
[tex]a^2-6a-b^2-6b[/tex]

can be factored as follows

[tex]a^2-b^2 = (a + b) (a -b)[/tex]
[tex]-6a-6b = -6\left(a+b\right)[/tex]

So denominator becomes
[tex]\left(a+b\right)\left(a-b\right)+-6\left(a+b\right)[/tex]

Factor out common term (a+b) to get
[tex]\left(a+b\right)\left(a-b-6\right)[/tex]

So the original expression with Numerator and denominator

[tex]\displaystyle =\frac{\left(a+b+6\right)\left(a-b-6\right)}{\left(a+b\right)\left(a-b-6\right)}[/tex]
Cancel the common factor (a-b-6) to get
[tex]\displaystyle \frac{a+b+6}{a+b}[/tex]

Since a + b = -2, plug in this value of (a+b) in both numerator and denominator to get
[tex]\displaystyle \dfrac{-2 + 6}{-2}[/tex]
[tex]\displaystyle = - 2[/tex]

Answer: -2





Abby knows that 1 mile is about 1.61 kilometers. She wants to write an equation she can use to convert
any given distance in miles (m) to kilometers (k).
How should Abby write her equation?

Answers

Abby should write her equation as k = 1.61m.

The correct option is B.

What is an equation?

A pair of algebraic equations with the equal symbol (=) in the center and the same value are referred to as an equation.

Given:

Abby knows that 1 mile is about 1.61 kilometers.

To write an equation, which she can use to convert any given distance in miles (m) to kilometers (k):

Let m be the total number of miles and k be the kilometers.

So, the equation is,

k = 1.61m

Where 1.61 is multiplied by m.

Therefore, the equation is k = 1.61m.

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