Answer: x = {+-sqrt(3), +-2*sqrt(3)}.
Step-by-step explanation:
(x^2 - 8)^2 + (x^2 - 8) = 20
▪︎ Let (x^2 - 8) be y.
Then,
y^2 + y = 20
y^2 + y - 20 = 0
D = b^2 - 4ac = 1 + 20*4 = 81 = 9^2
y1 = (-b - sqrt(D))/(2a) = (-1 - 9)/2 = -10/2 = -5
y2 = (-b + sqrt(D))/(2a) = (-1 + 9)/2 = 8/2 = 4
1) x^2 - 8 = -5
x^2 = 8 - 5
x^2 = 3
x = +-sqrt(3)
2) x^2 - 8 = 4
x^2 = 8 + 4
x^2 = 12
x = +-sqrt(12)
x = +-2*sqrt(3)
Let
be the random variable representing the number of genes that do get mutated. Here
denotes a binomial distribution with parameters
(total number of genes) and
(probability of mutation).
Then the probability that *at most* 4 genes get mutated is
where
You should find that
Answer:
Step-by-step explanation:
Equation 1
Let's solve for x
3x -5y = -5
Step 1: add 5y to both sides.
3x - 5y + 5y = -5 + 5y
3x = 5y - 5
Step 2: Divide both sides by 3
3x divide by 3 = 5y - 5 divide by 3
x = 5/3y + -5/3
Answer:
x = 5/3y + -5/3
<h2>
Answer:</h2>
<h2>
Step-by-step explanation:</h2>
For a better understanding of this problem, see the figure below. Our goal is to find 
. Since:
and is a common side both for ΔMRN and ΔMQN, then by SAS postulate, these two triangles are congruent and:
By Pythagorean theorem, for triangle NQP:
Applying Pythagorean theorem again, but for triangle MQN:
Answer:
2/3 - 1/4
=> taking L.C.M of the denominators we get,
=> 8/12-3/12
=> 5/12 is left with her,, ;)
HOPE THIS HELPS YOU...;)
