Answer:
Step-by-step explanation:
they want to know a point on the line... that has a gradient ( think slope ) of -1/3 and has the point of (-2,5) on it. So find the formula for that line
with the point slope formula y-y1 = m(x - x1)
plug in what we know
y - 5 = - 1/3 (x -(-2))
y - 5 = -1/3(x+2)
y - 5 = -1/3x - 2/3
y = - 1/3x - 2/3 + 5
y = - 1/3x + 4 1/3
y = -1/3x + 13 / 3
Now use your formula to find any new point plug in 1 for x ( b/c it's easy)
y = 12/3 when x= 1. so ( 1, 4 ) is another point on the line :)
don't forget to show your work :P
Answer:
Step-by-step explanation:
Follow the following steps
Probability of getting a red marble: 3/10
probability of getting a blue marble (after removing a red marble): 2/9
multiply the two fractions together:
6/90
simplify (divide by 6): 1/15 or .06666 repeating
For zeroes/roots r1,r2, r3
the facors of the polynomial is
(x-r1)(x-r2)(x-r3)
roots
-3,2,5
(x-(-3))(x-2)(x-5)
(x+3)(x-2)(x-5)
the coefient of the x term is -4
so mutliply the whole thing by 2
(2)(x+3)(x-2)(x-5)
expand
f(x)=2x^3-8x^2-22x+60
Answer:
The probability is 0.000000207176
Step-by-step explanation:
In this question, we are asked to calculate the probability that if 6 cards are selected from a deck of cards, we will be having 4 kings and 2 queens.
Before we answer, we should understand that in a deck of cards, there are 4 queens and 4 kings. The probability of selecting a king is the same as the probability of selecting a queen which is 4/52 = 1/13
Okay now we want to find the probability of the six cards being 4 kings and 2 queens. Since the probabilities are equal, we proceed to calculate at the same time.
That would be (1/13)^6 = 0.000000207176
The probability of selecting 4 kings and 2 queens is 0.000000207176
