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atroni [7]
3 years ago
6

Find the equation of a line passing through (-2,4) and ( 0,8)

Mathematics
1 answer:
Vlada [557]3 years ago
5 0
Eqn of line: y = mx + c
where m is the gradient and c is the y intercept
gradient = (8-4)/(0-(-2)) = 4/2 = 2
thus y = 2x + c
sub (0,8) into this eqn
8 = 2(0) + c
c = 8
eqn of line: y = 2x + 8
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larisa [96]

Answer:

a) P(X

P(X>14) = 1-P(X

b) P(7< X

c) We want to find a value c who satisfy this condition:

P(x

And using the cumulative distribution function we have this:

P(x

And solving for c we got:

c = 20*0.9 = 18

Step-by-step explanation:

For this case we define the random variable X as he amount of time (in minutes) that a particular San Francisco commuter must wait for a BART train, and we know that the distribution for X is given by:

X \sim Unif (a=0, b =20)

Part a

We want this probability:

P(X

And for this case we can use the cumulative distribution function given by:

F(x) = \frac{x-a}{b-a} = \frac{x-0}{20-0}= \frac{x}{20}

And using the cumulative distribution function we got:

P(X

For the probability P(X>14) if we use the cumulative distribution function and the complement rule we got:

P(X>14) = 1-P(X

Part b

We want this probability:

P(7< X

And using the cdf we got:

P(7< X

Part c

We want to find a value c who satisfy this condition:

P(x

And using the cumulative distribution function we have this:

P(x

And solving for c we got:

c = 20*0.9 = 18

3 0
3 years ago
Sales tax on an item is directly proportional to the cost of the item purchased. If the tax on a 600 item is 36, what is the sal
sdas [7]
The sales tax $950 item would be $57. Hope this helps!
6 0
3 years ago
Simplify the expression:<br> 1+4 (2x – 3) – 2
hichkok12 [17]

Answer:

-13 + 8x

your welcome :)

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A coin flipped 10 times and the results is recorded. What is the probability of getting at least 8 tails ?
DochEvi [55]

Answer: 0.0546875

Step-by-step explanation:

The number of times the coin landing head 8 out of 10 is simply:

C(10, 8)/2^10. At least 8 means, 8 or more. Since the events here are dependent on themselves the answer would be:

[ C(10, 8) + C(10, 9) + C(10, 10) ] / 2^10 = 56/1024 = 0.0546875

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3 years ago
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Answer:

teddy bear (Tb)

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