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Minchanka [31]
3 years ago
6

As a part of a customer loyalty program, a restaurant's computer chooses orders at random to receive a free appetizer. Each orde

r has a 1 in 18 chance of receiving a free appetizer. (Each order is limited to one free appetizer.) Let X be the number of orders the restaurant fills in a day until they give away the first appetizer. Assume that each order getting the appetizer is independent. Find the probability that the restaurant first gives away an appetizer on the 6th order of the day. You may round your answer to the nearest hundredth
Mathematics
1 answer:
4vir4ik [10]3 years ago
3 0

Answer:

0.0417 this is the answer if you on khan academy... they gave me this answer and  yes it's correct

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Mya was given the following reduction of a rectangle.
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Mya only used the dimensions from the scale drawing of a rectangle

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Dakota makes a salad dressing by combining 6 1/3 fluid ounces of oil and 3 3/8 fluid ounces of
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6 11/24

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3 years ago
A motorboat takes 5 hours to travel 100mi going upstream. The return trip takes 2 hours going downstream. What is the rate of th
Temka [501]
The boat went 5hours upstream, let's say it has a "still water" speed rate of "b", it went 100miles... however, going upstream is going against the current, let's say the current has a speed rate of "c"

so, when the boat was going up, it wasn't really going "b" fast, it was going " b - c " fast, because the current was eroding speed from it

now, when coming down, the return trip, well the length is the same, so the distance is also 100miles, it only took 2hrs though, because, the boat wasn't coming down  "b" fast, it was coming down " b + c " fast, because the current was adding speed to it, so it came down quicker

now, recall your d = rt, distance = rate * time

\bf \begin{array}{lccclll}
&distance&rate&time\\
&-----&-----&-----\\
upstream&100&b-c&5\\
downstream&100&b+c&2
\end{array}
\\\\\\
\begin{cases}
100=(b-c)5\\
\qquad \frac{100}{5}=b-c\\
\qquad 20=b-c\\
\qquad 20+c=\boxed{b}\\
100=(b+c)2\\
\qquad 50=b+c\\
\qquad 50=\boxed{20+c}+c
\end{cases}

solve for "c", to see what's the current's speed

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4 0
3 years ago
An investigative bureau uses a laboratory method to match the lead in a bullet found at a crime scene with unexpended lead cartr
Basile [38]

Answer / Step-by-step explanation:

In this exercise, we know that the agency collected 1,829 bullets which according to the agency, all came from different source.

The number of pair of bullet is :

         (1,829) = 1, 829 ! / 2! ( 1,829 - 2 ) = 1, 829 x 1,828 x 1827 ! / 2 x 1 x 1,827

          (   2   )

                   = 6, 108,413,724 / 3654

                   = 1671,706.

Also, we know that the agency found 658 matches. According to this, the chance of false positive ( that is, the agencies find a match but the bullets are from two different source ) is

   P (False positive ) = 658 / 671,706

                                   = 0.000979.

The probability is small to an extent, therefore, we should have confidence in the agency forensic report and evidence

6 0
3 years ago
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