Answer:
12.08
Step-by-step explanation:
For each sunflower, there are only two possible outcomes. Either it germinates, or it does not. The probability of a sunflower germinating is independent of other sunflowers. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The standard deviation of the binomial distribution is:
Seventy-six percent of sunflower seeds will germinate into a flower
This means that
Samples of 800:
This means that
The standard deviation for the number of sunflower seeds that will germinate in such samples of size 800 is:
Answer:
Since L.H.S = R.H.S = 0, for both and , y₁ and y₂ both satisfy the equation y" - y = 0 and are thus solutions to the differential equation.
Step-by-step explanation:
To check whether the given functions are solutions the given differential equation, we differentiate the functions and then insert it into the given equation.
So y" - y = 0 and
Substituting these values of y and y" into the left hand side of the equation, we have
y" - y
Since L.H.S = R.H.S
So is a solution of the differential equation.
When
Substituting y and y" into the left hand side of the equation, we have
y" - y
Since L.H.S = R.H.S
So, is a solution of the differential equation.
So for the first question, you basically add up all of the sides. So it would be 3y+5+3y+1+2y+6+2y+3y-4+2y+2y+8+4y-2
To simplify that combine like terms so 17y+14
For the second part of the question, it's easy algebra.
Here's your problem 17y+14=77
To solve that get the variable by itself, subtract the constant, 14, from both sides.
17y+14 -14=77 -14
17y=63
Now divide each side by the coefficient, 17
y=3.71
I might be wrong in my math somewhere, but the method is the same... you might want to check it to make sure.
Answer:
the answer is b
Step-by-step explanation: