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ziro4ka [17]
3 years ago
10

Two walls and a ceiling of a room meet

Mathematics
1 answer:
Lelechka [254]3 years ago
6 0
The position of the fly is shown as cross in the diagram below

The distance of the fly from the ceiling is given as y 

We need to work out the distance x to be able to work out the value of y

by the Pythagoras theorem

x^{2} = 8^{2} + 1^{2}
x^{2} =65
x= \sqrt{65}

by Pythagoras theorem

y= \sqrt{9^{2}- ( \sqrt{65} )^{2} }
y = \sqrt{16} =4

The distance of the fly from the point P is 4m

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If A and B are independent events with P(A) = .5 and P(B) = .2, find the following:a) P(A U B)b) P(A^c ? B^c)c) P(A^c U B^c)**No
Effectus [21]

If A and B are independent, then P(A\cap B)=P(A)P(B).

a.

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

P(A\cup B)=0.5+0.2-0.5\cdot0.2

\boxed{P(A\cup B)=0.6}

b. I'm guessing the ? is supposed to stand for intersection. We can use DeMorgan's law for complements here:

P(A^c\cap B^c)=P(A\cup B)^c=1-P(A\cup B)

P(A^c\cap B^c)=1-0.6

\boxed{P(A^c\cap B^c)=0.4}

c. DeMorgan's law can be used here too:

P(A^c\cup B^c)=P(A\cap B)^c=1-P(A\cap B)=1-P(A)P(B)

P(A^c\cup B^c)=1-0.5\cdot0.2

\boxed{P(A^c\cup B^c)=0.9}

4 0
2 years ago
Fill in the table using this function rule.<br> y = 5x+4
olya-2409 [2.1K]
No idea man

Explanation: I don’t man I just wang pints
3 0
2 years ago
There was ¼ of a carton of ice cream for Michelle and her two friends to share. If they split the ice cream evenly among them, h
Alika [10]

Answer:

5

Step-by-step explanation:

hhhhhhhhhikbvfjbcdgnkkh

3 0
3 years ago
Leanne jumped a distance of 3 feet 8 inches. Monica jumped a distance of 4 feet 6 inches. How many more inches did Monica jump t
mote1985 [20]

Answer:

10 more inches

Step-by-step explanation:

6 0
2 years ago
5y+6=-3y + 54 please help me solve this step by step asap !
Olenka [21]

Answer:

6=y

Step-by-step explanation:

5y + 6 = -3y +54

isolate y

+3y

8y +6 =54

subtract 6 to isolate y.

8y = 48

divide by 8 so y is alone w no coefficient other than 1

y=6

5 0
3 years ago
Read 2 more answers
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