Q and R are not mutually exclusive events. If P(Q)=5/8 and P(R)=1/8 and P(Q and R)=1/32,Find P(q or R)

2 answers:

8 0

The solution for this problem is just adding and subtracting fractions. We all know how to add and subtract function because our teacher since high school teach us how to. P(Q or R) = P(Q) + P(R) - P(Q and R) = 5/8 + 1/8 - 1/32 = 23/32

The answer to this question is 23/32.

amm18123 years ago

7 0

Given that the events are not mutually exclusive the union of the probability of the events is calculated through the equation,

P(Q or R) = P(Q) + P(R) - P(Q and R)

Substituting the known values,

P(Q or R) = 5/8 + 1/8 - 1/32

Simplifying,

P(Q or R) = 23/32

The answer to this item is 23/32.

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3. Given Q = (-1,4) and P = (-2,-2), find QP.

astra-53 [7]

Step-by-step explanation:

QP=P-Q

QP=(-2,-2)-(-1,4)

QP=(-1,-6)

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2 years ago

ANYONE GOOD AT MATH NEED HELP

lesantik [10]

Answer:

*I just learned that in probability if a question has 'and' it means you multiply and if it has 'or' it means you add*

1a) 1/6

There are two numbers greater than four (5 and 6). There are 6 possible numbers you can get, so the fraction would be 2/6, or simplified would be 1/3. There are two options you can get when flipping a coin, so the chance of getting a head is 1/2. This is an 'and' problem so multiply 1/3•1/2 and you get 1/6.

1b) 1/4

There are 3 even numbers (2, 4, and 6), so the probability would be 3/6 or simplified to 1/2. The chance of landing on a tail is also 1/2, as there are two possible options. This is an 'and' problem so multiply 1/2•1/2 and you get 1/4.

2) 1/8

Write out your possible results: HHH, HHT, HTH, THH, HTT, THT, TTH, TTT.

3a) 1/8

There are 4 shirt options to choose from. The chance of picking blue is 1/4. There are 2 pant options. The chance of picking black is 1/2. This is an 'and' problem, so multiply 1/4•1/2 and you get 1/8.

3b) 1/4

There are 4 shirt options to choose from. This is an 'or' problem because he can choose an orange shirt OR a red shirt. The probability of picking an orange shirt is 1/4 and the probability of picking a red shirt is 1/4. 'Or' means you use addition so add 1/4+1/4 and you get 2/4 or simplified is 1/2. There are 2 pant options to choose from, so the probability of choosing brown pants is 1/2. Now, this is an 'and' problem, so multiply 1/2•1/2 and you get 1/4.

6 0

2 years ago

If $3000 is deposited in an account that pays 5% interest, what is the difference in the amount after 4 years between the amount

monitta

If the interest is compounded annually, then
A = P*(1+r/n)^(n*t)
A = 3000*(1+0.05/1)^(1*4)
A = 3646.51875
which rounds to 3646.52
Call this value x, so x = 3646.52
-----------------------------------
If the interest is compounded using simple interest, then
A = P*(1+r*t)
A = 3000*(1+0.05*4)
A = 3600
Call this value y, so y = 3600
-----------------------------------
Now subtract x and y
x-y = 3646.52-3600 = 46.52
-----------------------------------
Therefore the answer is choice C) $46.52

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3 years ago

A 14-foot piece of string is cut into two pieces so that the longer piece is 2 feet longer than twice the shorter piece. If the

Maurinko [17]

We are given that the shorter piece is x
From your description, the longer piece is 2x + 2
The total length is
x + 2x + 2 = 14
ie
3x + 2 = 14
3x = 12
x = 4

So the length of the shorter piece is 4 ft
Therefore the length of the longer piece must be
(14 - 4) ft = 10 ft

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2 years ago

Read 2 more answers

Let's say we have a square whose sides all measure 14 inches. Determine to two decimal places the dimensions of the square that

Paha777 [63]

The square measures 14 by 14
so the area = 14 x 14 = 196 square inches

Double the area:
196 x 2 = 392 square inches

To find one side of the square:
$\sqrt{392}$ = 19.80 inches (2 d.p.)

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3 years ago