4. The data shows the time in seconds for 8 runners competing in the 100-meter dash at Saturday's track meet. [14, 13, 16, 15, 12, 14, 13, 15] What value describes the mean of the data?
5. which statement is true about the measures of center?
A:) The median and mean are equivalent, so the shape of the distribution is symmetric.
B:) The mean is greater than the median, so the shape of the distribution is skewed.
C:) The median is greater than the mean, so the shape of the distribution is non-symmetric.
D:) You cannot determine any information about the shape of the distribution using the measures of center.
6. which of the following could NOT be used to describe a measure of spread?
F:) 4
G:) 13 to 15
H:) 12 to 16
J:) 14
Bonus:) The only info I have so far is the order of the numbers which is 12, 13, 13, 14, 14, 15, 15, 16.
Answers
Answer:
Step-by-step explanation: To find the mean of the data, we add up all the values and divide by the number of values:
(14 + 13 + 16 + 15 + 12 + 14 + 13 + 15) / 8 = 14
So the mean of the data is 14.
B) The statement "The mean is greater than the median, so the shape of the distribution is skewed" is generally true. However, there are some cases where the mean and median can be equal and the distribution can still be skewed, so the statement is not always true.
F) 4 cannot be used to describe a measure of spread since it is a single number and does not provide any information about the range or variability of the data.
Bonus: Given the ordered data set [12, 13, 13, 14, 14, 15, 15, 16], we can determine several measures of center and spread. The median is 14 since it is the middle value when the data is ordered. The mean is also 14 since the sum of the values divided by 8 is 112/8 = 14. The range is 16 - 12 = 4, and the interquartile range (IQR) is the difference between the first and third quartiles. The first quartile (Q1) is the median of the lower half of the data, which is (12 + 13 + 13 + 14) / 4 = 13, and the third quartile (Q3) is the median of the upper half of the data, which is (14 + 15 + 15 + 16) / 4 = 15. So the IQR is 15 - 13 = 2.
Related Questions
An empty box is shaped like a rectangular prism. The box has a base area of 9/10 square feet and a height of 1/3 foot. How much packing material is required to fill the box?
A. 3/10 \(ft^{3}\)
B. 1/10\(ft^{3}\)
C. 1/3\(ft^{3}\)
D. 2/3\(ft^{3}\)
Answers
We need volume
Area of base=9/10ft^2Height=1/3ftSo
Volume=Area of base×Heightvolume:-
\(\\ \rm\rightarrowtail \dfrac{9}{10}\times \dfrac{1}{3}\)
\(\\ \rm\rightarrowtail \dfrac{3}{10}ft^3\)
It took 15 days to build 3/5 of a new road At a rate how long will it take to build the whole road
Answers
Answer:
it will take 25 days
Explanation:
15÷3=5
5=days for 1/5th road
5×2=10
10+15=25 day
The number of days taken to build the whole road will be 25 days.
What is the rate?The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
It took 15 days to build 3/5 of a new road. Then the number of days taken to build the whole road will be given as,
⇒ (15) / (3/5)
Simplify the expression, then the number of days is given as,
⇒ (15) / (3/5)
⇒ (15) x (5/3)
⇒ 5 x 5
⇒ 25 days
The number of days taken to build the whole road will be 25 days.
More about the rate link is given below.
https://brainly.com/question/14731228
#SPJ2
evaluate
−7×(−6)×5= ______
Answers
Answer:
−7×(−6)×5= 210
Step-by-step explanation:
Answer:
210
Step-by-step explanation:
Follow the PEMDAS order of operation
[It stands for Parentheses, Exponents, Multiplication/Division, Addition/Subtraction]
Multiply and Divide (left to right)
--------------------------------------------------
Apply rule -a * (-b)= a *b
-7(-6)= 7 * 6= 42
=42 * 5
-----------------------------------------------
42 * 5 = 210
=210
-----------------------------------------------
[* is the multiplication sign]
Solve the following system of equations.
{x+4y=0
{16y=−4x
Answers
Answer:answer (0,0)
Linear equations with two unknowns
Enter an equation or problem
x+4y=0;16y−4x
We think you wrote
x+4y=0;16y-4x
This solution deals with linear equations with two unknowns.
Solution found
{x,y}={0,0}
See steps
Step by Step Solution
System of Linear Equations entered :
[1] x+4y=0
[2] 16y-4x
Equations Simplified or Rearranged :
[1] x + 4y = 0
[2] -4x + 16y = 0
Graphic Representation of the Equations :
4y + x = 0 16y - 4x = 0
Solve by Substitution :
// Solve equation [1] for the variable x
[1] x = -4y
// Plug this in for variable x in equation [2]
[2] -4•(-4y) + 16y = 0
[2] 32y = 0
// Solve equation [2] for the variable y
[2] 32y = 0
[2] y = 0
// By now we know this much :
x = -4y
y = 0
// Use the y value to solve for x
x = -4(-0/32766) = 0
Solution :
{x,y} = {0,0/32766}
for any given function f(x), if g(x)=f(x+k) and k>0 which of the following statements is true a. g(x) is shifted vertically k units below f(x)
b. g(x) is shifted vertically k units above f(x)
c. g(x) is shifted horizontally k units to the right of f(x)
d. g(x) is shifted horizontally k units to the left of f(x)
Answers
Answer:
IT IS D
Step-by-step explanation:
Alana and two of her friends evenly split the cost of a meal. They determine that each person owes $14.68. How much was the entire cost of the meal?
Remember money is rounded to the nearest hundredth.
Answers
Answer:
$29.36
Step-by-step explanation:
14.68 x 2= 29.36
Answer:
The total cost of the meal was $44.04.
Step-by-step explanation:
To begin this problem, we first determine how many people there are. Alana and two of her friends mean there is a total of 3 people each paying $14.68.
Addition way:
14.68 + 14.68 + 14.68 = the total cost of the meal = $44.04
Multiplication way:
14.68 * 3 = the total cost of the meal = $44.04
This cost is of course without the mention of tax because it isn't listed in the question.
Hope this helped!!
does anyone know how to do this?
Answers
Answer:
12x^2y^5
Step-by-step explanation:
Because you just subtract
Explain the cosine rule and sine rule while also saying how to use it and provide examples (keep it in simple terms)
Answers
Answer:
Sure, I'll explain the cosine rule and sine rule in simple terms:
The cosine rule (also known as the law of cosines) is used to find the length of a side or the measure of an angle in a triangle given the lengths of the other sides and the angle between those sides. It states that c^2 = a^2 + b^2 - 2ab cos(C), where c is the length of the side opposite angle C, and a and b are the lengths of the other two sides.
Here's an example of how to use the cosine
Suppose we have a triangle with sides a=6, b=8, and an angle between them c=45 degrees. We want to find the length of the remaining side of the triangle, side a.
Using the cosine rule:
a^2 = b^2 + c^2 - 2bc * cosA
where A is the angle opposite side a, we can plug in our values and solve for a:
a^2 = 8^2 + 6^2 - 2(8)(6) * cos(45)
a^2 = 64 + 36 - 96 * 0.707
a^2 = 10.56
a = sqrt(10.56)
a = 3.25 (rounded to two decimal places)
Therefore, the length of side a is approximately 3.25 units.
Answer:
Step-by-step explanation:
If xx and y vary directly and y is 21 when x is 7, find y when x is 5
Answers
Answer:
y = 15
Step-by-step explanation:
We need to solve for k
y = x
21 = 7k Divide both sides by 7 to solve for k
3 = k
y = xk
y = 5(3)
y = 15
Answer: y = 15
Step-by-step explanation:
Drag each bar to the correct location on the graph. Each bar can be used more than once. Not all bars will be used.
Ella surveyed a group of boys in her grade to find their heights in inches. The heights are below.
have a grate day and thx for helping
67, 63, 69, 72, 77, 74, 62, 73, 64, 71, 78, 67, 61, 74, 79, 57, 66, 63, 62, 71 ,73, 68, 64, 67, 56, 76, 62, 74
Create a histogram that correctly represents the data.
Reset Next
Answers
Answer:
Here is what I got...
Step-by-step explanation:
A project will take a total of 720 person-days to complete. If the project must be completed in 30 days, how many people must be employed? PLEASE HURRY
Answers
Answer:
192 hours per day / 8 hours per person per day = 24 people
Step-by-step explanation:
Assuming each person works for 8 hours a day, the total number of hours needed to complete the project is:
720 person-days x 8 hours = 5,760 hours
To complete the project in 30 days, the total number of hours needed per day is:
5,760 hours / 30 days = 192 hours per day
A scale model of an object has a scale of 1 cm : 3 ft. The actual object is 18 feet tall. How tall is the model?/ A scale model of an object is 6 inches tall. The actual object is 324 feet tall. What is the scale factor of the model?/PLEASE HELP ME SOLVE ALL OF THESE PROBLEMS !!!!!!!!!!!!!!!!!!!!!!!!!
and please answer all of them or I will report ur answer
Answers
Answer:
108 centimeters
Step-by-step explanation:
Given that :
Scale model used for the Eiffel Tower :
2 centimeter represents 6 meters;
This means 2 centimeters on the model represents 6 meters of the Eiffel Tower.
To obtain the height of the model in centimeter :
Let the height of the model = h
h of model = actual height of tower
Actual Height of tower = 324 meters
Using cross multiplication :
2 = 6
h = 324
6 * h = 324 * 2
6h = 648
h = 648 / 6
h = 108
Hence, height of the model = 108 centimeters
Answer: 108 centimeters
Step-by-step explanation:
2 centimeters represents 6 meters;
This means 2 centimeters on the model represent 6 meters of the Eiffel Tower.
Let the height of the model = h
h of the model is = to the actual height of the tower
Actual Height of tower = 324 meters
2 = 6
h = 324
6 x h = 324 x 2
6h = 648
h = 648 divided by 6
h = 108
Search for a photo "Island of Sodor"
Answers
Answer:
Step-by-step explanation:
You have a pizza with diameter 12
2
3 in., and a square box that is 12.65 in. across. Write 12
2
3 as a decimal. Can you fit the pizza inside the box?
What is the decimal expansion for 12
2
3?
A.12.6
B.12.65
C.12.6
D.12.66
pls help me
Answers
Answer:
D is the right choice and no you cannot fit the pizza inside the box.
Step-by-step explanation:
D is the answer because to turn 2/3 into a decimal you would divide 2 by 3 and the answer you would get would be 0.66666666666...You would then add 12 to the answer and get 12.6666... Once you get this answer you would round it to the hundredths to get 12.67 but since that is not an option you could use D, 12.66 inches.
Answer:
I believe the answer is D.
Step-by-step explanation:
Pls pls help me I will give 20 points
Answers
Answer: False- True- 0.2- 2.5- 5.0-
for the last one it's dilated by 1.25
Step-by-step explanation: for each dash its a different question
find the volume of the pyramid
Answers
First find area of triangle( base area)
1/2 x base x height
1/2 x 12in x 12in.
= 72in squared
1/3 x 72 x 17
= 408 inch cube. <<
PLEASE HELP ME WITH THIS!!!!
Answers
Answer:
Step-by-step explanation:
Answer:
The last one: {(-2,-2), (0,0), (-4,-4), (0,-2)}
Step-by-step explanation:
In a function, the x value should not repeat.
The only option that has 2 of the same x values is the last one.
Another way to do this is the vertical line test.
Graph all points, and if two points are on the same vertical line, it's not a function. If all points are on different vertical lines, it is a function.
Hope this helps you understand! :D
HELP PLEASE
Find the distance between the two numbers on a number line. Write your answer as a mixed number.
Answers
what value of x makes this equation true -(x+3)=2(x-3)
A. 0
B. 1
C. 2
D. 3
Answers
Answer:
To solve the equation -(x + 3) = 2(x - 3) for x, we can follow these steps:
Step 1: Distribute the negative sign on the left side of the equation:
-(x + 3) = 2(x - 3)
=> -x - 3 = 2(x - 3) (using the distributive property)
Step 2: Expand the right side of the equation:
-x - 3 = 2x - 6
Step 3: Add x to both sides of the equation to isolate the x term on one side:
-x + x - 3 = 2x + x - 6
=> -3 = 3x - 6
Step 4: Add 6 to both sides of the equation:
-3 + 6 = 3x - 6 + 6
=> 3 = 3x
Step 5: Divide both sides of the equation by 3 to solve for x:
3/3 = 3x/3
=> 1 = x
So, the correct value of x that makes the equation true is B. 1.
PLEASE MARK BRAILYISTT :D
Answer:
B, one
Step-by-step explanation:
In order to solve this, you can solve the equation. First, you can use the distributive property to get -x-3=2x-6. If you make the variables on one side and the constants on the other, you will get -3x-3=-6. This can further simplify to -3x=-6. Divide both sides by -3 to get that x=1. Then, the correct answer is B.
help me with this plsssss
Answers
Answer:
Coordinates are ( 1,3 ) x=1 y=3
Edward deposited $2250 into a savings account 3 years ago. The simple interest rate is 4%.
Edward earned $ __ in interest.
His new account balance is ___$ . (pls step by step explanation)
Answers
2250+270= $2520
How/Solution:
Multiply $2,250 by 4% (0.04)
[ $2,250 x 0.04 = 90]
and it equal to 90, then multiply it again by 3 [ 90 x 3 = 270 ]
His new account balance is $ 2,520
Solution:
Add $2250 by $270
[ $2,250 + $270 = $ 2,520 ]
A scale factor of 1/6 was used to create the scale drawing of a rectangular garden. The length of the garden on the map is 3 inches. What is the length of the actual garden in feet?
Can anyone explain how to do this?
Answers
Answer:
The length of the garden in feet would be 0.25ft
Step-by-step explanation:
3 is 1/4 25% of 12 (foot)
Help me please il give 20 points!
Answers
Answer: 1. a. 15 b. 11 c. 2 d. 7 e. 5.5
2. Stem: Leaf:
1 9
2 5, 9
3 3, 3, 8
4 0, 7, 9
5 4, 5
6 1, 5
7 2, 7
8 1
3. a. 13 inches b. I'm pretty sure that it is the second quarter because there is more snow. c. The first quarter because it's section is more spread out among the numbers.
Step-by-step explanation:
2. Stem:
Leaf:
9
2
5, 9
3
3, 3, 8
4
0, 7, 9
5
4, 5
6
1,5
7
2, 7
8
1
3. a. 13 inches
b. I'm pretty sure that it is
the second quarter because there is more show.
c. The first quarter because it's
section is more spread out among the numbers.
Step-by-step explanation:
Answer this for me!!
Answers
Answer:
A = 48 cm²
Step-by-step explanation:
This figure can be thought of as a rectangle 4 cm by 8 cm in the middle and one triangle on the left side and a congruent triangle on the right side. The triangles have 8 cm bas and 2 cm height.
total area = area of rectangle + 2 × area of triangle
total area = (4 cm)(8 cm) + 2 × (8 cm)(2 cm)/2
total area = 48 cm²
Malia works at a movie theater and is paid hourly. One month, she earned $263 The total amount she earns can be found using the equation y = 7.5x, where x is the number of hours she works and y is the total amount she earns in dollars.
Bill works at a golf course and is also paid hourly. This table shows the total amount he is paid for different numbers of hours worked.
Who makes more pay per hour?
Answers
8.05>7.5
Have a good day to
How does the speed of the cart depend on the time it take the car to reach 100 cm?
Answers
-7 + 4a + (4a+1)
Need answer asap pls and ty, ill give brainly if its right
Answers
-7+4a+4a+1
-7+8a+1
8a-6
-6 + 4a + 4a
-6 + 8a
Asking AGAIN cause a bot answered :(
5 7/12-t=2 4/9: Find out what "T" is. Picture attached!
Answers
Answer:
I got 45
Step-by-step explanation:
Not sure if its correct but that is what I got.
Bob will spend at most $31 on gifts. So far, he has spent $18. What are the possible additional amounts he will spend?
Use c for the additional amount (in dollars) Bob will spend.
Write your answer as an inequality solved for c.
Answers
We can express the inequality as follows:
c ≤ $31 - $18
Simplifying the right side:
c ≤ $13
Therefore, the possible additional amounts Bob will spend, represented by "c," are less than or equal to $13. The inequality is c ≤ $13.
I put this answer in because I didn’t want y’all wasting your daily answers
Please help, I'll give brainliest!
Answers
Step-by-step explanation:The given graph is a line graph, represents increasing and decreasing rainfall in six different years.The given graph misleads ,in terms of length, when amount of rainfall 4.6-3.9 is plotted with six different years 2006-2011. When rainfall decreases from 4.5 to 4.4, the decrease , in length of rectangle is less,should be equal, in comparison to when year increases from 2006 to 2007. It must be in the shape of Square.
Part B if instead of line graph, we will draw bar graph ,representing Amount of rainfall(4.5-3.0) on y axis in the month of July, to 6 different years from (2006-2011) on x axis,i think it will be least misleading.