Malachi asks students in his class, "How long does it take you to get to school?" The histogram shows the data. Which statement best describes the distribution?

Using the formula for the midpoint of the line with given points  A and B as the end points of the line, the coordinates of the point B is (6,-8).

To find the midpoint of a line segment, you must first find the coordinates of the two endpoints of the segment. Then, take the average of the x-coordinates and the y-coordinates to find the x and y coordinates of the midpoint. This can be done by adding the x-coordinates and y-coordinates of the two endpoints together and then dividing by 2.

What is the formula for finding the midpoint of a line segment?

The formula for finding the midpoint of a line segment is:

Midpoint = ( (x1+x2)/2 , (y1+y2)/2 )

Where (x1,y1) and (x2,y2) are the coordinates of the two endpoints of the line segment.

Using the given coordinates of point A(8,-6) and the midpoint M(7,-7) of the line,  and using the midpoint formula for a line AB,

Midpoint(M) = \((\frac{x1+x2}{2},\frac{y1+y2}{2} )\)

where x1, y1 are coordinates of point A , and x2, y2 are the coordinates of point B

so , (7,-7) = \((\frac{8+x2}{2} , \frac{-6+y2}{2})\)

equating the corresponding points,

7 =(8+x2)/2

therefore, x2 = 6

and , -7 = (-6+y2)/2

therefore , y2 = -8

Hence the coordinates of B is , (x2,y2 ) = (6,-8)

To learn more about midpoint of a line visit:

https://brainly.com/question/28224145

#SPJ1

The value of x for which the two lines are parallel is given as follows:

x = 60º.

We have two parallel lines that are cut by a transversal, and the two angles are between the parallel lines and on the same side of the transversal, meaning that they are consecutive interior angles.

Consecutive interior angles are supplementary, meaning that the sum of their measures is of 180º, hence the value of x can be found as follows:

x + 2x = 180

3x = 180º

x = 180º/3

x = 60º.

The figure is given by the image presented at the end of the answer.

More can be learned about angle measures at brainly.com/question/24607467

#SPJ1

The unknown angle in the cyclic quadrilateral is as follows:

∠R = 86 degrees

The diagram above is cyclic quadrilateral. A cyclic quadrilateral is a four sided shape that can be inscribed into a circle.

The sum of angles in a cyclic quadrilateral is 360 degrees. The opposite angles in a cyclic quadrilateral is supplementary.

Hence, let's find the unknown angle.

∠R = 1 / 2 (92 + 80)

∠R = 1 / 2 (172)

∠R = 86 degrees

Therefore, the unknown angle is 86 degrees.

learn more on arc angle here: https://brainly.com/question/9806509

#SPJ1

Answer:

A) An alternating series is a "SERIES" whose terms are "ALTERNATIVELY POSITIVE AND NEGATIVE"

B) -It's nth term converges to zero.

- Its terms are non-increasing. This means that each term is either less than or equal to it's predecessor provided we ignore the minus signs.

C) |R_n| = |S - S_n| ≤ |a_(n+1)|

Step-by-step explanation:

A) An alternating series is a "SERIES" whose terms are "ALTERNATIVELY POSITIVE AND NEGATIVE"

B) The 2 conditions for an alternating series to converge are;

-It's nth term converges to zero.

- Its terms are non-increasing. This means that each term is either less than or equal to it's predecessor provided we ignore the minus signs.

C) If the conditions in B above are satisfied, then we can write for the remainder terms that;

|R_n| = |S - S_n| ≤ |a_(n+1)|

Where;

R_n is remainder after n-terms

S is sum of the first n-terms

The product of the binomials f(x) and g(x) is 3x² - 16x  +16.

What is a binomial function?

The discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and each with its own Boolean-valued outcome: success or failure, is known as the binomial distribution with parameters n and p.

Here, we have

Given: The points of line f are (0,1) and (-1,-2).

The points of line g are (-3,0) and (-1,2).

The slope of a line can be given as,

m = (y₂ - y₁)/(x₂ -x₁)

The slope of the line g is,

m₁ = (-2-1)/(-1)

m₁ = 3

In the graph, the Y-intercept of line f is -4. Therefore the equation of line f  is,

f(x) = m₁x + c

f(x) = 3x - 4

The slope of the line g is,

m₂ = (2-0)/(-1+3)

m₂ = 1

In the graph, the Y-intercept of line g is -4. Therefore the equation of line g  is,

g(x) = m₂x + c

g(x) = x - 4

Now the product of the binomials f(x) and g(x) is,

f(x) × g(x) = (3x - 4)( x - 4)

= 3x² - 16x  +16

Hence, the product of the binomials f(x) and g(x) is 3x² - 16x  +16.

To learn more about the binomial function from the given link

https://brainly.com/question/15278907

#SPJ1

Answer:

28

25

27

Step-by-step explanation:

Answer

Together, they have 99 marbles.

Explanation

Ravi has 33 marbles.

His brother has twice (two times) as many marbles as him. Ravi's brother has 33×2=66 marbles.

Together, they have 33+66=99 marbles.

Together, they have 99 marbles.

A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics. For instance, the product of 5 and 6 is 30.

given

Ravi has 33 marbles.

His brother has twice (two times) as many marbles as him. Ravi's brother has 33×2=66 marbles.

Together, they have 33+66=99 marbles.

To learn more about multiplication refer to:

https://brainly.com/question/134018

#SPJ2

Answer:

$33,350

Step-by-step explanation:

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$29000\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{each year, thus once} \end{array}\dotfill &1\\ t=years\dotfill &3 \end{cases} \\\\\\ A=29000\left(1+\frac{0.05}{1}\right)^{1\cdot 3}\implies A=29000(1.05)^3\implies A\approx 33571.13\)

Therefore, at least 49 street lights can be installed along one side of the street with equal distance between the lights.

An equation is a mathematical statement that shows that two expressions are equal. It consists of two parts: the left-hand side (LHS) and the right-hand side (RHS), separated by an equals sign (=). The equals sign indicates that the two expressions are equal, and the goal of solving the equation is to find the value of x that makes this statement true. Equations can be solved using various algebraic techniques, such as simplifying and rearranging the expressions, applying operations to both sides of the equation, and factoring or expanding expressions. Solving an equation involves finding the values of the variables that make the equation true.

Here,

The distance between point A and B is AB, and the distance between point B and C is BC. Let's assume that the distance between each street light is "d".

Since there must be a street light at points A, B, and C, there will be a total of two gaps between these three street lights, which are AB and BC. Thus, the number of street lights required is equal to the sum of the lengths of AB and BC, divided by the distance "d" between the street lights, plus 1 for the street light at point B.

So, the total number of street lights required is

Number of street lights = (AB + BC) / d + 1

We know that AB = 1170 m and BC = 1625 m, and the distance between each street light should be equal. Therefore, we need to find the greatest common factor (GCF) of 1170 and 1625 to determine the distance between each street light.

1170 = 2 x 3 x 3 x 5 x 13

1625 = 5 x 5 x 13

The GCF of 1170 and 1625 is 65, which means the distance between each street light should be 65 meters.

Now we can calculate the total number of street lights required:

Number of street lights = (1170 + 1625) / 65 + 1

= 49

To know more about equation,

https://brainly.com/question/28243079

#SPJ9

The equation -1.5x = 4(x + 2.18) solved for x is -1.59. Option C

Algebraic expressions are described as expressions that are mainly composed of variables, terms, constants, coefficients and factors.

These expressions are also composed of arithmetic operations, such as;

From the information given, we have that;

-1.5x = 4(x + 2.18)

expand the bracket

-1. 5x = 4x + 8.72

Now, collect like terms, we get;

-1.5x - 4x = 8.72

subtract the like terms

-5.5x = 8.72

Divide both sides by the coefficient of x

x = -1.59

Hence, the correct option is Option C

Learn about algebraic expressions on:

https://brainly.com/question/4344214

#SPJ1

Complete question:

Solve the following equation for x. Round the answer to the nearest hundredth.

−1.5x= 4(x + 2.18)

A. 0.63

B. 3.49

C. -1.59

D. -0.40

The probability that a student chosen at random from Jared's class does not own a trampoline is 5/12.

The probability that the student does not own a trampoline is equal to the number of students who do not own a trampoline divided by the total number of students in the class.

The number of students who do not own a trampoline is equal to the total number of students in the class minus the number of students who own a trampoline:

24 - 14 = 10

Therefore, the probability that a student chosen at random from Jared's class does not own a trampoline is:

P(not owning a trampoline) = 10/24

Simplifying the fraction,

P(not owning a trampoline) = 5/12

Therefore, the probability that a student chosen at random from Jared's class does not own a trampoline is 5/12.

To know more about probability follow

https://brainly.com/question/11234923

#SPJ1

Answer:

The graph of the parent function y = 2^x can be transformed to create the graph of y = 2^(3x) by horizontally compressing by a factor of 3. Therefore, the correct answer is C.

This table shows the frequency of each number obtained after throwing the die 35 times

To prepare a frequency table based on the numbers obtained from throwing a die 35 times, we can list the numbers from 1 to 6 and count the frequency of each number.

Numbers: 1, 2, 3, 4, 5, 6

Frequency: 5, 14, 6, 4, 5, 1

Based on the given numbers, the frequency table would look like this:

Number   | Frequency

1                      5

2                     14

3                      6

4                      4

5                      5

6                       1

This table shows the frequency of each number obtained after throwing the die 35 times.

Learn more about frequency table at https://brainly.com/question/27820465

#SPJ1

Answer:

42 yards

Step-by-step explanation:

Given that Jennie could mkae 7 quilts out of 21 yards of material:

We could establish a proportion to find the value of x yards of material required to make 14 quilts:

21 yards/7 quilts =  x yards / 14 quilts

\(\frac{21}{7} = \frac{x}{14}\)  ⇒ Perform cross-multiplication:

7x = 21 × 14

7x =  294

Divide both sides by 7 to solve for x:

\(\frac{7x}{7} = \frac{294}{7}\)

x = 42 yards

Therefore, Jennie needs 42 yards of material in order to make 14 quilts.

Answer:

1/36

Step-by-step explanation:

For each roll, the probability that the die rolls a 3 is 1/6

So, for it to happen on both dice is 1/6 * 1/6 = 1/36

The probability that an event will repeat its self for independent events is given by the square of the probability of the event occurring

Reason:

Number of faces in a fair die = 6 faces

Numbers on the faces of a fair die = 1, 2, 3, 4, 5, and 6

Number of 3s on the face of a fair die = 1

Probability that a roll of a fair die gives the face of 3, P(3) = \(\dfrac{1}{6}\)

The probability that two rolls of a fair die are both, is given as follows;

P(Both 3) = P(3 and 3) = P(3 ∩ 3)

The and condition of two independent probabilities is the product of the two probabilities, therefore;

P(3 ∩ 3) = \(\dfrac{1}{6} \times \dfrac{1}{6} = \dfrac{1}{36}\)

The probability that both rolls are 3s P(Both 3s) = \(\underline{\dfrac{1}{36}}\)

Learn more here:

https://brainly.com/question/16543402

The total number of coins that were in Kay's bank are 137 coins.

In order to determine the number of dimes and nickels, we would assign a variables to the unknown numbers and then translate the word problem into algebraic equation as follows:

Since she has 11 less dimes than nickels, an equation which models this situation is given by;

n = d + 11     ....equation 1.

Note: 1 nickel is equal to 0.05 dollar and 1 dime is equal to 0.1 dollar.

Additionally, the coins are worth 10 dollars;

0.1d + 0.05n = 10 ....equation 2.

By solving both equations simultaneously, we have:

0.1d + 0.05(d + 11) = 10

0.1d + 0.05d + 0.55 = 10

0.15d = 9.45

d = 63 dimes.

For nickels, we have:

n = d + 11

n = 63 + 11

n = 74

Now, we can determine the total number of coins;

Total number of coins = n + d

Total number of coins = 74 + 63

Total number of coins = 137 coins.

Read more on equations here: brainly.com/question/1511173

#SPJ1

Answer:

A.=False

B.=True

C.=False

D.=True

Step-by-step explanation:

The original ration is 2 gallons of water for 4 players.

Each player requires 1/2 gallon of water.

To get the amount of water needed multiply 1/2 by the amount of players.

1*(1/2) does not equal 1

2*(1/2) equals 1

10*(1/2) does not equal 4

30*(1/2) equals 15

The value of the given expression, -50 + 5/13p, when p = -26 is -60

From the question, we are to evaluate the given expression for the given value of p

The given expression is

-50 + 5/13p

and

The given value of p is p = - 26

Substitute the given value of p into the given expression

That is,

-50 + 5/13p

When p = -26, the expression becomes

-50 + 5/13(-26)

Simplify

-50 + 5(-2)

-50 - 10

= - 60

Hence, the value of the expression is -60

Learn more on Evaluating an expression here: https://brainly.com/question/1811161

#SPJ1

Answer:

The total number of registered doctors is 202,920 rounded.

Step-by-step explanation:

Solve for (x) in this equation: 27.4/100 = 55,600/(x)

You will get the following equation: (x)= (100*55,600) / (27.4) which equals 202,919.708 rounded to 202,920

To double check, you can see that 27.4% of the total given (202,920) equals the 55,600.

Explanation:

The mixed number 3 & 1/4 is the same as the improper fraction 13/4. It is a rational number since it's a fraction or ratio of two integers.

13/4 = 3.25 is not an integer. So that's why n is outside of the "integer" box, but inside the "rational" box.

In contrast, \(m = 2\pi\) is irrational because we cannot represent pi as a fraction of two integers. We can get an approximation like 22/7, but that won't be exact.

Answer:

A: 12.5

B: 36

C: 40

D: 88

Step-by-step explanation:

those are the answers

Sana's boss owe her $36.60   wages more per week at a local store as a gross pay

Last week Sana worked 46 hours

So let us calculate her wages for the last week

For regular 40 hours she earns $11.15 per hour

Her earning for regulars 40 hours = 40× 11.15 = 446

Now we need to calculate her earning for overtime

She overworked for 46 hours less 40 hours= 6 hours

And for every overtime hour she gets one and a half times the original wages

Her overtime wages= 6 hours × $11.15 ×1.5times

                                   = 6 × 11.15 × 1.5

                                   =103.50

So her total earning of last week should be 446+ 103.50 which comes out to be $549.5

Sana is being paid only $512.90 which means Sana's boss owe her $36.60 more

To know more about wages -https://brainly.com/question/27115666

#SPJ9

The length KL is 8 units

The value of x is undefined

The length KL is 12 units

From the question, we have the following parameters that can be used in our computation:

The rhombus

Also, we have

DK = 8

A rhombus is a quadrilateral with all sides equal.

So, we have

KL = 8

Here, we have

SKAL = 2x - 8

There is no point S on the rhombus

This means that

x = undefined

Here, we have

DM = 5y + 2 and DK = 3y + 6

A rhombus is a quadrilateral with all sides equal.

So, we have

5y + 2 = 3y + 6

Evaluate

2y = 4

Divide

y = 2

So, we have

KL = 5 * 2 + 2

KL = 12

Hence, the length KL is 12 units

Read more about rhombus at

https://brainly.com/question/12735921

#SPJ1

Answer:

A.2 po

Step-by-step explanation:

himdi po ako sure sa answer ko

It would take 21 weeks for the population to surpass 16,000.

The insect population P in a certain area fluctuates with the seasons and is estimated by the function P = 15,000 + 2500 sin(πt/52), where t is given in weeks.

For the population to surpass 16,000, we can set up the following equation:

15,000 + 2500 sin(πt/52) = 16,000

Subtracting 15,000 from both sides, we get:

2500 sin(πt/52) = 1000

Dividing both sides by 2500, we get:

sin(πt/52) = 0.4

We know that sin(πt/52) is positive when t is between 0 and 52 and between 104 and 156 since sine is positive in the first and second quadrants. Therefore, we can write:

πt/52 = sin⁻¹(0.4)

Multiplying both sides by 52/π, we get:

t = (52/π) sin⁻¹(0.4)

Using a calculator, we can evaluate sin⁻¹(0.4) to be approximately 0.4115 radians.

t = (52/π) (0.4115)

t = 21.02

Therefore, it would take 21 weeks for the population to surpass 16,000.

Learn more about Trigonometric functions here:

brainly.com/question/6904750

#SPJ1

To divide 30 into five parts such that the first and last parts are in the ratio of 2:3, we can follow these steps:

1. Determine the ratio between the first and last parts. In this case, it is 2:3.

2. Add the ratio values together to find the total number of parts: 2 + 3 = 5.

3. Divide the total value (30) by the total number of parts (5) to find the value of each part: 30 / 5 = 6.

4. Multiply the value of each part by the respective ratio values to obtain the individual parts:

- First part: 2 * 6 = 12

- Second part: 6

- Third part: 6

- Fourth part: 6

- Last part: 3 * 6 = 18

Therefore, the five parts of 30, with the first and last parts in the ratio of 2:3, are 12, 6, 6, 6, and 18.

Answer:

b

Step-by-step explanation:

159.410 is greater than 159.399 with 0.011

11.0 is the same as 11.000

and so on

The firm's federal income tax is $57,168.

To calculate the firm's federal income tax, we need to determine its taxable income first. Taxable income is calculated by subtracting deductions from the firm's total income.

In this case, the firm's total income consists of income from operations, interest income, and dividend income.

Total income:

Income from operations = $231,000

Interest income = $23,100

Dividend income = $29,700

Total income = $231,000 + $23,100 + $29,700 = $283,800

Next, we deduct expenses from the total income. In this case, the only relevant expense is the interest paid to bondholders:

Total expenses = Interest paid to bondholders = $11,000

Taxable income = Total income - Total expenses = $283,800 - $11,000 = $272,800

Now, we can calculate the federal income tax by applying the federal tax rate of 21% to the taxable income:

Federal income tax = Taxable income * Federal tax rate

Federal income tax = $272,800 * 0.21 = $57,168

Therefore, the firm's federal income tax is $57,168.

For more such questions on tax,click on

https://brainly.com/question/28414951

#SPJ8

but am not pretty sure

the volume of cone is =1/3 pie r² h

I think this is the formula to calculate it