Answer:
Any set of data that satisfies the 5-Number summary: 1,6,12,16 and 19 can be represented with the box plot.
Step-by-step explanation:
Interpreting Box Plots
A box plot is used to present the 5-Number summary of a set of data.
The 5-Number summary consists of the following in their order of appearance on the box plot.
Minimum ValueFirst Quartile, [tex]Q_1[/tex]Median, [tex]Q_2[/tex]Third Quartile, [tex]Q_3[/tex]Maximum ValueIn the box plot, the following rules applies
The whisker starts from the minimum value and ends at the first quartile.The box starts at the first quartile and ends at the third quartile. There is a vertical line inside the box which shows the median. The end whisker starts at the third quartile and ends at the maximum value.Using these, we interpret the given box plot
A left whisker extends from 1 to 6.
Minimum Value=1First Quartile =6The box extends from 6 to 16 and is divided into 2 parts by a vertical line segment at 12.
Median=12Thrid Quartile=16The right whisker extends from 16 to 19.
Maximum Value =19Therefore any set of data that satisfies the 5-Number summary: 1,6,12,16 and 19 can be represented with the box plot.
Profit is the difference between revenue and cost. The revenue, in dollars, of a company that makes skateboards can be modeled by the polynomial 2x3 + 30x – 130. The cost, in dollars, of producing the skateboards can be modeled by 2x3 – 3x – 520. The variable x represents the number of skateboards sold. What expression represents the profit?
A. 27x – 650
B. 27x + 390
C. 33x – 650
D. 33x + 390
Answer:
We need to subtract both equations. 2x3+30x-130-2x3+3x+520
that gives
30x-130+3x + 520
33x+390
D is answer
Answer:
D. 33x + 390
Step-by-step explanation:
Profit is the difference between revenue and cost so subtract the given polynomials:
2x³ + 30x – 130 - (2x³ – 3x – 520) = 2x³ + 30x – 130 -2x³+3x+520
combine like terms: 33x +390
1. £500 is deposited in a bank paying 2% simple interest per annum. How much interest will have been paid after 2 years?
2. £500 is deposited in a bank paying 1% simple interest per annum. How much interest will have been paid after 5 years?
3. £1500 is deposited in a bank paying 6.25% simple interest per annum. How much interest will have been paid after 3 years?
4.£3600 is deposited in a bank paying 4% simple interest per annum. How much interest will have been paid after 4 years?
5.£4300 is deposited in a bank paying 5.75% simple interest per annum. How much interest will have been paid after 6 years?
6.£4000 is deposited in a bank paying 9.5% simple interest per annum. How much interest will have been paid after 8 years?
7.£3600 is deposited in a bank paying 14.75% simple interest per annum. How much interest will have been paid after 14 years?
Consider the function represented by 9x+3y= 12 with x as the independent variable. How can this function be written using
function notation?
f(y) = -1/3y+4/3
f(x) = -3x+4
f(x) = -1/3x + 4/3
f(y) = -3y+4
Which is a correct first step in solving 5 - 2x < 8x - 3?
5 < 6x-3
3x < 8x-3
5 < 10x - 3
2 - 2x < 8x
Answer:
5 < 10x-3
Step-by-step explanation:
5 - 2x < 8x - 3
Add 2x to each side
5 - 2x+2x < 8x - 3+2x
5 < 10x-3
Answer:
The answer is C.
Step-by-step explanation:
Trust me, I got you.
When cut into 16 equal slices, each slice is 1/16 of the pizza. Express how much of the pizza 8 of these slices would be in decimal form.
Answer:
0.5
Step-by-step explanation:
If one part = 1/17
Then, 8 parts = 1/16 x 8 = 1/2
1/2/as a decimal is 0.5
Hope this helps
What value of b with cause the system to have an infinite number of solutions?
A.
B.
C.
or
D.
Step-by-step explanation:
-3x+3x-(b÷2)=-3
0-(b÷2)=-3
-(b÷2)=-3
b=-2×-3=+6
=> b=6
There are 5,426 people seated at tables. Each table seats 8 people.
How many tables are full?
How many people are sitting at a table that is not full?
How many tables are needed for all 5,426 people?
Answer:
678
2
679
Step-by-step explanation:
Number of people: 5426
Capacity of table: 8
How many tables are full?
Number of full tables= 5426/8= 678.25 so full part is 678How many people are sitting at a table that is not full?
0.25 table= 8*0.25= 2 people are sitting at a table that is not fullor
5426 - 678*8= 2 peopleHow many tables are needed for all 5,426 people?
678+1= 679 tablesMr Hassan gave his year 7 class a test on Friday. the highest possible mark for the test was 10.
Answer:
To solve this question, we just need to observe the given graph.
(A) How many pupils scored more than 8 in the test?
Each little square is equivalent to 0.5 units, so there are 5 students who fot more than 8. Specifically, 1 got 8 points and 4 students got 10.
(B) How many pupils are there in Mr. Hassan's Year 7 class?There are 33 pupils in total, remember that each little square is equivalent to 0.5 units.
(C) What assumption have you made in answering part b)?The assumption was that the majority of pupils scored less than 8.
I have been trying to find this for awhil: Find the other endpoint of the line segment with the given endpoint and midpoint.
Endpoint 1: (0,2) Midpoint: (4,5)
Answer:
8.8
Step-by-step explanation:
4.5-0.2=4.3
The difference is 4.3 add 4.3 to 4.5=8.8
Can anyone help me. Please
Answer:
how can I help?
Step-by-step explanation:
with what?
what is the slope of the linear relationship shown in this table?
Answer:
-1/2
Step-by-step explanation:
Slope is change in x over change in y
so..
2-(-4)
over
-1-11
so...
-6/12 or -1/2
Plzzz help !!
The sugar sweet company will choose two companies to transport its sugar to market. The first company charges $6990 to rent truck and plus an additional fee of $175.75 for each ton of sugar. The second company charges $7500 to rent trucks plus an additional fee of $150.25 for each ton. For what amount of sugar do the companies charge the same and what is the cost when the two companies charge the same ?
Answer: 14 tons and $3,860.50
Step-by-step explanation:
Identify the scale factor.
Photograph: height 3 inches
Painting: height 24 inches
Quick answer 3/24 or 1/8
If a and b must be positive integers, what is the largest integer n such that 13a + 18b = n has no solutions?
Answer:
Any integer that is not integer multiple of 234 is not a solution.
Step-by-step explanation:
We are required to find the largest integer n such that 13a + 18b = n has no solution, where a and b are integers.
13a + 18b = n
For a = 1, b = 0
n = 13
For a = 0, b = 1
n = 18
So, for the solution sets (1, 0), (0, 1), n will always have a solutions.
Consider n = 13 × 18 = 234
This means that any integer that is not integer multiple of 234 is not a solution.
The length of a spring varies directly with the mass of an object that is attached to it. When a 30-gram object is attached the
spring stretches 9 centimeters. Which equation relates the mass of the object, m, and the length of the spring, s?
Answer:
[tex]s = \frac{3}{10}m[/tex]
I hope this helps!
Answer: s=3/10m
Step-by-step explanation:
I took the math test in Edgenuity.
Hope this helps!
Can someone help with this question?
Answer:
1. 5
2. -3
3. -4
4. 0
Step-by-step explanation:
Substitute the value of x in the equation with each of the x's given in the table.
Example:
When x = -1
y = -1^2 - 4 x -1 = 1 - 4 = -3
When x = 4
y = 4^2 - 4 x 4 = 16 - 16 = 0
Please add brainiest
The table shows the scores of a biology test in Mrs. Smiths class . Find the mean of the data without Kim’s score.
A- 80
B- 87.2
C- 90
D- 84.5
Answer:
87.2
Step-by-step explanation:
90+93+87+83+86+90+82=611
611/7=87.29
answer is b
Find the volume of prism
Pls!! Show how you got the volume pls
Which of the following is an equivalent equation to find w
[tex]answer \\ w = \frac{ {8x}^{2} - 2y }{y} \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
3х + y = 8
x - Зу = 11
Answer:
y = 8-3x and y = -11/3 + x/3
For the first equation you have to subtract 3x from both sides of the equation. for the second equation you have to move all terms that doesn't contain y to the right side and solve
y varies directly as x and inversely as z. If y = 5 when x = 3 and z = 4, find y when x = 6 and z = 8.
Answer:
y= 201/40
Step-by-step explanation:
y=k (x÷z)
5 = (3÷4)k
cross multiply
20=3k
k= 6.7 or 67÷10
y = 6.7 (x÷z) the law
y = (6÷8) × 6.7
y = 0.75 ×6.7
y= 5.025 or 201÷40
y=-3x + 6
y = 9
What is the solution to the systems of equations
Answer:
-1,9
Step-by-step explanation:
You use the equal values method to combine the two equations
-3x+6=9
then subtract 6 on both sides of the equal sign
nine minus six is 3
-3x=3
divide negative three on both sides to isolate the x value
to get....
x=-1
then plug the x value back in to find the y value
(you can plug in to one of them but I would plug into both of them just for double checking) ALWAYS CHECK YOUR WORK
3+6 is 9
9=9 check!
Answer:C -(-1,9)
Step-by-step explanation:
A multi level parking lot has 6 levels and there are total of 1,327 parking spots. There are 162 parking spots on the first level. The rest of the parking spots are distributed equally on the other 5 levels. How many parking spots are there on the top level? *
Answer:
233 parking spots
Step-by-step explanation:
1327 - 162 = 1165
1165 ÷ 5 = 233
If < D is a right angle and < E is a right angle, and you said that < D is congruent to < E, the reason would be ____. Select one: a. Supplementary Angles are congruent b. All right angles are congruent c. Complementary Angles are congruent
Answer:
(B)All right angles are congruent
Step-by-step explanation:
Given that:
[tex]\angle D$ is a right angle, and\\\angle E$ is a right angle\\\\\angle D=90^\circ\\\angle E=90^\circ\\$Therefore: \angle D \cong \angle E[/tex]
The reason for this congruency is that both are right angles and in fact, all right angles are congruent.
Solve this equation 3x-1/5-2/9x=124/5 , simply by combining like terms, Which terms can be combined? Isolate the variable term by adding this value to both sides of the equation?
Answer:
x=9
Step-by-step explanation:
x in (-oo:+oo)
3*x-((2/9)*x)-(1/5) = 124/5 // - 124/5
3*x-((2/9)*x)-(1/5)-(124/5) = 0
3*x+(-2/9)*x-1/5-124/5 = 0
25/9*x-25 = 0 // + 25
25/9*x = 25 // : 25/9
x = 25/25/9
x = 9
Answer:
1/5
Step-by-step explanation:
i got it right
HELP ME!!! Find the y intercept of the line y=2x-11
Answer:
It would intercept the y-axis at y = -11
Step-by-step explanation:
Here is the work
Answer:
Step-by-step explanation:
the y interception is -11
Y=mx+b formula the b is for the y intercept and the m is the slope.
THIS QUESTION GOT ME STRESSIN HELPPP A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test? The test contains 4 three-point questions and 20 five-point questions. The test contains 10 three-point questions and 14 five-point questions. The test contains 14 three-point questions and 10 five-point questions. The test contains 20 three-point questions and 8 five-point questions.
Answer:
14 and 10
Step-by-step explanation:
14x5=70
10x3=30
100=70+30
Simplify (5 + 1)^2- (11 +32) divided by 4
Answer:
-7/4
Step-by-step explanation:
((5 + 1)^2- (11 +32))/ 4=(36-43)/4= -7/4
Answer:
31
Step-by-step explanation:
The graph of an absolute value function y=a|x| includes the points (1,6) and (-1,6)
Answer: y=6|x|
Step-by-step explanation:
I attached the graph too!
Please help! Correct answers only!
There is a raffle with 200 tickets. One ticket will win a $550 prize, one ticket will win a $510 prize, one ticket will win a $280 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
Answer:
" Expected Payoff " = $ 6.70
Step-by-step explanation:
Consider the steps below;
[tex]Probability of Winning the 550 Dollar Prize - 1 / 200,\\Probability * Money Won = " Expected Payoff " For The 550 Dollar Prize,\\\\1 / 200 * 550,\\" Expected Payoff " - 2.75 Dollars,\\\\Probability of Winning the 510 Dollar Prize - 1 / 200,\\\\1 / 200 * 510,\\" Expected Payoff " - 2.55 Dollars,\\\\Probability of Winning the 280 Dollar Prize - 1 / 200,\\\\1 / 200 * 280,\\" Expected Payoff " - 1.4 Dollars,\\\\[/tex]
[tex]Conclusion ; Expected Payoff = 6.70 Dollars[/tex]
