Khan academy question. Please help!

How does an indirect proof differ from a regular proof ?

ss7ja [257]

Answer:

Regular proof is all about known facts that is for e.g X must be true, while in indirect proof you assume X is true

3 0

3 years ago

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In a certain computer, the probability of a memory failure is 0.01, while the probability of a hard disk failure is 0.02. If the

ratelena [41]

Answer:

We need to remember that we have independent events when a given event is not affected by previous events, and we can verify if two events are independnet with the following equation:

$P(A \cap B) = P(A) *P(B)$

For this case we have that:

$P(A) *P(B) = 0.01*0.02= 0.0002$

And we see that $0.0002 \neq P(A \cap B)$

So then we can conclude that the two events given are not independent and have a relationship or dependence.

Step-by-step explanation:

For this case we can define the following events:

A= In a certain computer a memory failure

B= In a certain computer a hard disk failure

We have the probability for the two events given on this case:

$P(A) = 0.01 , P(B) = 0.02$

We also know the probability that the memory and the hard drive fail simultaneously given by:

$P(A \cap B) = 0.0014$

And we want to check if the two events are independent.

We need to remember that we have independent events when a given event is not affected by previous events, and we can verify if two events are independnet with the following equation:

$P(A \cap B) = P(A) *P(B)$

For this case we have that:

$P(A) *P(B) = 0.01*0.02= 0.0002$

And we see that $0.0002 \neq P(A \cap B)$

So then we can conclude that the two events given are not independent and have a relationship or dependence.

8 0

2 years ago

On a bicycle trail, the city is painting arrows like the one shown below: Upper pointing arrow with height of 15 and length of 1

Luden [163]

Answer:

229.5 $cm^{2}$

Step-by-step explanation:

In order to calculate the area of the arrow we need to calculate the area of the body of the arrow, and then the head of the arrow. The body of the arrow is a rectangle meaning that the area (Ar) can be calculated by multiplying the length by the height like so...

Ar = l * h

Ar = 11cm * 12cm

Ar = 132 $cm^{2}$

Now we need to find the area of the head of the arrow, which is a triangle and therefore we can use the formula for the area of a triangle (At) which is height times base divided by 2...

At = $\frac{h * b}{2}$

At = $\frac{15cm * 13cm}{2}$

At = $\frac{195cm^{2} }{2}$

At = 97.5 $cm^{2}$

Now we simply add both areas together to calculate the total area of the arrow...

132 $cm^{2}$ + 97.5 $cm^{2}$ = 229.5 $cm^{2}$

6 0

3 years ago

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How many gallons of water could a 5 feet by 2 feet by 2 feet aquarium hold? How much the 150 gallons of water would weigh?

Marianna [84]

Answer:

V = (5 feet) (2 feet) (2 feet) V = 20 cubic feet To convert the volume into gallons, multiply the above answer by 7.48 since there are 7.48 gallons of water in one cubic foot. This will give us an answer of 150 gallons of water.

Step-by-step explanation:

4 0

1 year ago

Solve For H ---I> A=1/2(B₁+B₂)h

Alex

Answer:

h = 2A/(B₁+B₂)

Step-by-step explanation:

<u>Given equation</u>

A=1/2(B₁+B₂)h

<u>Solving for h</u>

A=1/2(B₁+B₂)h
2A = (B₁+B₂)h
2A/(B₁+B₂)= h
h = 2A/(B₁+B₂)

3 0

2 years ago