Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
y ≥ 5
Step-by-step explanation:
Distribute
2y - 2 = 8
+2. +2
2y/2 = 10/2
y = 5
9514 1404 393
Answer:
10
Step-by-step explanation:
The n-th triangular number is given by ...
t(n) = n(n+1)/2
We went to find n when t(n) = 55.
55 = n(n+1)/2
110 = n(n+1)
Adding 1/4 completes the square.
110.25 = (n +0.5)^2
√110.25 = n+0.5 . . . . . we are interested in the positive value of n
n = 10.5 -0.5 = 10
The triangular number that has 55 dots in its shape is the 10-th number.
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<em>Additional comment</em>
Here, we have gone to the trouble to formally complete the square to find the value of n. You may realize that it isn't really necessary to go to that trouble.
A reasonable estimate of the value of n is possible by considering that the product n(n+1) is a little more than n², so the value of n will be a little less than √110 ≈ 10.49. The nearest integer is 10, which is the answer we're looking for.
What is the mean,median,mode,range of 0,0,1,3,3,4,5,5,7,7,7,7,7,10,18,50?
vodomira [7]
To find the median, we will list our numbers from least to greatest, and then cross out the smallest number and the biggest number.
0,0,1,3,3,4,5,5,7,7,7,7,7,10,18,50.
0,1,3,3,4,5,5,7,7,7,7,7,10,18.
1,3,3,4,5,5,7,7,7,7,7,10.
3,3,4,5,5,7,7,7,7,7.
3,4,5,5,7,7,7,7.
4,5,5,7,7,7.
5,5,7,7.
5,7.
Since we cannot find a middle number, add the last two numbers up and divide by 2.
5+7 = 12. 12/2=6.
Our median is 6.
The mean is the sum of all numbers divided by how many numbers we have.
0+0+1+3+3+4+5+5+7+7+7+7+7+10+18+50= 132.
We have 16 numbers total.
132/16 = 8.25.
Our mean is 8.25.
The mode is the number that appears the most within the given list.
7 appears the most.
Your mode is 7.
The range is the difference between the largest number and the smallest number.
Our largest number is 50 and our smallest number is 0. The difference of two numbers means to subtract. Subtract 0 from 50.
50-0 = 50.
Your range is 50.
I hope this helps!
