Answer:
[tex]M.A.D = 18.9[/tex]
Step-by-step explanation:
Given: 22,26,28,35,45,63,91
Required: Mean Absolute Deviation
The first step is to solve for the mean of the given data
[tex]Mean = \frac{\sum x}{n}[/tex]
where x->22,26,28,35,45,63,91 and n = 7
[tex]Mean = \frac{22+26+28+35+45+63+91}{7}\\Mean = \frac{310}{7}\\Mean = 44.29[/tex]
Then; subtract the calculated mean from each data
[tex]22 - 44.29 = -22.29\\26 - 44.29 = -18.29\\28 - 44.29 = -16.29\\35 - 44.29 = -9.29\\45 - 44.29 = 0.71\\63 - 44.29 = 18.71\\91 - 44.29 = 46.71[/tex]
Get Absolute Values of the above results
[tex]|-22.29| = 22.29\\|-18.29| = 18.29 \\|-16.29| = 16.29\\|-9.29| = 9.29\\|0.71| = 0.71\\|18.71| = 18.71\\|46.71|= 46.71[/tex]
Calculate the mean of the above result to get the M.A.D
[tex]Mean = \frac{\sum x}{n}[/tex]
[tex]M.A.D = \frac{22.29+18.29+16.29+9.29+0.71+18.71+46.71}{7}\\M.A.D = \frac{132.29}{7}\\M.A.D = 18.8985714286\\M.A.D = 18.9[/tex]
What is 30% of 550cm3
Answer:
165cm³
Step-by-step explanation:
30% of 550cm³=30/100 *550cm³=3*55cm³=165cm³
Dogs in the GoodDog Obedience School win a blue ribbon for learning how to sit, a green ribbon for learning how to roll over, and a white ribbon for learning how to stay. There are 100 dogs in the school.
62 have blue ribbons, 55 have green ribbons, and 63 have white ribbons.
32 have a blue ribbon and a green ribbon 31 have a green ribbon and a white ribbon; 38 have a blue ribbon and a white ribbon.
16 have all three ribbons.
How many dogs have not learned any tricks?
Answer:
5
Step-by-step explanation:
The 32 that have blue and green ribbons include the 16 that have all three, so there are only 32 -16 = 16 that have only blue and green ribbons.
The 31 that have green and white ribbons likewise include the 16 with all three, so there are only 31 -16 = 15 that have only green and white ribbons.
The 38 that have blue and white ribbons include the 16 with all three, so there are only 38 -16 = 22 that have only green and white ribbons.
__
If we add the numbers of blue, green, and white ribbons, we are counting twice the numbers that have 2 ribbons, and 3 times the numbers that have 3 ribbons. We want to count each kind of ribbon-holder only once. Hence the number of individual dogs with any number of ribbons is only ...
62 +55 +63 -(16 +15 +22) -2(16) = 95
Of the 100 dogs, 95 have ribbons, so 5 dogs have not learned any tricks.
Find the height of the tree. Show steps
Answer:
Step-by-step explanation:
I don't say u have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me...
The ordered pair below is a solution to which equation?
(4,12)
Answer:
C.
Step-by-step explanation:
x= 4, y = 12
A . y = 6x
12 = 6*4
12 = 24 false
C. y = 3x
12 = 3*4
12 = 12 true
-3s + 5 = s + 13
In a linear equation
Look at Attachment, giving a lot of points for the answer to questions.
Answer:
see below
Step-by-step explanation:
1.
m = (y2-y1)/(x2-x1)
= (90-80)/(0-1)
= 10/-1
=-10
The slope is -10 ft/s
This means the height decreases 10 ft for every second that passes
This is not proportional because it has to go through the point (0,0)
4.
m = (y2-y1)/(x2-x1)
= (1000-0)/(3-0)
= 1000/3
=1000/3
The slope is $1000/3
This means the 1000 dollars is sold every 3 days
This is proportional because it goes through the point (0,0) and has a constant slope
Step-by-step explanation:
Let 'm' be slope
HAWK DIVING TOWARDS PREY:
m = (y2 - y1) / (x2 - x1)
= (90 - 80) / (0 - 1)
= 10 /- 1
= - 10
This is not proportional because it doesn't to go through the point (0, 0)
BOOK SALES:
m = (y2 - y1) / (x2 - x1)
= (1000 - 0) / (3 - 0)
= 1000/3
This is proportional because it goes through the point (0, 0)
Hope this helps!
Plz help asap
A bag of potatoes weights 30 lb. If 74% of a potato is water, how many pounds of water are there in the bag?
Answer:
22.2 pounds of water are in the baag
Step-by-step explanation:
1 * 0.74 = .74
.74 * 30 = 22.2
Choose the simplified form of the fifth term of the expansion. -60x2y8 -30x2y8 30x2y8 60x2y8
Answer:
D
Step-by-step explanation:
i just did it
Answer: D
Step-by-step explanation:
What is the slope of the line passing through the following points:
(1,3) & (5,0)
Answer:
-3/4
Step-by-step explanation:
We can find the slope by using
m = (y2-y1)/(x2-x1)
= (0-3)/(5-1)
= -3 / 4
Answer:
Step-by-step explanation:
[tex]slope=\frac{y_{2}-y_{1}}{y_{2}-y_{1}}\\\\=\frac{0-3}{5-1}\\\\=\frac{-3}{4}[/tex]
Please answer this very simple attachment Correctly!!! Down below.
Answer:
3.47, or B
Step-by-step explanation:
I'm weird so I did it a weird way and subtracted the total amount the book costed from the amount she has left and thats how we got how much more she needs.
8.35 - 4.88 =3.47
What would happen if someone sarhpled a basketball team to find the
average height of a school's student body?
Answer:
Basketball players are normally taller so it would not be accurate
Answer: It wouldn't be valid or reliable because the basketball team is not indicitive of the entire student body. Additionally, sampling just the basketball team is not random nor is it likely a large enough sample size (unless it is a tiny school).
Step-by-step explanation:
Anybody know how to do this?
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment
What's the 10th term of a sequence with an explicit rule of f(n) = 5 + 2(n – 1)?
A. f(10) = 23
B. f(10) = –5
C. f(10) = 13
D. f(10) = 20
Answer:
A
Step-by-step explanation:
Substitute n = 10 into the explicit formula , that is
f(10) = 5 + 2(10 - 1) = 5 + (2 × 9) = 5 + 18 = 23 → A
Which absolute value function when graphed will be narrow than the graph of the parents function f(x)=|x|
Answer:
f(x) = 4|x|
Step-by-step explanation:
Answer:
The answer is f(x) = 2.9|x| and f(x) = 1.2|x + 8|
Equation 1: -4x + y = 6
Equation 2: -5x - y = 21
Which variable is easiest to solve for?
A.The easiest to solve for is x in the first equation.
B.The easiest to solve for is y in the first equation.
C.The easiest to solve for is x in the second equation.
D.The easiest to solve for is y in the second equation.
Answer:
BStep-by-step explanation:
y in equation 1, since you just
-4x + y = 6
add 4x to both sides to get
y = 4x + 6
while for the rest of the variables in both equations, you need at least two steps
Thus, the answer is B
Answer:
B. The easiest to solve for is Y in the first equation.
Step-by-step explanation:
Since the y has no coefficient in both equations, we look at the steps we take to solve. Equation 2 has to make you multiply negative one by both sides to make y positive, and THEN you would have to subtract 5x from both sides. However, with the first equation, all we need to do to solve for Y is add 4x to both sides. The answer? B. The easiest to solve for is Y in the first equation.
If you spin the following spinners, what is the probability it lands on a vowel and an even number?
Answer:
1/5
Step-by-step explanation:
vowels are a,e,i,o,u
2/5 times 3/6
even numbers are 2,4,6
6/30= 1/5
Answer:
2/5 * 1/2 = 1/5
Step-by-step explanation:
The First Spinner there are 2 vowels out of the 5 making the first fraction 2/5
The Second Spinner has 3 even numbers making it 3/6.
With 3/6 we can simplify it to 1/2.
Then Multiply to determine the probability
I need help on this.
Answer:
Evaluate the terms inside of the parentheses
Step-by-step explanation:
According to PEMDAS, you always start solving an equation by answering what is inside of the parentheses first. (That's what the 'P' in PEMDAS stands for!)
Therefore, this is the correct answer.
please help i'm literally terrible at this !
AB have a 90° angle with BC, so the angles ABD + CBD = 90
(7x - 9)° + 4x° = 90°
7x + 4x = 90 + 9
11x = 99
x = 99/11
x = 9
So the angles are:
7x - 9 -> 7.9 - 9 = 54°
4.9 = 36°
Answer:
m<CBD equals 54
Step-by-step explanation:
Since that is a right angle do (7x-9)+(4x)=90
=11x-9=90
=11x=99
x=9
CBD=7x-9
7(9)-9=54
Hope this helps
Rebecca is buying groceries and there is a 9% sales tax. Her total before tax is $67.
Which answer gives the best estimate for her total after tax?
1.)$134
2.) $603
3.) $60
4.) $75
Which type of science is economics? A. physical science B. social science C. life science D. applied science
Answer:The answer is B
Step-by-step explanation:
A car’s speed before a sudden stop can be estimated by the formula
S = √(30gk) , where
S = speed of the car in mph,
g = drag factor, and
k = length of skid mark in feet.
The drag factor during a recent crash was 1. What was the approximate speed of the car if it created skid marks 30 feet long?
a. 30 mph
b. 45 mph
c. 60 mph
d. 90 mph
Answer:
S = 30 mph
Step-by-step explanation:
A car’s speed before a sudden stop can be estimated by the formula :
[tex]S=\sqrt{30gk}[/tex]
Here,
S = speed of the car in mph,
g = drag factor, and
k = length of skid mark in feet
If drag factor is 1, k = 30 feet
So,
[tex]S=\sqrt{30\times 1\times 30}\\\\S=30\ mph[/tex]
Therefore, the correct option is (a) 30 mph.
PLEASE HELP ME!
How can I figure out the length of the short leg on a 30-60-90 right triangle without measuring it. And how can I determine the hypotenuse of the same triangle without measuring it.
Complete the rule:
positive + positive =
Answer:
Positive
Step-by-step explanation:
Positive plus positive is positive. For example, 3+3. That will be 6. 3 is positive both times. And six is positive.
solve for y in this equation
Answer:
y= -1 1/3
Decimal form: -1.3
Susie leases a $13,000 car for three years. The estimated resell value at the end of the lease term is $7,683. The interest rate is 5.1%. Susie will pay on her lease monthly. What is the depreciation fee?
a) $43.95
b) $147.69
c) $249.53
d) $7,683.00
Answer:
The depreciation fee is the difference between the initial value of the car and its estimated resell value at the end of the lease term. In this case, the depreciation fee is $13,000 - $7,683 = $5,317.
To calculate the monthly payment on the lease, you would need to know the length of the lease in months, the interest rate, and the depreciation fee. You can then use the following formula to calculate the monthly payment:
Monthly payment = (Interest rate / 12) x (Initial value - Resell value) / Length of lease in months
For example, if the length of the lease is 36 months, the monthly payment would be:
Monthly payment = (5.1% / 12) x ($13,000 - $7,683) / 36 months = $114.78
Keep in mind that this is just an example calculation and the actual monthly payment on Susie's lease may be different depending on the specific terms of the lease agreement.
Step-by-step explanation:
Which sequence are geometric? Select three options
If a credit card holder has a low APR. The minimum monthly payments will be?
A. higher
B. lower
C. unchanged
D. fluctuating
Answer:
Option B, the minimum monthly payments will be LOWER
Step-by-step explanation:
We can proof this by using hypothetical scenario below:
John has $1,500 with APR of 10% payable in 48 month equal instalment
Timmy has $1,500 with APR of 8% payable in 48 month equal instalment
Let us calculate monthly payment in each case
=pmt(rate,nper,-pv,fv)
rate is the monthly rate which APR/12
nper is 48
pv is the balance on the card which is $1,500
fv is the total monthly repayment which is unknown
John monthly payment=pmt(10%/12,48,-1500,0)=$38.04
Timmy monthly payment=pmt(8%/12,48,-1500,0)=$ 36.62
Since Timmy with a lower APR has a lower monthly payment, option B is correct
The circumference of circle A is three times the circumference of circle B. Which statement about the areas of the circles is true? *I'll mark brainliest for first answer
Help me sorry im not good at math
Answer:
D SORRY IF WRONG
Step-by-step explanation:
Answer:
D is the correct answer
In the xy-plane, a line that has the equation y = c for some constant c intersects a parabola at exactly one point . If the parabola has the equation y=-x^ 2 +5x. what is the value of c?
Answer:
c=6.25
Step-by-step explanation:
If a line that is flat (has a slope of zero) hits only one point of the parabola, it means that point is the vertex of the parabola.
In this case your equation is ---
y= –x^2 + 5x
--- and you just need to write in vertex for the equation:
y=a(x–h)^2 + k
y= –(x–2.5)^2 + 6.25
The vertex is (h,k) or (2.5,6.25)
Since the equation is "y=", k=c
or c=6.25
Thank You.
In this question:
We have to find the point of intersection of the line and the parabola.To do this, we have to apply concepts needed to solve a quadratic equation.Doing this, we find that the value is: [tex]c = \frac{25}{4}[/tex]
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]
[tex]\Delta = b^{2} - 4ac[/tex]
Line: y = c
Parabola: y = -x^ 2 +5x.
The intersection is at the point:
[tex]-x^2 + 5x = c[/tex]
[tex]-x^2 + 5x - c = 0[/tex]
[tex]x^2 - 5x + c = 0[/tex]
Which is a quadratic equation with [tex]a = 1, b = -5[/tex].
The line and the parabola intersect at exactly one point, which means that the quadratic equation has one solution, that is, [tex]\Delta = 0[/tex].
Since:
[tex]\Delta = b^{2} - 4ac[/tex]
It means that:
[tex]b^2 - 4ac = 0[/tex]
We use this to find the value of c.
[tex](-5)^2 - 4(1)(c) = 0[/tex]
[tex]4c = 25[/tex]
[tex]c = \frac{25}{4}[/tex]
The value is: [tex]c = \frac{25}{4}[/tex]
A similar question is found at https://brainly.com/question/15211279
