Which of the following statements is true?
The interquartile range of weights of both apples is the same.
The upper quartiles of each group are within 2 grams of each other.
There were more Red Delicious apples weighed than Granny Smith apples.
The median weight of Granny Smith apples is less than the median weight of Red Delicious apples.
Answers
Related Questions
How do you solve for percent increase and percent decrease?
Answers
for increase:
Increase = New Number - Original Number
Then divide the increase by the original number and multiply the answer by 100
For decrease:
Decrease = Original Number - New Number
Then divide the decrease by the original number and multiply the answer by 100
To the nearest square unit what is the area of the regular octagon shown below
Answers
Answer: c
Step-by-step explanation: a p e x
The area of the given Octagon is 1,086 units²
What is an Octagon?A polygon of eight angles and eight sides is called an Octagon.
Given is a figure of an Octagon, having radius = 18.1 units and side length = 15 units.
The regular octagon is divided into 8 triangles
Therefore, the area of a regular octagon = the sum of the area of 8 triangles
The area of a triangle = 1/2(base)(height)
Here, base = 15 units and length = 18.1 units
Therefore, the area of a regular octagon = 1/2×15×18.1×8 = 1,086
Hence, The area of the given Octagon is 1,086 units²
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What is the area of a parallelogram whose vertices are A(−12, 2) , B(6, 2) , C(−2, −3) , and D(−20, −3) ?
Enter your answer in the box.
Answers
To solve this, we simply have to get the length and the width. Based from the graph, we can see that the length is connected by 2 points (-12, 2) and (6, 2) or (-20, -3) and (-2, -3). The height between the two lengths is 5 which can be counted manually.
We use the distance formula to calculate the length from either pair of points.
length^2 = [(-12 – 6)^2 + (2 – 2)^2]
length = 18
Therefore the area is:
Area = length * height
Area = 18 * 5
Area = 90
Express the given terminating decimal as a quotient of integers. if possible, reduce to lowest terms. 0.66
Answers
66/100
We can reduce this by dividing each number by the same amount - 2
33/50
The number 0.66 can be written as a terminating decimal as a quotient of integers is 33/50.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
The decimal number is 0.66 which is non-terminating.
As we know, the arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
We can write the number 0.66 as:
= 66/100
= On simplification:
= 33/50
Thus, the number 0.66 can be written as a terminating decimal as a quotient of integers is 33/50.
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2(2t+4)=34(24−8t). My math teacher is on crack
Answers
4t + 8 = 816 - 272t (Because of distributive property)
276t + 8 = 816 (Because I added the negative 192 to the other side, due to combine like terms)
276t = 808 (Subtracted 8 from 816)
t = 202/69 (After dividing 808 and 276, the answer is remained in fraction form!)
First, distribute into parentheses
4t+8= 816-272t
Now, subtract 4t from both sides
8= 816-276t
Subtract 816 from both sides
-808= -276t
Divide both sides by -276
2.927= t
Hidemi is a waiter. He waits on a table of 4 whose bill comes to $90.27. If Hidemi receives a 15% tip, approximately how much will he receive?
$4.50
$103.50
$13.50
$13.05
Answers
Hidemi will receive a tip approximately amount of $13.50 which is the correct answer would be option (C).
Hidemi works as a waiter. He serves a table of four with a bill of $90.27. If Hidemi gets a 15% tip which is given in the equation.
What is the percentage?The percentage is defined as a ratio stated as a fraction of 100.
For example, if Shekharaman received a 57% on his quiz, she received a 67 out of 100. It is written as 57/100 in fractional form and 57:100 in ratio form.
We have to determine the evaluation of 15% of $90.27.
⇒ 15% of 90.27
15% is described as 15/100 in fractional form
⇒ (15/100)(90.27)
15/100 is expressed as 0.15 in decimal form
⇒ (0.15)(90.27)
Apply the multiplication operation, and we get
⇒ 13.540 ≈ 13.50
Therefore, He will receive a tip approximately amount of $13.50.
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A plane has 360 total seats, which are divided into economy class and business class. For every 13 seats in economy class, there are 5 seats in business class.
How many seats are there in each class?
Answers
The first thing you want to do is add 13+5 which gives you 18. SO then you see how many times 18 goes into 360. Which gives you 20. So then you multiply 20 by 5 (because there are 5 business seats for every 13 and 18 went into 360 20 times, which gives you 100 business seats. Then you subtract 100 from 360 to see how many economy seats are left which gives you 260 economy seats. So there are 100 business seats and 260 economy seats.
I hope this helped!
I am, yours most sincerely,
SuperHelperThingy
there are 360 TOTAL seats, and the ratio of eco to business is 13:5, so lets suppose there are 13x eco and 5x business.
13x+5x=360
18x=360
x=20
so 13x=260 and 5x=100
there are 260 eco seats and 100 business seats.
kelly subscribes to a service called mysongs for downloading music she pays a $7 fee each month to download an unlimited numbers of songs at $0.20 each last month kelly's bill was $23.80
Answers
subtract the fee from the total to get the amount actually spent on songs
23.80-7 = 16.80
divide that amount by price per song to get number of songs downloaded
16.80 /0.20 = 84 songs
what is the inverse of the function h(x) = 3x^2 - 1?
Answers
To find the inverse, we need to interchange the variables and solve for y.
So, the answer is
[tex]h ^{-1}(x)= \sqrt{3(1+x)/3 [/tex] , [tex]- \sqrt{3(1+x)}/3[/tex]
I hope this helps!
1. Trade places between y and x (h(x) and x in this case)
2. Solve for y (h(x) in this case)
3. That's all!
Let's solve it now:
1. Trade places between h(x) and x: [tex]x = 3(h(x))^{2} -1[/tex]
2. Solve for h(x):
[tex]3(h(x))^{2} = x+1 \\ (h(x))^{2} = \frac{x+1}{3} \\ h(x) = + \sqrt{ \frac{x+1}{3} } [/tex] or [tex]- \sqrt{ \frac{x+1}{3} }[/tex]
3. So, the inverse is system of graphs [tex]h(x) = + \sqrt{ \frac{x+1}{3} }[/tex] and [tex]h(x) = - \sqrt{ \frac{x+1}{3} }[/tex]
A supplier sells 2 1/4 pounds of mulch for every 1 1/3 pounds of gravel. The supplier sells 173 pounds of mulch and gravel combined. How many pounds of each item does the supplier sell?
Answers
Answer:
[tex]\frac{4,671}{59} pounds[/tex] of mulch and [tex]\frac{5,536}{59}pounds[/tex] of gravel were sold.
Step-by-step explanation:
Mass of mulch sold = x pounds
Mass of gravel sold = y pounds
Total mass of mulch and gravel sold = 173 pounds
x + y = 173 ...[1]
Supplier sells [tex]2\frac{1}{4}[/tex] pounds of mulch for every [tex]1\frac{1}{3}[/tex] pounds of gravel.
That is for [tex]\frac{9}{8}[/tex] pounds of mulch for every [tex]\frac{4}{3}[/tex] pounds of gravel.
Then gravel sold for 1 pound mulch = [tex]\frac{4}{3}\times \frac{8}{9}=\frac{32}{27} pounds[/tex]
Then for x pounds of mulch the gravel sold will be:
[tex]\frac{32}{27} pounds\times x[/tex]
Mass of gravel sold = [tex]y = \frac{32}{27} pounds\times x[/tex]
Putting value of y in [1] :
[tex]x + \frac{32}{27} pounds\times x = 173[/tex]
x =[tex]\frac{4,671}{59} pounds[/tex]
y = [tex]173 pounds -\frac{4,671}{59} pounds=\frac{5,536}{59}pounds[/tex]
[tex]\frac{4,671}{59} pounds[/tex] of mulch and [tex]\frac{5,536}{59}pounds[/tex] of gravel were sold.
A sequence consists of 16 consecutive even integers written in increasing order. the sum of the first 8 of these even integers is 424. what is the sum of the last 8 of the even integers?
Answers
Ms. Wilson works at a music store. On Black Friday she sold 6 more than 3 times the number of CDs she sold on Cyber Monday. Ms. Wilson sold a total of 110 CDs on Black Friday and Cyber Monday. How many CDs did she sell on each day?
Answers
show the picture
please
A bowl holds 3/10 cup of oil when it is 2/5 full. Which statement best describes the quotient of 3/10 divided by 2/5?
The maximum amount of oil the bowl can hold is Fraction 3 over 4 cup.
The maximum amount of oil the bowl can hold is Fraction 4 over 3 cups.
The amount of oil that can be still poured in the bowl is Fraction 3 over 4 cup.
The amount of oil that can be still poured in the bowl is Fraction 4 over 3 cups.
Answers
(3/10) / (2/5)
(3/10)/(2/5) = 3/10 * 5/2 = 15/20 = 3/4
The bowl holds 3/4 of a cup
Answer:
3/4 cups
Step-by-step explanation:
which of the following pairs of functions are inverses of each other?
Answers
Answer:
The pair which are inverse of each other are:
Option: C
[tex]f(x)=11x-4\ and\ g(x)=\dfrac{x+4}{11}[/tex]
Step-by-step explanation:
Two functions f(x) and g(x) are said to be inverse of each other if:
fog(x)=gof(x)=x
i.e. the composition of two functions give identity no matter what the order is.
A)
[tex]f(x)=\dfrac{x}{12}+15[/tex] and [tex]g(x)=12x-15[/tex]
Now we calculate fog(x):
[tex]fog(x)=f(g(x))\\\\fog(x)=f(12x-15)\\\\fog(x)=\dfrac{12x-15}{12}+15\\\\fog(x)=x-\dfrac{15}{12}+15\\\\fog(x)=x-\dfrac{55}{4}\neq x[/tex]
Hence, option: A is incorrect.
B)
[tex]f(x)=\dfrac{3}{x}-10\ and\ g(x)=\dfrac{x+10}{2}[/tex]
Now we calculate fog(x):
[tex]fog(x)=f(g(x))\\\\fog(x)=f(\dfrac{x+10}{3})\\\\fog(x)=\dfrac{3}{\dfrac{x+10}{3}}-10\\\\fog(x)=\dfrac{9}{x+10}-10\neq x[/tex]
Hence, option: B is incorrect.
D)
[tex]f(x)=9+\sqrt[3]{x}\ and\ g(x)=9-x^3[/tex]
Now we calculate fog(x):
[tex]fog(x)=f(g(x))\\\\fog(x)=f(9-x^3)[/tex]
[tex]fog(x)=9+\sqrt[3]{9-x^3}\neq x[/tex]
Hence, option: D is incorrect.
C)
[tex]f(x)=11x-4\ and\ g(x)=\dfrac{x+4}{11}[/tex]
Now we calculate fog(x):
[tex]fog(x)=f(g(x))\\\\fog(x)=f(\dfrac{x+4}{11})[/tex]
[tex]fog(x)=11\times (\dfrac{x+4}{11})-4\\\\fog(x)=x+4-4\\\\fog(x)=x[/tex]
Similarly,
[tex]gof(x)=g(f(x))\\\\gof(x)=g(11x-4)\\\\gof(x)=\dfrac{11x-4+4}{11}\\\\gof(x)=\dfrac{11x}{11}\\\\gof(x)=x[/tex]
Hence, option: C is the correct option.
Answer:
D.f(x)=8x³+6 and g(x)=³x-6/8
Step-by-step explanation:
apex
Which of the following number lines represents the solution set of 11 + x ≥ 14?
Answers
1) 11+x >= 14
2)x<=14-11
4)x<=3
Answer:
The line that represents the solution set of [tex]11+x\geq 14[/tex] is the second one.
Step-by-step explanation:
If we want to find the line, we need to solve the inequality.
The inequality is [tex]11+x\geq 14[/tex]
If we solve it in terms of x :
[tex]11+x\geq 14[/tex]
[tex]x\geq 14-11[/tex]
[tex]x\geq 3[/tex]
This means that the solution of the inequality [tex]11+x\geq 14[/tex] are all real numbers greater or equal to 3.
The line that represents [tex]x\geq 3[/tex] is the blue line in the second number line.
It is important to notice that [tex]x>3\neq x\geq 3[/tex] because in the second expression the number 3 is included.
In the second line the number ''3'' is included because there is a blue point in the number 3 instead of the first number line where in the number ''3'' the blue point is empty.
Which is the equation of the graphed line written in standard form? y = x x – y = 0 x – y = 0 y = x
Answers
Answer:
The equation of the graphed line written in standard form is:x-y=0
Step-by-step explanation:
we know that for graphing lines the equation of a line must be in standard form.
the standard form of a line is given by [tex]ax+by=c[/tex] where a,b,c are some real numbers.
hence, in the given question for graphing our line we must use the equation [tex]x-y=0[/tex] because on comparing it to the general equation of the line [tex]ax+by=c[/tex] we have here a=1, b=-1 and c=0.
therefore the standard form is: [tex]x-y=0[/tex]
Answer:
C. x – y = 0
Step-by-step explanation:
edg. 2020 quiz
Write an expression for the sum of four consecutive odd integers where 2n +1 represents the smallest odd integer.
Answers
the four odd numbers are 2n+1, 2n+3, 2n+5, 2n+7
2n+1+2n+3+2n+5+2n+7=8n+16
Greg and Josh want to go whitewater rafting in 3 weeks. Josh is able to save the $480 he needs to go on the trip by saving the pay he received for 5 hours of work each week. Greg must save 8 hours worth of pay each week in order to have enough money. How much more money does Josh make than Greg? a. $10 b. $12 c. $14 d. $20
Answers
Greg = 480/24 or 20
Let J = how much more Josh has than Greg.
J = 32 - 20
Solve for J to find your answer.
Answer: Option 'b' is correct.
Step-by-step explanation:
Since we have given that
Amount Josh is able to save = $480
Number of hours of work each week = 5
Number of weeks = 3
So, Amount Josh makes is given by
[tex]\dfrac{480}{5\times 3}\\\\=\dfrac{480}{15}\\\\=\$32[/tex]
Similarly,
Number of hours of work each week by Greg = 8
Number of weeks = 3
So, Amount Greg makes is given by
[tex]\dfrac{480}{3\times 8}\\\\=\dfrac{480}{24}\\\\=\$20[/tex]
More amount of money that Josh make than Greg is given by
[tex]32-20\\\\=\$12[/tex]
Hence, Option 'b' is correct.
A car is traveling at a rate of 120 kilometers per hour. what is the car's rate in miles per hour? how many miles will the car travel in 5 hours? in your computations, assume that 1 mile is equal to 1.6 kilometers.
Answers
1 mile = 1.6 km
speed = 120 km per hr
divide 120 with 1.6 to get in miles=120/1.6
= 75 miles per hour
speed = 75 miles per hour
So, in 1 hr, it can travel 75 miles
the distance traveled by car in 5 hours = 75*5=375 miles
Result : Speed = 75 miles per hour , distance = 375 miles
Zeke ran 4 miles in 45 minutes. if he keeps up the same pace, how long will it take him to run 10 miles?
Answers
Final answer:
Zeke's pace is approximately 5.33 miles per hour. To run 10 miles at this pace, it will take him about 113 minutes.
Explanation:
To solve how long it will take Zeke to run 10 miles at the same pace, we need to establish his running speed. We know that Zeke ran 4 miles in 45 minutes, which we can convert to hours for simplicity. Since there are 60 minutes in an hour, this is ⅔ of an hour. So, Zeke's pace is 4 miles per ⅔ hour, or 4 miles per 0.75 hours, which is ≈ 5.33 miles per hour.
Now, we use this pace to determine how long it will take him to run 10 miles. If Zeke runs at a pace of 5.33 miles per hour, then we can calculate the time for 10 miles by dividing the distance by the speed:
Time = Distance ÷ Speed
Time = 10 miles ÷ 5.33 miles/hour
Time ≈ 1.88 hours
Since we want the time in minutes, we multiply by 60 minutes per hour:
1.88 hours × 60 minutes/hour ≈ 112.8 minutes
So, it would take Zeke approximately 113 minutes to run 10 miles at the same pace.
Given the two original statements, can a true conclusion be met? If so, what would it be? If not, why not?
1) If it is June, then it is summer.
2) It is summer.
Conclusion:
Answers
its summer.
You cant deduce its june because b doesnt imply a
therefore no conclusion
From the two original statements above, the answer would be yes, a true conclusion can be met since then It is summer.
What is a possibility?Multiply the total number of possible outcomes by the total number of events. Divide the total number of ways the event can occur by the total number of possible outcomes after determining the probability event and its corresponding consequences.
Given:
1) If it is June, then it is summer.
2) It is summer.
Based on the two original statements, a true conclusion can be made.
Statement 1) says that if it is June, then it is summer. Statement 2) says that it is summer.
Therefore, we can conclude that it is possible that it is June.
However, we cannot conclude for certain that it is June, because there could be other times of the year when it is also summer (depending on the geographic location). For example, in the southern hemisphere, December is summer, not June.
So a possible true conclusion based on these statements is "It is possible that it is June."
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535 students of the senior class voted to take a field trip ir 3/4 of the class voted, how many students voted for the trip? Round your answer to the nearest whole number.
Answers
Answer:
401 students voted for the trip .
Step-by-step explanation:
As given in the question
535 students of the senior class voted to take a field trip[tex]\frac{3}{4}[/tex] of the class voted .
Thus
[tex]Students\ voted\ for\ the\ trip = \frac{3}{4}\times Total\ students[/tex]
Put value in the above
[tex]Students\ voted\ for\ the\ trip = \frac{3\times 535}{4}[/tex]
[tex]Students\ voted\ for\ the\ trip = \frac{1605}{4}[/tex]
= 401
Therefore 401 students voted for the trip .
can someone tell me what the answer for this problem is? (and how you are able to get that answer)
Answers
now, if you set y to 0, so you can solve for "x", you'll notice, you'll get 7 twice, you can see it from (x-7) twice there, it has that root twice.
so, when x = 7, y = 0, that's the x-intercept, or so-called a solution or zeros.
now, it happens twice though, so, that simply means, the root of 7 has a multiplicity of 2 and is an even multiplicity, and even number, and when that happens, the graph doesn't really cross the x-axis, it simply bounces off of it.
so the graph goes down down, gets to 7, bounces back up, well, it made a U-turn, that's the vertex, at 7,0 as well.
to find the y-intercept, simply set x = 0, let's do so
[tex]\bf y=\cfrac{1}{2}(x-7)(x-7)\implies y=\cfrac{1}{2}(0-7)(0-7)\implies y=\cfrac{1}{2}(-7)(-7) \\\\\\ y=\cfrac{49}{2}\implies y=24.5[/tex]
so is at 0, 24.5
the stretch will be the coefficient in front of the function, in this case is 1/2, is stretches in relation to the y-axis by twice as much.
potatoes are selling for $0.48 per pound. how much is 12 lbs. of potatoes?
A $57.60
B $60.06
C $5.76
D $6.06
Answers
The answer is C ) $5.76
What is m∠L?
Enter your answer in the box.
°
Answers
We are given a triangle JKL.
<J =5x°
<K = 2x°
<L = 3x°.
Note: Sum of angles of a triangle is 180°.
Therefore, <J +<K+<L = 180°.
5x +2x+3x = 180°.
10x = 180
Dividing both sides by 10, we get
10x/10=180/10
x = 18.We need to find the m<L.
m<L =3x° = 3(18) = 54°.
Therefore, m<L = 54°.What is the value of the expression when n=3?
–2n(5 + n – 8 – 3n)
Answers
-6(5+3-8-9)
-30-18+48+54
-48+48+54
54 is the answer
Answer:
THE THERD OPTOIN YALL TRUST ME PLEASE
Step-by-step explanation:
Suppose you had d dollars in your checking account. You spent $10 but have at least $50 left. How much money did you have initially? Write, solve, and graph an inequality that represents this situation.
Answers
<--------------------------------•>-------------------------------->
0 10 20 30 40 50 60 70 80 90 100
Closed circle facing the increasing number on 50
On any given day, Juan will break even if he earns as much money as he spends. On day 5, he records the expression 16 + (–16). Does Juan break even? Explain.
Answers
Final answer:
Juan breaks even on day 5 as the expression 16 + (–16) equals zero, indicating that his earnings match his expenses.
Explanation:
You've asked whether Juan breaks even on day 5 when he records the expression 16 + (–16). In mathematics, breaking even means that income equals expenses, resulting in a net change of zero. The expression Juan recorded represents earning 16 units of money and spending 16 units of money. The negative sign in front of the second number indicates money going out, which is his expense.
To determine if he breaks even, we add the amounts together: 16 + (–16) = 0. Since the sum is zero, Juan does not gain or lose any money, which means he does indeed break even on day 5.
What additional information could you use to show that ΔSTU ≅ ΔVTU using SAS? Check all that apply.
UV = 14 ft and m∠TUV = 45°
TU = 26 ft
m∠STU = 37° and m∠VTU = 37°
ST = 20 ft, UV = 14 ft, and m∠UST = 98°
m∠UST = 98° and m ∠TUV = 45°
Answers
UV = 14 ft and m∠TUV = 45°
ST = 20 ft, UV = 14 ft, and m∠UST = 98°
Or, in other words, Options A and D.
Calculate dy/dx if y = Ln (2x3 + 3x).
Answers
Differentiate using the chain rule:
d/du [ln(u)] d/dx[2x^3+3x]
derivative of ln(u) = 1/u
1/u d/dx[2x^3+3x]
1/2x^3+3x d/dx[2x^3+3x]
Differentiate
(6x^2+3) 1/2x^3+3x
Simplify
Dy/dx = 3(2x^2+1) / x(2x^2 +3)
Answer:
[tex]\frac{(6x^2+3)}{(2x^3+3x)}[/tex]
Step-by-step explanation:
[tex]\frac{dy}{dx}[/tex] [tex]ln(x)=[/tex] [tex]\frac{1}{x}[/tex] .
Therefore:
[tex]\frac{dy}{dx}[/tex] [tex]ln(2x^{3}+3x) = \frac{1}{2x^{3}+3x} *6x^2+3[/tex]
[tex]6x^2+3[/tex] is multiplied because of the chain rule.