Answer:
56
Step-by-step explanation:
1 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10
2 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10
4 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10
7 + 4 + 5 + 6 + 7 + 8 + 9 + 10
11 + 5 + 6 + 7 + 8 + 9 + 10
16 + 6 + 7 + 8 + 9 + 10
22 + 7 + 8 + 9 + 10
29 + 8 + 9 + 10
37 + 9 + 10
46 + 10
56
Hope this helps!
Also hi
Answer:
x = <u>12/5</u>
Step-by-step explanation:
Since the original is 10 and the second is 6, that means that the scale is 10:6 or 5:3. It can also be related as %60 of the length.
<u>Step 1: Make an equation</u>
10/6 = 4/x
<u>Step 2: Cross Multiply</u>
10x = 24
<u>Step 3: Divide</u>
10x / 10 = 24 / 10
24/10 = 12/5
x = 2.4
-3y +4 = -11
-4 -4
-3y = -15
—— —-
-3y -3y
Y= 5
Answer:
3.1%, dependent event
Step-by-step explanation:
We have that vowel are 5, it is from A, E, I, O, U therefore the probability of drawing a vowel is:
5/26
since there are a total of 26 options to choose from. Then, when selecting that, we are left with 25 options and 4 vowels, therefore the probability would be:
4/25
Therefore the final probability is:
5/26 * (4/25) = 0.031
In other words, selecting a vowel and then another (without replacement) the probability is 3.1%
The events are dependent, since the first event affects the second event, since the number of vowels and the number of total options are reduced.
The two numbers I will call x and y.
x + y = 31
x * y = 150
You then solve for one variable in either equation and substitute it into the other equation.
x + y = 31
x = 31 - y
Then you plug it in:
x * y = 150
(31 - y) * y = 150
-y² + 31y = 150
y² - 31y + 150 = 0 Then factor:
(y - 6)(y - 25) = 0
y - 6 = 0 y - 25 = 0
y = 6 y = 25
When you plug y into the original equations, it comes out that the two numbers are 6 and 25. You can check your work because 6+25 = 31 and 6*25 = 150. Hope this helps! :)
