5. What is the median of the data displayed in the box-and-whisker plot?
6. What is the highest value of the data displayed in the box-and-whisker plot?
7. What us the upper quartile of the data displayed in the box -and-whisker plot?

Answer:



Step-by-step explanation:

Let x represent the number of buttons on shirts and y represent the number of buttons on jackets.

If 36 shirts and 42 jackets contain 842 buttons. This implies:

36x + 42y = 842 (1)

If 66 shirts and 77 jackets contain 137 buttons. This implies:

66x + 77y = 137 (2)

If you take the first equation: 36x + 42y = 842 and isolate the x, then you will have x = (842 - 42y) / 36

If you substitute x into the second equation:

66((842-42y)/36) + 77y = 137

→ 11(842-42y)/6 + 77y = 137

→ 11(842-42y) + 6(77y) = 137(6)

→ 9262 - 462y + 462y = 822

→ 9262 = 822 which reveals that the equations do not have a solution

Answer: 3/10 watts

Step-by-step explanation:

3/5 converts to 6/10

6/10 / 2 = 3/10

Answer:

3/10

Step-by-step explanation:

3/5 converts to 6/10

6/10 / 2 = 3/10

1) The question is specifically asking about graduates. The total number of graduates is 2,610.

2) The total number of graduates on financial aid is 1,879.

3) So I think what you need to do is divide 2,610 (the total number of graduates) by the total of graduates on financial aid.

4) Using a calculator, I got 1.3.

Edit: I think MrBillDoesMath got it correct. But I appreciate you thanking me, despite my answer not being right.

Hello from MrBillDoesMath!

Answer:

.72

Discussion:

From the table, 1879 graduates students are receiving financial aid. Also from the table the total number of grad students is 2610. Hence the probability of a grad student receiving financial aid is   1879 /2610 = .72

Regards,  

MrB

Answer:

65.94 cubic inches

Step-by-step explanation:

We are given that a cone shaped cup has a radius of 3 inches and a height of 7 inches and we are to find the volume of this cone shaped cup.

We know the formula for the volume of a cone:

Volume of a cone = [tex]\pi r^2\frac{h}{3}[/tex]

So substituting the given values in the above formula to get:

Volume of the cone shaped cup = [tex]3.14*3^3*\frac{7}{3} =65.94[/tex]

Therefore, the volume of the cone shaped cup is equal to 65.94 cubic inches.

Answer:

65.94 inches^3

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation: The answer is D- Substitution Property of Equality. I just did the test and it was right.

Answer:

C. Subtraction property of equality.

Step-by-step explanation:

Given AD= CF

 And BC=DE

To prove that AB=EF

Proof:

1.Statement: AD=CF

Reason: Given in question.

2. Statement: AD= AB+BC+ CD, CF= CD+DE+EF

Reason: Segment addition property because AB,BC,and CD are the segments of AB and CD,DE and DE are segments of CF.

3. Statement: AB+BC+CD=CD+DE+EF

Reason: Transitive property of equality

Transitive property: If ab=bc and bc=ca

Then   , ab=ca

4.Statement:  AB+BC= DE+EF

Reason: By using subtraction property of equality.

5. Statement:BC=DE

Reason: Given in question.

6. Statement: AB=EF

Reason: when we put BC=DE . Then we get AB+DE=DE+EF. By using subtraction property of equality .

Hence proved .

Answer:

8/20 and 12/30 are equivalent to 4/10.

Step-by-step explanation:

You just have to multiply the numerator and denominator by the same number.

Answer:

If A is multiplied by 3, B will be reduced by a factor [tex]\frac{1}{\sqrt{3}}[/tex]

Step-by-step explanation:

Writing the inverse proportionality relationship and expressing the dependence of B on A leads to the following:

[tex]A = \frac{1}{B^2}\implies |B| = \frac{1}{\sqrt{A}}\\B'=\frac{1}{\sqrt{3A}}= \frac{1}{\sqrt{3}}\frac{1}{\sqrt{A}}=\frac{1}{\sqrt{3}}|B|[/tex]

In words, if A triples, B will decrease by a factor [tex]\frac{1}{\sqrt{3}}[/tex], or, in other words, the square of B will decrease to one third of its previous value.

Answer:

A and B

Step-by-step explanation:

assuming the function should be

- [tex]3^{x-1}[/tex] + 2, then

A

substitute the x value into f(x) and check the validity of the y- value

f(4) = - [tex]3^{3}[/tex] + 2 = - 27 + 2 = - 25 ← agrees with y value

(4, - 25) lies on the graph

B f(1) = - [tex]3^{0}[/tex] + 2 = - 1 + 2 = 1 ← agrees with y value

(1, 1) lies on the graph

C

f(- 1) = - [tex]3^{-2}[/tex] + 2 = - [tex]\frac{1}{9}[/tex] + 2 ≠ 2

(- 1, 2) does not lie on the graph

D

f(0) = [tex]3^{-1}[/tex] + 2 = - [tex]\frac{1}{3}[/tex] + 2 ≠ 0

(0, 0) does not lie on the graph

Step-by-step explanation:

Let s be charges for a single room and d be charges for a double room per night.

We are told that a hotel has 150 rooms. We can represent this information as:

[tex]s+d=150...(1)[/tex]

The charges for a double room are $270 per night and $150 per night for a single room. So the charges for s single rooms will be 150s and charges for d double rooms will be 270d.

On a night when the hotel was completely occupied. Revenues were $33,300.

We can represent this information as:  

[tex]150s+270d=33,300...(2)[/tex]

Therefore, our desired pair of equations will be:

[tex]s+d=150...(1)[/tex]

[tex]150s+270d=33,300...(2)[/tex]

Answer: First equation: s+d=150; second equation: 150s+270d=33300

Step-by-step explanation: To solve the given problem we need to write two equations, the first one will express that the total number of rooms is the sum of the single rooms an the double rooms. The second equation will include the sum of the total earnings for the single and double rooms:

First equation:

s+d=150 (the single rooms and the double rooms equal 150 rooms)

second equation:

150s+270d=33300  (the sum of the single and double rooms each one of them multiplied by their prices, equals the total revenue)

To solve the equation we isolate s from the first equation:

s=150-d

and we replace it in the second one:

150(150-d)+270d=33300

solving for d:

22500-150d+270d=33300

120d=33300-22500

120d=10800

d=10800/120

d=90.

now we calculate s from the first equation:

s=150-d

s=150-90

s=60.

There are 60 single rooms and 90 double rooms.

Answer:

1.  b=-7

2.  c= -10

Step-by-step explanation:

The standard form for the quadratic function is

ax^2 +bx+c

so  we need to rewrite the function to be in this form

2x^2 -10 = 7x

Subtract 7x from each side

2x^2 -7x-10 = 7x-7x

2x^2 -7x-10 = 0

a =2, b= -7  c=-10

Answer:

After giving 197 cards away, Jenson is left with 361 cards

Step-by-step explanation:

Answer:

Hello.

The answer is $6 each item.

Step-by-step explanation:

If all of the items are the same price, then we have a total of 7 items ( 3 keyboards + 4 mic = 7 items).

So at the end is: 7 items ÷ $42 = $6.

The cost of each item is $6.

A division is a process of splitting a specific amount into equal parts.

Given that Mr. Vargas is buying used computer equipment. He buys 3 keyboards and 4 mice. He spends $42.

Since, cost of each item is same, therefore total item = (3 + 4) = 7

Let the cost of each item be c,

7c = 42

c = 6

Hence, The cost of each item is $6.

For more references on division, click;

https://brainly.com/question/21416852

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Answer:

$24.5

Step-by-step explanation:

Let x be the cost of sweater before markup.

We are told that Dan paid $34.30 for a sweater the price included a 40% markup. This means x plus 40% of x equals 34.30.

We can represent this information as:

[tex]x+\frac{40}{100}x=34.30[/tex]

[tex]x+0.40x=34.30[/tex]

[tex]1.40x=34.30[/tex]

[tex]x=\frac{34.30}{1.40}[/tex]

[tex]x=24.5[/tex]

Therefore, the cost of sweater before the markup was $24.5.

Answer:

s = 65/3 pi

Step-by-step explanation:

The length of the intercepted arc is given by the formula

s =r*theta  when theta is given in radians

r = 13

theta = 5 pi/3

Substituting what we know

s = 13 * 5 pi/3

s = 65/3 pi

Since we want an exact answer, we have to leave it in terms of pi and as a fraction

Answer: 28%

Step-by-step explanation:

  [tex]\dfrac{new-original}{original}[/tex]

 [tex]=\dfrac{1022.40-1420}{1420}[/tex]

 [tex]=\dfrac{-397.60}{1420}[/tex]

= -0.28

= -28%

NOTE: negative sign represents decrease

Answer:

answer 7.3

13x-7+11x+11=180

Step-by-step explanation:

Answer:

[tex]\hat{y}=309,552.15 + 1.31x[/tex]

Step-by-step explanation:

The equation for the least-squares regression is,

[tex]\hat{y}=a+bx[/tex]

where b is the slope and a is the intercept.

They can be found out by,

[tex]b=r\cdot \dfrac{SD_y}{SD_x},\\\\a=\overline{y}-b\overline{x}[/tex]

where,

r = correlation coefficient = 0.84

[tex]SD_y[/tex] = standard deviation of y = 44,910

[tex]SD_x[/tex] = standard deviation of x = 28,803

[tex]\overline{y}[/tex] = mean of y = 774,140

[tex]\overline{x}[/tex] = mean of x = 354,718

Putting the values,

[tex]b=0.84\cdot \dfrac{44910}{28803}=1.309\approx 1.31[/tex]

[tex]a=774140-(1.31\times 354718)\approx 309,552.15[/tex]

Therefore the equation is,

[tex]\hat{y}=309,552.15 + 1.31x[/tex]

Answer:

A) x²/9 -y²/4 = 1

Step-by-step explanation:

The distance from center to one vertex is half the difference of the distances from a point to either focus. That is, the distance from center to the vertex is 3 on the x-axis, so the x-term is (x/3)² = x²/9.

In the picture, ...

... c² = a² + b²

The problem statement tells us c = √13, so we know c² = 13. Then ...

... b² = c² - a² = 13 -9 = 4

and the y-term is y²/4.

Thus, the equation is ...

... x²/9 - y²/4 = 1

_____

You knew that was the correct choice as soon as you knew the x-term.

Answer:

False

Step-by-step explanation:

The sum of the interior angles of a regular polygon is  (n – 2)180  where n is the number of sides.   Since this is a 10 sided figure,

the sum of the interior angles is (10-2)* 180 =1440

Final answer:

Luke can make 20 servings with 5 pounds of ground turkey.

Explanation:

To determine the number of servings Luke can make with 5 pounds of ground turkey, we need to set up a proportion. The recipe calls for 1.5 pounds of ground turkey for every 6 servings. So, we can set up the proportion: 1.5 pounds / 6 servings = 5 pounds / x servings, where x represents the unknown number of servings. To solve for x, we cross multiply: 1.5 pounds * x servings = 5 pounds * 6 servings. Simplifying the equation, we get: 1.5x = 30. Dividing both sides by 1.5, we find that x = 20. Therefore, Luke can make 20 servings with 5 pounds of ground turkey.

Answer:

$7.28

Step-by-step explanation:

We have been given that Brandon buys a basket of flowers for $7 before tax. The sales tax is 4%.

The total price that Brandon paid for the basket of flowers will be equal to 7 plus 4% of 7.

We can represent this information in an equation as:

[tex]\text{The total price that Brandon paid for the basket of flowers}=7+(\frac{4}{100}\times 7)[/tex]

[tex]\text{The total price that Brandon paid for the basket of flowers}=7+(0.04\times 7)[/tex]

[tex]\text{The total price that Brandon paid for the basket of flowers}=7+0.28[/tex]

[tex]\text{The total price that Brandon paid for the basket of flowers}=7.28[/tex]

Therefore, the total price paid by Brandon for the basket of flowers was $7.28.

Answer:

Total price Brandon pays for the basket of flowers is, $7.28

Step-by-step explanation:

As per the given statement: Brandon buys a basket of flowers for $7 before tax.

Convert this $7 into cents.

1 dollars = 100 cents.

$7 = 700 cents.

It is also given that the sales tax is 4%.

then;

Sales tax = [tex]4\% \times 700 = \frac{4}{100} \times 700 = 4 \times 7 =28 cents[/tex]

Total price Brandon pays = Price of Brandon buys a flower before tax + sales tax price

=  700 + 28 = 728 cents = $7.28

Therefore, the total price Brandon pays for the basket of flowers is, $7.28

w - width

2.5w - length

84m - perimeter

w + w + 2.5w + 2.5w = 7w - perimeter

The equation:

7w = 84    divide both sides by 7

w = 12 m

length = 2.5w → 2.5w = 2.5(12) = 30 m

Answer:

6

Step-by-step explanation:

sqrt (36)

Lets break this into parts

sqrt(4 * 9)

sqrt(4)  * sqrt(9)

2 * 3

6

29. e = D/(3f²)

30. k=-4, x=41 . . . . matches the 2nd selection

29. Multiply by the inverse of the coefficient of e. That coefficient is 3f², so you divide by that quantity.

... D = e(3f²)

... D/(3f²) = e . . . . . matches the first choice

___

30. You want to solve for k and use it with a different y-value.

... y = kx

... -96 = k·24

... -96/24 = k = -4

For y = -164, you have

... -164 = -4·x

... -164/-4 = x = 41

The coefficient of variation is -4, x is 41.

Answer: x - 2y = -12

Step-by-step explanation:

[tex]y - 3 = \dfrac{1}{2} (x+6)\\2(y - 3) = (2)\dfrac{1}{2}(x + 6)\\2y - 6 = x + 6\\\underline{-x +6}\quad\underline{-x + 6}\\-x + 2y = 12\\-1(-x + 2y = 12)\\x - 2y = -12[/tex]

ANSWER:

-1/2x + y = 6

ABOUT POINT SLOPE FORM:

ABOUT STANDARD FORM:

y - 3 = 1/2 (x + 6)

y - 3 = 1/2x + 3

 + 3            + 3

y = 1/2x + 6

-1/2x   -1/2x

-1/2x + y = 6

I'm not sure if my answer is correct... But please tell me if it's correct or incorrect! Thank you! :)

Answer:

For each of the three basic trig functions, (sin, cos, tan) there are three more which act as their reciprocals. (csc, sec, and cot respectively)

Reciprocals, of course, are flipped fractions. If you have some number x, the reciprocal can be expressed as .

An important property of reciprocals is that if you mutliply them together they will cancel out--take  for example.

Since secӨ is literally defined as the reciprocal of cosӨ, it is evident that

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Step-by-step explanation: