What is the mean ( average) of the data set: 3/4, 13/5 , 14/10, and 6/24?

2 answers:

7 0

To find the average, we need to add all the data together and then divide by the number of entries on the set (in this case 4).

To add fractions we have to find a common denominator. First we end to make sure all the fractions are reduced as far as possible.

6/24 can be reduced to 1/4.

Now we have denominators of 4, 5, and 10 to work with. All of those are factors of 20 so we will use that as the common denominator. Remember we reduced 6/24 to 1/4.

3/4 × 5/5 = 15/20
13/5 × 4/4 = 52/20
14/10 × 2/2 = 28/20
1/4 × 5/5 = 5/20

Now let's add em up...

15/20+52/20+28/20+520=100/20

100/20= 5

So that's the total of our fractions. Now divide by 4 to get the mean or average.

5/4 or 1.25

(I would keep it as a fraction since that is what we started with)

irinina [24]2 years ago

3 0

Add them all together and divide by the number of variables here there are four and the answer is 1.25 or 5/4

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The measure (in inches) of the sides of triangle RIO are equivalent to three consecutive odd integers. The perimeter is 201 inch

mariarad [96]

Let
x-------------> first odd integer
x+2---------> second odd integer
x+4---------> third odd integer

we know that
(x)+(x+2)+(x+4)=201--------> 3x+6=201--------> 3x=195-------> x=65

the three sides of triangle RIO are
x=65 in
x+2-----> 65+2-----> 67 in
x+4----> 65+4------> 69 in

then
69²=4761----------> c²
(65²+67²)=8714--------> a²+b²
c² < (a²+b²)---------> the triangle RIO is not obtuse
Is acute angle triangle

statements
1) The triangle is obtuse--------> is false
Is acute angle triangle

2) The triangle is scalene-----> is correct
The three sides measures are diferent

3)The smallest side measures 61 inches--------> is false
The smallest side measures 65 in

4)The largest side measures 69 inches-------> is correct

5) If triangle RIO is dilated of 1/3, then the perimeter of the dilated triangle will be 3 units smaller
If triangle RIO is dilated of 1/3, then news sides are
65/3------> 21.67 in
67/3-------> 22.33 in
69/3------> 23 in

the new perimeter is=21.67+22.33+23------> 67 in
201-67=134 in
therefore
If triangle RIO is dilated of 1/3, then the perimeter of the dilated triangle will be 3 units smaller----------> is false

Because the perimeter of the dilated triangle will be 134 units smaller

6 0

2 years ago

Read 2 more answers

Simplify and determine the coefficient of (-2/5x)(5y)(-2x).

Juli2301 [7.4K]

Solution/Answer : 4

Solution: the first you do is multiply the last two parentheses to get -10xy

Now we are left with ( -2/5x)(-10xy)
Then we multiply that out into
(-2*-10)/5*x^2y = 20/5x^2y =
4x^2y

The coefficient in this case would be four. (In case you were confused about what a coefficient actually is, it’s the number you multiply a variable by)

Hopes this helps :)