a hockey team scored the following number of goals in their last 5 games: 2,3,5,3,2 which is the mean absolute deviation of the number of goals?
The required mean absolute deviation of the number of goals is 0.8.
What is mean?The mean of the values is the ratio of the total sum of values to the number of values.
The mean absolute deviation of the number of goals is a measure of how far the individual scores deviate from the mean (average) score.
To find the mean (average) score:
Mean = (2 + 3 + 5 + 3 + 2) ÷ 5 = 15 ÷ 5 = 3
Next, we find the absolute deviation for each score:
Absolute deviation for score 2: |2 - 3| = 1
Absolute deviation for score 3: |3 - 3| = 0
Absolute deviation for score 5: |5 - 3| = 2
Absolute deviation for score 3: |3 - 3| = 0
Absolute deviation for score 2: |2 - 3| = 1
Mean absolute deviation is given as,
= (1 + 0 + 2 + 0 + 1) ÷ 5 = 4 ÷ 5 = 0.8
So, the mean absolute deviation of the number of goals is 0.8.
Learn more about mean here:
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The ratio of boys to girls in a group is 7:2. If there are 60 more boys than girls, work out how many girls there are.
Answer:
Step-by-step explanation:
So, kids are divided into 8 total parts.
7 - 1 = 6 more parts that are boys. The 48 extra boys are those 6 parts.
48/6 = 8 boys per part
All parts have the equal number of kids, so one part girls also has 8.
There are 8 girls (and 56 boys. 8:56 = 1:7).
Evaluate (-A) to the second powerfor A = 5, B = -4, and C = 2.
-5
0-25
025
Answer:
-4
Step-by-step explanation:
a camera listed price of $535.98 before tax. If the sales tax rate is 9.75%, find the total cost of the camera with sale tax included. Round your answer to the nearest cent, IF needed.
Answer:
The camera's final price will be $588.24.
Step-by-step explanation:
First you want to turn the percent into a decimal. 9.75%=.0975
Then, you want to multiply 535.98 by .0975.
You get $52.26 when you round to the nearest cent. The you add 52.26 to the original price and you get your answer!
Javier worked 25 hours the first week then 33 hours the second week. What is the percent increase?
Answer:
theres no percent to start off with so this question doesnt make sense unless the answer is 8
Step-by-step explanation:
Answer:
33% maybe ???
Step-by-step explanation:
Solve the equation: 3(x + 2) = 40.2 *
please help
Answer: x=11.4
Step-by-step explanation: 3(x+2)=40.2
(3)(x)+(3)(2)=40.2
3x+6=40.2
3x+6−6=40.2−6
3x=34.2
3x /3 = 34.2 /3
x=11.4
help me, please math
Answer:
i think its c
Step-by-step explanation:
¿Cómo las razones de seno y cos
eno son semejantes?
The following data points represent the length of each song Roy the Rooster sang each morning since he
changed barns.
2.2, 5.1, 5.7, 8.2, 2.2, 7.4. 4.3. 5.6
Using the data, create a histogram.
7
6
5
4
Number of mornings
3
More and
You
Answer:
Step-by-step explanation:
So put the 0-3 to the y2, 3-6 to the y4 and 6-9 to the y2
Mark tried to pour 36 ounces of tea into 3 cups. after filling the cup to the top, there were still 13.5 ounces left in his tea pot. if each cup is the same size how much is in the tea cup? HELP PLEASE!
Answer:
its 12
Step-by-step explanation:
12 oz
Answer:
22.5/3
Step-by-step explanation:
Hey, the idea is to set up an equation that you can solve
36 ounces of tea = 3 cups(some ounces of tea) + 13.5 ounces left
Now just solve for how much tea is in each cup.
36-13.5 = 3(X)
3X = 22.5
x = 22.5/3
F(x)=x^2+5x-1 is shifted 3 units left.The result is g(x). What is g(x)
Step-by-step explanation:
since its shifted to the left 3 units u decrease 3 units from the equation
x²+5x-1-3
g(x)=x²+5x-4
Eugene had $24 to spend on three pencils.
After buying them he had $18. How
much did each pencil cost?
2 dollars for each pencil
Answer:
Two dollars each
Step-by-step explanation:
Answer:
6/3 is 2. That's the total cost of each pencil.
Step-by-step explanation:
The cost of renting a boat at a lake is $35 per hour plus $5 for life jackets. Write an
• equation in slope-intercept form that can be used to calculate the total amount you would pay for
renting a boat. (assume only you need a life jacket)
Answer:
y = 35x + 5
Step-by-step explanation:
Slope-intercept form is y = mx + b
m is the slope, b is the constant, or y-intercept.
In this case, 5 is our constant. You pay a one-time fee of $5 for a life jacket. This price doesn't change nor do you have to pay it again, so this is your constant.
35 is our slope. 35 represents the $35 you pay for each hour with the boat. This is our slope because it will change overtime, based on x, or the number of hours you are renting the boat.
y is the total cost, since you have to add up $35 times the number of hours you are renting, plus the $5 for the life jacket.
Find the slope and the y-intercept of the line.
y=-1/2x+8 PLS HEEEEEEEEEEEEEELP
Answer:
slope: -1/2
y-intercept: 8
Step-by-step explanation:
y=mx+b is the linear equation
m=slope
b=y-intercept
37.
An express train travelled at a certain average speed from Town X to Town Y which was
150 km away. It then continued its journey to Town Z at an average speed 20 km/h faster than
its initial average speed. Town Ywas 200 km from Town Z. If it took the same time to travel for
both parts of the journey, what was the train's average speed for the first part of the journey?
Answer:
60 km/hr
Step-by-step explanation:
Let the speed at the initial average speed from Town X to Town Y be a.
We are told that it journeyed to Town Z at an average speed 20 km/h faster than its initial average speed. Thus, its average speed here is (a + 20) km/hr.
Town Y was 200 km from Town Z.
Thus, time spent here is;
t_2 = 200/(a + 20)
Time from X to Y is; t_1 = 150/a
We are told that it took the same time to travel for both parts of the journey.
Thus; t_1 = t_2
150/a = 200/(a + 20)
Cross multiply to get;
150(a + 20) = 200a
150a + 3000 = 200a
200a - 150a = 3000
50a = 3000
a = 3000/50
a = 60 km/hr
What is the difference between a system of equations and a system of inequalities?
(Pls help man it’s worth like 25 points im desperate because I have no brain)
Answer:
"The solution(s) of a system of linear equations give points of intersection of specific lines or planes. The solution(s) of a system of linear inequalities give areas of intersection wherein any specific pair of points or lines are solutions. PROCESS-WISE there are little differences between solving systems."
Step-by-step explanation:
www.algebra.com
с
For the diagram shown, select the angle pair that
represents each angle type.
Corresponding angles
b
1/2
5
CO
910
Altemate exterior angles
A
3
4
7
8
1112
Alternate interior angles
Vertical angles
Answer:
For the diagram shown, select the angle pair that represents each angle type.
Corresponding angles
✔ D. angle 7 and angle 3
Alternate exterior angles
✔ C. angle 12 and angle 5
Alternate interior angles
✔ D. angle 2 and angle 11
Vertical angles
✔ C. angle 7 and angle 6
Step-by-step explanation: cus I did it on Edge 2021 and these were the answer...just trust me :)
1. The cheerleading squad is selling hot dogs and cookies for a fundraiser. The cost of each hot dog is $1.50 and the cost of each cookie is $0.75. How many hot dogs and cookies can a person buy with less than $15?
Answer:
5 hot dogs and 9 cookies
Step-by-step explanation:
1.5(5)+0.75(9)<15
7.5+6.75=14.25
When buying a car, Esther can choose a 2-door or 4-door car with leather or cloth interiors in black, silver, or white. How many different combinations can be made with the car options?
Answer value
Answer: I think 12
Step-by-step explanation: all the posibilitys-
1. 2 doors
2. 4 doors
3. silver
4. black
5. white
6. cloth
7. leather
Nicholas bought 24feet of fabric at afabric store. The fabric cost $1.35 per foot, including sales tax. If Nicholaspaid with a $50bill, how much change should he have received?
Answer:
24x1.35=32.4
He should have recieved $32.40 in change.
Lmk this answer ASAP please
Answer:
angles on a line add up to 180 degrees
180 - 40 = 140
180 degrees in a triangle. going to work out the base angles for the isosceles triangle as its top angle is 140 degrees.
180 - 140 = 40
base angles are equal so 40/2 = 20 degrees
X = 20 degrees
90 degrees angle has been indicated.
90-20 = 70
180 - 70 - 40 = 70
y = 70 degrees
1. 5(2x + 1) = 35
I need help what’s the answer showed work
Answer:
x=3
Step-by-step explanation:
5(2x+1)=35
Step 1: Simplify both sides of the equation.
5(2x+1)=35
(5)(2x)+(5)(1)=35(Distribute)
10x+5=35
Step 2: Subtract 5 from both sides.
10x+5−5=35−5
10x=30
Step 3: Divide both sides by 10.
x=3
(-10,-7) (-8,1) find the distance between the two points show work.
Answer:
8.25
Step-by-step explanation:
(-10,-7) (-8,1) find the distance between the two points show work.
The formula for calculating the distance between the two points is expresses as;
D = √(x2-x1)²+(y2-y1)²
D = √(-8+10)²+(1+7)²
D = √(2)²+8²
D = √4+64
D = √68
D = 8.25
Hence the distance between the two points is 8.25
1. Simplify -3(2x+4)-2
6х+12
-5x-9
-6х-14
-X-2
Answer:
-6x-14 is the answer. Thx.
Step-by-step explanation:
-3(2x+4)-2
6x-4-2
6x-6
Your mother gave you $13.32 with which to buy s present. This covered 3/5 of the cost. How much did the present cost?
Answer:
The cost of the present is $22.20
Step-by-step explanation:
Find the slope of the line that goes through the points (2,5) and (3,-2)
Answer:
the slope is -7
Step-by-step explanation:
[tex]\frac{-2-5}{3-2} =\frac{-7}{1}[/tex]
What is the ratio of the calories Robyn
burned on Wednesday to the calories she
burned on Monday?
A. 4:3
B. 3:2
C. 5:3
D. 5:4
Answer:
Step-by-step explanation:
7
What is the greatest common factor of 3 and 6?
3
6
18
36
Answer:
36
Step-by-step explanation:
the greatest common factor is 36 because
3 times 12 is 36
6 times 6 is 36
pls mark be brainliest!!
Answer:
[tex] \huge{ \boxed{ \bold{ \sf{3}}}}[/tex]
[tex] \sf{Step - by - step \: explanation}[/tex] :
[tex] \sf{Factors \: of \: 3 = \: 1 \: \times 3}[/tex]
[tex] \sf{Factors \: of \: 6 = 1 \times 2 \times 3 }[/tex]
G.C.F = Common prime factors = 1 × 3 = 3
Hence , the Greatest Common Factor ( GCF ) of 3 and 6 is 3 .
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✑ Explore more !!
GCF is also called Highest Common Factor ( HCF ) and the Greatest Common divisor ( GCD ) . The GCF of any numbers can be obtained by using two methods. They are :
1. Prime Factorization method
The steps for finding GCF by this method are :
First of all , find the prime factor of each numbers.Take out the common prime factors of given numbers.Multiply those all common prime factors and the number which is obtained is GCF. If there is no any common prime factor existing , then 1 is considered as GCF of those numbers.2. Division method
The steps for finding GCF by this method are :
Divide the larger number by smaller one.In case of remaining remainder , divide the first divisor by that remainder.Again if remainder leaves , divide the second divisor by the remainder.Repeat the process until the remainder becomes the zero. So , that the last divisor is the GCF.Hope I helped ! ♡
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a lil help? I'm kinda struggling.
Answer:
5.08 cm would be 2 in and 10 in would be 25.4 cm
Is 14/9 greater than 2
Answer:
No
Step-by-step explanation:
14/9ths is not greater than two because 9 two times is greater than fourteen.
Answer:
No
Step-by-step explanation:
Because, 14/9 is equal to 1.555.... and 1.555.... is less than 2.
Hope I helped!!
Sorry if its wrong! :(
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