Mrs. Wingate has 10 students in her math class. The line plot shows the number of hours students spent doing homework last week.

240 minutes
60 minutes
120 mintues
180 minutes

The median amount of time students spent on homework last week was how many minutes? ​

Answer:

y=24x+50

24= per month

x= months attended

50=member fee

Answer:

The true statement about Kendra's sample is:

b) Kendra's samples are precise but not accurate.

Step-by-step explanation:

a) Data and Calculations:

Average age of dogs currently alive = 4.8 years

Average ages of dogs in Kendra's sample

Week   Average Age (in years)

1                    3.7

2                   3.8

3                   4.2

4                   4.1

5                  3.9

6                  3.9

7                  4.0

Total         27.6

Mean = 3.9 (27.6/7)

b) Accuracy refers to how close Kendra's sample mean age of dogs is to the average age value as stated in the Modern Dog Magazine.  While the Magazine stated an average age of 4.8 years, Kendra's sample produced a mean of 3.9 years.  On the other hand, precision refers to how close Kendra's sample measurements are to each other.  With a mean of 3.9 years, the sample measurements are very close to each other.  Therefore, we can conclude that "Kendra's samples are precise but not accurate."

Answer:

Kendra's samples are precise but not accurate.

Step-by-step explanation:

To be accurate and precise they should be around 4.8 for all the measures. We can see that they are all relatively close to one another (between 3.7 and 4.2), so they are precise. However, they are all are smaller than 4.8, so they are not accurate.

Answer:

x = −37/16

This is the value of x which completes the equation properly, unless you mean x^2 instead of x2.

Answer:

5/12

Step-by-step explanation:

convert 1/3 into 4/12 and subtract 4/12 out of 12/12

you get 8/12. then you subtract 5/12 from it because it will remain 3/12 and 3/12=1/4.

500- 300 = 200

750 - 725 = 25

200÷ 25 = 8

it will take them 8 months for the total rent to cost the same

Answer:

68°

Step-by-step explanation:

Total angle in a quadrant = 90°

x + 22° = 90°

x = 90 - 22

x = 68°

The manager can find the volume of the container using the formula lwh. The employee correctly determines that the container can be filled with 3 layers of 21. He can find the volume of the container by multiplying the number of bento boxes that fill the container by the volume of one bento box. The volume found by using the formula is equal to the volume of the total number​of bento boxes in the container.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = LWH

Where:

Part a.

Therefore, the manager can use the following formula;

Volume of container = LWH

Volume of container = 7/2 × 3/2 × 3/2

Volume of container = 63/8 cm³.

Part b.

For the number of bento boxes that can fill the container, we have:

Number of bento boxes = Volume of container/Volume of bento boxes

Number of bento boxes = 63/8/(1/2)³

Number of bento boxes = 63/8/1/8

Number of bento boxes = 63/8 × 8

Number of bento boxes = 63 bento boxes = 3 layers × 21.

Part d.

Volume of container = Volume of bento boxes

63/8 cm³ = 63 × 1/8 cm³

63/8 cm³ = 63/8 cm³ (equal).

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The first five terms of the given sequence are:

C: 18, 30, 42, 54, 66

The formula for the nth term of an arithmetic sequence is expressed as:

aₙ = a + (n - 1)d

where:

a is first term

d is common difference

n is number of term

The formula for the sequence is 12x + 6. Thus:

First term = 12(1) + 6 = 18

Second term = 12(2) + 6 = 30

Third term = 12(3) + 6 = 42

Fourth term = 12(4) + 6 = 54

Fifth term = 12(5) + 6 = 66

Thus, the sequence is : 18, 30, 42, 54, 66

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Answer:

B. y= -4x + 28

Step-by-step explanation:

To find the equation of this line first put it into slope-point form, \(y-y_{1} =m(x-x_{1})\) where \(y_{1}\) and \(x_{1}\) are the y and x coordinates and m is the slope. So plug in the information to get the equation, y-8=-4(x-5). Then solve for y,

First, distribute the -4

y-8=-4x+20

Next, add 8 to both sides

y=-4x+28

Answer:

\(f(x) = - 2 + 4 \cos(x) \\ for \: minimum \: \: x = 0 \\ f(0) = - 2 + 4 \cos(0) \\ minimum \: value = 2 \\ for \: maximum \: value \: \: x = 2\pi \\ f(2\pi) = - 2 + 4 \cos(2\pi) \\ maximum \: value = - 2\)

The function is minimum at 3π/2 and the function is maximum at 0 and 2π.

The condition for the maximum will be

f(x)'' < 0

The condition for the minimum will be

f(x)'' > 0

The function is given below.

f(x) = −2 + 4cosx

Differentiate the function with respect to x, then we have

f'(x) = − 4 sin x

Again differentiate the function with respect to x, then we have

f''(x) = − 4 cos x

Then the minimum value of the function will be

f'(x) = 0

−4 sin x = 0

sin x = 0

The value of f''(x) is positive in the interval of (π/2, 3π/2). Then the value of x will be

x = π

Then the maximum value of the function will be

And the of f''(x) is negative in the interval of [0,2π] – (π/2, 3π/2). Then the value of x will be

x = 0 and 2π

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A two-column proof to show that m∠3 + m∠6 = 180° should be completed with the statements and reasons stated below.

In Mathematics and Geometry, the consecutive interior angles theorem states that when two (2) parallel lines are cut through by a transversal, the interior angles that are formed are congruent and each pair of the consecutive interior angles is supplementary.

In this context, a two-column proof to show that m∠3 + m∠6 = 180° should be completed with the following statements and reasons;

Statement                                                Reasons

l║n                                                           Given

∠6 and ∠7 are linear pair                 consecutive interior angles theorem  

∠3 ≅ ∠7                                                Definition of linear pair  

m∠3 + m∠6 = 180°                                Substitution property

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Answer:

its c

Step-by-step explanation:

Answer:

Ya its c

Step-by-step explanation:

It's correct u can cliuck or do it without any fear best of luck

y = 4x + 8

To tell if (3, 20) is a solution, we will substitute the value of x = 3 and y= 20

into the equation to see if the left-hand side equals the right-hand side of the equation

So, upon substituting

20 = 4 x 3 + 8

20 = 12 + 8

20 = 20

Since the left-hand side of the equa

Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

Gianna is 90 miles far away in 3 hours of driving.

She drove in total of 180 minutes.

The speed can be defined as the rate at which an object covers some distance. Speed can be measured as the distance traveled by a body in a given period of time. The SI unit of speed is m/s.

Given,

Gianna drives 5 miles in 10 minutes

Speed per minute = 5/10 = 0.5 miles/minute

Gianna drove in total for 3 hours

1 hour = 60 minutes

3 hours = 60 × 3 = 180 minutes

Distance Gianna drove in 180 minutes = speed per minute × time

                                                                = 0.5 × 180

                                                                = 90 miles

Hence, Gianna drove 90 miles in 3 hours, 180 minutes is total time she drove.

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The coefficient of variation for A is 20.37% and for B is 15.98%.

What is coefficient of variation?

In statistics, the relative standard deviation (RSD), commonly referred to as the coefficient of variation formula (CV), is a standardized way to assess how widely spaced out a probability distribution or frequency distribution is. Lower values of the coefficient of variation indicate that the data is highly stable and less variable.

We know that formula for coefficient of variation is

CV = Standard Deviation / Mean

A. $31,100, $25,800, $36,300, $30,200, $30,000, $19,800, $22,300, $22,600, $34,900, $21,700, $36,900, $30,800, $31,700, $37,100

Mean = 411200 / 14

Mean = $29371.42

Similarly,

Standard Deviation = $5984.52

So,

CV = 5984.52 / 29371.42 * 100

CV = 20.37%

B. 3.18, 4.24, 4.27, 4.38, 3.87, 4.75, 3.43, 3.35, 4.16, 4.81, 2.98

Mean = 43.42 / 11

Mean = $3.94

Similarly,

Standard Deviation = $0.63

So,

CV = 0.63 / 3.94 * 100

CV = 15.98%

Hence, the coefficient of variation for A is 20.37% and for B is 15.98%.

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Answer:

cry about it

Step-by-step explanation:

crying will help you feel worse and think about paying for all your debts.

When a person agrees with another party or the lender from whom he/she has taken a certain amount of funds or when the performance is due then it is said to be debt.

The debtor needs to pay a certain value to the lender in the given time.

To pay the debt that the person accumulated was due to playing games so, to repay the debt that person needs to earn money.

The person can work part-time jobs or can look for real work based on his qualifications.

In this way, the debt can be paid in small amounts or installments.

The person should avoid playing games that involve gambling by tightly restricting himself by self-control.

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The value of N that satisfies the following equation, 5!9!= 12N!, is 10.

Factorial notation (n!) means to multiply a series of descending natural numbers. Also stated in the problem that for positive integer n, the factorial notation n! represents the product of the integers from n to 1.

Take for example 6! which can be written as 6 x 5 x 4 x 3 x 2 x 1 = 720.

Given the equation 5!9!= 12N!, expand the factorial notation.

(5 x 4 x 3 x 2 x 1)(9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1) = (4 x 3) N!

N! = (5 x 2 x 1)(9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)

N! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

N = 10

Therefore, the value of N that satisfies the following equation, 5!9!= 12N!, is 10.

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The difference in the addition of both fractions is that they have different lowest common multiples.

We want to add the fraction expression given as:

¹/₂ + ¹/₄

Taking the Lowest common multiple of 8, we have:

(4 + 2)/8 = 6/8

However, for the second fraction expression, we have:

¹/₂ + ¹/₃

Taking the lowest common multiple which is 6, we have:

(3 + 2)/6 = 5/6

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Answer:

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = 0.5188

The percentage of that Delta car batteries last between three and four years

P(3≤X≤4) = 52%

Step-by-step explanation:

Step(i):-

Given that the sample size n =12 -volt car batteries

Let  'X' be a Random variable in a normal distribution

Given that mean of the normal distribution = 45 months

Given that the Standard deviation of the normal distribution = 8months

Step(ii):-

Let  X₁ = 3 years = 12 × 3 = 36 months

\(Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{36-45}{8} = -1.125\)

Let X₂ = 4 years  = 12 × 4 = 48 months

\(Z_{2} = \frac{x_{2} -mean}{S.D} = \frac{48-45}{8} = 0.375\)

Step(iii):-

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = P(-1.125≤Z≤0.375)

                   = P(Z≤0.375) - P(Z≤-1.125)

                   = 0.5 +A(0.375) - (0.5-A(1.125)

                   = 0.5 + 0.1480 - (0.5 -0.3708)

                  = 0.1480 + 0.3708

                 = 0.5188

Final answer:-

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = 0.5188

The percentage of that Delta car batteries last between three and four years

P(3≤X≤4) = 52%

Answer:

Step-by-step explanation:

21 : 14

Both have 7 in common

3 : 2

So Option C 21 : 14 is the correct answer

The function for fine at every speed should be doubled in construction zones is f(n)= -8.75n+637.5.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The coordinate points from the graph are (10, 550) and (30, 200).

Here, slope = (200-550)(30-10)

= -350/20

= -35/2

= -17.5

Substitute m= -17.5 and (x, y)=(10, 550) in y=mx+c, we get

550=-17.5(10)+c

c=550+175

c=725

So, the equation is y= -17.5x+725

Thus, f(n)= -17.5n+725

a) The fine at every speed should go up by $10.

So, the coordinates are (10, 560) and (30, 210)

New slope (m)= (210-560)(30-10)

= -350/20

= -35/2

= -17.5

Substitute m= -17.5 and (x, y)=(10, 560) in y=mx+c, we get

560=-17.5(10)+c

c=550+175

c=735

So, the equation is y= -17.5x+735

Thus, f(n)= -17.5n+735

b) The fine at every speed should be doubled in construction zones.

So, the coordinates are (20, 550) and (60, 200)

New slope (m)= (200-550)(60-20)

= -350/40

= -8.75

Substitute m= -8.75 and (x, y)=(20, 550) in y=mx+c, we get

550=-8.75(10)+c

c=550+87.5

c=637.5

So, the equation is y= -8.75x+637.5

Thus, f(n)= -8.75n+637.5

Therefore, the function for fine at every speed should be doubled in construction zones is f(n)= -8.75n+637.5.

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Answer:

The approximated length of the cables that stretch between the tops of the two towers is 1245.25 meters.

Step-by-step explanation:

The equation of the parabola is:

\(y=0.00035x^{2}\)

Compute the first order derivative of y as follows:

 \(y=0.00035x^{2}\)

\(\frac{\text{d}y}{\text{dx}}=\frac{\text{d}}{\text{dx}}[0.00035x^{2}]\)

    \(=2\cdot 0.00035x\\\\=0.0007x\)

Now, it is provided that |x | ≤ 605.

⇒ -605 ≤ x ≤ 605

Compute the arc length as follows:

\(\text{Arc Length}=\int\limits^{x}_{-x} {1+(\frac{\text{dy}}{\text{dx}})^{2}} \, dx\)

                  \(=\int\limits^{605}_{-605} {\sqrt{1+(0.0007x)^{2}}} \, dx \\\\={\displaystyle\int\limits^{605}_{-605}}\sqrt{\dfrac{49x^2}{100000000}+1}\,\mathrm{d}x\\\\={\dfrac{1}{10000}}}{\displaystyle\int\limits^{605}_{-605}}\sqrt{49x^2+100000000}\,\mathrm{d}x\\\\\)

Now, let

\(x=\dfrac{10000\tan\left(u\right)}{7}\\\\\Rightarrow u=\arctan\left(\dfrac{7x}{10000}\right)\\\\\Rightarrow \mathrm{d}x=\dfrac{10000\sec^2\left(u\right)}{7}\,\mathrm{d}u\)

\(\int dx={\displaystyle\int\limits}\dfrac{10000\sec^2\left(u\right)\sqrt{100000000\tan^2\left(u\right)+100000000}}{7}\,\mathrm{d}u\)

                  \(={\dfrac{100000000}{7}}}{\displaystyle\int}\sec^3\left(u\right)\,\mathrm{d}u\\\\=\dfrac{50000000\ln\left(\tan\left(u\right)+\sec\left(u\right)\right)}{7}+\dfrac{50000000\sec\left(u\right)\tan\left(u\right)}{7}\\\\=\dfrac{50000000\ln\left(\sqrt{\frac{49x^2}{100000000}+1}+\frac{7x}{10000}\right)}{7}+5000x\sqrt{\dfrac{49x^2}{100000000}+1}\)

Plug in the solved integrals in Arc Length and solve as follows:

\(\text{Arc Length}=\dfrac{5000\ln\left(\sqrt{\frac{49x^2}{100000000}+1}+\frac{7x}{10000}\right)}{7}+\dfrac{x\sqrt{\frac{49x^2}{100000000}+1}}{2}|_{limits^{605}_{-605}}\\\\\)

                  \(=1245.253707795227\\\\\approx 1245.25\)

Thus, the approximated length of the cables that stretch between the tops of the two towers is 1245.25 meters.

Answer:

1/2 < 0.545 < 6/11 < 1.5

Step-by-step explanation:

I used calculator soup order sorter.

G(:,:) returns the matrix G in its original form. This command takes all elements of G and reshapes them into a single row vector. This means that all elements of G are included in the output, and the output is in the same shape as the original matrix.

G(:) reshapes all elements of G into a single column vector. This command takes all elements of G and places them into a single column. This means that all elements of G are included in the output, and the output is in a column vector.

G(7,6) returns an indexing error. This command attempts to access an element outside of the range of the matrix G. Since G is a 6 x 6 matrix, there is no element at the index (7,6).

max(G) returns the maximum entry in each column of G. This command takes the maximum value from each column and returns them as a single row vector. This means that the output contains the maximum value from each column and the output is in a single row vector.

sum(G) returns the sum of the entries in each column of G. This command takes the sum of all entries in each column and returns them as a single row.

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Answer: 16 pounds of grain.

Step-by-step explanation: 36 divided by 9 is 4, which means we have to multiply bin C by how much bin J was multiplied by, which is 4, so 4x4 is 16.

(let me know if you would like me to explain more on this)

The absolute deviation of each of the data values are 4, 1 and 3 respectively.

The absolute deviatuon gives the distance of any given value in a dataset to the mean value. The absolute deviation is always positive as it does not consider the side to which the value belongs.

Absolute deviation = |value - mean|

Mean = 4

Absolute deviation of 0 = |0 - 4| = 4

Absolute deviation of 3 = |3 - 4| = 1

Absolute deviation of 7 = |7 - 4| = 3

Hence, The absolute deviation of each of the data values are 4, 1 and 3 respectively.

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