Answer:
C)30%
Step-by-step explanation:
Prime numbers less than 30 are given below
2,3,5,7,11,13,17,19,23,29
We have to find the probability that sum of three prime numbers selected will be even.
We know that
Sum of any three prime number except 2 will be odd.
Total prime numbers except 2=9
Total prime numbers=10
Probability:P(E)=
Probability of getting sum of three prime numbers selected will be odd=
By using formula
Probability of getting sum of three prime numbers selected will be odd=P(E)=
Probability of getting sum of three prime numbers selected will be odd=P(E)=
Probability of getting sum of three prime numbers selected will be even=P(E')=1-0.7=0.3=
%
By using formula P(E')=1-P(E)
A perfect trinomial, if we begin by a binomial is defined as: the square of the first term, plus (or minus) the double product of the first term times the second, plus the square of the second term:
(a + b)^2 = a^2 + 2ab + b^2
We are given:
y^2 + 5y + x
we need to find x, so x is defined as a squared quantity, which is equal to the second term coefficient (5) divided by 2, and that number squared, that is:
(5/2)^2 = 25/4
that is the third term for the trinomial to be perfect.
Answer:
b = 7/2
x = 11/2
y = 21/2
z = -4
Step-by-step explanation:
2x + 2y + 2z = 24
x + y + z = 12
b + 2x + y + z = 21
2b + 2y = 28
b + y = 14
3x + y + z = 23
we can start anywhere by transforming these equations in a way that always one variable is excised by others.
so, e.g.
b = 14 - y
14 - y + 2x + y + z = 21
2x + z = 7
z = 7 - 2x
3x + y + 7 - 2x = 23
x + y = 16
16 + z = 12
z = -4
-4 = 7 - 2x
-11 = -2x
11 = 2x
x = 11/2
11/2 + y = 16
y = 16 - 11/2 = 32/2 - 11/2 = 21/2
b = 14 - 21/2 = 28/2 - 21/2 = 7/2
I don’t appreciate you being there for a long week and I’m not good enough for it and you don’t feel good enough for
Answer:
40
Step-by-step explanation:
Two ways we can solve this problem:
1. Graphically
2. Mathematically
Because you already solved it graphically, I will show you how to do so mathematically. Of course, graphically is much much easier and more efficient in this problem.
Let's break the problem down.
First, we are given a graph which contains a slope.
To find slope, we use the technique -> rise/run
Picking 2 obvious points from the graph, we can see
1st point -> (10, 20)
2nd point -> (40, 80)
Now, let's find the slope
Now, we have an equation y = 2x, where y = number of pies and x = cups of sugar
We want to find how many cups of sugar we need to bake 80 pies. Simply substitute 80 = number of pies = y
y = 2x -> 80 = 2x
Solving for x, divide both sides by 2
40 = x
We need 40 cups of sugar.
