Answer:
<em>Standard deviation for the number of people with the genetic mutation = 4.178</em>
Step-by-step explanation:
<u><em>Explanation</em></u>:-
Given random sample size 'n' =600
proportion of the Population 'p'=3% or 0.03
Let 'X' be the random variable in binomial distribution
Mean of the binomial distribution
μ = n p
= 600 X 0.03
= 18
<em>Mean of the binomial distribution ' μ ' =18</em>
<em>Standard deviation of the binomial distribution</em>
<em> σ = </em>
<u><em>Conclusion:</em></u><em>-</em>
<em>Standard deviation for the number of people with the genetic mutation = 4.178</em>
Answer:
49/8 is the value of k
Step-by-step explanation:
We have the system
x = -2y^2 - 3y + 5
x=k
We want to find k such that the system intersects once.
If we substitute the second into the first giving us k=-2y^2-3y+5 we should see we have a quadratic equation in terms of variable y.
This equation has one solution when it's discriminant is 0.
Let's first rewrite the equation in standard form.
Subtracting k on both sides gives
0=-2y^2-3y+5-k
The discriminant can be found by evaluating
b^2-4ac.
Upon comparing 0=-2y^2-3y+5-k to 0=ax^2+bx+c, we see that
a=-2, b=-3, and c=5-k.
So we want to solve the following equation for k:
(-3)^2-4(-2)(5-k)=0
9+8(5-k)=0
Distribute:
9+40-8k=0
49-8k=0
Add 8k on both sides:
49=8k
Divide both sides by 8"
49/8=k
Answer:
25 minutes
Step-by-step explanation:
First you subtract the original amount on the card from the remaining amount left.
So you can get the amount of money spent on that call.
$15 - $13.50 = $1.50
Then you divide that number by how much it cost per minute.
$1.50 ÷ 6 = 0.25
Then you get your answer!
She was on the phone for 25 minutes
Answer:
0.8
Step-by-step explanation:
you divide both sides by 3.75 (because its multiplied) so the 3.75 connected to the x cancels out and your left with x on the left and 3 over 3.75 equals 0.8 so its x = 0.8
