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ahrayia [7]
3 years ago
7

What is 16.75 as a mixed number

Mathematics
1 answer:
Serjik [45]3 years ago
4 0
16 3/4 is the mixed number of 16.75
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Alice is baking a cake. She doesn’t intend to eat it, but tells you half of what you find is yours. She tells the same thing to
tankabanditka [31]

Answer: a) P = 0.5, b) P = 0.07

Step-by-step explanation:

Hi!

Lets call X₁ the time at which you arrive, and X₂ the time at which Bob arrives. Both are random variables with uniform density in the interval [0, 60] (in minutes). Their joint distribuition is uniform over the square in the image, with value P = 1/(60*60) = 1/3600.

a) For you to get more cake than Bob, you should arrive earlier. This event is A = { X₁ < X₂ }, the shaded triangle in the figure.The area of this event (set) is half the total area of the square, so P(A) = 0.5.

It makes sense, beacuse its equally probable for you or Bob to arrive earlier, as both have uniform density over the time interval.

b) In this case you arrive later than Bob, but less than 5 minutes later. So the event is B = { X₂ < X₁ < (X₂ + 5) } . This is the gray shaded area in b) part of the image. Its area is the difference two triangles (half square - blue triangle), then the probability is:

P(B) = 0.5 - \frac{(0.5*55^2)}{3600} =0.07

7 0
3 years ago
According to the graph, the first coordinate of which point is a negative number
kolbaska11 [484]

Answer:

Coordinate D. Because D lies on the 2nd quadrant, meaning that x has a negative value whereas y is positive.

3 0
3 years ago
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The bag has 2 yellow cubes, 5 green cubes, and 3 red cubes. Without replacing the yellow cube, what is the probability of select
laila [671]
32% chance of selecting red at random.
3 0
3 years ago
What is the factorization of the polynomial below?<br> 5x2 - 35x + 60
natita [175]

Answer:

5(x-3)(x-4)

Step-by-step explanation:

5x^2-35x+60

Start by factoring out a 5:

5(x^2-7x+12)

We need to find two integers that have a product of 12, and a sum of -7:

(-3)(-4)=12

-3-4=-7

We can split -7x into -3x and -4x

5(x^2-3x-4x+12)

Factor each half separately:

5[x(x-3)-4(x-3)]

Since x and -4 are both being multiplied by x-3, we can combine them:

5(x-3)(x-4)

7 0
2 years ago
What is the rule for the pair?
mylen [45]
2
to work it out just go output f (x) - input x so, 3 - 1 = 2 and double check this using your next equations 4 - 2 = 2
5 0
3 years ago
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