Let x= small number
x+17= larger
add them since together they equal 61
x+x+17=61
combine like terms
2x+17=61
2x= 44
divide by 2
x=22 which is the small number
22+17= 39 which is the larger number
hope this helps
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
Answer:
E. 1/2
Step-by-step explanation:
Divide by 2, then make use of the Pythagorean identity for sine and cosine.
sin(x)^2 +cos(x)^2 = 2a
1 = 2a . . . . . . . sin²+cos²=1
1/2 = a
$9 divided by 5 = 1.8
A pound of avocados is $1.80
Let n represent a number
then, n+2 represents the next even number
n + (n+2) = 94
(basically multiplying (n+2) by + 1)
n + n+ 2
2n+2= 94
2n +2 -2 = 94 -2
2n = 92
n = 46
therefore,
n+ 2
= 46+ 2
= 48
Check:
48 + 46 = 84
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