You want to multiply two consecutive numbers, and see when you get a multiple of three.
Since two consecutive numbers share no divisors (except 1), either n or n+1 must be a multiple of 3.
So, your experiments succeeds if n is itself a muliple of three, or if lies immediately before one. So, 2 numbers out of 3 are ok.
Let me try to visualize the situation: I'll list some integers. Below, I'll write if they are multiple of three (M) or not (N). Above, I will write if they will cause the experiment to succeed (S), i.e. n(n+1) will be dibisible by 3, or to fail (F), i.e. n(n+1) will not be a multiple of three. We have
So, since there are exactly 99 numbers between 1 and 99, and 2/3 of the numbers work, the probability that you will choose a number n such that n(n+1) is divisible by 3 is 2/3.
The average number calories in each serving of vegetables is 50.
Explanation:
120×9= 1080, or the amount of calories from breads and cereals.
1080+870=1950, or the number of calories in breads, cereals, and the rest of the daily intake.
2200-1950=250, or the amount of calories in 5 servings of vegetables.
250÷5=50, or the amount of calories in 1 serving of vegetables.
Hope this helps!!!
Answer:
slope (m)= 2/7
X1= 1
y1= 2
formula from equation of the line:
1. Y2 - Y1/ X2 - X1 ( if you know 2 point )
2. y - y1 = m × ( x - x1 ) (if you know the slope and 1 point )
3. mx + c = y ( if you know the slope and the y-axis )
because the known gradient and 1 point, then use the formula number 2.
let's get into the formula:
y - y1= m × (x -x1)
y - 2 = 2/7 × ( x - 1 )
y - 2 = 2/7x - 2/7
y= 2/7x - 2/7 + 2
y = 2/7x + 12/7
M=2
a=2+1=3
t=8
h=8-3=5
2x3x8x5
240
Answer:
Solution given:
length of arc LM={angle}/360*2*π*r
=here π=180 for angle and π for length
=(3π/4)/360*2*π *6
=(3*180/4)/360*2*π*6
=9/2π
option C
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