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Doss [256]
3 years ago
10

On Tuesday an office supply store is sending a truck to pick up 150 desks. You need to tell the truck driver when to come to the

plant and which loading dock to use. When scheduling the pick-up, the following things need to be considered: It takes 30 seconds to load each desk at the dock. It takes an additional 10 minutes after all the desks are loaded to close the truck and complete the paperwork at the dock. The minimum amount of time that a dock can be scheduled for loading a truck is 20 minutes. Every minute a dock goes unused costs the company money. Where and when would you tell the truck driver to have the truck parked on Tuesday?
Mathematics
1 answer:
Arte-miy333 [17]3 years ago
7 0
It would take 85 minutes to load the desks, close the truck, and fill out the paper work. 150 desks×30 seconds=4500 seconds 4500 seconds/ 60 seconds in a minute=75 minutes 75 minutes+10 minutes= 85 minutes
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3 years ago
Show all work. <br><br>PLEASE HELP!!!!
34kurt
(a) Using the table, give the values fo rthe inverse


1) original table of values:


x      1     2     3    4    5

f(x)   0     1     1    5    3


2) The inverse of the function is obtained by exchanging x and f(x), this is:


                   ( x, f(x) ) → ( f(x), x)


3) So, the table of values of the inverse of the given function is:


x          0    1     1      5     3

f⁻¹ (x)   0     1     2     3     4


(b) Is the inverse a function?


No, the inverse is not a function, since the table of the inverse shows that the x -value 1 has two different images.


This ambigüity is opposite to the definition of a function, which requires that any input value has only one output. For that reason, the inverse is not a function. You cannot tell whether the image of 1 is 1 or 2, because both are images of the same value.
7 0
3 years ago
A die with six faces has the number 1 painted on three of its faces, the number 2 painted on 2 of its faces, and number 3 on one
salantis [7]

Answer:

a) S = {1, 2, 3}

b) P(odd number) = \frac{2}{3}

c) No

d) Yes

Step-by-step explanation:

a) The sample space is the set of all possible outcomes. By definition, the elements of a set should not be repeated. Hence, the sample space S = {1, 2, 3}

However, the sample is not equiprobable because each element has different probabilities.

b) P(odd number) = \frac{number of odd digits}{number of faces}=\frac{4}{6}=\frac{2}{3}

Note that the odd numbers are 1 (on three faces) and 3 (on one face).

c) The fact the die has been biased does not change the possible outcomes. It only changes the probability of getting any given number.

d) Because the 3-face has been loaded, this probability changes. In fact, it is calculated thus:

Let's assume the probability for 1 or 2 is x. Then that of 3 is 2x(because it is twice the others). The sum of probabilities must be 1.

x+x+x+x+x+2x=1

7x=1

x=\frac{1}{7}

P(odd number) = 3\timesProb(1) + Prob(3)

= 3\times\frac{1}{7}+\frac{2}{7} = \frac{5}{7}

7 0
3 years ago
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