How to find the mean to 2,3,3,3,4,4,8,9,9

2 answers:

wel3 years ago

4 0

Add up all the numbers and then divide it by how many number are in the set. so you would add it all up and divide by nine

Whitepunk [10]3 years ago

4 0

To find the mean you first have to add up all of the numbers given to you:
2+3+3+3+4+4+8+9+9=45
After you do that you divide by the number of number:
45/9=5
The mean of 2+3+3+3+4+4+8+9+9 is 5

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A positive integer is 15 less than another. If 4 times the reciprocal of the smaller integer is subtracted from the reciprocal o

NemiM [27]

Translate the info given into equations:

<span>A positive integer is 15 less than another -----> x = y - 15

</span><span>If 4 times the reciprocal of the smaller integer is subtracted from the reciprocal of the larger integer, then the result is − 3/4
</span>------> (1/y) - (4/x) = -3/4

Use substitution, replace 'x' with 'y-15' in 2nd equation

$\frac{1}{y} - \frac{4}{y-15} = -\frac{3}{4} \\ \\ \frac{ (y-15)-4y}{y(y-15)}=-\frac{3}{4} \\ \\ 4(-3y-15) = -3y(y-15) \\ \\ -12y -60 = -3y^2+45y \\ \\ 3y^2-57y-60 = 0 \\ \\ y^2-19y -20 =0 \\ \\ (y-20)(y+1) = 0 \\ \\ y = 20,y=-1$

We know that both x and y must be positive integers, so y =-1 is not a solution.

If y=20, then x = 20-15 = 5

Final answer:
The pair of integers is (5,20)

7 0

4 years ago

Find the area of the triangle with the given measurements. round the solution to the nearest hundredth if necessary. b = 107°, a

Aleks [24]

Answer:

105.19 cm²

Step-by-step explanation:

The applicable area formula is ...

area = (1/2)ac·sin(B) = (1/2)(10)(22)sin(107°) ≈ 105.19 cm²