Mr. Li records the measures of the lengths of his students’ handprints. The lengths, in centimeters, are shown in the table.

14.0 , 11.5 , 12.1 , 16.2 , 13.5 , 14.3 , 16.8
12.4 , 13.7 , 12.0 , 14.7 , 15.2 , 11.9 , 15.6
13.8 , 14.2 , 12.5 , 15.0 , 16.0 , 13.1 , 11.7

If the class creates a histogram of the data in the table, how many students are in the range 12 cm to 13.9 cm?

1) 3
2) 4
3) 7
4) 8

Answer:

The distance traveled in 13.6 light year is [tex]7.9968\times 10^{13}\text{ miles}[/tex]      

Step-by-step explanation:

Given : Astronomers measure large distances in light-years. One light-year is the distance that light can travel in one year, or approximately 5,880,000,000,000 miles. Suppose a star is 13.6 light-years from Earth.

To find : In scientific notation, how many miles away is it?

Solution :

According to question,

The distance can travel in 1 light year is

[tex]1 \text{ light year} = 5,880,000,000,000 \text{ miles}[/tex]

We have to find the distance traveled in 13.6 light-years.

[tex]13.6 \text{ light year} =13.6\times 5,880,000,000,000 \text{ miles}[/tex]

[tex]13.6 \text{ light year} =79,968,000,000,000 \text{ miles}[/tex]

In scientific notation,

[tex]13.6 \text{ light year} =7.9968\times 10^{13}\text{ miles}[/tex]

Therefore, The distance traveled in 13.6 light year is [tex]7.9968\times 10^{13}\text{ miles}[/tex]

Answer:

coefficient =   80

The power of x =  3

The power of y =  4

Step-by-step explanation:

did the test on plato/edmentum and got it right

Answer:

Option D is correct

Solution = (-1, -2)

Step-by-step explanation:

Given the equation:

y = x – 1               ....[1]

y = 3x + 1            ....[2]

Equate equation [1] and [2] to solve for x.

[tex]x-1=3x+1[/tex]

Subtract x from both sides we have;

[tex]-1=2x+1[/tex]

Subtract 1 from both sides we have;

[tex]-2=2x[/tex]

Divide both sides by 2 we have;

x = -1

Substitute the value of x = -1 in [1] we have;

y=-1-1 = -2

Graphically:

Graph the system of equations as shown below.

The intersection point of these lines is the solution for the given system of equation

⇒ (-1, -2)

Therefore, the solution for the given system of equation is, (-1, -2)

Answer: B 96

Step-by-step explanation:

By evaluating the function in x = 15, we will see that in the year 15 there will be 96 cases.

The function that predicts the number of cases in the year x is given by:

[tex]y = -2x^2 + 36x + 6[/tex]

So we just need to evaluate that function in x = 15, this means replacing x by 15.

[tex]y = -2*15^2 + 36*15 + 6 = 96[/tex]

So we can expect that in the year 15, there will be around 96 cases. Then the correct option is B.

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Bill can buy less than or equal to (≤) a 1/2 pound of cheese.

Hope this answers the question.

The volume of the piece of granite is 6.1 cubic cm if the graduated cylinder is filled to 41.5 ml with water and a piece of granite is placed in the cylinder, displacing the level to 47.6 ml.

It is defined as a three-dimensional space enclosed by an object or thing.

We have:

Volume of the water filled in the cylinder = 41.5 ml

Volume after placing the piece of granite = 47.6 ml

The volume of the piece of granite = 47.6 - 41.5 = 6.1 ml

As we know 1 ml = 1 cm³

The volume of the piece of granite = 6.1 cubic cm

Thus, the volume of the piece of granite is 6.1 cubic cm if the graduated cylinder is filled to 41.5 ml with water and a piece of granite is placed in the cylinder displacing the level to 47.6 ml.

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36/2 = 18

80/2=40

36/80 = 18/40

18/2 =9

40/2 = 20

36/80 = 9/20

Answer: Circumference = 25.1 meters.

Area = 50.2 square meter.

Step-by-step explanation:

The circumference of a circle is given by :-

[tex]C=2\pi r[/tex]

Area of circle is given by :-

[tex]A=\pi r^2[/tex], where r is the radius.

Given : Radius = 4 meters

Then circumference of the circle will be :-

[tex]C=2(3.14) (4)=25.12\approx25.1\text{ meters}[/tex]

Area of circle is given by :-

[tex]A=(3.14)(4)^2=50.24\approx50.2\text{ meters}^2[/tex]

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the probability that a randomly selected student attends full-time and does not receive financial aid is ( 0.1376 ), or ( 13.76% ).

To find the probability that a student attends full-time and does not receive financial aid, we can use the multiplication rule for independent events.

Given:

- Probability of attending full-time: [tex]\( P(\text{full-time}) = 0.320 \)[/tex]

- Probability of not receiving financial aid:[tex]\( P(\text{no financial aid}) = 0.430 \)[/tex]

By the multiplication rule, the probability of both events occurring is the product of their individual probabilities:

[tex]\[ P(\text{full-time and no financial aid}) = P(\text{full-time}) \times P(\text{no financial aid}) \][/tex]

[tex]\[ = 0.320 \times 0.430 \][/tex]

[tex]\[ = 0.1376 \][/tex]

Therefore, the probability that a randomly selected student attends full-time and does not receive financial aid is ( 0.1376 ), or ( 13.76% ).

The probability of getting someone who has been in a car accident will be 0.3238

Number of people that indicated that they had been in a car accident = 215 respondents

Number of people that said that they had not been in a car accident = 449

The probability of getting someone who has been in a car accident will then be calculated as:

= 215/664

= 0.3238

Therefore, the probability of getting someone who has been in a car accident will be 0.3238

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The length of each side of the church window is 20 inches.

To find the length of each side, we need to determine the perimeter of the square. The perimeter is the sum of all four sides of the square. In this case, it is given that the perimeter is 80 inches. Since all sides of a square are equal in length, we can divide the perimeter by 4 to find the length of each side. So, each side of the church window will be 80 inches divided by 4, which is 20 inches.

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the straight line would be 3^2 + 4^2 = X^2

9+16 = x^2

25 = x^2

x = sqrt(25)

x = 5

it is 5 miles

Answer:

38 people

Step-by-step explanation:

Given: To transport [tex]228[/tex] people to an island island ferry make six different trips on each trip the ferry carries the same number of people.

To Find: how many people does the ferry transport on each trip.

Solution:

Total number of people to be transported [tex]=228[/tex]

Total number of trips made by island ferry [tex]=6[/tex]

As ferry carries same number of people in each trip

number of people ferry transport in each ferry [tex]=\frac{\text{total number of people to be transported}}{\text{total number of ferries}}[/tex]

putting values,

                     [tex]=\frac{228}{6}[/tex]

                     [tex]38[/tex]

Hence number of people ferry transport in each island ferry is [tex]38[/tex].

To fill in the table using the function rule y = -4x + 2, substitute the given x-values into the equation and solve for y.

To fill in the table using the function rule y = -4x + 2, substitute the given x-values into the equation and solve for y.

For x = -1, substitute x = -1 into the equation: y = -4(-1) + 2

For x = 0, substitute x = 0 into the equation: y = -4(0) + 2

For x = 1, substitute x = 1 into the equation: y = -4(1) + 2

For x = 2, substitute x = 2 into the equation: y = -4(2) + 2

By evaluating the expressions, you will obtain the corresponding y-values for each x-value.

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