Answers
Answers:
1a) y=-10/3x+90
1b) 20
1c) -18
2a) 2.8
2b) How much the heights of five basketball players vary from the average height.
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Explanations:
1a) The trend line is linear, so we just need to find the slope and y-intercept to find an equation for it. Our y-intercept is (0,90), or 90, and our slope is -10/3. Our equation is now y=-10/3x+90.
1b) To find when x=21, we plug 21 into our equation where the x is. Now we do the math.
y=-10/3(21)+90 (plug in)
y=-70+90 (simplify by multiplying -10/3 by 21)
y=20 (simplify by adding -70 to 90)
Therefore, we can predict that when x is 21, y is 20.
1c) To find when y=150, we plug 150 into our equation where the y is. Now we do some more math.
150=-10/3x+90 (plug in)
60=-10/3x (subtract 90 from both sides
-18=x (divide both sides by -10/3)
Therefore, we can predict that when y is 150, x is -18.
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2a) The mean absolute deviation (or MAD for short) of a data set is calculated as such:
Step 1) Find the mean (average) by finding the sum of the data values, then dividing the sum of the data values by the number of data values. In this case, we have the numbers 65, 58, 64, 61, and 67, which add up to 315. The data set has 5 numbers, so we divide our sum of 315 by 5 to get 63. Therefore, our mean is 63.
Step 2) Find the absolute value of the distance between each data value and the mean. In this case, we find out how far away each data value is from 63, our mean. To do this, we subtract 63 from each number.
65-63=2
58-63=-5
64-63=1
61-63=-2
67-63=4
Some of these values are negative, but we're using absolute value so they all become positive. We now have a new set of values: 2, 5, 1, 2, and 4.
Step 3) Finally, we calculate the mean of our new set of values. In this case, we will add up 2, 5, 1, 2, and 4 to get 14 and divide by 5 to get our MAD of 2.8. Therefore, the MAD (and the answer to problem 2a) is 2.8.
2b) Now we just find out what the MAD means in this context. The MAD always is a measure of variance in a data set. In this context, it's describing how much the heights (in inches) of five people on a basketball team vary from the average height.
Hope this helps!
Related Questions
Mrs. Thomas has two rolls of garden edging that are each 96 inches long.
She wants to make two new flower beds in her back yard. Each flower bed
will be bordered by one roll of the edging. One flower bed will be in the
shape of a quadrilateral. The other will be in the shape of a triangle.
Please answer all parts. I will give brainliest for correct answer!
Answers
Answer:
A) The total length of each edging in her scale drawing would be 19.2 centimeters.
B) Square or rectangle
C) angle α= 53.13 degrees
angle β= 36.87 degrees
height= 32 inches
base= 24 inches
hypotenuse 40 inches.
Step-by-step explanation:
Part A:
If the roll edging is 96 inches long and the scale chosen is
5inches = 1 cm
96inches /5= 19.2cm
The total length of each edging in her scale drawing would be 19.2 centimeters.
Part B:
The quadrilaterals such rectangle square right trapezoid have a pair of 90 degrees angles.
If we choose a square shape then all sides must be equal. And we have a length of 19.2 centimeters.
Dividing 19.2 by 4 gives 4.8 cm for each side.
Figure A shows a square and has 4 sides equal and 4 right angles.
If we choose a rectangle shape then 2 sides must be equal. We have a length of 19.2 centimeters.
Suppose the length is 2 times more than the width
which will give the dimensions as
2*2 x+ 2x= 6x ( length and width denoted by x)
Dividing 19.2 by 6 gives 3.2 cm for each width and 6.4 for the lengths.
Figure B shows a rectangle and has 2 sides equal and 4 right angles.
It depends on which quadrilateral you wish to choose.
Part C:
Using Pythagorus theorem if the base and altitude are given then the hypotenuse can be found out using the following formula.
c²= a² +b²
c²= 6.4² +4.8²
c²= 40.96+23.04= 64
c= √64 = 8
The third side must be equal to 8 centimeters.
Using the formula
Cos α= base / hypotenuse
Cos α=4.8/8
α= Cos (inverse) 4.8/8
α= Cos (inverse) 0.6
α= 53.13 degrees
So angle α= 53.13 degrees
All the angles in the triangle must be 180 degrees.
α + β + 90°= 180°
And angle β= 180-90-53.13= 36.869= 36.87 degrees
The actual dimensions of this triangle are
height= a= 6.4* 5= 32 inches
base= b= 4.8*5= 24 inches
hypotenuse= 8*5= 40 inches.
Someone help me out with this need a quick respond
Answers
so 2x 3.1416 x 2= 12.56
so the third one counting from left to right
9 tickets to a theme park cost £243, how much would 7 tickets cost
Answers
Answer:
£189
Step-by-step explanation:
Divide the cost by 9 to find the cost of 1 ticket, then multiply this by 7
cost of 1 ticket = £243 ÷ 9 = £27
cost of 7 tickets = 7 × £27 = £189
For you guys not for me- The orca weighs 4 tons. How many pounds is that
Answers
Answer:
8,000 pounds
Step-by-step explanation:
1 US ton = 2,000 pounds
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8000 pounds.1 ton is 2000 pounds
4 tons = 8000 pounds
Thanks Hope it helps.HELLLPPPPPPPPP PLEASEEEEEEE PLEASEEEE SOMEONE HELPPPPP
Answers
A) x = 15
steps:
90 = 5x + 15
-15 -15
75 = 5x
÷5 ÷5
15 = x
explanation:
< P is 90°
so you have the equation of < P equal 90 to find the x
B) < RQP = 33
steps:
2x + 3
2(15) + 3
30 + 3
33
explanation:
now that you know what x equals you just plug in 15 for the x and solve
WORTH 30!!!
Find the value of tan theta, if cos theta= 4/5; 0< theta < 90
Answers
Answer:
I'm almost positive that A and D are wrong but please don't kill me if I'm wrong
Step-by-step explanation:
An ice cream shop offers 6 different flavors of ice cream and 11
different toppings. How many choices are possible for a single
serving of ice cream with one topping?
Answers
Answer:
66
Step-by-step explanation:
Since these two events are independent, multiply the two probabilities together:
6*11 = 66 (choices)
Easy math please help!!
James is making orange juice from concentrated frozen orange juice that he must mix with water. The concentrated juice is in 12 fluid ounce cartons. The ratio of orange juice concentrate to water is 12 fluid ounces to 36 fluid ounces. If James needs 4.5 gallons of orange juice, which is 576 fluid ounces, how many cartons of concentrated orange juice does he need? (Your answer should just be a number.)
Answers
Answer:
48
Step-by-step explanation:
1 Pound = 16 ounces
2 Pounds 6 Ounces = blank ounces
Answers
[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]
38 ounces.Thanks.Hope it helps.Answer:
32 ounces........
..
Step-by-step explanation:
.................Select the letter of the correct answer. A museum in South Africa uses paintings of right-angled triangles to teach children about the Pythagorean Theorem: A squared + B squared = C squared Let's say that A = 4 and B = 3. Based on the theorem, what is the value of C squared? Choose the correct expression. A 42+
32 B (4 x 3)2 C (4 + 3)2 D 4 + 3
Answers
Find the area of the trapezoid
Answers
Answer:
45
Step-by-step explanation:
Regina owns a book store. She sold 87, 94, 91, and 84 books on the first 4 days of this week. Regina wants to have a mean of 90 books sold after 5 days NEED IT FAST
Answers
Answer:
If Regina wants a mean of 90, she needs to sell 94 books on the 5th day.
Someone help me out on this one please
Answers
Answer:
Angle GHM and Angle LKJ
Step-by-step explanation:
They are both marked the same with one line.
Which is the greatest common factor of
48 and 72?
A, 8
B, 12
C, 24
D, 48
Answers
Answer:
24
Step-by-step explanation:
Because we have to look at the GREATEST common factor.
8 and 12 are factors but they are not the greatest.
24 is the greatest common factor they both share.
Please answer this math question for me
Answers
Answer:
Hello! answer: e = 103 f = 77
and I don't really know what d is sorry! but If I had to guess id say 90
You have a job interview that is 330 miles away. If your average driving speed is 55 miles per hour, how long will it take you to get there? Show your work. Check your answer.
Answers
Explanation: You divide 330 miles by 55 mph.
Is 3 a solution to 3x + 5 = 5x + 6 - 2
Answers
Answer:
no
Step-by-step explanation:
it's X= 0.5
group like terms
3x - 5x = 6 - 2 - 5
simplify the equation
-2x = -1
divide through by the coefficient of X
x = 0.5
Find the equation of the line
That is perpendicular to y=-2x+1 and contains the point (8,2)
Answers
Answer:
y=.5x-2
Step-by-step explanation:
If one line is perpendicular to another that means that their slopes are negative reciprocals
which means that the slope (or m in y=mx+b) is .5
so far we have
y=.5x+b
to solve for b we plug in (8,2)
2=.5(8)+b
2=4+b
-2=b
therefore our equation is
y=.5x-2
Answer:
hope it helps
stay safe healthy and happy.
A zip line starts on a platform that is 40 meters above the ground. The anchor for the zip line is 198 horizontal meters from the base of the platform. How long is the zip line? help grifjin
Answers
Answer:
Solution given:
perpendicular distance =height [p]=40m
base or horizontal distance [b]=198m
Hypotenuse or zip line [h]=?
Now
By using Pythagoras law
h²=p²+b²
h²=40²+198²
h=√40804
h=202m
So the Zip line is 202m long.
A storm blew over a billboard 27 feet so that it is leaning against a pole 21 feet. How far from the base of the pole is the base of the billboard?
Answers
the base is 6ft of the billboard
Which expression is equivalent to 3x - (2x + 4) + 5?
x+1
x + 9
5x + 9
5x + 1
Answers
Answer:
x + 1
Step-by-step explanation:
3x - (2x + 4) + 5
3x - 2x - 4 + 5
x - 4 + 5
x + 1
PleaseeEEEE helpp!!!
45 POINTS
Answers
Answer:1.85+x=5.30
Step-by-step explanation: ez
Answer:
1.85 + x = 5.30
Step-by-step explanation:
It started of at 1.85 meters
After awhile it has reached a height of 5.30
If x represents the meters the tree has grown then x + 1.85 will equal 5.30 as the tree started off at 1.85 meters and reached a height of 5.30
A clothing store advertises that its prices are only 10% above cost. What is the store's profit on a coat that is advertised for $160?
Answers
Explanation: 10% of $160 is $16
Someone help me ASAP please and thank you
Answers
A.
Step-by-step explanation:
It's exactly what's asked for.
Simplify: 8 + 14 – 5 - 7 + 3 - 7 - 4
Answers
Answer:
2
Step-by-step explanation:
Answer:
[tex]2[/tex]
Step-by-step explanation:
[tex]8+14-5-7+3-7-4[/tex]
We'll Follow the PEMDAS order of operations:-
Add and subtract:-
8+14=22
[tex]22-5-7+3-7-4[/tex]
22-5=17
[tex]17-7+3-7-4[/tex]
17-7=10
[tex]10+3-7-4[/tex]
10+3=13
[tex]13-7-4[/tex]
13-7=6
[tex]6-4[/tex]
[tex]2[/tex]
OAmalOHopeO
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Answers
Answer:
C
Step-by-step explanation:
Sine equals opposite over hypotenuse, which would be y/19. To find y multiply by 19 to get y=19sin33°
The values given are 19 (hypotenuse), y (adjacent side), and the angle (33°)
The formula for cosine is adjacent side divided by the hypotenuse
After plugging in the values given into the formula cosx=ad/h, we have:
Cos33°=y/19 Here, we need to isolate the Y
And, the final result is
19Cos33°= Y
So, the correct answer is the letter D
1. 10x +14 y+8 37 27 +3 4y-19 X+77.
Answers
Answer:
Step-by-step explanation:
In the diagram, the measures of 23 and 27 are 45°. The measure of Z5 is 135º. Are lines cand d parallel? e 1. 2 3 d 6 5 7 8
Answers
HELP! THIS IS DUE TODAY, and i will mark brainlest!
Answers
Answer: The first one:
The graph is a function because each input has exactly one output.
Please mark brainliest. Hope this helps.
i need an answer...............................
Answers
Answer:
8 i think
Step-by-step explanation: