In a recent survey, students were asked how long they play video games in one sitting. The interquartile range of
the length of play times was 43 minutes. Which of the following is the best interpretation of this value?
Fifty percent of the video game data is below 43 minutes.
The middle half of the video game data has a range that is 43 minutes wide.
The number of minutes played by students typically varies by about 43 minutes from the mean.
The difference between the smallest and largest values in the video game data was 43 minutes.
Answer:
The middle half of the video game data has a range that is 43 minutes wide.
Step-by-step explanation:
Thats the answer on Edguinity I took the Quiz.
Answer:B
Step-by-step explanation:
EDGE 2023
There are 78 students in the fourth grade 39 of them are girls
Answer:
This means that the answer is 39
Step-by-step explanation:
if u subtract 78 from 39 u get 39 just as if u add 39 + 39= 78.
How are factors and products connected
Rearrange the equation so w is the independent variable.
-2u + 6w = 9
u = _______
Answer:
u = 3w -9/2
Step-by-step explanation:
-2u + 6w = 9
Subtract 6w from each side
-2u + 6w-6w = 9-6w
-2u = 9-6w
Divide each side by -2
-2u /-2 = 9/-2-6w/-2
u = 3w -9/2
equivalent ratios of 5:7
Answer:
10:14 15:21 etc.
Step-by-step explanation:
Which inequality is equivalent to 3+4/x > equal to (x+2)/x
The inequality 3 + (4/x) ≥ (x + 2) / x is equivalent to the inequality x ≥ -1.
What is inequality?Inequality is defined as an equation that does not contain an equal sign.
The inequality is given below.
3 + (4/x) ≥ (x+2)/x
By simplifying, we have
(3x + 4) / x ≥ (x + 2) / x
3x + 4 ≥ x + 2
2x ≥ -2
x ≥ -1
More about the inequality link is given below.
https://brainly.com/question/19491153
#SPJ1
2(x+1)=3x-x+2 help fast and show work please
Answer:
0=0
Step-by-step explanation:
[tex]2(x+1)=3x-x+2\\\\\mathrm{Add\:similar\:elements:}\:3x-x=2x\\2\left(x+1\right)=2x+2\\\\\mathrm{Expand\:}2\left(x+1\right):\quad 2x+2\\2x+2=2x+2\\\\\mathrm{Subtract\:}2\mathrm{\:from\:both\:sides}\\2x+2-2=2x+2-2\\\\Simplify\\2x=2x\\\\\mathrm{Subtract\:}2x\mathrm{\:from\:both\:sides}\\2x-2x=2x-2x\\\\Simplify\\0=0\\\\\mathrm{True\:for\:all}\:x[/tex]
Latoya drove 240 miles using 9 gallons of gas. At this rate, how many gallons of gas would she need to drive 216 miles?
Answer:
8.1 gallons of gas
Answer:
8.10 or 8
Step-by-step explanation:
you divide the miles with how many tanks of gas was used to find how much 1 gallon can take you.
240/9=26.66
now that you know how much 1 gallon of gas can take you you have to divide 216 by 26.66 to find how many gallons you would need
216/26=8.10
Simplify the following expression: 4(12x + 16)
Answer:
The given expression simplified is 48x + 64.
Step-by-step explanation:
Solving this problem entails of simplifying the expression provided. We'll use the distributive law, or the distributive property, to write the expression in the simplest form.
Distributive law states:
a(b + c) ⟶ (a × b) + (a × c)We know that...
a = 4b = 12xc = 16Following the rules of distributive law, we can set up the expression to match this property.
a(b + c) ⟶ 4(12x + 16) ⟶ (4 × 12x) + (4 × 16)
The expression will now be easier to simplify. Here, the last step would be to multiply the terms within the parentheses. Remember that we cannot multiply a number by a variable. When you multiply '4' by '12x', just multiply twelve and four, and leave the variable as is.
(4 × 12x) + (4 × 16)
48x + (4 × 16)
48x + 64
Think back on what I mentioned earlier about not being able to multiply a number by a variable. The same rule applies to adding two terms, in which one is a constant and the other consists of a coefficient and variable. Our simplified expression has '48x', which is a coefficient and variable, and '64', which is a constant. This means we cannot add these two terms together.
Our expression seems to be in the simplest form because no further actions can be taken. The correct answer should be 48x + 64.
Answer:
48x+16
Step-by-step explanation:
Which expression is equivalent to 5^-2 x 5^5?
A. 25^-10
B. 5^-10
C. 5^3
D.25^3
(Look at the picture)
Answer:
C
Step-by-step explanation:
A taxi cab charges $4.00 per minute for local
roads and $7.00 per minute for highways. Max
rode on a taxi cab and traveled over both local
roads and a highway. If he spent $59 on a ride
that lasts 11 minutes in total, how much time
did Max spend in the taxi going over the local
roads?
Answer:
5 minutes with 7$,6 minutes with 4$
Step-by-step explanation:
Let's just say that he travelled only local
11 ×4 =44$(the false sume)
59 - 44 =15 (the difference between the real sume and the false)
7-4 =3$(the difference between the highway and local)
15 :3 =5minutes with 7$
11-5 =6 minutes with 4$
simplify the expression
- 1/8 -2/7
pls help :)
round 9.17302 to the nearest thousandths tenths and nearest unit
Answer:
170000
Step-by-step explanation:
17000
PLEASE HELP!! WHICH ONE IS GREATER?? -3 or 3 PLEASE EXPLANE IF YOU CAN??! THANK YOU!
Homework Pro
Question Progress
Simplify
olo
leaving your answer in index form.
Hi, I could really use some help on this math problem
Answer:
2 mph
Step-by-step explanation:
Distance = speed × time
time = distance / speed
If x is the speed of the current, then 12 + x is the downstream speed and 12 − x is the upstream speed.
The time downstream is the same as the time upstream, so:
21 / (12 + x) = 15 / (12 − x)
Cross multiply and solve:
21 (12 − x) = 15 (12 + x)
252 − 21x = 180 + 15x
72 = 36x
x = 2
Let's check our answer. At 14 mph, he can travel 21 miles in 1.5 hours. At 10 mph, he can travel 15 miles in 1.5 hours.
So the speed of the current is 2 mph.
How much chocolate will 3 people get if they share a 4/5 pound of chocolate equally
[tex]\text{Hello!}[/tex]
[tex]\large\boxed{\frac{4}{15}lbs}[/tex]
[tex]\text{Since the chocolate is being shared with 3 people, divide by 3:}[/tex]
[tex]\frac{4}{5} / 3 = \\ \\\text{Divide by multiplying by its reciprocal:}\\\\\frac{4}{5}* \frac{1}{3} = \frac{4}{15}lbs[/tex]
Answer:
15/4
Step-by-step explanation:
Keep the first fraction
3 ÷ 5/4
Flip the second fraction and change division to multiplication
3/1 × 4/5
Multiply
3/1 × 4/5 = 15/4
PLEASE HELP PLEASE 9TH GRADE MATH
Answer:
A
Step-by-step explanation:
I believe it is A because for perpendicular lines the slope must be the reciprocal and have the opposite sign. The y-intercept 2 matches the coordinates (-2, 2). The second number, 2, is the y coordinate.
Which number is the same as 125,000,000
a) 1.25 x 10 to the power of 6 c) .125 x 10 to the power of 6 e) 125 million
b) 125,000 million d) 1.25 million
Answer:
c
Step-by-step explanation:
I'm pretty sure the answer is c
Solve: 8 = 16 + X
please help me. :)
Answer:
x=-8
Step-by-step explanation:
8=16+x
-x=16-8
-x=8
x=-8
1. A company produces two types of nutritional supplements; Energize and Excel. Energize contains 26 mg of vitamin A, 42 mg of vitamin C and 25 mg of an herbal supplement. Excel contains 68 mg of vitamin A, 61 mg of vitamin C and 15 mg of the herbal supplement. An athlete is told that he needs at least 489 mg of vitamin A, 1130 mg of vitamin C and 348 mg of the herbal supplement for optimal athletic performance. The athlete wants to take the supplements, but at the lowest possible cost. Energize pills cost 40 cents each, while Excel pills cost 100 cents each. Let x = the number of Energize pills to take, and let y = the number of Excel pills to take. Which of the following is the objective function for this situation?
A) Minimize C = 40x + 100y.
B) Maximize C = 40x + 100y.
C) Minimize C = 11300x + 3480y.
D) Maximize C = 100x + 40y.
E) Minimize C = 100x + 40y.
F) None of the above.
2. A company produces two types of bicycles; mountain bikes and racing bikes. It takes 7 hours of assembly time and 5 hours of mechanical tuning to produce a mountain bike. It takes 8 hours of assembly time and 4 hours of mechanical tuning to produce a racing bike. The company has at most 22 hours of mechanical tuning labor per week and at most 190 hours of assembly labor per week. The company's profit is $50 for each mountain bike produced and $130 for each racing bike produced. The company wants to make as much money as possible. Let x = the number of mountain bikes they produce, and let y = the number of racing bikes they produce. What are the constraints for this problem?
a) 7x + 5y ≤ 190, 8x + 4y ≤ 22, x ≥ 0, y ≥ 0.
b) 7x + 8y ≥ 190, 5x + 4y ≤ 22, x ≥ 0, y ≥ 0.
c) 5x + 8y ≤ 190, 7x + 4y ≤ 22, x ≥ 0, y ≥ 0.
d) 7x + 8y ≤ 190, 5x + 4y ≤ 22, x ≥ 0, y ≥ 0.
e) 7x + 8y ≤ 190, 5x + 4y ≥ 22, x ≥ 0, y ≥ 0.
f) none of the above.
3. A certain academic department at a local university will conduct a research project. The department will need to hire graduate research assistants and professional researchers. Each graduate research assistant will need to work 23 hours per week on fieldwork and 17 hours per week at the university's research center. Each professional researcher will need to work 15 hours per week on fieldwork and 25 hours per week at the university's research center. The minimum number of hours needed per week for fieldwork is 154 and the minimum number of hours needed per week at the research center is 140. Each research assistant will be paid $295 per week and each professional researcher will be paid $416 per week. Let xdenote the number of graduate research assistants hired and let y denote the number of professional researcher hired. The department wants to minimize cost. Set up the Linear Programming Problem for this situation.
A) Min C = 416x + 295y; s.t 23x + 17y ≥ 154, 15x + 25y ≥ 140, x ≥ 0, y ≥ 0.
B) Min C = 295x + 416y; s.t 23x + 15y ≥ 154, 17x + 25y ≥ 140, x ≥ 0, y ≥ 0.
C) Min C = 295x + 416y; s.t 23x + 15y ≥ 154, 25x + 17y ≥ 140, x ≥ 0, y ≥ 0.
D) Min C = 295x + 416y; s.t 15x + 23y ≤ 140, 25x + 17y ≤ 154, x ≥ 0, y ≥ 0.
E) Min C = 416x + 295y; s.t 15x + 23y ≥ 154, 25x + 17y ≥ 140, x ≥ 0, y ≥ 0.
F) None of the above.
Answer:
1)A) Minimize C = 40x + 100y.
2) d) 7x + 8y ≤ 190, 5x + 4y ≤ 22, x ≥ 0, y ≥ 0.
3) B) Min C = 295x + 416y; s.t 23x + 15y ≥ 154, 17x + 25y ≥ 140, x ≥ 0, y ≥ 0.
Step-by-step explanation:
1) Energize pills cost 40 cents each, while Excel pills cost 100 cents each. If x represent the energize pills and y represent the excel pills, the objective function would be:
minimize cost = cost of energize pill + cost of excel pill
Minimize cost = 40x + 100y
2) Let x = the number of mountain bikes they produce, and let y = the number of racing bikes they produce.
7 hours of assemble time to produce a mountain bike and 8 hours of assemble time to produce a racing bike. Since the company has at most 190 hours for assemble time, it can be represented as:
7x + 8y≤ 190
5 hours of mechanical tuning to produce a mountain bike and 4 hours of mechanical tuning to produce a racing bike. Since the company has at most 22 hours for mechanical tuning, it can be represented as:
5x + 4y ≤ 22
Also assemble time and mechanical time must be greater than 0, hence:
x ≥ 0, y ≥ 0
3) The fieldwork constraint can be represented as:
23x + 15y ≥ 154
The time to be spent at university research center can be represented as:
17x + 25y ≥ 140
Both fieldwork time and time spent at university research center mut be greater than 0, hence:
x ≥ 0, y≥ 0
The cost equation is:
Minimize cost = 295x + 416y
A circle has a diameter of 16 cm. What is its circumference?
Use 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
the answer is 50.27 cm for your question
1: name three collinear points
2: name DC 2 different ways
3: name the intersection of line f and AB
4: name the intersection of planes Q and P
5: give another name of plane p
Answer:
(I). The collinear points are DC, and E
(II). The name of DC in different way is
[tex]DC = CD[/tex]
[tex]DC=DE+EC[/tex]
(III). The name of the intersection of line FG and AB is CD.
(IV). The name of the intersection of planes P and Q is EF.
(V). The another name of plane PQ is QP.
Step-by-step explanation:
Given that,
The following questions are,
(I). We need to find the name three collinear points
Using diagram
The collinear points are DC, and E
(II). We need to find the name of DC to different ways
Using diagram
The name of DC in different way is
[tex]DC = CD[/tex]
[tex]DC=DE+EC[/tex]
(III). We need to find the name of the intersection of line FG and AB
Using diagram
The name of the intersection of line FG and AB is CD.
(IV). We need to find the name of the intersection of planes P and Q
Using diagram
The name of the intersection of planes P and Q is EF.
(V). We need to find the another name of plane PQ
Using diagram
The another name of plane PQ is QP.
Hence, (I). The collinear points are DC, and E
(II). The name of DC in different way is
[tex]DC = CD[/tex]
[tex]DC=DE+EC[/tex]
(III). The name of the intersection of line FG and AB is CD.
(IV). The name of the intersection of planes P and Q is EF.
(V). The another name of plane PQ is QP.
Alex buys 24 apples from the supermarket. when he gets home 6 of them are bad. what percentage of apples are bad? round your answer to the nearest answer.
Answer:
6/24 is 25 percent...... so 25% of his apples are bad
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
6 is the number of apples bad
That means that 6/24 of them were bad apples
6/24=1/4 since you divide by 6 on numerator and denominator
1/4 can be expressed as 25%
A charitable nonprofit organization wants to test two methods of fundraising. From a list of 1,000 past donors, half will be sent literature about the successful activities of the charity and asked to make another donation. The other 500 donors will be contacted by phone and asked to make another donation. The percentage of people from each group will be compared. (Select all that apply.)
A) After the donation collection period, calculate the average or total amount collected from the 500 donors in the treatment group.
B) After the donation collection period, compare the average or total amount collected from each of the two treatment groups.
C) A placebo is not being used.
D) Randomly select 100 donors to receive the literature and 900 donors to receive the phone call.
E) A placebo is being used for the remaining 900 donors.
F) Randomly select 500 donors to receive the literature and 500 donors to receive the phone call.
Answer:
The correct selections are:
B) After the donation collection period, compare the average or total amount collected from each of the two treatment groups.
C) A placebo is not being used
F) Randomly select 500 donors to receive the literature and 500 donors to receive the phone call.
Step-by-step explanation:
What this question requires from you, is to identify the correct characteristics of the study described. Let us explain why each of the selections was made.
B) After the donation collection period, compare the average or total amount collected from each of the two treatment groups: The purpose of the study is to determine the difference in the effectiveness of two methods of fundraising. Therefore at the end of the study, the average total amount raised from each group will be compared to determine which was more effective.
C) A placebo is not being used: Placebos are sham treatments used in a control group without their knowledge. The placebos do not produce any effect similar to the results anticipated the actual treatment. Here, no group is given sham treatment, there is no "control" group given placebos hence placebos are not used.
F) Randomly select 500 donors to receive the literature and 500 donors to receive the phone call: To remove any form of bias in the study, the selection of the groups is done at random, and the number of participants in each group is the same, so as to maintain uniformity during the comparison.
The right statement selection will be of these are:
A) After the donation collection period, compare the average or total amount collected from each of the two treatment groups.
C) A placebo is not being used.
F) Randomly select 500 donors to receive the literature and 500 donors to receive the phone call.
Use a random number generator to choose from a list of [tex]1000[/tex] past donors, half will be i.e.,[tex]=\frac{1000}{2} =500[/tex] will be sent literature, and the other 500 donors will be contacted by phone.
And the percentage of people from each group will be compared i.e. we make the total amount from each of the two treatment groups.
In this case, Placebo is not used.
Learn more: https://brainly.com/question/24131735
HELPHELPHELP
Use the distributive property to write an expression that is equivalent to the sum of 9 and 54.
9(1 + 6)
9(9+6)
9(1 + 54)
9(1) + 9(54)
Answer:
now that is ever easy enough u have to add
ANSWERE
A
Step-by-step explanation:
George buys stock in three different companies on the New York Stock Exchange. He bought one for $168, one for $231, and another for $189. How much did George spend on all of these stocks combined?
the answer is 588 dollars
PLEASSSSSSSSSSSSEEE HELPPP
69=-3(-3-4p)
Answer:
p = 5
Step-by-step explanation:
-3(-3-4p) = 69
-3×(-3) + -3× (-4p) = 69
9 + 12p = 69
12p + 9 - 9 = 69 - 9
12p = 60
p = 5
Hope this helps!!!
What is the solution to the following equation?
-50 = -5x - 3(5x + 15)
Answer:
Step-by-step explanation:
-50 = -5x - 3(5x + 15) {Use distributive rule}
-50 = -5x + 5x *(-3) + 15*(-3)
-50 = -5x - 15x - 45 {Combine like terms}
-50 = -20x - 45 {Add 45 to both sides}
-50 + 45 = -20x
-5 = -20x {Divide both sides by -20}
-5/-20 = x
1/4 = x
Which expression is equivalent to √100 + 4√10 + 3 − 8√10?
10 − √10
−4√10 + 13
3 − 2√10
√10
Answer:
2nd option
Step-by-step explanation:
√100 + 4√10 + 3 - 8√10
√100 can be written as 10
so it becomes,
10 + 4√10 + 3 - 8√10
-4√10 + 13
Hope this helps
plz mark as brainliest!!!!!!
The equivalent expression to √100 + 4√10 + 3 - 8√10 is [tex]- 4\sqrt{10} + 13[/tex].
What are surds and indices?We know there are two types of radicals one is surds when the number has been raised by such power that it is greater than zero and less than one,
The other type of radicals are indices where a number is raised to such power that is greater than one.
The given expression is √100 + 4√10 + 3 - 8√10.
= [tex]\sqrt{10\times 10} + 4\sqrt{10} + 3 - 8\sqrt{10}[/tex].
Now, we'll combine the terms having the same radical value inside.
[tex]= 10 + 3 - 4\sqrt{10}[/tex].
[tex]= 13 - 4\sqrt{10}[/tex].
Or,
[tex]= - 4\sqrt{10} + 13[/tex].
learn more about radicals here :
https://brainly.com/question/1369233
#SPJ2
