The data below shows the scores of some students on a test:

28, 30, 22, 20, 24, 23, 32

Which box plot represents the data?

A box and whisker plot is drawn using a number line from 20 to 35 with primary markings and labels at 20, 25, 30, 35. In between two primary markings are 4 secondary markings. The box extends from 22 to 30 on the number line. There is a vertical line in the box at 24. The whiskers end at 20 and 32. Above the line is written Student Scores. Correct Answer

A box and whisker plot is drawn using a number line from 20 to 35 with primary markings and labels at 20, 25, 30, 35. In between two primary markings are 4 secondary markings. The box extends from 22 to 30 on the number line. There is a vertical line in the box at 24. The whiskers end at 20 and 35. Above the line is written Student Scores.

A box and whisker plot is drawn using a number line from 20 to 35 with primary markings and labels at 20, 25, 30, 35. In between two primary markings are 4 secondary markings. The box extends from 22 to 26 on the number line. There is a vertical line in the box at 24. The whiskers end at 20 and 30. Above the line is written Student Scores.

A box and whisker plot is drawn using a number line from 20 to 35 with primary markings and labels at 20, 25, 30, 35. In between two primary markings are 4 secondary markings. The box extends from 22 to 30 on the number line. There is a vertical line in the box at 25. The whiskers end at 20 and 32. Above the line is written Student Scores.

Answer:

Vincent would have 30.5 more visits, but since you can't have half a visit technically speaking, round up to 31 if it is allowed.

Step-by-step explanation:

$231 - $48 = $183

$183 divided by $6 = 30.5

Answer:

[tex]A(x) = 2x^2-22x+144[/tex]

Step-by-step explanation:

We are given the following in the question:

Area of room =

[tex]3x^2 + 2x[/tex]

Area of rug =

[tex]x^2 + 24x - 144[/tex]

We have to find the area of of the room not covered by the rug.

Area of of the room not covered by the rug =

Area of room - Area of rug

[tex]A(x)=(3x^2 + 2x) - ( x^2 + 24x - 144)\\A(x)=3x^2 + 2x-x^2 -24x + 144\\A(x)=(3x^2-x^2)+(2x -24x) + 144\\A(x)=2x^2-22x+144[/tex]

is the required expression for the area of floor not covered by the rug.

Answer:

120 degrees

Step-by-step explanation:

This is a quadrilateral, and by definition, the sum of all the interior angles is 360. So, we can just sum up all the expressions and set them equal to 360:

2x + x + 2x + x = 360

Combine like terms and solve for x:

6x = 360

x = 360/6 = 60

<BCD = 2x = 2 * 60 = 120

Thus, the answer is 120 degrees.

Hope this helps!

BCD is equal to 120 degrees.

This is a quadrilateral, and by definition, the sum of all the interior angles is 360. So, we can just sum up all the expressions and set them equal to 360:

2x + x + 2x + x = 360

Combine like terms and solve for x:

6x = 360

x = 360/6 = 60

[tex]\angle BCD = 2x = 2 * 60 = 120[/tex]

Thus, the answer is 120 degrees.

Answer:

First of all, find x from the Pythagorean theorem [tex]a^2+b^2=c^2[/tex], which c is the hypotenuse. 

[tex]7^2+24^2=c^2[/tex]

[tex]49+576=c^2[/tex]

[tex]c^2=625[/tex]

c=25 or x=25

Next, we have to figure out the value of y and z. So, you need to use inverse trigonometric functions.

arctan[tex](\frac{7}{24})=y=16.3[/tex] degrees. arctan[tex](\frac{24}{7})=z=73.7[/tex] degrees.

All in all, the values are

x=25

y=16.3

z=73.7

Hope this helps and have a nice day!

We can use the base formula: [tex]a_n=a_1+(n-1)d[/tex]

[tex]a_n[/tex] = nth term

[tex]a_1[/tex] = first term

[tex]n[/tex] = position of the term

[tex]d[/tex] = common difference

First, lets find the common difference of the sequence.

12 - 5 = 7

19 - 12 = 7

26 - 19 = 7

Second, find the variables we already know.

[tex]a_1[/tex] = 5

[tex]d[/tex] = 7

Put these values into the formula: [tex]a_n = 5+(n-1)7[/tex]

We can use this expression to solve for the fifth term.

[tex]a_5=5+(5-1)7\\a_5=5+(4)(7)\\a_5=5+28\\a_5=33[/tex]

Therefore, the answer is [tex]a_n = 5+(n-1)7[/tex]

Best of Luck!

Answer:

p = 92

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angle

p+45 = (p-47)+p

Combine like terms

p+45 = 2p-47

Subtract p from each side

p-p+45 = 2p-p-47

45 = p-47

Add 47 to each side

45+47 = p-47+47

92 = p

Answer:

The equation is:

(2×π×r×4r)+(2×π×r^2)= A

The maximum radius of the can they will produce = 1.7 inches

Step-by-step explanation:

Please see the attached files for explanation

Answer:

3

Step-by-step explanation:

If there are 6 doughnuts in each box and there are 4 boxes, then 4x6=24. The 24 needs to be split between 8 people. So 24/8=3.

Answer:

Three doughnuts

Step-by-step explanation:

4 boxes of doughnuts times 6 in each box is 24. And 24 divided by 8 is 3.

Given:

The price of milk at the end of the third week = $3.38.

The price of milk at the end of the eighth week = $3.55.

To find:

The approximate increase in price of milk per week and the cost of milk at the end of the tenth week.

Solution:

To determine the increase in the price per week, we divide the difference in price over n number of weeks by n.

Here we know the prices of milk at the end of the third and the eighth week. There are 5 weeks between these two.

The approximate increase in the price of milk [tex]= \frac{3.55-3.38}{5} = \frac{0.17}{5} = 0.034.[/tex]

So there is an increase of $0.034 per week.

To determine the price at the end of the tenth week, we add the increase in price over two weeks to the price at the end of the eighth week.

The price of milk at the end of the eighth week = $3.55.

The increase in price over two weeks [tex]=2(0.034) = 0.068.[/tex]

The price of the milk at the end of the tenth week [tex]= 3.55+0.068=3.618.[/tex]

Rounding this off to the nearest cent, we get the price of milk at the end of the tenth week is $3.62.

Which question do i solve?

Answer:

540 calories

Step-by-step explanation:

We are trying to find y (calories), when x (fat) equals 35 grams.

So, we can substitute 35 in for x

y= 10x +190

y=10(35)+190

Multiply 10 and 35

y=350+190

Add 350 and 190

y=540

A snack with 35 grams of fat will have 540 calories

Answer:

Step-by-step explanation:

1 hour=60 min

7 hours=60×7=420 min

number of blink=420×13=5460

Final answer:

To calculate the number of times a person will blink in 7 hours at a rate of 13 blinks per minute, you multiply 13 by the total number of minutes in 7 hours (420) to get 5,460 blinks.

Explanation:

If people blink about 13 times per minute, we can calculate how many times they blink in 7 hours by multiplying the number of blinks per minute by the number of minutes in 7 hours. First, let's find out how many minutes are in 7 hours:

7 hours x 60 minutes per hour = 420 minutes

Now, we'll multiply the number of minutes by the number of blinks per minute:

420 minutes x 13 blinks per minute = 5,460 blinks

Therefore, a person will blink 5,460 times in 7 hours. This is a simple arithmetic multiplication problem that provides us with the total number of blinks over a given period.

Answer:

the answer would be 8.38

Sixty-seven times a number, plus eight and nine tenths, is not greater than negative three hundred two

It the answer

Answer:Sixty-seven times a number, plus eight and nine tenths, is not greater than negative three hundred two

Step-by-step explanation:

Answer:

8.5

Step-by-step explanation:

To work out the original number you would need to work backwards ( do the opposite). First you would do 22-5, this gives us 17. Then you would divide 17 by 2 to work out the original number.

1) Subtract 5 from 22.

[tex]22-5=17[/tex]

2) Divide 17 by 2.

[tex]17/2=8.5[/tex]

3) The original number was 8.5

Answer:8.5

Step-by-step explanation:

Answer:

It is (A) y = 67.2

Hope this helped ya :)

Answer:

The answers go backwards in the negative

Step-by-step explanation:

it goes -2, -1 3/4, -1 1/2, -1 1/4, -1, and so on.

Answer: The number line shows -2 through 2, divided unto fourths, with zero in the middle. The numbers increase as you move right and decrease as you move left.

Answer:

x + a + 2

Step-by-step explanation:

g(a) = a² + 2a

g(x) - g(a) = x² + 2x - a² - 2a

= x² - a² + 2x - 2a

= (x - a)(x + a) + 2(x - a)

= (x - a)(x + a + 2)

[g(x) - g(a)] ÷ (x - a)

= x + a + 2

Answer:

(x + 2)(x - 4)

Step-by-step explanation:

Given the zeros of a function, say x = a and x = b, then

the factors are (x - a) and (x - b)

From the graph

The zeros are x = - 2 and x = 4, thus the factors are

(x - (- 2)) and (x - 4), that is (x + 2) and (x - 4)

Answer:

The correct option is option (D)

The initial investment is $10,600 and the growth rate of the investment is 3.85%.

Step-by-step explanation:

The formula of compound interest:

[tex]A=P(1+r)^n[/tex]

A= Total amount after n years

P= Initial value of deposit

r= rate of interest compound annually

n= time is in year

Given expression is

[tex]A=10,600(1.0385)^x[/tex]

[tex]A=10,600(1+0.0385)^x[/tex]

Now we compare the given expression with the compound interest formula

So,

P= 10,600

r=0.0385 =3.85%

So, the initial investment is $10,600 and the growth rate of the investment is 3.85%.

Answer:

actually the answer is A

Step-by-step explanation:

a = 1.16 and b = 0.12

brainliest????

Answer:

1500 Time the multiple of model scale is the actual length of the ramp.

Step-by-step explanation:

Given:

Actual length of ramp is 500ft

Modelling scale is 1/125.

To Find:

how many times as long as the actual on ramp is the model.

Solution:

Actual length is 500 ft

When Civil engineer is modelling the ramp on model then it is about 1/125 of the actual length present at that site.

So

=500*1/125

=4 inches

So on model scale engineer took inches as a unit  for scale.

Actual length is 500 ft and model length is 4 inches

So 1 ft corresponds to 12 inches hence 500*12=6000 inches

6000 inches corresponds to 4 inches on model scale

i.e it is about 1500 time multiple of the model scale.

To find out how many times longer the actual on-ramp is than the model, we can use the following steps:

1. **Convert the model length to the same unit as the actual on-ramp:** Since the model's length is given in inches and the actual length is given in feet, we need to convert one of the measurements to the other unit so that they are comparable. Here, we will convert the model's length into feet. There are 12 inches in 1 foot, so to convert inches to feet, we divide by 12.

  Model length in feet = Model length in inches / 12
  Model length in feet = 4 inches / 12 inches per foot
  Model length in feet = 1/3 foot

2. **Compare the actual length to the model length:** Once both lengths are in the same unit, we divide the actual on-ramp length by the model length to find out how many times longer the actual on-ramp is.

  Times longer = Actual length / Model length
  Times longer = 500 feet / (1/3 foot)

3. **Solve the division:** Now we solve the division by multiplying the actual length by the reciprocal of the model length.

  Times longer = 500 feet * (3/1)
  Times longer = 1500

So, the actual on-ramp is 1500 times longer than the model.

As for the mention of a scale of 1/125, this doesn't come into play in this specific comparison, as we are only comparing lengths. However, if we want to double-check the work, we can ensure that the scale is consistent with our findings.

Given a scale of 1/125, it means that 1 unit on the model represents 125 units in reality. If our model is 4 inches, that would mean:

  Actual length at this scale = Model length * Scale factor
  Actual length at this scale = 4 inches * 125
  Actual length at this scale = 500 inches

Now, to convert this into feet:

  Actual length at this scale in feet = 500 inches / 12 inches per foot
  Actual length at this scale in feet = 41.6667 feet (approximately)

Now, this is not the actual length we've been given for the on-ramp (which is 500 feet), so it seems there might be some confusion with the scale provided. The scale factor is not needed when directly comparing the model's length to the actual on-ramp's length, as long as we convert into the same units for a fair comparison.

Answer:

B. Printer B; 2 more pages per minute

Step-by-step explanation:

70/2 = 35 which is 2 more than 33

Answer:X=1 or 0.5

Step-by-step explanation:

Use general quadratic equation

That is

X=(-b+or√(b²-4ac))/2a

Where

a=4

b=-6

c=2

Answer:

Step-by-step explanation:

hello :

4x²-6x+2=0

2(2x²-3x+1)=0    means : 2x²-3x+1 = 0

(x-1)(2x-1)=0

x-1=0  or 2x-1=0

x=1 or x= 1/2

Evan's account can be modeled by exponential growth because it compounds interest. Ethan's account can be modeled by linear growth because it accrues a fixed interest rate annually.

The account that can be modeled by exponential growth is Evan's account because it compounds interest. Compound interest involves the exponential growth formula: A = P(1 + r/n)^(nt), where A is the final account balance, P is the principal (initial deposit), r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years. In this case, Evan's account compounds interest annually, so n=1.

Ethan's account, on the other hand, can be modeled by linear growth. Linear growth is represented by a straight line on a graph, and it involves a constant rate of increase over time. Ethan's account accrues interest at a fixed 8% annually, so the amount in the account increases by the same amount every year.

https://brainly.com/question/16164776

#SPJ3

Answer:

Answer:jhmghmnb

bnm nbb

Step-by-step explanation:nbm nmnm bbbbbbbbbbbbbbbbbbbbbbbbbbbbb

The dimensions that could be the dimensions of a unit cube are:

A unit cube is a cube with side lengths of 1 unit, where the unit can be any length (such as inches, feet, centimeters, etc.). Therefore, to be the dimensions of a unit cube, all three side lengths must be equal to 1 unit.

Let's go through the options:

A. 1 ft by 1 ft by 1 ft: This represents a cube where all sides are 1 foot long. Since each side is 1 unit, this is a unit cube. (Correct)

B. 1 in by 2 in by 1 in: One of the side lengths is not 1 unit. Therefore, this cannot be the dimensions of a unit cube. (Incorrect)

C. 1 ft by 1 in by 1 cm: All sides are of one unit, but not of the same unit (feet, inch and centimeter given). Therefore, this cannot be the dimensions of a unit cube. (Incorrect)

D. 1 mm by 1 mm by 1 mm: Each side is 1 millimeter long, which is a unit of length. Therefore, this represents a unit cube. (Correct)

E. 1 m by 1 m by 2 m: One of the side lengths is not 1 unit. Therefore, this cannot be the dimensions of a unit cube. (Incorrect)

The question is:

Which of these could be the dimensions of a unit cube? Select all that apply.

A. 1 ft by 1 ft by 1 ft.

B. 1 in by 2 in by 1 in.

C. 1 ft by 1 in by 1 cm

D. 1 mm by 1 mm by 1 mm

E. 1 m by 1 m by 2 m

Answer:

Step-by-step explanation:

Notice that the radius is 28 meters, and the angle of the orange sector is 137°. However, the angle of the blue sector is:

360° - 137° = 223°

The area of a circular sector is

[tex]A=\frac{\pi r^{2} \alpha}{360\°}[/tex]

Replacing given values, we have

[tex]A=\frac{(3.14)(28)^{2} (223\°)}{360\° }=\frac{548972.48}{360} \approx 1525[/tex]

Therefore, the right answer is the second choice.

Answer:

B. 1,525.7 square meters

Correct graph:

The correct graph is attached below.

Source:

Previous question that can be found at chegg

Step-by-step explanation:

Let's recall that the formula of the area of a sector of a circle is:

Area = π * r² * (C/360 ), where:

r is the radius of the circle of which the sector is part

C is the central angle in degrees

Replacing with the values provided, we have:

r = 28 meters

C = 360 - 137 = 223 (We're being asked about the blue sector area not the orange sector area)

Area = π * 28² * (223/360 )

Area = 3.1416 * 784 * 0.6194

Area = 1,525.7 m²

The correct answer is B. 1,525.7 m²

Answer:

D

Step-by-step explanation:

4*16=64

8*8=64

Answer:

D. 8

Step-by-step explanation:

8*8= 64 =4*16