A% x 50 = 35
a/100 x 50 = 35
a/2 = 35
a = 70
Answer:
Step-by-step explanation:
The probability of an event can be found by dividing the favorable outcomes by all outcomes.
We want to find the probability of a blue ball. In this situation, the favorable outcomes are the blue balls. The total number of balls is all the outcomes.
There are 11blue balls.
- Find the total number of balls, which is the sum.
- 8 red+ 6 green + 11 blue=25 total
This fraction cannot be reduced further, so it is the answer. As a decimal it is:
The probability of drawing a blue marble is <u>0.44 or 11/25</u>
We have to present the number 41 as the sum of two squares of consecutive positive integers.
1² = 1
2² = 4
3² = 9
4² = 16
5² = 25
16 + 25 = 41
<h3>Answer: 4 and 5</h3>
Other method:
n, n + 1 - two consecutive positive integers
The equation:
n² + (n + 1)² = 41 <em>use (a + b)² = a² + 2ab + b²</em>
n² + n² + 2(n)(1) + 1² = 41
2n² + 2n + 1 = 41 <em>subtract 41 from both sides</em>
2n² + 2n - 40 = 0 <em>divide both sides by 2</em>
n² + n - 20 = 0
n² + 5n - 4n - 20= 0
n(n + 5) - 4(n + 5) = 0
(n + 5)(n - 4) = 0 ↔ n + 5 = 0 ∨ n - 4 =0
n = -5 < 0 ∨ n = 4 >0
n = 4
n + 1 = 4 + 1 = 5
<h3>Answer: 4 and 5.</h3>
Step-by-step explanation:
y=x+3
root : (-3,0)
domain : X € R
y intercept : ( 0, 3)
x + y=6
root : ( 6, 0)
domain : X € R
y intercept : ( 0, 6 )