The statements that are true about the dot plot are: I, III, and IV only.
What is the Spread of a Data in a Dot Plot?The range, which is the difference between the maximum and minimum value, is a measure of the spread of a data distribution.
In the dot plot given, the spread of the data is: 30 - 25 = 5.
The peak points are at 27 and 28, and the data looks symmetrical in shape with no clear outlier.
Therefore, the statements that are true about the dot plot are: I, III, and IV only.
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There are 85 students in a college mathematics class. Five students are
chosen to work on a project together. How many different groups of five
students are there in this class?
Answer:
17
Step-by-step explanation:
85/5=17
math work pls help!!
Answer:
Step-by-step explanation:
The graph is generally increasing. Thus, as the weight increases, the cost increases with it.
Give the name (monomial,
binomial, trinomial etc.) and
degree of the polynomial.
V29x6
Answer:
x 3 -2x
Step-by-step explanation:
Prisms A and B are similar. The volume of prism A is 375cm3. The volume of prism B is 648cm3. The surface area of prism A is 250cm2. Work out the surface area of prism B.
Answer:
We have the length, width, and height of the rectangular prism, so we can calculate V=l×w×h=20cm×10cm×10cm=2,000cm3 V = l × w × h = 20 cm × 10 cm × 10 cm = 2 , 000 cm 3
The surface area of Prism B is approximately 367.25 cm^2.
Since Prisms A and B are similar, their corresponding sides are in proportion, and their volumes are related by the cube of the scale factor between them.
Let the scale factor between Prism A and Prism B be k. Then:
Volume of Prism A / Volume of Prism B = (Side length of Prism A / Side length of Prism B)^3
Given that the volume of Prism A is 375 cm^3 and the volume of Prism B is 648 cm^3, we can set up the equation:
375 / 648 = (Side length of Prism A / Side length of Prism B)^3
Now, let's solve for the scale factor (k):
k^3 = 375 / 648
k^3 = 0.5787037037
k ≈ 0.825 (rounded to three decimal places)
Now, since the surface area of a prism is proportional to the square of its side length, we can find the ratio of the surface areas:
(Surface area of Prism A / Surface area of Prism B) = (Side length of Prism A / Side length of Prism B)^2
Given that the surface area of Prism A is 250 cm^2, we can find the surface area of Prism B:
Surface area of Prism B = Surface area of Prism A / (k^2)
Surface area of Prism B = 250 / (0.825^2)
Surface area of Prism B ≈ 250 / 0.680625
Surface area of Prism B ≈ 367.25 cm^2
Therefore, the surface area of Prism B is approximately 367.25 cm^2.
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How many solutions does the system formed by x - y = 2 and ay - ax + 2a = 0 have for a nonzero
number a? Give your answer and complete the explanation.
The system has (select)
solution(s). Rearranging the left side of the 2nd equation and
subtracting 2a from both sides gives-ax + ay =
a. Dividing both sides by-a gives
x-y=
So, the equations describe the same line.
Answer:
1
y = 0
x = 2
Step-by-step explanation:
The first thing we want to do to solve a system of equations is to solve one of them in terms of a single variable.
Lets start with x - y = 2
If we add y to both sides we get: x = 2 + y
Now to solve the system of equations we can substitute that value for x into the other equation. In any system of equations a solution for one must be a solution for the other as well.
ay - ax + 2a = 0
When we substitute our value of x into this equation and get the folowing:
ay - a(2 + y) +2a = 0
ay -2a - ay + 2a = 0
All of the terms cancel out on the left side leaving us with:
0 = 0
This means that the only way this system can be solved is if y is equal to 0.
Going back to the first equation x - y = 2
x - 0 = 2 so x = 2
This is the only solution to that system of equations, which means it forms a point instead of a line.
Alicia tiene un reloj que se retrasa 3 segundos cada día. ¿Cuántos minutos y segundos se retrasa en un mes?
¿Y en un año?
En un mes el reloj de Alicia se retrasa 1.5 minutos, por otra parte en un año su reloj se retrasa 18 minutos y 15 segundos.
¿Cuánto se retrasa el reloj en un mes?La mayoría de los meses tienen entre 30 y 31 días:
Mes de 30 días:
3 segundos x 30 = 90 segundos / 60 segundos = 1 minuto y 30 segundos3 segundos x 31= 91 segundos/ 60 segundos = 1 minuto y 31 segundosEn general se atrasa 1.5 minutos en un mes.
¿Cuánto se retrasa el reloj en un año?3 segundos x 365 días = 1095 segundos/ 60 segundos = 18 minutos y 15 segundos.Aprenda más sobre el reloj en: https://brainly.com/question/8776916
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Find y.
B
C
Зу
A
8 D
м
2
4
15
10
Answer:
y=4
Step-by-step explanation:
The question is asking what is the value of y:
Since all lengths have a dash on them they are all equal :
So 3y = y+8
3y = y + 8
First we subtract y from both sides:
3y-y = y+8-y
2y = 8
Divide both sides by 2:
2y÷2 = 8÷2
y = 4
A sculpture is made of two sizes of rectangular prisms. one size measures 13 in by 8 in by 2 in. the other size measures 9 in by 8 in by 18 in. what is the total volume of the sculpture
Answer:The answer should be 1504 if i did it corectly
Step-by-step explanation: to get volume you need to multiply L*W*H and filling that in. 13 * 8 * 2 whitch you should get 208
the other size would have to be 9 * 8 * 18 which you should get 1296
then to get the total you just need to add together the two sums 208+1296 which should equal 1504.
Which of the following are prime factors of both 24 and 42? Select all that apply.
Answer:
2 and 3
Step-by-step explanation:
So, 24=2x2x2x3
42=2x3x7
3 and 2
Answer:
2 and 3
Step-by-step explanation:
prime factors for 42: 2, 3, and 7
prime factors for 24: 2,2,2 and 3
45 points!
x+1(8+5)+y2-3(x3+y-4)=36-4+x7-y-1
pls i need help now!
15. In the graph below, f(x) is a linear function and g(x) is an exponential function. Using the graph provided, what is
the equation for f(x)? What is the equation for g(x)?
Answer:
That'd be B. The red graph has the classic shape of an exponential function (y-intercept (0,1), and the blue on e has the shape of a log function (x-intercept (1,0). These two functions are inverses of one another, and so their graphs are reflections about the line y = x.
Step-by-step explanation:
ayuda porfa, quien entiende???
Answer:
c
Step-by-step explanation:
the right answer is c it good
The shortest leg of a 30-60-90 triangle is 5 inches. How long is the hypotenuse?
10 inches
10√2 inches
10√3 inches
5√2 inches
Answer:
the 2nd one
Step-by-step explanation:
i did the test and got correct
Can someone please help me I will give u brainest please
Answer:
1/24
Step-by-step explanation:
1/2x1/2x1/6
"1/2" for which marble you choose
"1/2" for what the spinner lands on
"1/6" for what number the dice rolls
Use substitution to solve the system.
-4x+5y = -26
y = 3x-14
Answer:
x= 4, y= -2
Step-by-step explanation:
To solve the system by substitution, start by labelling the two equations:
-4x +5y= -26 -----(1)
y= 3x -14 -----(2)
Since the second equation already has y as the subject of formula, we can substitute equation (2) into (1). This means that we can replace all the 'y's in equation (1) with 3x -4, such that equation (1) will only be in terms of x.
Substitute (2) into (1):
-4x +5(3x -14)= -26
Expand:
-4x +15x -70= -26
11x= 70 -26
11x= 44
Divide both sides by 11:
x= 44 ÷11
x= 4
Substitute x= 4 into (2):
y= 3(4) -14
y= 12 -14
y= -2
A car travels 28 miles south and then 45 miles east around a lake. A boat leaves from the same place and arrives at the same place but travels directly from point A to point B. Calculate how many miles the boat and the car each traveled total. Then calculate who arrived first if the car was traveling at 40miles per hour and the boat traveled at 25 miles per hour.
Answer:
The car travelled 73 miles
The boat travelled 53 miles
The car arrived 17.7 minutes before the boat
Step-by-step explanation:
The total distance the car travelled from Point A to Point B = 28+45 = 73 miles
The total distance the boat travelled is given by the displacement; Using Pythagorean theorem = 53miles.
Time taken by the car = Distance/Speed = 73/40 = 1.825 hrs or 109.5 minutes
Time taken by the boat = Distance/speed = 53/25 = 2.12 hrs or 127.2 minutes.
The time taken by the car is the shortest, therefore it arrives first before the boat.
(◔‿◔)
1.2, 5.8, 3.7, 9.7, 5.5, 0.3, 8.1
what is the Median
Answer:
it would be 5.5
Step-by-step explanation:
0.3 1.2 3.7 5.5 5.8 8.1 9.7
Answer:
4.9
Step-by-step explanation:
Median; add up all the numbers then divide by the amount of data points
1.2 + 5.8 + 3.7 + 9.7 + 5.5 + 0.3 + 8.1
7 + 3.7 = 10.7
10.7 + 9.7 = 20.4
20.4 + 5.5 = 25.9
25.9 + 0.3 = 26.2
26.2 + 8.1 = 34.3
34.3 / 7 =4.9
I really need help with this.
Answer:
See attachment
Step-by-step explanation:
See attached image.
Find the volume of a right rectangular prism if the dimensions of the base are 6.8 centimeters by 12.5 centimeters and the height is 13 centimeters.
A.
B.
C.
D.
Answer:
6.8 x 12.5 x 13 = 1105
Step-by-step explanation:
Answer:
the answer is 1105
Step-by-step explanation:
If f(x)=3x^6+4x^3-4, then what is the remainder when f(x) is divided by x+1?
Answer:
-5
f(-1) would be the remainder
Please help me with this
Answer:
Look at the photo.
Step-by-step explanation:
The formula is y=mx+b. So, for the first one you start at the coordinate (0, 2) and then move down 2 and right one.
For the second one you start at the coordinate (0, -2) and then move down two and move right one.
3 L of water are shared equally among 5 friends. What fraction of a liter did each friend get?
Explanation: Simply divide 3 over 5. We cannot do much with the fraction since 3/5 can't be reduced. So we leave it as is.
3/5 in decimal form is exactly 0.6 and that converts to 60%, meaning each person gets 60% of a full liter.
Multiply the binomials (4x + 7) and (2x - 8).
es )
A)
8x2 +18x - 56
B)
8x2 - 18x - 56
8x2 - 46x + 56
D)
8x2 - 46x - 56
8x²-18x-56
Solve :
(4x + 7) (2x - 8)apply distributive method
(4x)(2x)+(4x)(-8)+7(2x)+7(-8)simplify the following
8x²-32x+14x-56final outcome
8x²-18x-56Answer:
B) [tex]8x^2-18x-56[/tex]
Step-by-step explanation:
Given expression:
[tex](4x + 7)(2x - 8)[/tex]
Apply the FOIL method: [tex](a+b)(c+d)=ac+ad+bc+bd[/tex]
[tex]\implies (4x \cdot 2x)+(4x \cdot -8)+(7 \cdot 2x) +(7 \cdot -8)[/tex]
[tex]\implies 8x^2-32x+14x-56[/tex]
Combine like terms:
[tex]\implies 8x^2-18x-56[/tex]
Hurry pls!
A miniature connector is shaped like this hexagonal prism. The prism has a base area of 8.15 cm².
What is the volume of the connector?
Enter your answer as a decimal in the box.
cm³
The volume of the connector given the base area and the height is 84.70cm³.
What is the volume of the connector?A hexagonal prism is a three dimensional object that is made up of a hexagonal base. It has 8 faces, 18 edges, and 12 vertices.
Volume = [tex]\frac{3\sqrt{3} }{2} a^{2}h[/tex]
Where:
a²= base area h = height2.598076 x 8.15 x 4 = 84.70cm³
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Answer:
32.6 cm³ for K12
Can you help me with this
Answer:
i think it is b
Step-by-step explanation:
i am not good at math sorry
What about this one?
Answer:
108
Step-by-step explanation:
Okay here we see a diameter of 6 which is a line that shows the width of the whole circle. The radius is half of the diameter. So its 3. So its asking to use 3 for pie and the formula is 4/3 pie r^3. So we do 4/3 times 3 times 3^3 and we get 108. I hope this helps.
The solid below is made from cubes.
Find its volume.
Answer:
78.5 cm. cubed
Step-by-step explanation:
Answer:
60 cm cubed
Step-by-step explanation:
A random sample of people were surveyed on their favorite sport, as shown in the table below sorted by the respondent’s age.
What percent of the people between the ages of 21 and 34 prefer other sport and/or hate sports? Round your answer to the nearest tenth of a percent.
Answer:
22.5%
Step-by-step explanation:
The total of people surveyed between 21-34 is 40 and the total number who prefer other or hate sports is 9 so the percent is 9/40 which is equal to 2.25. Multiply this number by 100 to get it as a percent and you have 22.5%
22.5% of the people between the ages of 21 and 34 prefer "Other/Hate Sports."
What is Percentage?Percentage is a way of expressing a fraction or a portion of a whole as a value out of 100. It is denoted by the symbol "%". Percentages are used to represent proportions, ratios, or rates in a more easily understandable and comparable form.
To find the percentage of people between the ages of 21 and 34 who prefer other sports and/or hate sports, we need to calculate the proportion of the total respondents in that age group who have chosen "Other/Hate Sports."
The table shows that there are 9 people between the ages of 21 and 34 who prefer "Other/Hate Sports" out of a total of 40 respondents in that age group.
So, Percentage = (Number of people with the preference / Total number of respondents in the age group) x 100
= (9 / 40) x 100
= 22.5%
Therefore, 22.5% of the people between the ages of 21 and 34 prefer "Other/Hate Sports."
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PLEASE ANSWER!!!!
Yusuf tried to solve an equation step by step.
1/4r+2=10
Step 1:
1/4r=12
Step 2:
R=48
Find Yusuf's mistake.
Choose one answer:
A.) Step 1
B.) Step 2
C.) Yusuf didn't make a mistake
Answer:
Step-by-step explanation:
Step one is not correct. He got 12. He should have obtained 10 -2 = 8. You need to subtract 2 on the left to get rid of the 2 there. So you must subtract 2 on the right.
Answer: Step one contains the error.
Answer:
A. Step 1
Step-by-step explanation:
I did it on khan so its right
a phone call from a pay phone cost $3.18 for a 10 minute call. what is the cost per minute for the call?
Answer:
$0.318 per minute
Step-by-step explanation:
3.18/10 = 0.318
3.18 divided by 10 equals 0.318
Answer:
3.18 cents per minute
Step-by-step explanation:
318 cents / 10 minutes = 3.18 cents per minute