MATHEMATICS HIGH SCHOOL

Using the following data, calculate the mean absolute deviation: 10 7 1 6 7 9 8 10 2 5


What is the mean absolute deviation for these data?
2
2.4
6.5
7

Answers

Answer 1
Answer:

Answer:

The mean absolute deviation of first data is2.54

and for second data is 2.115

Step-by-step explanation:

Mean of  data x_1,x_2,x_3,x_4,...x_(n) is calculated as:

mean=(x_1+x_2+x_3+x_4+...+x_n)/(n)

and mean absolute deviation is calculated as √(mean)

The given first data : 10 7 1 6 7 9 8 10 2 5

mean=(x_1+x_2+x_3+x_4+...+x_n)/(n)

mean=(10+7+1+6+7+9+8+10+2+5)/(10)

mean=6.5

mean absolute deviation √(6.5)=2.54

The given first data : 2   2.4   6.5   7

mean=(x_1+x_2+x_3+x_4+...+x_n)/(n)

mean=(2+2.4+6.5+7)/(4)

mean=(17.9)/(4)

mean=4.475

mean absolute deviation √(4.475)=2.115

Therefore, the mean absolute deviation of first data is2.54

and for second data is 2.115
Answer 2
Answer: First set of data:
Mean - 6.5
Absolute deviation - 2.4

Second set of data:
Mean - 4.475
Absolute deviation - 2.275

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Simplify 5x + 3y - 2x + 4y

Answers

5x+3y-2x+4y= 5x-2x+4y+3y= 3x+7y
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(01.05 MC)Which fraction is equivalent to 4 over negative 9?

Answers

Answer: 8/-18

Step-by-step explanation:

What is the fraction 18/24 reduced to its lowest terms? A. 9/12
B. 3/4
C. 24/18
D. 18/24

Answers

First, find the greatest common factor (GCF) of the numerator and denominator.

Factors of 18: 1, 2, 3, 6, 9, 18
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Common Factors: 1, 2, 3, 6
GCF: 6

Now, divide the numerator by 6 and the denominator by 6.

18 ÷ 6 = 3
24 ÷ 6 = 4

Set these as your new numerator and denominator.

(3)/(4)

The answer is (b).
\boxed{ (18^(/6))/(24^(/6)) ~\to~ (3)/(4) }

How many days in 4 consecutive years

Answers

There are 365 days in a year.
So in 4 years, there are 365 × 4 = 1460 days.
However, every 4 years, there is also a "leap day." (an additional day in February of years divisible by 4 to balance the calendar)
After adding this day, we would have 1461 days in 4 consecutive years.

*Note: There are exceptions to when leap years happen, so on some 4 year periods there is no leap year. In that case, there could be just 1460.

In four consecutive years, there are 1461 days.

How did we get the value?

To determine the total number of days in four consecutive years, we need to consider whether those years are regular years or leap years.

A regular year has 365 days, while a leap year has 366 days. Leap years occur every four years, with some exceptions. The exceptions are years divisible by 100 but not divisible by 400, which are not leap years.

To calculate the number of days in fourconsecutive years, we first determine if any of the years in that span are leap years. If one or more of the years are leap years, we add an extra day for each leap year.

Let's consider the four-year period starting from the current year, 2023:

Year 2023: Regular year (365 days)

Year 2024: Leap year (366 days)

Year 2025: Regular year (365 days)

Year 2026: Regular year (365 days)

To calculate the total number of days in this four-year span, we add up the days for each year:

365 + 366 + 365 + 365 = 1461

Therefore, in four consecutive years, there are 1461 days.

learn more about leap years:brainly.com/question/16857710

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A $5000 investment earns $1575 simple interest in three years. What is the annual interest rate?a. 1.05%
b. 3.15%
c. 10.5%
d. 31.5%

Answers

I=PRT
P=principal
I=interest
R=rate
T=time in years

Principal=5000
Interest=1575
R=?
T=3 years

I=PRT
1575=(5000)(R)(3)
1575=15000(R)
divide both sides by 15000
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we need to covert to percent
x%=x/100
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answer is C

The graphs of f(x) and g(x) are shown below:graph of function f of x open upward and has its vertex at negative 7, 0. Graph of function g of x opens upward and has its vertex at negative 5, 0

If f(x) = (x + 7)^2, which of the following is g(x) based on the translation?

g(x) = (x + 5^)2

g(x) = (x − 5)^2

g(x) = (x − 9)^2

g(x) = (x + 9)^2

Answers

Answer:

The equation for g(x) is:

g(x)=(x+5)^2

Step-by-step explanation:

We are given the information about the graph of the function f(x) and g(x) as:

graph of function f of x open upward and has its vertex at (-7,0).

Graph of function g of x opens upward and has its vertex at (-5,0).

If f(x) = (x + 7)^2; which is a parabola with vertex at (-7,0).

Also as g(x) is formed by the translation of the function f(x) so it will also be a quadratic function such that it's vertex is (-5,0).

so, the equation of g(x) will be:

g(x)=(x+5)^2.

Hence, the translation is a shift of the function f(x) 2 units to the right.
The right answer for the question that is being asked and shown above is that: "g(x) = (x − 5)^2" If f(x) = (x + 7)^2, the expression that is g(x) based on the translation is that g(x) = (x − 5)^2
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