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babunello [35]
3 years ago
11

Events A and B are independent. The probability of A given B has occurred is 0.43, and the probability of B given A has occurred

is 0.35.
What is the probability, to the nearest hundredth, that A and B occur?
Mathematics
1 answer:
Fofino [41]3 years ago
4 0

Answer:

0.43* 0.35 = 0.1505 or 0.15 after rounding

Step-by-step explanation:

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Show that cos2x=cosx
PSYCHO15rus [73]

cos (2x) = cos x

2 cos^2 x -1 = cos x   using the double angle formula

2 cos ^2 x -cos x -1 =0

factor

(2 cos x+1) ( cos x -1) = 0

using the zero product property

2 cos x+1 =0    cos x -1 =0

2 cos x = -1       cos x =1

cos x = -1/2       cos x=1

taking the arccos of each side

arccos cos x = arccos (-1/2)         arccos cos x = arccos 1

x = 120 degrees   x=-120   degrees           x=0

remember you get 2 values ( 2nd and 3rd quadrant)

these are the principal values

now we need to add 360

x = 120+ 360n      x=-120+ 360n      x = 0 + 360n  where n is an integer


3 0
3 years ago
The weekly ad for a local grocery store advertises a 5 pound bag of organic apples for $13.95. Round each rate to the nearest hu
stich3 [128]

Answer:

Step-by-step explanation:

Given that in the weekly ad 5 pound bag of organic apples will cost 13.95 dollars

To find unit rate

Unit rate can be found in two ways either cost of 1 apple or no of apples for 1 dollars

I part:

5 apples = 13.95 dollars

1 apple = 13.95/5 (since direct variation)

Unit rate for one apple= 2.79 dollars

Part II:

13.95 dollars = 1 apple

1 dollar = 1/13.95 = 0.071

=0.07

But normally since apples are countable as 1,2 ... we use the first type of rate only unit rate per apple

6 0
3 years ago
Find a number that is 6 less than ,3 divided by 5
djverab [1.8K]

Answer:

-3.06

Step-by-step explanation:

3-6=-3

-3/5=-0.6

6 0
3 years ago
Read 2 more answers
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Dmitriy789 [7]
X (adult)= 130 
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5 0
3 years ago
A sphere has a radius of 6 meters. A second sphere has a radius of 3M. What is the difference of the volumes of the Spheres?
Georgia [21]

Answer:

the answer that I got is 867 3/7

Step-by-step explanation:

the formula to find the volume of a sphere is 4/3 pi r³. just find the volume of both the spheres separately and minus them.

4 0
3 years ago
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