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Nuetrik [128]
3 years ago
12

Question 12 (1 point) Given P(A) 0.34, P(A and B) 0.27, P(A or B) 0.44, what is P(B)? Answer in decimal form. Round to 2 decimal

places as needed. Your Answer: Answer
Mathematics
1 answer:
Tema [17]3 years ago
6 0

Answer:  The required probability of event B is P(B) = 0.37.

Step-by-step explanation:  For two events A and B, we are given the following probabilities :

P(A) = 0.34,    P(A ∩ B) = 0.27   and   P(A ∪ B) = 0.44.

We are to find the probability of event B, P(B) = ?

From the laws of probability, we have

P(A\cup B)=P(A)+P(B)-P(A\cap B)\\\\\Rightarrow 0.44=0.34+P(B)-0.27\\\\\Rightarrow 0.44=0.07+P(B)\\\\\Rightarrow P(B)=0.44-0.07\\\\\Rightarrow P(B)=0.37.

Thus, the required probability of event B is P(B) = 0.37.

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A submersible vessel at an elevation of -75 feet to 5 times that elevation what is the vessel’s new elevation
liubo4ka [24]

Answer:

375 ft

Step-by-step explanation:

you just multiply it times 5

6 0
3 years ago
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Find the solution in slope-intercept form y+7=-3(x-1) and 3x+y=-4
Svetach [21]

Answer:

The slope intercept form of both given equations is : y =  - 3 x - 4.

Step-by-step explanation:

Here, the given equations are:

y +7 = -3 ( x - 1 )

and 3 x + y = - 4

Now,the SLOPE INTERCEPT FORM of any given equation is given as:

y = m x + C : here, C = Y - intercept, m = Slope

Consider equation (1):

y +7 = -3 ( x - 1 )    ⇒ y + 8 = - 3 x  + 3

or, y = -3x + 3 - 7 = -3x - 4

 ⇒ y =  -3x  -4

Hence, the slope-intercept form of the given equation is y =  -3x  -4.

Consider equation (2):

3 x + y = - 4    ⇒ y  = -4  - 3 x

 ⇒ y =  -3 x  - 4

Hence, the slope-intercept form of the given equation is y =  -3x  -4.

6 0
3 years ago
Toby wants to buy 2 concert tickets that cost $19 each. His makes $4.75 an hour while he mows lawns. How many hours will he need
nikitadnepr [17]
Cost of a ticket = $19
So, cost of two tickets = 19 * 2 = $38

Now, he makes, $4.75 in an hour.
Let, the number of hours for that much money = x

It would be: 4.75x = 38
x = 38 / 4.75
x = 8 hours

In short, Your Answer would be 8 hours

Hope this helps!
8 0
3 years ago
A credit card company uses these rules to calculate the minimum amount owed: For a bill of less than $100, the entire amount is
Mashutka [201]

Answer:

B. graph B

Step-by-step explanation:

The graphs of A,B,C and D are attached below.

Let x represent the credit amount  and y represent the minimum amount due.

For a bill of less than $100, the entire amount is due. That is for 0 ≤ x < $100, y = x

For a bill of at least $100 but less than $500, the minimum due is $100. That is for $100 ≤ x < $500, y = 100

For a bill of at least $500 but less than $1,000, the minimum due is $300. That is for $500 ≤ x < $1000, y = $300

For a bill of $1,000 or more, the minimum due is $500. But the credit limit is $2000. That is For $1000 ≤ x < $2000, y = $500

The graph that shows the minimum amount due for a credit amount of x  is graph B

3 0
3 years ago
Determine if John's wages are proportional to time. If they are, determine the unit rate y/x. If not, explain why not.
Paladinen [302]

Answer:

- Student cannot determine proportionality because there is no y-intercept.

- Table and graph do not match

  (Student does not realize they are based on two different people)

- Student computes x/y and not y/x (Ex. 3/27 or 2/18)

Step-by-step explanation:

-May not be able to determine Unit rate because (1, r) does not exist on the table.

-May answer “18” because it is the first point on the table.

-Unable to determine relationship between x and y values

7 0
2 years ago
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