A neighborhood is trying to set up school carpools, but they need to determine the number of students that need to travel to the elementary school (ages 5–10), the middle school (ages 11–13), and the high school (ages 14–18). A histogram summarizes their findings:

Answers

Answer 1

Answer:The data set that is represented in the histogram is {5, 6, 5, 11, 12, 13, 12, 13, 14, 15, 11, 18, 17, 13} Definition of a histogram An histogram is a graph that organises numerical data. The histogram is made up of rectangles whose area is equal to the frequency of the data and whose width is equal to the class interval. the frequency is usually on the vertical axis while the class interval is usually on the horizontal axis.Explaining the graphLooking at the histogram, the age group of 5 - 10 have 3 children in the carpool. the age group of 11 - 13 have 7 children in the carpool. the age group of 14 - 18 have 4 children in the carpool. This means that there are 14 children in the carpool. The correct option should have 14 ages that range between 5 and 18. Here are the options of this question: A. {3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4} B. {5, 10, 4, 11, 12, 13, 12, 13, 12, 11, 14, 14, 19, 18} C. {5, 6, 5, 11, 12, 13, 12, 13, 14, 15, 11, 18, 17, 13} D. {3, 5, 10, 11, 13, 7, 18, 14, 4}

Step-by-step explanation:

Related Questions

a number, n is multiplied by -5/8 the product is -0.4 how would you set this up to solve

Answers

The value of n in the mathematical statement is 0.64

How to solve the equation?

The statement is given as:

n multiplied by -5/8 equals -0.4

Rewrite properly as:

n * -5/8 = -0.4

Multiply both sides by -1

n * 5/8 = 0.4

Multiply both sides by 8/5

n = 0.64

Hence, the value of n in the mathematical statement is 0.64

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Can somebody help me solve this inequality

Answers

Answer:

108 cm²

Step-by-step explanation:

The composite shape can be divided as shown into a trapezoid and a triangle. The area of the shape is the sum of the areas of those parts.

trapezoid

The top portion of the shape is marked as a trapezoid with bases 12 cm and 6 cm, and height 6 cm. Its area is given by ...

A = 1/2(b1 +b2)h

A = 1/2(12 cm +6 cm)(6 cm) = 1/2(18 cm)(6 cm) = 54 cm²

triangle

The bottom portion of the shape is marked as a triangle. The triangle has a base of 12 cm and a height of (15 cm -6 cm) = 9 cm. Its area is ...

A = 1/2bh

A = 1/2(12 cm)(9 cm) = 54 cm²

total area

The area of the composite figure is the sum of the areas of its parts:

total area = trapezoid area + triangle area

total area = 54 cm² +54 cm² = 108 cm²

The area of the logo is 108 cm².

If a company reports operating profit of $70 million, earns net income of $50 million in year 8, has 20 million shares of common stock outstanding, pays a dividend of $1. 50 per share, and has annual interest costs of $15 million--all in year 8, then

Answers

The company's EPS for Year 8 would be $2.50 and its retained earnings for Year 8 would be $20 million

How do we calculate EPS and retained earnings?

Note: The options for the questions are as follows:

A. the company's total earnings for Year 8 would be $10 million (net income of $50 million less interest costs of $10 million less dividend payments of $30 million = $10 million).

B. the company's EPS for Year 8 would be $2.50 and its retained earnings for Year 8 would be $20 million (net income of $50 million less dividend payments of $30 million).

C. the company's credit rating would be no less than an A because operating profit is seven times higher than annual interest costs.

D. the company's EPS for Year 8 would be $5.50 and its retained earnings for Year 8 would be $10million (net income of $50 million less interest costs of $10 million less dividend payments of $30million).

E. the company's EPS for Year 8 would be $1.50 (operating profit of $70 million less interest costs of$10 million, less dividend payments of $30 million= $30 million divided by 20 million shares).

The question can now be answered as follows:

From the question, we can calculate the following:

EPS = Net income / Number of shares of common stock outstanding = $50 million / 20 million = $2.50

Dividend payments = Number of shares of common stock outstanding * Dividend per share = 20 million * $1. 50 = $30 million

Retained earnings = Net income - Dividend payments = $50 million - $30 million = $20million

Therefore, the correct option is B. the company's EPS for Year 8 would be $2.50 and its retained earnings for Year 8 would be $20 million (net income of $50 million less dividend payments of $30 million).

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Which set of ordered pairs represents a function

Answers

Answer:

C: is a function because each input (x) has exactly one output( y).

Step-by-step explanation:

A function is when one input (x) has exactly one output (y).

A: is not a function because -4 is paired with two different y values.

B: is not a function because -4 is paired with two different y values.

C: is a function because each input (x) has exactly one output( y).

D: is not a function because -1 is paired with two different y values.

find x in this two examples

Answers

The values of x in both figures are 45 and 34, respectively.

The value of x in (a)

Start by calculating the angle CAB using:

CAB + ABC + BCA = 180 --- angles in a triangle

The triangle is an isosceles triangle.

So, we have:

CAB + ABC + CAB = 180

Evaluate

2CAB + 25 + 75 = 180

This gives

CAB = 40

Calculate angle BEA using:

BEA + CAB + ABE = 180 --- angles in a triangle

This gives

BEA + 40 + 25 = 180

Evaluate

BEA = 115

Vertical angles are equal.

So, we have:

CED = BEA = 115

Calculate angle EDC using:

EDC + CED + DCE = 180 --- angles in a triangle

This gives

EDC + 115 + 30 = 180

Evaluate

EDC = 35

Opposite angles of quadrilaterals add up to 180.

So, we have:

x + EDC + ABC = 180

This gives

x + 35 + 25 + 75 = 180

Evaluate

x = 45

Hence, the value of x is 45

The value of x in (b)

Start by calculating the angle DEC using:

DEC + CDE + EED = 180 --- angles in a triangle

This gives

DEC + 18 + 30 = 180

Evaluate

DEC = 132

Vertical angles are equal.

So, we have:

AEB = DEC = 112

Calculate angle EAB using:

EAB + AEB + ABE = 180 --- angles in a triangle

This gives

EAB + 112 + 42 = 180

Evaluate

EAB = 26

Triangle ABC is an isosceles triangle.

So, we have:

BCE = EAB = 26

Calculate angle CBE using:

CBE + BCE + CEB = 180 --- angles in a triangle

Where CEB = 180 - DEC --- angle on a straight line

So, we have:

CBE + BCE + 180 - DEC = 180

This gives

CBE + 26 + 180 - 112 = 180

Evaluate

CBE = 86

Opposite angles of quadrilaterals add up to 180.

So, we have:

x + EDC + ABC = 180

This gives

x + 18 + 42 + 86 = 180

Evaluate

x = 34

Hence, the value of x is 34

Note that the figures are labeled to ease explanation (see attachment)

Answers

Answer:

x = -1

Step-by-step explanation:

(x1,y1) = (1,4) and m = 2

(y-y1)/(x-x1) = m

derive the linear function first before finding the zero.

(y-4)/(x-1) = 2

cross multiply

y-4 = 2(x-1)

y-4= 2x - 2

y = 2x - 2+4

y. = 2x + 2 is the linear equation

at y = 0 gives the zero

2x + 2 = 0

2x = -2

x = -2/2

x = -1 is the zero

8). Triangle A'B'C' is formed when Triangle ABC is
translated right by 4 and up by 2. Which statement is
true?

Choose all that apply:

1.The angles of Triangle ABC and Triangle A'B'C' are the
same

2.Triangle A'B'C' is congruent to the original triangle.

3.The perimeter of Triangle ABC and Triangle A'B'C' are
the same.

Answers

Answer:

Answer 2 is correct because triangle ABC is the same as the original just that the position has changed

Solve for x. Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale.

Answers

Answer: 13.3

Step-by-step explanation:

Since angles in a triangle add to 180 degrees, we know that in triangle UWV, [tex]m\angle U=50^{\circ}[/tex]. Thus, the triangles are similar by AA.

Since corresponding sides of similar triangles are proportional,

[tex]\frac{x}{24}=\frac{20}{36}\\x=(20/36)(24)=\boxed{13.3}[/tex]

State the values of the angles below:
i) acute ∠AOB=
ii) acute ∠COD=
iii) acute ∠BOC=
iv) acute ∠AOD=

Answers

The values of the angles are

i) acute ∠AOB = 10°

ii) acute ∠COD = 25°

iii) acute ∠BOC = 40°

iv) acute ∠AOD = 75°

Calculating the measured of angles

From the question, we are to determine the measures of the angles

i) acute ∠AOB

From the given diagram,

∠AOB = 10°

ii) acute ∠COD

From the given diagram,

∠COD= 25°

iii) acute ∠BOC

From the diagram, we can write that

∠AOB+∠BOC+ ∠COD + ∠DOE = 90° (Angles at a right angle)

10° + ∠BOC + 25° + 15° = 90°

∠BOC + 50° = 90°

∠BOC = 90° - 50°

∠BOC = 40°

iv) acute ∠AOD

From the diagram,

∠AOD = ∠AOB + ∠BOC +∠COD

∠AOD = 10° + 40° + 25°

∠AOD = 75°

Hence, the values of the angles are

i) acute ∠AOB = 10°

ii) acute ∠COD = 25°

iii) acute ∠BOC = 40°

iv) acute ∠AOD = 75°

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what is the sum of the ten thousand digit and the million's digit of 1,234,567,890

Answers

Answer: The ten thousand digit is 6. And the millions digit is 4. So the answer is 10.

Please help i been asking since yesterday
Calculate the perimeter of the triangle for problems

B. Calculate the area of the triangle for problems

Answers

Answer:

To calculate the perimeter of a triangle, add the length of its sides. For example, if a triangle has sides a, b, and c, then the perimeter of that triangle will be P = a + b + c.

Answer:

1) 21.24cm

2)19.8ft

3)22.84mm [2.284cm]

Step-by-step explanation:

To calculate the perimeter of a triangle, add the length of its sides.

1) perimeter = 5.4+8.84+7

=> 5.4+8.84+7 = 21.24,

21.24cm

2) perimeter = 6.6 + 6.6 + 6.6 i.e 6.6* 3

=> 6.6 x 3 = 19.8

19.8ft

3) perimeter = 8.3 + 4.9 + 9.64

=> 8.3 + 4.9 + 9.64 = 22.84

22.84mm or 2.284cm

AREA

1) it's a right triangle,

=> Area of a right triangle = 1/2 × base × height.

=> here, base is a and height is b

=> a = 7, b = 5.4

=> now we multiply it,

=> 7*5.4 = 37.8

=> now multiply it with 1/2,

=> 1/2 x 37.8 = 37.8/2

=> 37.8/2 = 18.9

2) it's an equilateral triangle,

18.8620

the formula is √3 a^2/ 4

=> √3* 6.6^2/ 4

=> 75.4481/4 = 18.8620

3) 20.335

base = a = 8.3

height = b = 4.9

=> 8.3 * 4.9 = 40.68

=> 40.68/2 = 20.335

hope this helps:)

THIS IS ALGEBRA 2 CAN ANYONE SOLVE IT FOR ME?

Answers

Answer:

(a) 128 ft

(b) 4 s

Step-by-step explanation:

Given information:

h(t) = height in feett = time in seconds after the launch

Part (a)

The height of the projectile at launch is the value of h(t) when t = 0 (the y-intercept).

Therefore, from inspection of the graph, the y-intercept is (0, 128).

So the height of the projectile at launch is 128 ft.

Part (b)

The length of time it took for the projectile to land is the time from the beginning (when t = 0) to when the height is 0 (the x-intercept).

From inspection of the graph, the x-intercept is (4, 0)

So the length of time it took for the projectile to land is 4 s.

Part (c)

The vertex is the turning point (minimum/maximum point).

Therefore, from inspection of the graph, the vertex is (1, 144).

The vertex represents the time and height at which the projectile was at its maximum. So at the time of 1 second, the projectile was at its maximum height of 144 ft.

Which of the following tables represent a function?

A.
X 3 3 4 4
Y 2 -2 3 -3

B.
X 5 -5 5 -5
Y 2 2 8 8

C.
3 3 5 5
Y 4 5 6 7

D.
X 4 -4 5 -5
Y 2 2 3 3

Answers

The 2 because I am goated

Step-by-step explanation:

divide $8 in the ratio 2:3

Answers

Answer:

3.2$ and 4.8$

Step-by-step explanation:

divide $8 in the ratio 2:3

8 : (2 + 3) = 1.6 (unity)

1.6 * 2 = 3.2 (ratio2)

1.6 * 3 = 4.8 (ratio 3)

----------

3.2 + 4.8 = 8

the answer is good

A computer randomly picks a number from the group 20, 21, 22, 23, 24, 25, 26, 27. What is the probability the number is greater than 24 or less than 21?

Answers

Answer:

The answer you're looking for is .5

Step-by-step explanation:

Cause 20 is less than 21, and 25, 26, and 27 is larger than 24, and that's 4 numbers. There's 8 numbers in total, so your answer is 4/8. Divide that by 4, and you get 1/2. That's 50%, if you're thinking out of "1" then it would be ".5"

Answer: 0.5 or 50%

Numbers-Set {20, 21, 22, 23, 24, 25, 26, 27}

Total outcomes: 8

numbers greater than 24 are 25, 26, 27 - 3 numbers

number less than 21 is 20 - 1 number

Total favorable outcomes: 3 + 1 = 4

Probability = favorable outcomes/total outcomes = 4/8 = 0.5

Whoever answers correctly gets 100 points and BRAINLIEST
Item 18
A trash can is shaped like a right rectangular prism. It has a base area of 3 square feet and a height of 314 feet.

What is the volume of the trash can?

4 7/8 ft³

6 1/4ft³

9 3/4ft³

12 1/2 ft³

Answers

Answer:

I think you may have made a typo, as it is extremely unlikely that a trashcan is 314 feet tall. I will assume that you meant 3.14 feet.

Step-by-step explanation:

We already have the base, so we can already cut out one step. If we were not given the base, however, we would simply multiply the length by the width of the prism. Next we multiply the base by the height (3 X 3.14) to get the volume of the prism, 9.42 cubic feet. In the case that there was no typo, and 314 was the correct height, the volume would be 942 cubic feet.

Volume

Base area×Height3×314942ft³

But unfortunately there is no option Present .

Let's correct question

make height =3.14ft

Volume=

9.42ft

Some how nearly present is 9-3/4 ft³ i.e 9.75ft³

Carlos has at most $40 to spend on food for a barbeque. He wants to buy hot dogs and hamburgers and then
Alls for each. Carlos has already spent $31.50 on the hot dogs and hamburgers. Let r represent the amount of
noney that Carlos can spend on the rolls.
Write and solve an inequality.

Answers

Answer:

$8.50

Step-by-step explanation:

I don't know what Alls are, but if Carlos insists, we can calculate how much he can spend on Alls with the expression:

($31.50) + r [tex]\leq[/tex] $40

This says the sum of what Carlos has already spent (hot dogs and hamburgers) plus the amount he spends on Alls (rolls?), r, must be equal to or less than the $40 he has allowed himself to spend.

($31.50) + r [tex]\leq[/tex] $40

r [tex]\leq[/tex] $40 - $31.50

r [tex]\leq[/tex] $8.50

A jeweler wants to combine a 60% gold alloy with a 20% gold alloy to make 1000 grams of 50% gold alloy. How many grams of 60% alloy should be used?

Answers

Answer:

750 grams of 60% alloy

Step-by-step explanation:

Define x = amount of 60% alloy and y = amount of 20% alloy

Equating the amounts of gold:

0.6x+0.2y = 1000(0.5)

Since there must be 1000 grams total:

x+y = 1000

Writing the 2 resulting equations together:

0.6x + 0.2y = 500

x + y = 1000

Multiply the first equation by 5:

3x + y = 2500

x + y = 1000

Subtracting the 2nd equation from the 1st:

2x = 1500

x = 750

Answer: 750 grams of 60% alloy

What is the slope of the line graphed below ? (3, 5); (0, 1); m = A 1/3 B. 3 C. - 3; - 1/3

Answers

Answer:

4/3 = m

Step-by-step explanation:

Since you have been given the value of two points, you can use the point-slope formula to find the slope. This general structure of this formula is:

y₁ - y₂ = m(x₁ - x₂)

In this equation, "m" represents the slope, "y₁" and "x₁" represent the values in the first point, and "y₂" and "x₂" represent the values in the second point,

To find the slope, substitute the values of each point into the formula and simplify.

Point 1: (3, 5)

Point 2: (0, 1)

y₁ - y₂ = m(x₁ - x₂) <----- Point-slope form

5 - y₂ = m(3 - x₂) <----- Plug values from Point 1 into equation

5 - 1 = m(3 - 0) <----- Plug values from Point 2 into equation

4 = m(3 - 0) <----- Simplify left side

4 = m(3) <----- Simplify inside the parentheses

4/3 = m <----- Divide both sides by 3

I am almost certain that my math is correct, yet my answer does not match any of the answers given. Perhaps I have been given the wrong points? For instance, the answer would be A.) if the value of Point 2 was (0,4).

Is 10h - 10 equal to10 - 10h

Answers

Answer:no

Step-by-step explanation:

it’s equal to -10 + 10h by the commutativity of addition and subtraction

PLEASE HELP!
Stephanie is running a 5K race. She wants to keep track of her time and her distance throughout the race. Identify the independent and dependent variable.
A. The independent variable is the length of the race. The dependent variable is the time.
B. The independent variable is the time. The dependent variable is the distance of the race.
C. The independent variable is the time. The dependent variable is Stephanie's distance.
D. The independent variable is Stephanie's distance. The dependent variable is the time.

Answers

Answer:

Step-by-step explanation:

It mentions she is running a 5K race. That means the distance of the race is fixed and will not change. That means :

Length of the race is the independent variable and the dependent variable is time.

Answer:

The correct answer is letter A

The tree diagram represents an
experiment consisting of two trials.

Answers

Answer:

P(D) = 0.65

Step-by-step explanation:

it's like following a path on map

each line is like a street length

First, it's 0.5 to A and then 0.6 to D.

Then, it's 0.5 to B and 0.7 to D.

P(D) = (0.5 times 0.6) + (0.5 times 0.7) =

P(D) = 0.30 + 0.35 = 0.65

A tree diagram is simply a way of representing a sequence of events.

Tree diagrams are particularly useful in probability since they record all possible outcomes in a clear and uncomplicated manner.

like chance of getting heads or tails on coin flips

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math is fun

Given the parent function of f(x) = x³, what is the value of k in the translated graph of f(x - h) + k?
int)
k=-3
k=-2
k=2
k=3

Answers

The value of k in the translated graph of f(x - h) + k is; k = 2

How to carry out Translations on Graphs?

We are given the parent function of f(x) = x³.

Now, the point (0, 0) in the graph of f(x) is the point (3, 2) in the translated graph. Thus;

The rule of translation is;

(x, y) → (x + 3, y + 2)

That means;

The translation is 3 units to the right and 2 units up

The equation of the translated graph is equal to;

f(x) = (x - 3)³ + 2

Thus;

The value of k is equal to 2.

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Define a quadrilateral.

please explain and help me pls

Answers

Answer:

A Quadrilateral is a 4 sided figure. In other words any shape that has 4 sides is a quadrilateral for example square, rectangle, trapezium etc

Step-by-step explanation:

1.
Which of these is equivalent to
A. 2-19
1
B.
27
1
C.
2
23
D.
(2-4)²x2-5
2-6
-?

Answers

The solution to the given indices are 1/2^7, 11^4 and -1/64

Indices expression

Give the following indices expression

[tex]\frac{(2^{-4})^2\times 2^{-5}}{2^{-6}} \\[/tex]

This can be further simplified according to the law of indices as:

[tex]\frac{(2^{-4})^2\times 2^{-5}}{2^{-6}} =\frac{2^{-8-5}}{2^{-6}}[/tex]

Determine the result

[tex]\frac{2^{-8-5}}{2^{-6}} = 2^{-7} = 1/2^7[/tex]

For the indices expression

[tex]11^{-4}\times 11^{8} = 11^{-4+8}=11^4[/tex]

For the indices expression

[tex]-4^4\times4^{-7}\\=-(4^{4-7})\\= -4^{-3}\\=-1/4^3\\=-1/64[/tex]

Hence the solution to the given indices are 1/2^7, 11^4 and -1/64

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Find the area of the blue region.
10 m
5.5 m
4m
A. 40 m²
B. 26.5 m²
C. 48 m²
D. 70 m²
7m

Answers

Answer:

the answer is 48m²

Step-by-step explanation:

mark me brainlist please!!

We write the integers from 1 to 150 inclusive. What is the total number of digits that must be written?

Answers

Answer:

342

Step-by-step explanation:

First, there are 9 one-digit numbers, so 9x1=9. Next, there are 90 two-digit numbers, so 90x2=180. There are 51 numbers between 100-150, so 51x3=153. Now, we do 9+180+153=342 digits.

Answer:

Step-by-step explanation:

Solution

Break the numbers down by the number of digits in that sequence.

Number of digits 1 to 9 = 9

Number of digits from 10 to 99

There are 90 numbers between 10 and 99

Each has 2 digits

The total number of digits is 180

Number of digits from 100 to 150

There are 51 numbers between 100 and 150

Each has 3 digits

The total number of digits = 3*51 153 Add

Total number of digits = 342

Answer: 342

Your school has a massive gym. It is 16 feet by 24 feet. You
want to figure out how many stations for the fundraiser you
can have. All the tables are squares but come in different
styles. What is the greatest square table you can use?

Answers

The greatest square that the gym would be able to use is the one that is of 19.6sq/m

How to solve for the square

The area of a triangle = L*W

= 24 * 16

= 384

To get the greatest square that can be gotten from the size of the gym would be

√384 = 19.6

Hence we can conclude that the greatest square table that can be used is 19.6 feet

Answers

Answer:

53712.4

Step-by-step explanation:

10^3 = 1000

To multiply a decimal by 1000, move the decimal point in the multiplicand by three places to the right.

so, 53.7124 becomes 53712.4

hope this helps :)

Click on the solution set graphic until the correct one is displayed.

Answers

The given graph has no element in its solution set

How to determine the solution set?

The given graph represents the graph of two different linear equations.

From the graph, we can see that both lines are parallel.

Parallel lines have no point of intersection.

And as such they do not have a solution

Hence, the given graph has no element in its solution set