Answer:
A
Step-by-step explanation:
Answer:
P(C/R) = 0.4298
Step-by-step explanation:
Missing word <em>"arble, what is the chance it came from box Type C? (Give the decimal answer rounded to at least four places
)"</em>
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Solution:
Given that P(A) = 75% = 0.75
P(B) = 20% = 0.20
P(C) = 0.05
The chance of drawing a Red marble fro,
P(R/A) = 2% = 0.02
P(R/B) = 25% = 0.25
P(R/C) = 98% = 0.98
If he select Box A than the probability of Red marble drawing
= P(A) * P(R/A)
= 0.75 * 0.02
= 0.015
If he select Box B than the probability of Red marble drawing
= P(B) * P(R/B)
= 0.20 * 0.25
= 0.5
If he select Box C than the probability of Red marble drawing
= P(C) * P(R/C)
= 0.98 * 0.05
= 0.049
So total probability of drawing Red marble is
P(R) = 0.015 + 0.050 + 0.049
P(R) = 0.114
If the Contestant draw a Red marble. Probability that it comes from box type (C) using Boyes theorem is
P(C/R) = {P(C) * P(R/C)} / P(R)
P(C/R) = 0.049 / 0.114
P(C/R) = 0.429824
P(C/R) = 0.4298
you need to expand the bracket so you will get
Answer:
ƒ(x) = 3(4x - 1)(3x + 2)
Step-by-step explanation:
Your function is: ƒ(x) = 36x² + 15x - 6
1. Remove the common factor
36x² + 15x - 6 = 3(12x² + 5x - 2)
2. Factor the quadratic
(a) Multiply the leading coefficient and the constant
12 × (-2) = -24
(b) Find two numbers that multiply to give -24 and add to give 5.
Possible pairs are 1, 24; 2, 12; 3, 8; 4, 6
One of the numbers must be negative. Start with the numbers near the end of the list.
By trial and error, you will find that 8 and -3 work:
-3 × 8 = -24 and -3 + 8 = 5
(b) Rewrite 5x as -3x + 8x
12x² - 3x + 8x - 2
(c) Factor by grouping the first two and the last two terms
(3x)(4x - 1) + 2(4x - 1) = (4x + 1)(3x + 2)
ƒ(x) = 3(4x -1)(3x + 2)
This is the correctly factored form that you can use to find the zeros.