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Vadim26 [7]
3 years ago
9

Angles 4 and 5 form what type of angles?

Mathematics
1 answer:
VashaNatasha [74]3 years ago
3 0

Answer:

Vertical angles

Step-by-step explanation:

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Dennis has 9.5 weeks to prepare for a bike tour If he rides 8.2 miles each week how many miles will he ride before the bike tour
emmasim [6.3K]
If you have to show your work...

8.2 x 9.5 

    8.2
 x 9.5
-----------
     410
+ 7380
-----------
   7,790 miles

hoped this helped.
6 0
3 years ago
Ray had 60 football cards last year.This year he has 200. Find the percent of change
bulgar [2K]

Answer:70%

Step-by-step explanation: no. of cards last year=60

no. of cards presently=200

increase in no. of cards=200-60

                                        =140

%change=140/200 x 100

7 0
3 years ago
There are three power plants [X, Y, Z] that at any given time each one either generates electricity or idles. Event A is that pl
insens350 [35]

We're told that

P(A\cap B)=0.15

P(A\cup B)^C=0.06\implies P(A\cup B)=0.94

P(B\mid A)=P(B^C\mid A)=0.5

where the last fact is due to the law of total probability:

P(A)=P(A\cap B)+P(A\cap B^C)

\implies P(A)=P(B\mid A)P(A)+P(B^C\mid A)P(A)

\implies 1=P(B\mid A)+P(B^C\mid A)

so that B\mid A and B^C\mid A are complementary.

By definition of conditional probability, we have

P(B\mid A)=P(B^C\mid A)

\implies\dfrac{P(A\cap B)}{P(A)}=\dfrac{P(A\cap B^C)}{P(A)}

\implies P(A\cap B)=P(A\cap B^C)

We make use of the addition rule and complementary probabilities to rewrite this as

P(A\cap B)=P(A\cap B^C)

\implies P(A)+P(B)-P(A\cup B)=P(A)+P(B^C)-P(A\cup B^C)

\implies P(B)-[1-P(A\cup B)^C]=[1-P(B)]-P(A\cup B^C)

\implies2P(B)=2-[P(A\cup B)^C+P(A\cup B^C)]

\implies2P(B)=[1-P(A\cup B)^C]+[1-P(A\cup B^C)]

\implies2P(B)=P(A\cup B)+P(A\cup B^C)^C

\implies2P(B)=P(A\cup B)+P(A^C\cap B)\quad(*)

By the law of total probability,

P(B)=P(A\cap B)+P(A^C\cap B)

\implies P(A^C\cap B)=P(B)-P(A\cap B)

and substituting this into (*) gives

2P(B)=P(A\cup B)+[P(B)-P(A\cap B)]

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

\implies P(B)=0.94-0.15=\boxed{0.79}

8 0
3 years ago
1
Bogdan [553]

Answer:

3 gallons of orange juice

8 0
3 years ago
Read 2 more answers
Can someone please help me?
Sever21 [200]

Answer:

B.

Step-by-step explanation:

The problem is saying 2/5 squared by -2 times -3 multiplied by itself 4 times.

2/5 multiplied by itself -2 times looks like this: -2/5 times -2/5.

-3 multiplied by itself 4 times looks like this: -3 times -3 times -3 times -3.

Put the two together and it looks like B.

4 0
3 years ago
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