Answer:
Option A - 2.2
Step-by-step explanation:
Given : Data 7, 2, 8, 5, 9, 9, 5, 6, 8, 1.
To find : What is the mean absolute deviation for these data?
Solution :
Step 1 - Calculate the mean of the data,
[tex]M=\frac{\sum x_n}{n}[/tex]
[tex]M=\frac{7+2+8+5+9 +9+5+6+8+1}{10}[/tex]
[tex]M=\frac{60}{10}[/tex]
[tex]M=6[/tex]
The mean is 6.
Step 2 - Calculate the distance between each data point and the mean.
Data points Distance from mean
7 |7-6| = 1
2 |2-6| = 4
8 |8-6| = 2
5 |5-6| = 1
9 |9-6| = 3
9 |9-6| = 3
5 |5-6| = 1
6 |6-6| = 0
8 |8-6| = 2
1 |1-6| = 5
Step 3 - Add all the terms of distance from mean
X=1+4+2+1+3+3+1+0+2+5=22
Step 4 - Apply mean absolute deviation formula,
[tex]MAD=\frac{\sum X}{n}[/tex]
[tex]MAD=\frac{22}{10}[/tex]
[tex]MAD=2.2[/tex]
Therefore, Option A is correct.
The mean absolute deviation is 2.2.
Please need some help on this
A bicycle wheel has a diameter 60inches how many rotations would it take to go 600 feet
mr. martinez has 3 ice chests. he is placing 14 lunches in each ice chest. each lunch contains a sandwich, a bag of chips, and a drink. about 55% of these lunches contain a ham sandwich. which of the following is closest to the number of lunches that contain a ham sandwich?
The required number of lunch that contains 55% of ham sandwich is given as 23.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
The total number of lunches is given as,
= 3 × 14
= 42 lunch in the 3 ice chests,
Now, 55% of the lunch consists the ham sandwich,
The number of lunch that contains the ham sandwich is given as,
= 0.55 × 42
= 23.1
≈ 23
Thus, the required number of the lunch that contains 55% of the ham sandwich is given as 23.
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Solve for x.
7
12
21
4
given the formula E=IR what is the formula for R?
Evaluate the numerical expression.
3.8 − 4.8 ÷ 0.4 − 2.4
PLZZ HELP!!!!
What is the surface area of the right rectangular prism?
Enter your answer in the box.
What is the value of X 56•
Answer:
B) 68
Step-by-step explanation:
56*2=112
180-112=68.
what are the coordinates of r(180°,O)(-4,1)
Is 3(2+4)=(3x2)+(3x4) associative,distributive,or communitive property
Fruit is being handed out at a picnic. The basket contains 5 bananas, 3 oranges and 2 apples. If two pieces of fruit are handed out one after the other, which combination would have a probability of 2/9
(Photo) Please help me
What's the probability of getting a number less than 5 and a head when rolling a die and then tossing a coin?
In parallelogram ABCD, ∠A and ∠B are adjacent. The measure of ∠B is twice the measure of ∠A. Which equation gives the exact measure of ∠A?
A. m ∠A + m ∠B = 180°
B.m ∠A + 2 • m ∠A = 180°
C.m ∠A + m ∠B = 90
D.m ∠A + 2 • m ∠A = 90°
Help please !!
What is the length of VW?
A) 16 units
B) \sqrt{x} 13
C)20 units
D) \sqrt{x} 20
In Kendra’s class, 40 percent of the students earned an A on the math test. Twenty students earned an A. Kendra needs to find out how many students are in her class. Kendra’s work is shown below.
40 / 2 = 20
_________
100 x 2 = 200
what mistake did kendra make? (the / is meant as a division symbol)
A. Kendra should have multiplied by 4 in both the numerator and the denominator.
B. Kendra should have divided by 2 instead of multiplying by 2 in the denominator.
C. Kendra should have added 40 and 20.
D. Kendra should have the part to whole equation written as 100/40 (100 over 40)
Answer:
B. Kendra should have divided by 2 instead of multiplying by 2 in the denominator.
Step-by-step explanation:
In Kendra’s class, 40 percent of the students earned an A on the math test.
Let the total students in the class be = x
So, as per the situation given, we can say that
[tex]0.40\times x=20[/tex]
x = 50
Hence, there are 50 students in the class.
We can cross check this as:
[tex]0.4\times50=20[/tex]
So, Kendra surely did a mistake.
Kendra should have divided 100 by 2. But she multiplied by 2.
the perimeter of triangle rxa is 24. if rx= 4 and ra= 11, find xp and pa
Shelley purchased a home in Maryland Heights, MO, for $204,000. Her down payment was 20% of the cash price, and she obtained a mortgage for 20 years at 7%. What's Shelley's monthly payment?
Piecewise function help!
you want to determine if two triangle are similar. what is the minimum number of angles you need to measure to determine if the triangles are similar
To know if 2 triangles are similar, we would need at least 2 angles, why?
Since a triangle has 3 angles, and those angles add up to 180°, we can easily determine the third angle.
Example: If 2 angles of a triangle were 13 and 97, we would know that 13 + 97 = 110, then 180° - 110° = 70°, so the missing angle is worth 70°.
Hope this helped! c:
What is the simplified form of square root 64x^16?
8x^4
8x^8
32x^4
32x^8
Answer:[tex]8x^{8}[/tex]
Step-by-step explanation:
When multiplying two numbers with exponents you adding the exponents
[tex](x^{m} )(x^{n} )=x^{m+n}[/tex]
[tex]\sqrt{64x^{16} }[/tex] = [tex]\sqrt{64x^{8+8} }[/tex] = [tex]\sqrt{8(8)(x^{8}) (x^{8} )}[/tex] =8[tex]x^{8}[/tex]
plz give awnser 50 points
questions 5 and 9
The difference between eight times a number and three is equal to negative nineteen. What is the number?
A.2
B.-2
C.-3
D.3
Emma can sign up for two after-school activities. She can choose soccer, softball, or dancing, and she can choose drama, band, or drawing.
Which table shows all of her possible options?
A family has 8 girls and 4 boys. A total of 3 children must be chosen to speak on behalf of the family at a local benefit. What is the probability that no girls and 3 boys will be chosen?
Final answer:
The probability that no girls and 3 boys will be chosen is 1/55 or approximately 1.82%.
Explanation:
To find the probability that no girls and 3 boys will be chosen, we need to determine the total number of possible outcomes and the number of favorable outcomes.
There are a total of 12 children (8 girls + 4 boys) in the family. Since 3 children are being chosen, the total number of possible outcomes is the combination of 12 children taken 3 at a time, which is denoted as C(12, 3) = 220.
The number of favorable outcomes is choosing 3 boys from the 4 available boys, which is denoted as C(4, 3) = 4.
Therefore, the probability of choosing no girls and 3 boys is 4/220 = 1/55, which can be reduced to approximately 0.0182 or 1.82%.
50% of babies are born female. olive wants to find probability that 20 or more of the 50 babies born today were female.we need to design a simulations .which random device device can we use to best represent this situation
Answer:
Use a double-sided coin and assign heads as females and tails as males.
Step-by-step explanation:
I did the I-Ready lesson.
List all of the ways that a square can be correctly classified (or named) and Explain why each of the different names is also correct. one point will be given for each classification and explanation
What do you do if there are no matching coefficients
When dealing with null coefficient terms in mathematics or chemistry, they can be a tool to simplify calculations. Replacing zero coefficients with a positive approximation or selecting rows with zeroes in matrices can ease the process. Always verify solutions by substituting them back into the original equations to ensure correctness.
When you encounter situations where there are no matching coefficients in your algebraic equations, it is important to look for null coefficient terms. Such terms can help simplify the computations. For instance, if you are working on balancing chemical equations or solving systems of equations, and one of the coefficients is zero, this can be advantageous because multiplying by zero is a straight-forward operation.
If a coefficient equals zero, like one in a characteristic equation, replace it with a positive quantity approaching zero from the right-hand side. Continue with the analysis after this adjustment. Additionally, when working with matrices, selecting a row with zeros as the coefficient row can simplify the process of expansion by minors since some minors will not need to be computed and can just be multiplied by the zero coefficient.
In the case of balancing equations in chemistry or optimizing coefficients in a mathematical model, practice and a methodical approach are necessary. Make sure to double-check your computations and if you are unsure about the correctness of your solution, substitute it back into the original equation.
Pls answer the question fasttt
Evaluate the expression.
12(43−6⋅32)
Answer:
the answer is 5.
Step-by-step explanation:
The expression 12(43−6⋅32) evaluates to -132 by following the order of operations, first calculating the exponent, then the multiplication and subtraction inside the parentheses, and finally multiplying the result by 12.
To evaluate the given expression 12(43−6⋅32), we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).
First, solve the exponent 32 which is 9.
Then, perform the multiplication within the parentheses: 6⋅9 equals 54.
Now, subtract that result from 43: 43 - 54 which gives us -11.
Finally, multiply the result by 12: 12 ⋅ (-11) equals -132.
Therefore, the expression 12(43−6⋅32) evaluates to -132.
What is 5√ ?
Place a dot on the number line at the best approximation.
The required √5 on the number line is shown in the image attached.
What is a number line?A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.
Here
To locate √5 on a number line, we can begin by locating the integers that √5 lies between. We know that 2² = 4 and 3² = 9, so √5 must be between 2 and 3.
To get a more accurate estimate, we can divide the distance between 2 and 3 into 10 equal parts (tenths). Each tenth represents 0.1 units on the number line. We know that 0.5 is halfway between 0 and 1, so √5 must be a little more than halfway between 2 and 3.
By estimating the position of √5 on the number line, we can approximate it as being around 2.2 to 2.3.
Thus, the required √5 is shown in the image attached.
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