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pantera1 [17]
3 years ago
5

What is the P(A and B) given that P(A) = 0.53, P(B) = 0.39, and P(A or B) = 0.48

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
6 0

Answer:

P(A and B) = 0.44

Step-by-step explanation:

Venn probabilities:

Suppose that we have two events, A and B. The probability of A and B is:

P(A \cap B) = P(A) + P(B) - P(A \cup B)

In which P(A \cup B) is P(A or B).

In this question:

P(A) = 0.53, P(B) = 0.39, P(A \cup B) = 0.48

Then

P(A \cap B) = P(A) + P(B) - P(A \cup B) = 0.53 + 0.39 - 0.48 = 0.44

So

P(A and B) = 0.44

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3 0
3 years ago
a high school track teams long jump record is 21 feet and 2 1/4 inches. this year Tims best long jump is 20 feet and 9 1/2 inche
Alex787 [66]

Answer:

4.75 inches.

Step-by-step explanation:

We must introduce the symbols for inches and feet.

Here we will use, x' = x feet and x" = x inches

A high school track teams long jump record is 21 feet and 2\dfrac{1}{4} inches i.e. 21'2.25" this year.

Now, Tim's best long jump is 20 feet and 9\dfrac{1}{2} inches i.e. 20'9.5".

So, the difference between the record jump and Tim's best jump is

(21'2.25" - 20'9.5")

= (21'2.25" - 21') + (21' - 20'9.5")

= 2.25" + 2.5" {Since, 1' = 12" i.e. 21' = 20' 12"}

= 4.75"

Therefore, Tim has to jump 4.75 inches farther to break the record. (Answer)

3 0
3 years ago
Suppose you work for a large coffee distribution that has a secret coffee blend it sells to local stores. Gazebo blend with Kona
KATRIN_1 [288]

Answer:

12 Pounds

Step-by-step explanation:

The proportion of the secret blend is 90/27. When there is only 40 pounds of gazebo, your proportion looks like this:  40/X. X being pounds of Kona. When you are to simplify 90/27 you're left with 10/3. Cross multiply 10/3 and 40/X to and simply to get 10x = 120, leaving you with 12 as your final answer. Hope this explanation helps.

8 0
3 years ago
In a café, I order a cup of tea and a piece of cake and it costs £1.10. The next time I order 2 cups of tea and one piece of cak
defon

Answer:

£0.50

Step-by-step explanation:

t = one cup of tea

c = one piece of cake

t + c = £1.10

2t + c = £1.70

the cost increases by £0.60 (£1.70 - £1.10) when you order one more cup of tea which means that one cup of tea costs £0.60

substitute £0.60 into t + c = £1.10

£0.60 + c = £1.10

rearrange to get c = £1.10 - £0.60 = £0.50

so one piece of cake costs £0.50

7 0
3 years ago
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