PLZ HELP ME SCHOOL IS RIGHT AROUND THE CORNER

Mathematics

2 answers:

Jobisdone [24]3 years ago

5 0

Rice vinegar is 1.5 units out of 1.5 + 5 = 6.5 units of vinegar. So in 17 ounces of the mixture, the amount of rice vinegar will be

$\dfrac{1.5}{6.5} \cdot 17 = 3.923...$

Answer: 3.9 ounces of rice vinegar

AnnZ [28]3 years ago

3 0

Quantity of rice vinegar= one and half parts of total

Quantity of cide vinegar = 5 parts of total

ratio of rice vinegar : cide vinegar = 1.5 :5

total quantity = 17 ounces

$quantity of rice vinegar = \frac{1.5}{6.5} * 17$

Quantity of rice vinegar = 3.92 ounces

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Inga [223]

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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:

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