The mean absolute deviation of the set of data 3, 8, 10, 12, 15 is 2.4.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
To find the mean absolute deviation (MAD)
We have to find the mean (average) of the data set.
The mean is given by mean = (3 + 8 + 10 + 12 + 15) / 5
= 48 / 5
Mean= 9.6
Calculate the absolute deviation of each data point from the mean.
The absolute deviation of each data point from the mean is given by:
|3 - 9.6| = 6.6
|8 - 9.6| = 1.6
|10 - 9.6| = 0.4
|12 - 9.6| = 2.4
|15 - 9.6| = 5.4
The mean of the absolute deviations is given by:
MAD = (6.6 + 1.6 + 0.4 + 2.4 + 5.4) / 5
= 2.4
Therefore, the mean absolute deviation of the set of data 3, 8, 10, 12, 15 is 2.4.
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How is the graph of y= 1/3x related to its parent function y=1/x
I’m not sure this I’m so confused in algebra
anyone willing to help?
from a class containing 12 girls and 10 boys , students are to be selected to serve on a school advisory panel.
Brian wants to buy a motorcycle and is planning to get motorcycle insurance. Suppose the average accident rate is 0.1, and the average expenses incurred on accidents is $38,000. The insurance plan has a yearly premium of $1,000 and a deductible of $4,000.
If after 4 years of insuring 100 people, 9 motorcycle drivers had an accident, where does the company stand after money has been taken in and paid out for this group of 100 insured people?
$85,500
-$36,000
$94,000
$58,000
Answer:
The correct option is $94,000
Step-by-step explanation:
Yearly premium under the insurance plan = $1,000
Total premium from single motorcycle driver in 4 years = $1,000 * 4 = $4,000
Number of people insured = 100
Total premium collected from 100 motorcycle drivers = $4,000 * 100 = $400,000
Average expenses incurred on accident = $38,000
Deductible = $4,000
Net expenses incurred per accident = $38,000 - $4,000 = $34,000
In 4 years , 9 motorcycle drivers had an accident
Total expenses incurred for accident = $34,000 * 9 = $306,000
Net savings of Insurance Company = total premium - total expenses = $400,000 - $306,000 = $94,000
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Thank you !!
Angles that are located outside the triangle are called (blank)
the sum of the exterior angles of a triangle is (blank) degrees
what are remote interior angles?
First, I would like to know what is means when someone asks you to find the Means-To-Mad Ratio. I do not know what a Means-To-Mad Ratio is.
Second, can someone please answer this problem?
1. {15, 16, 17, 17, 17, 17, 18, 19}
2. {12, 13, 13, 14, 14, 14, 16, 16}
Calculate the means-to-MAD ratio for the two number sentences above.
Thank you.
how many solutions does this system of equations have?
y= -3x + 7
y= -3x -6
choices
a. infinitely many
b. 2
c. 1
d. 0
Which it true about modeling a solution to an addition problem on a vertical number line?
A. When adding a negative number, you move down
B. When adding a positive number, you move down
C. Locating the sum is not necessary.
D. Locating the sum is the first step
Answer:
A. When adding a negative number, you move downStep-by-step explanation:
Actually, according to transformation of functions, there's two types of transformation, those that only involve translation, and those that change the dimension of the function.
In this case, modelling a solution to an addition problem, we know that adding a negative number, the function will move downs, because in that case we will be transformation or "changing" the y-variable, that's why it will move vertically.
Therefore, the right answer is A.
jalen deposited 3 370 into a savings account that earns 1.8% simple intrest each year calculate the intrest jalen earns after 4 years
Answer:
17.5
Step-by-step explanation:
for the diagram below which equation is the correct use of the distance formula
the last one D is
D= √(11-6)^2 + (5-y2)^2
Answer: The correct equation is,
[tex]6.71=\sqrt{ (11-5)^2+(y_2-6)^2}[/tex]
Step-by-step explanation:
If [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the endpoints of a line segment,
Then by the distance formula,
The length of the line segment is,
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Here, (5,6) and (11, [tex]y_2[/tex] ) are the endpoint of the line segment which has the length 6.71,
Thus, d = 6.71, [tex]x_1=5[/tex] [tex]y_1=6[/tex], [tex]x_2=11[/tex]
[tex]\implies 6.71 = \sqrt{ (11-5)^2+(y_2-6)^2[/tex]
Which is the required equation.
a normal distribution pf data has a mean of 15 and a standard deviation of 4 how many standard deviations from the mean is 25
Answer:
c 2.5
Step-by-step explanation:
Answer:
2.5
Step-by-step explanation:
:)
The radius of the earth's orbit is 45,000,000 meters. What is the number in scientific notation?
A) 4.5 x 10-7
B) 4.5 x 107
C) 45 x 10-6
D) 45 x 106
using the distributive property,which of the following expression is equivalent to 4(3+4y) 12+16y,12+4y,7+4y,7+8y
Find the distance between -3 and 4.
A) -12
B) -7
C) -1
D) 7
Answer:
i just did it its positive 7
Step-by-step explanation:
Kelly has 236 feet of fence to use to enclose a rectangular space for her dog. She wants the width to be 23 feet. Draw a rectangle that could be the space for Kelly's dog. Label the length and the width.
Final answer:
To create the space for Kelly's dog, a rectangle with a length of 118 feet and a width of 23 feet should be drawn.
Explanation:
To draw a rectangle that could be the space for Kelly's dog, we need to consider the given information. Kelly has 236 feet of fence to use, and she wants the width to be 23 feet.
Since the opposite sides of a rectangle are equal in length, we can divide the total amount of fence by 2 to determine the length of each side. 236 feet / 2 = 118 feet.
So, the rectangle that could be the space for Kelly's dog would have a length of 118 feet and a width of 23 feet.
a basketball court is a rectangle with a perimeter of 1040 feet. The length is 200 feet more than the width. What is the width and length of the basketball court?
Make x the subject of the formula y=ax
mrs.pappert left her house a quater past 7:00. At what time did she leave her house
The mean of 4 numbers is 22. What would the new mean be if the number 18 is added to the data set?
A. 17.2
B. 40
C. 21.2
D. 26.5
find by completing the square
What is the m∠ACB? 10° 50° 90° 180°
Answer:
50°
Step-by-step explanation:
90 + 4x+ 7x - 20(+20) = 180 + 20
4x + 7x = 200 - 90
4x + 7x = 110
11x/11 = 110/11
X = 10
m∠ACB = 7x - 20 = 7(10) - 20 = 50
two more than the product of a number and 8 is 5
The unknown number is [tex]\( \frac{3}{8} \).[/tex]
Let's solve the problem step by step.
Given: Two more than the product of a number and 8 is 5.
Let's denote the unknown number as [tex]\( x \)[/tex].
According to the problem, we can express the given condition in an equation:
[tex]\[8x + 2 = 5\][/tex]
To find the value of [tex]\( x \)[/tex], we need to isolate it on one side of the equation. We'll begin by subtracting 2 from both sides to get rid of the constant term on the left side:
[tex]\[8x = 5 - 2\][/tex]
[tex]\[8x = 3\][/tex]
Now, to solve for [tex]\( x \)[/tex], we'll divide both sides of the equation by 8:
[tex]\[x = \frac{3}{8}\][/tex]
So, the solution to the equation is [tex]\( x = \frac{3}{8} \).[/tex]
Now, let's provide a brief explanation:
The equation [tex]\(8x + 2 = 5\)[/tex] is formed based on the given problem statement. By subtracting 2 from both sides and then dividing by 8, we isolate the variable [tex]\( x \)[/tex] to find its value, which is [tex]\( \frac{3}{8} \).[/tex]
Thus, the correct answer is:
[tex]\[ x = \frac{3}{8} \][/tex]
Complete question:
Two more than the product of a number and 8 is 5
There are a total of 500 students in grades 1 through 5 in an elementary school. 17% of the total number of students are in 1st grade. 19% of the total number of students are in 4th grade. The number of 3rd-grade students is 9 less than the number of 4th-grade students. The number of 2nd-grade student is 10 less than the number of 5th-grade students. How many students are in each grade.
122 students in 5th grade, 112 in second grade
Which of the following numbers is between 0.40 and 0.47?
A) 7/50
B) 19/50
C) 21/50
D) 43/50
Please help me! Show work thank you so much
Jennie says the experimental probability that a 7th grade student reads at least 100 pages per week is 16/125. What is her error and the correct experimental probability?
HERE IS THE CHART
| pages | 6th | 7th | 8th| {Grades}
| 75 pages | 24 | 18 | 22 |
| 100 pages | 22 | 32 | 24 |
| 150 pages | 30 | 53 | 25 |
Jennie incorrectly calculated the experimental probability of a 7th grader reading at least 100 pages per week. The correct calculation is the sum of 7th graders who read 100 and 150 pages, divided by the total number of 7th graders, resulting in an experimental probability of 85/103.
Jennie's error lies in calculating the experimental probability that a 7th grade student reads at least 100 pages per week incorrectly. To find the correct experimental probability, we need to add the number of 7th graders reading 100 pages and those reading 150 pages, then divide by the total number of 7th graders. According to the chart, 32 read 100 pages and 53 read 150 pages. The total number of 7th graders is the sum of students reading 75, 100, and 150 pages, which is 18 + 32 + 53 = 103. So, the correct experimental probability is (32 + 53) / 103 = 85 / 103.
A video game was $38. This weekend the game will be marked 13 percent off. How much is the game this weekend?
The video game was originally $38. This weekend it is 13% off. After applying this discount, the game will cost $33.06.
Explanation:The subject of your question lies in the realm of Mathematics, specifically focusing on a practical application: calculating a discount. In this case, the video game was originally $38 and this weekend, there is a discount of 13%. Since the discount is a percentage off of the original price, you need to multiply $38 by 13% (or 0.13, when presented as a decimal).This operation gives us: $38 * 0.13 = $4.94.This means the discount is $4.94. To find out how much the video game costs after the discount has been applied, you need to subtract this amount from the original price of the game. Therefore, the price of the game this weekend will be: $38 - $4.94 = $33.06.
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Ms. Ito's art class used 2/3 of bottle of blue paint. If they used 1/4 as much red paint as blue paint. How many bottles of red paint did they use?
Final answer:
The class used 2/3 of a bottle of blue paint and 1/4 as much red paint, which means they used 1/6 of a bottle of red paint.
Explanation:
To solve the problem presented by Ms. Ito's art class, we first need to determine the amount of blue paint used and then calculate the red paint used based on that amount. The class used 2/3 of a bottle of blue paint. Since they used 1/4 as much red paint as blue paint, we need to divide the amount of blue paint by 4 to find the amount of red paint used.
Calculation: (2/3) ÷ 4 = 2/3 ÷ 1/4 = (2×1)/(3×4) = 2/12 = 1/6
Therefore, the class used 1/6 of a bottle of red paint.
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