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romanna [79]
3 years ago
6

The ages of two brothers are in the ratio two to three, but in eight years, the ratio of their ages will be three to four. What

is the age of the younger brother?
16
18
24
Mathematics
1 answer:
grigory [225]3 years ago
8 0
3(3x+8)=4(2x+8)
9x+24=8x+32
x=8

2(8)=16
3(8)=24
 
that means that the younger brother is 16 years old 
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A bank in the Bay area is considering a training program for its staff. The probability that a new training program will increas
WITCHER [35]

Answer:

P(B' \cup A') = P((A \cap B)') = 1-P(A \cap B)= 1-0.32=0.68

See explanation below.

Step-by-step explanation:

For this case we define first some notation:

A= A new training program will increase customer satisfaction ratings

B= The training program can be kept within the original budget allocation

And for these two events we have defined the following probabilities

P(A) = 0.8, P(B) = 0.2

We are assuming that the two events are independent so then we have the following propert:

P(A \cap B ) = P(A) * P(B)

And we want to find the probability that the cost of the training program is not kept within budget or the training program will not increase the customer ratings so then if we use symbols we want to find:

P(B' \cup A')

And using the De Morgan laws we know that:

(A \cap B)' = A' \cup B'

So then we can write the probability like this:

P(B' \cup A') = P((A \cap B)')

And using the complement rule we can do this:

P(B' \cup A') = P((A \cap B)')= 1-P(A \cap B)

Since A and B are independent we have:

P(A \cap B )=P(A)*P(B) =(0.8*0.4) =0.32

And then our final answer would be:

P(B' \cup A') = P((A \cap B)') = 1-P(A \cap B)= 1-0.32=0.68

5 0
3 years ago
I wanna know an answer to this math problem I need help with9(p-4)=18 answer
Solnce55 [7]

Answer: y=6

Step-by-step explanation:

First distribute... 9p-36=18

then add 36 to the 18 to help isolate the variable..

9p=54

then to get the variable by itself divide 54 by 9 and get 6

7 0
3 years ago
Read 2 more answers
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