The mean absolute deviation of the data in the image given is: 1.5.
What is the Mean Absolute Deviation?The mean absolute deviation can be described as the average distance between each data value of a data set and its mean.
Thus:
Let's find the average of the data set:
Each data in the data set are 7, 2, 4, 3.
Mean = (7 + 2 + 4 + 3)/4
Mean = 4
Therefore:
Mean absolute deviation = (|x1 - mean| + |x2 - mean| + ...)/N
(|x1 - mean| + |x2 - mean| +...) = (|7 - 4| + |2 - 4| + |4 - 4| + |3 - 4|) = 6
N = 4
Thus:
Mean absolute deviation = 6/4 = 1.5
Therefore, the mean absolute deviation of the data in the image given is: 1.5.
Learn more about mean absolute deviation on:
https://brainly.com/question/17381861
Answer:
1.5 i did it on khan
Step-by-step explanation:
plssssss help I rly need help asap
.Write the equation of the line with m = –1 and Passes point (4, 5). Put your answer in Slope–Intercept Form.
y-5 = -1(x-4)
y-5 = -x+4
y= -x +4+5
y= -x+9
This is the required eqn
A manufacturer of compact-disk players subjects the equipment to a comprehensive testing process for all mechanical and electrical functions before the equipment leave the factory. Ideally, the hope is that each compact-disk player passes on the first test. Suppose that past data indicate that the probability that a compact-disk player passes the first test is 0.9. If 4 compact-disk players are randomly selected, determine the probability for Question a-f and round your answer to four decimal places.
Answer:
Incomplete question, but the binomial distribution with [tex]p = 0.9[/tex] and [tex]n = 4[/tex] is used to solve the questions.
Step-by-step explanation:
For each disk, there are only two possible outcomes. Either it passes the first test, or it does not. The probability of a disk passing the first test is independent of any other disk. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Suppose that past data indicate that the probability that a compact-disk player passes the first test is 0.9.
This means that [tex]p = 0.9[/tex]
4 compact-disk players are randomly selected
This means that [tex]n = 4[/tex]
Hey, what is 2*3+2*6^588+(3/3)=? I keep getting it wrong all the time.
I have another question, chocolate cake or red velvet cake.
Please show you're work! Thanks! Will give brainy
y = x²-8x+ 15
a. If x = -2, what does y equal?
b. If x = 1, what does y equal? (You can check your answer in Desmos Graphing)
c. Using Desmos, find the (x, y) coordinates of the vertex of the parabola.
Answer:
see below
Step-by-step explanation:
y = x²-8x+ 15
Let x = -2
y = (-2)²-8(-2)+ 15
= 4 +16 +15
= 35
Let x = 1
y = (1)²-8(1)+ 15
1 -8+15
=8
The vertex is (4,-1)
Look at the two 2s in this number:
Which of these statements is true? Choose all that apply.
A
The blue 2 on the left is 200 times the value of the orange 2 on the right.
B
The blue 2 on the left is 100 times the value of the orange 2 on the right.
C
The blue 2 on the left is 10 times the value of the orange 2 on the right.
D
The blue 2 on the left is equivalent to the orange 2 on the right.
E
The orange 2 on the right is 110\frac 1{10}
10
1
of the value of the blue 2 on the left.
A new update is available Refresh
Answer:
The blue 2 on the left is 10 times the value of the orange 2 on the right.
Step-by-step explanation:
An object has a mass of 630 kg and a volume of 7 m cube.
Find the density of the object in kg/m cube.
Step-by-step explanation:
Hey there!
According to the question;
Mass of an object (m) = 630 kg
Volume of an object (v) = 7m³
We know that;
[tex]density = \frac{mass(kg) \: }{volume( {m}^{3} )} [/tex]
or, density = (630/7) kg/m³
Therefore, density of the substance is 90kg/m².
Hope it helps!
Can someone please help me?
Answer:
4x+5y=8
Step-by-step explanation:
Find the slope first then
Use the slope intercept form to get the formula
Then rearrange it to find this answer
(I didnt write all the steps as they would get confusing)
help me and I’ll give you brainliest
So this is complicated, but to get a general idea simple we use common sense and say its bigger than 4, since its length is bigger than the supposed 4 length. So then we get the options 6, 5, and 24. Now we can do some basic math and figure that the circle radius is around 4 so its probably 6 or 5. Slim change of 24.
People who did the physical math can check it with my answer.
Angle 0 corresponds to a point (x,y) on the unit circle in quadrant 1. Which quadrant does 0+pi lie in?
Answer: Quadrant 3
============================================================
Explanation:
pi radians = 180 degrees
If angle [tex]\theta[/tex] (greek letter theta) is in quadrant 1, then this places the angle in the northeast quadrant. Adding 180 degrees to theta will move it to the third quadrant, which is in the southwest.
Note: when incrementing through the quadrants (1,2,3,4) we move counterclockwise.
this is a 30-60-90 triangle. what is the measure of X? please explain
[tex]x = 10 \sin(60) \\ x = 10 \frac{ \sqrt{3} }{2} \\ x = 5 \sqrt{3} [/tex]
Need help need help gonna fail
Answer:
._.
Step-by-step explanation:
Im sorry bro got no clue I hope you pass tho! (I know you will! Your awesome! :D)
Answer:
hey I just did this I will go back and check my answer
Step-by-step explanation:
The spoke of a wheel is 15 inches long. What if the area enclosed by the tire?
Answer:
225[tex]\pi[/tex]
or 706.86 rounded
Step-by-step explanation:
area of a circle is [tex]\pi r^{2}[/tex](r=radius)
[tex]\pi r^{2}[/tex]
[tex]\pi 15^{2}[/tex]
[tex]\pi 225[/tex]
=225[tex]\pi[/tex]
Simplify.
x^3 divided by x^5
Answer:
Step-by-step explanation:
x^3/x^5
=x^3-5
=x^-2
=1/x^2
NASA estimates that the probability that a certain component in a communication satellite fails is .005. There is an independent backup system, and the probability that it fails is .01. What is the probability that both systems fail
Answer: [tex]0.00005[/tex]
Step-by-step explanation:
Given
The probability that a certain component in a communication satellite fails is 0.005.
There is an independent backup system, and the probability that is fails is 0.01
The probability that both the system fails is given by
[tex]\Rightarrow P=0.005\times 0.01\\\Rightarrow P=0.00005[/tex]
a market research firm used a sample of individuals to rate the purchase potential of a particular product before and after the individuals saw a new, expensive television commercial about the product g which is the most appropriate test
Answer and explanation:
Answer:
Two sample t test
Explanation:
The test that could be used here is the two sample t test. The two sample t test compares two groups to ascertain if there is an average significant different between the two groups being compared, also making sure the result of difference is not random. For instance to test the above example, the two sample t test compares the group before they watch the commercial with the group after the commercial to know if there is a significant difference between the two groups.
Expand ( x - 1/x^2)^4
Answer:
We want to expand the expression:
[tex](x - \frac{1}{x^2} )^4[/tex]
We can just do it by brute force, this is:
First, rewrite our expression as the product of two square factors:
[tex](x - \frac{1}{x^2} )^4 = (x - \frac{1}{x^2} )^2*(x - \frac{1}{x^2} )^2[/tex]
Now we can expand each one these two factors:
[tex](x - \frac{1}{x^2} )^2 = (x - \frac{1}{x^2} )*(x - \frac{1}{x^2} ) = x^2 + \frac{1}{x^4} -2*x*\frac{1}{x^2}[/tex]
That can be simplified to
[tex]x^2 - \frac{2}{x} + \frac{1}{x^4}[/tex]
Now we can replace that in our original expression to get:
[tex](x^2 - \frac{2}{x} + \frac{1}{x^4})*(x^2 - \frac{2}{x} + \frac{1}{x^4})[/tex]
Now we can expand that last product, to get:
[tex](x^2)^2 + 2*(x^2)*(-\frac{2}{x} ) + 2*(x^2)*(\frac{1}{x^4}) + 2*(\frac{-2}{x})*(\frac{1}{x^4}) + (\frac{-2}{x} )^2 + (\frac{1}{x^4})^2[/tex]
We can simplify that to:
[tex]x^4 - 4x + 2x^2 - \frac{4}{x^5} + \frac{4}{x^2} + \frac{1}{x^8}[/tex]
That is the expanded expression.
Simon uses 2/3 cup of sugar to bake a cake. How many cups of sugar does he needs to bake 6 cakes?
Answer:
4
Step-by-step explanation:
2/3x6=4
A farmer wants to fence a rectangular area of 200 square feet next to a river. Find the length and width of the rectangle which uses the least amount of fencing if no fencing is needed along the river. Assume the length of the fence runs parallel to the river.
Answer:
[tex]l=10[/tex] [tex]w=20[/tex]
Step-by-step explanation:
Given
[tex]l \to length[/tex]
[tex]w \to width[/tex]
[tex]A= 200ft^2[/tex]
Required
The dimension to minimize cost
Area is calculated as:
[tex]A =l * w[/tex]
This gives:
[tex]l * w = 200[/tex]
Make l the subject
[tex]l = \frac{200}{w}[/tex]
The perimeter P is:
[tex]P = 2l + w[/tex] ---- because one part will not be covered
Substitute: [tex]l = \frac{200}{w}[/tex]
[tex]P = 2 * \frac{200}{w} + w[/tex]
[tex]P = \frac{400}{w} + w[/tex]
Rewrite as:
[tex]P = 400w^{-1} + w[/tex]
Differentiate
[tex]P' = -400w^{-2} + 1[/tex]
Set to 0
[tex]-400w^{-2} + 1 = 0[/tex]
Rewrite as:
[tex]-400w^{-2} =- 1[/tex]
Divide by -1
[tex]400w^{-2} =1[/tex]
Rewrite as:
[tex]\frac{400}{w^2} =1[/tex]
Solve for [tex]w^2[/tex]
[tex]w^2 = 400[/tex]
Take square roots
[tex]w=20[/tex]
Recall that: [tex]l = \frac{200}{w}[/tex]
[tex]l =200/20[/tex]
[tex]l=10[/tex]
Using the net below, find the surface area
of the pyramid.
7in.
4 in.
4 in.
Surface Area
[?] in.2
Enter
Answer:
is it 72
Step-by-step explanation:
true or false? like terms have the same variable and the same exponent.
what is the slope of the line passing through the points A(-2,-3) and B(6,4) ?
Answer:
Slope is the change in y over the change in x. Just subtract and simplify the fraction.
Step-by-step explanation:
(-3 - 4)
______
(-2 - 6)
A bag contain 5 red marbles, 4 blue marbles and 6 green marbles. If three marbles are drawn out of the bag, what is the exact probability that all three marbles drawn will be red?
Answer:
2/91.
Step-by-step explanation:
There are 15 marbles in the bag.
Prob(First draw is red) = 5/15 = 1/3.
Prob(Second draw is red) = 4/14 = 2/7.
Prob(Third draw is red) = 3/13.
So probability that all 3 are red = .1/3 * 2/7 * 3/13
= 6/273
= 2/91.
What is the range of the function f(x) = |x| – 3?
all real numbers
all real numbers less than or equal to 3
all real numbers less than or equal to –3
all real numbers greater than or equal to –3
9514 1404 393
Answer:
all real numbers greater than or equal to –3
Step-by-step explanation:
|x| has a range of all real numbers greater than or equal to zero, so f(x) = |x|-3 will have a range of ...
all real numbers greater than or equal to -3
Answer:
(D): All real number greater than or equal to -3
Step-by-step explanation:
Ill give brailiest
.........
Answer:
4.37 inches.
Step-by-step explanation:
4 2/5 = 4.4
4.4 - 0.03 = 4.37
Therefore, it rained 4.37 inches on Tuesday.
Answer: the answer is A (I think but it should be correct)
What is the slope-intercept equation of the line below?
5
-5
5
6
y-intercept= (0, -4)
slope = 3
Answer:
Step-by-step explanation:
Y-intercept of line is 14
slope of line = (0 - 14)/(10 - 0) = -14/10 = -7/5
Required equation is y = -7/5 x + 14
Answer:
y=3x-4
Step-by-step explanation:
The slope-intercept form of the equation of a line is written in y=mx+b
where m is the slope and b is the y-intercept
So in that form
y=mx+b becomes
y=3x-4 using your slope of 3 and y-intercept of -4
the distance from kevins home to his school is 2 kilometers. adrian lives 750 meters from the same school. how much closer does adrian live next to the school than kevin
A cube has a side length of 5a^2b^4. What is the volume?
Answer:
(5a²b^4)³
Step-by-step explanation:
Volume=length*breadth*height
∴Volume=5a²b^4*5a²b^4*5a²b^4
∴Volume of the cube=(5a²b^4)³
Hope it helps you!
Pls mark as Brainliest
A right triangle has side lengths 5, 12, and 13 as shown below. Use these lengths to find cos B, tanB, and sin B. (Plz I need help)
Answer:
5/13, 12/5, 12/13
Step-by-step explanation:
cos = adj/hyp
tan = opp/adj
sin = opp/hyp
hyp = 13
adj = 5
opp = 12
Plug in.
cos = 5/13
tan = 12/5
sin = 12/13
Which system of equations has no solution?
Answer:
Step-by-step explanation:
Step-by-step explanation:
I think it's C.not sure if it's correct
