3rd one
Reason:
Point slope formula: y-y1=m(x-x1)
y1=-4
x1=1
m=1/2
Put it all together and you get a final answer of:
y-(-4)=1/2(x-1)
two negatives make one positive
so,
final answer:y+4=1/2(x-1)
Answer:
13 1/3 and 6 2/3.
Step-by-step explanation:
Let the 2 parts be x and (20 - x).
So x^2(20 - x) must be a maximum.
y = x^2(20 - x)
y = 20x^2 - x^3
Finding the derivative):
y' = 40x - 3x^2 = 0 for maxm/minm value.
x( 40 - 3x) = 0
40 - 3x = 0
3x = 40
x = 40/3.
This is a maximum because the second derivative y" = 40 - 6x = 40 - 6(40/3)) is negative.
So the 2 numbers are 13 1/3 and 6 2/3.
Answer:
3sqrt(2) ................
Answer:
289/290
Step-by-step explanation:
Given that the chance of Donnell being selected is 1/290
then P( Donnell being selected )= 1/290
Since Donnell and Maria are both member of a population.
from probability theorem which gives the likely hood of an event to happen which cannot be more than 1, then the probability of Donnell and Maria to be selected is 1
P(Donnell and Maria)= 1
But the chance of Donnell being selected is 1/290
Then,
1/290 + P(Maria)= 1
P(Maria)= 1-(1/290)
= 289/290
the chance of Maria being selected is 289/290
Answer:
4989600
Step-by-step explanation:
The given word is MATHEMATICS
Number of letters in the given word is 11
there are 2 M's, 2 A's and 2 T's
the given word is arranged in 11! ways
three letters are repeating, so we divide by repeating occurrences
number of different arrangements =
= 4989600
