Please help!
2. A football coach recorded his team’s game scores over a football season. The scores are 21, 45, 21, 14, 21, 28, 24, 14, 24, 28.
(a) Find the mean absolute deviation of the data. Round to the nearest tenth.
(b) Interpret the mean absolute deviation of the data within the context of the problem.
(c) Explain how removing the outlier, 45, affects the mean absolute deviation.
4. Two random samples are shown from two different populations. Sample 1 represents the monthly cost of living for a single person. Sample 2 represents the monthly cost of living for a married couple with one child.
Sample 1: {$1800, $2000, $2200, $2300, $2500, $3000}
Sample 2: {$5400, $5500, $5600, $5600, $5800, $6000}
(a) Calculate the mean and the median of each population.
(b) Draw a conclusion about the populations based on the measures of center.
Answer:
2a. 5.8
2b. On average, a score will be 5.8 points away from the average score.
2c. The score will be about 2 points nearer to the average.
4a1. Sample 1 Mean: $2300; Sample 1 Median: $2250.
4a2. Sample 2 Mean: $5650; Sample 2 Median: $5600.
4b. The monthly cost of living is more expensive for a married couple w/ 1 child than for a single person.
Step-by-step explanation:
2a./2b.
In order to find the mean absolute deviation, we need to first find the mean.
(21 + 45 + 21 + 14 + 21 + 28 + 24 + 14 + 24 + 28)/10
(66 + 35 + 49 + 38 + 52)/10
(101 + 87 + 52)/10
(101 + 139)/10
240/10
The mean of this set is 24.
Now for the deviation.
21 - 24 = -345 - 24 = 2114 - 24 = -1028 - 24 = 424 - 24 = 0For the mean absolute deviation, divide the combined value of the 10 deviation values from before (in absolute value) by 10.
(|-3| + 21 + |-3| + |-10| + |-3| + 4 + |-10| + 4)/10
(3 + 25 + 3 + 10 + 3 + 10 + 4)/10
(28 + 13 + 13 + 4)/10
(41 + 17)/10
58/10
The mean absolute deviation is 5.8. That interpreted would be like this: A score, on average, is 5.8 points away from the average score.
2c.
What I'll do here is the following: subtract 45 from 240, and then subtract 21 from the mean deviations. In both cases, I will now divide by 9.
(240 - 45)/9
195/9
65/3
The mean of the set (without 45) is now 21 2/3.
(58 - 21)/9
37/9
The new mean absolute deviation is 4 1/9, which rounds to 4.1. That's 1.7 points nearer to the average than originally.
So, without 45 as one of the scores, the M.A.D. decreases by about 2. That interpreted would be like this: The scores are about 2 points nearer to the average than before.
4a./4b.
First, I'll find the mean for sample one.
(1800 + 2000 + 2200 + 2300 + 2500 + 3000)/6
(3800 + 4500 + 5500)/6
(8300 + 5500)/6
13800/6
The mean for sample one is $2,300/month.
Now for the median for sample one. Since there are 6 values, add the two middle values and divide by 2.
(2200 + 2300)/2
4500/2
The median for sample one is $2,250/month.
Now for the mean & median for sample two.
Mean:
(5400 + 5500 + 5600 + 5600 + 5800 + 6000)/6
(10900 + 11200 + 11800)/6
(22100 + 11800)/6
33900/6
The mean for sample two is $5,650/month.
Median:
Again, there are 6 values. However, this time they are the same, so there is no need to divide. The median for sample two is $5,600/month.
Looking at the data, the mean & median for sample was larger than sample one. Thus, I can conclude the following: The monthly cost of living is more expensive for a married couple w/ 1 child than for a single person.
which symbol will make the number sentence |-12|?12 true
A =
B with a line going through it
C<
d>
Answer:
A
Step-by-step explanation:
|-12| = 12
distance from 0 to -12 is 12
and 12 = 12
PLEASE HELP!!!!!!A set of data includes 98 data points ranging from 0 – 160. If the data is split into classes with a range of 10 (1 – 10, 11 – 20, etc), and there are no values that fall in the class 81 – 90, what can you say about the data?
1 The mean of the data will not be between 81 – 90.
2 All the data lies below 80.
3 The relative frequency of the class 81 – 90 is 0.
4 The median could be in the range 81 – 90.
If a car is moving 50 mi/hr and travels 30 miles, how long did the journey take?
Answer:
36 minutes
Step-by-step explanation:
1 hour = 60 minutes
\(\frac{50}{60} = \frac{30}{m}\)
50m = 1800
m = 36 minutes
The Journey will take 6 hours.
What is speed distance formula?Speed = Distance/Time Distance = Speed X TimeTime = Distance / Speed.Given:
speed = 5 mph
Distance = 30 miles
So, speed = Distance / time
5 = 30 / time
time = 30/5
time = 6 hour.
Hence, the journey take 6 hour.
Learn more about speed- distance here:
https://brainly.com/question/10566304
#SPJ2
Manuela spins a spinner with four equal sections, labeled A, B, C, and D, twice. If letter B is spun at least once, she wins. Otherwise, Gabriela wins. Which shows the winning sample space for Manuela?
Answer:
B
Step-by-step explanation:
is b because its that and I did the assiment
Prism A is a dilation of Prism B. The height of Prism A is 6 1/2 ft, and the volume of Prism A is 87 3/4 ft³. The height of Prism B is 3 1/4 ft.
What is the volume of Prism B?
PLSSSS HELP MARKING BRAINLIST question below
Hey There!!
Simplify the following:
2 (-20)+3 (5/4 (-20))+5×2/5×50+4×50
5/4 (-20) = (5 (-20))/4:
2 (-20)+3×(5 (-20))/4+5×2/5×50+4×50
2/5×50 = (2×50)/5:
2 (-20)+3×(5 (-20))/4+5×(2×50)/5+4×50
3×(5 (-20))/4 = (5 (-20) 3)/4:
2 (-20)+(5 (-20) 3)/4+5×(2×50)/5+4×50
5×(2×50)/5 = (2×50×5)/5:
2 (-20)+(5 (-20) 3)/4+(2×50×5)/5+4×50
(-20)/4 = (4 (-5))/4 = -5:
2 (-20)+5×-5×3+(2×50×5)/5+4×50
(2×50×5)/5 = 5/5×2×50 = 2×50:
2 (-20)+5 (-5) 3+2×50+4×50
2 (-20) = -40:
-40+5 (-5) 3+2×50+4×50
5 (-5) = -25:
-40+-25×3+2×50+4×50
-25×3 = -75:
-40+-75+2×50+4×50
2×50 = 100:
-40-75+100+4×50
4×50 = 200:
-40-75+100+200
-40-75+100+200 = (100+200)-(40+75):
(100+200)-(40+75)
300-(40+75)
300-115
Answer: | 185
Hope It Helps!
\(ItsNobody^{\)\(ItsNobody\)
HELP??!??! QUICK PLS!!
FIND THE ERROR
someone explain this?
\(5\sqrt{96}\).
I converted it into decimal form with a calculator and got approximately 48.9898
And if you round that, you will get the 49, which fits the inequality of
45< \(5\sqrt{96}\) < 50 since it becomes 45 < 49 < 50 which is true
Help me thank you so much if you do help me :D
Answer: 706.001
Step-by-step explanation:
Most logical way is if you re-arrange. If u re-arrange, you will get seven hundred and six one-thousandths. From here it's easy. seven hundred six is 706. one-thousandths is 0.001. If you add 706 and 0.001, you will get 706.001
If you take a certain number and write a 9 to the right of it and add the doubled certain number to the result, the sum will be equal to 633. Find the certain number.
Hello,
let's say x is a certain number
10*x+9+2x=633
12x=624
x=52
Proof:
529+104=633
help me its due today :')
Answer:
9 feet easy to solve this is answer
Which similarity statements describe the relationship between the two triangles? Check all that apply.
Triangle C B A is similar to triangle F E D
Triangle C B A is similar to triangle F D E
Triangle B A C is similar to triangle E F D
Triangle B A C is similar to triangle E D F
Triangle A B C is similar to triangle D E F
Triangle A B C is similar to triangle D F E
Answer:
ABC is similar to DEF
ABC is similar to DFE
Step-by-step explanation:
Answer:
The last 2
Step-by-step explanation:
Got it right on Edge
Have a good day.
plzzzzz answer this!!!!♥️♥️
Answer:
5.83 units
Step-by-step explanation:
3² + 5² = RS²
RS² = 34
RS = √34
RS = 5.83095189
Please mark my answer as brainliest <3
Answer:
the length of RS is about 6 (5.8)
PLEASE HELP SOON! Please answer the question and explain step by step how you got your answer. Julian is using a biking app that compares his position to a simulated biker traveling Julian's target speed. When Julian is behind the simulated biker, he has a negative position. Julian sets the simulated biker to a speed of 20 km/h. After he rides his bike for 15 minutes, Julian's app reports a position of -2 1/4 km.
What has Julian's average speed been so far?
Answer:
11 km/h
Step-by-step explanation:
What I did is found out how fast the simulated biker traveled for 15 minutes, by doing
\(\frac{20}{4}\) = 5
Since 15 minutes is 1/4 of an hour. Or you could do 20/60 = 1/3, 1/3 being how much the biker traveled in a minute and multiply that by 15
15×\(\frac{1}{3}\) = 5
Now we know that the biker traveled 5 km, now subtract 5 by \(2 \frac {1}{4}\)
5 - \(2 \frac {1}{4}\) = \(2 \frac {3}{4}\)
Julian traveled \(2 \frac {3}{4}\) in 15 minutes, now to find his average speed you multiply \(2 \frac {3}{4}\) by 4 since \(2 \frac {3}{4}\) is the distance traveled in 1/4 an hour.
\(2 \frac {3}{4}\) × 4 = 11
11 km/h
Move each inequality next to the number line it represents.
Number Line
Inequality
Help me please I'm kinda confused.
Answer:
b 4x=20
4(5)=20
20=20
Step-by-step explanation:
20/4=5
The probability of rolling a number less than 3 on a number cube is 2/6. What is the probability of its complement? Simplify your answer.
Answer:
4/6
as we know probability of rolling a number less than 3 on a number cube is 2/6 and then its complement (opposite, greater than 3) that is 4/6
A coach calculated the mean and the mode of the number of points scored by 6 players.
• mean: 7 points
mode: 8 points
How many points did player 5 score?
Simplify
6x^3+5y^2-2z-4x^3-6y^2+5z+y
The Answer:
\(2x^3-y^2+3z+y\)
Step-by-step explanation:
The picture below shows the step-by-step process.
hope this helped!
the ratio of the number of oranges to apples to bananas is 8:5:2. if there are 120 fruits in total, how many bananas are there
Answer:
Step-by-step explanation:
To find the number of bananas, we need to determine the proportion of bananas in the total number of fruits based on the given ratio.
Let's assume that the ratio of oranges, apples, and bananas can be represented by 8x, 5x, and 2x, respectively, where x is a common multiplier.
The sum of the parts in the ratio is 8x + 5x + 2x = 15x.
We know that the total number of fruits is 120. Therefore, we can set up the following equation:
15x = 120
To solve for x, we divide both sides of the equation by 15:
x = 120 / 15
x = 8
Now that we know the value of x, we can find the number of bananas by multiplying it by the corresponding part of the ratio:
Number of bananas = 2x = 2 * 8 = 16
So, there are 16 bananas in total.
We can add all the parts to the ratio and get 15. Out of 15 parts, 2 are bananas. Now we can calculate how many fruits are in one part. One fifteenth of 120 is 8, so there are 8 fruits in one part. 2 parts are bananas, so multiplying 8 with 2 gives us our answer, 16.
mean of 8 5 7 5 9 3 5
Which models represent the sum?
1.1 + 0.6
Select each correct answer.
Simplify the following expression
x^5/x^-2=x^n
A. 8
B. 2
C. 7
D. 10
Answer:
7
Step-by-step explanation:
x^5/x^-2=x^n
x^5=x^n×x^-2
x^5=x^-2+n
5=-2=n
n=7
this is 100% correct
plzz mark me brainliest
help me, please ........
Answer:
Step-by-step explanation:
Answer: D
Step-by-step explanation:
REFERENCE:
- An Integer is simply a whole number.
- Here, you have square roots. "Perfect squares" are square roots in which the square root of the number is an integer , or whole number.
__________
The perfect squares up to 100 are:
√1= 1 ( 1x1=1)
√4= 2 (2x2=4) and so on
√9= 3
√16= 4
√25= 5
√36= 6
√49= 7
√64= 8
√81= 9
√100= 10
____________
Now let's look at the answer choices:
A. √3. This is not an integer because the square root of 3 is a long decimal, 1.73205081. That's not a whole number.√3 is not in the list of perfect squares
B. √6. Not an integer. the square root of 6 is 2.44948974278. √6 is not listed in the perfect squares
C. √15 is 3.87298334621, which is not an integer. Not listed in the perfect squares.
D. √36 IS an integer. The square root of 36 is 6, which is a whole number. √36 is also listed in the perfect squares list. I know the square root of 36 is 6 because 6x6=36.
Answer= D
Hope this helps!!
hey, guys id prefer it if someone could walk me through this step by step thx! Write an expression that is equivalent to the expression below. 3.5(2.4x+8.6y)-2.9(5x-6.5y)-(3.1x+7y)
Answer:
Step-by-step explanation: ok so first you need to circle all your variables x.
which are 2.4x+5x+3.1x adding those you get 10.5.
then circle your variables y which is 8.6y+6.5y+7y you get 22.1 then subtract those you get -11.6
hope this helps
PLZ BRAINLIEST PLZ
Answer:
Pls need points
Step-by-step explanation:X=25472.384
Please help!! (I added a screenshot)
i am postitive its 40
the table shows the possible outcomes of spinning the given spinner twice. Find the probability of the spinner landing on 1 at least once.
The probability is?
LOOK AT THE PICTURE AND PLEASE HELP!!
Answer: The probability or percentage of the spinner landing on 1 once is 36% or 9 out of 25.
Step-by-step explanation:
I just need answers please!!
Answer:
11. -12
12. 11
13. -14
14. 10
Step-by-step explanation:
Answer:
11. -28
13. -3/11
12. -17
14. -6
Step-by-step explanation:
Molly has 1 1/2 cups of sugar. She used 3/4 cup of sugar. She wants to model a subtraction problem on a number line to find how much sugar she has left. Molly’s first step is shown below.
What should Molly do next, and how much sugar does she have left?
A. Move 1 1/2 units to the right. She has 1 3/4 cups of sugar left.
B. Move 3/4 unit to the left. She has 3/4 cup of sugar left.
C. Move 1 1/2 units to the left. She has 3/4 cup of sugar left.
D. Move 3/4 unit to the right. She has 2 1/4 cups of sugar left.
Answer:
it's B because 1 1/2 not simplified is 3/2, and 3/2 not simplified is 6/4. Since she wants to use 3/4 of sugar, then you need to do 6/4-3/4 which equals 3/4, the amount of sugar Molly had left.