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AlladinOne [14]
1 year ago
8

The local hamburger restaurant is famous for how quickly they can assemble a burger. The restaurant advertises that its constant

rate of assembling burgers is t=11.3h, where t is the total amount of time in seconds and h is the number of hamburgers assembled

Mathematics
1 answer:
melisa1 [442]1 year ago
3 0

The gievn equation is ,

t=11.3h\ldots(1)

where t is the time in seconds and h is the no.of hamburgers assembled.

put h = 2 in equation (1).

\begin{gathered} t=11.3\text{ (2)} \\ t=22.6 \end{gathered}

blank A assembles 2 hamburges in 22.6 seconds.

put h = 3 in equation (1)

\begin{gathered} t=11.3(3) \\ t=33.9 \end{gathered}

blank B assembles 3 hamburgers in 33.9 seconds.

put h = 5 in equation (1)

\begin{gathered} t=11.3(5) \\ t=56.5 \end{gathered}

blank C assembles 5 hamburgers in 56.5 seconds.

put h = 8 in equation (1)

\begin{gathered} t=11.3(8) \\ t=90.4 \end{gathered}

blank D assembles 8 hamburgers in 90.4 seconds.

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Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.5
masya89 [10]

Answer:

z= \frac{3.44-2.54}{0.45}=2

P(X>3.44) = P(Z>2) = 0.025

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the grade points avergae of a population, and for this case we know the following properties

Where \mu=2.54 and \sigma=0.45

The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ). Broken down, the empirical rule shows that 68% falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).

So we can find the z score for the value of X=3.44 in order to see how many deviations above or belowe we are from the mean like this:

z= \frac{3.44-2.54}{0.45}=2

So the value of 3.44 is 2 deviations above from the mean, so then we know that the percentage between two deviations from the mean is 95% and on each tail we need to have (100-95)/2 = 2.5% , because the distribution is symmetrical, so based on this we can conclude that:

P(X>3.44) = P(Z>2) = 0.025

5 0
3 years ago
Replace * with a monomial in such a way, that the trinomial becomes a perfect square. *+12x+1
Mrrafil [7]

Answer: * = 36x^2

Note: Im guessing you're here for rsm struggles. That's how I found this question. I searched the web for the answer to this rsm problem, but I couldnt find it. I was happy to find this brainly link, but annoyed to find it was unanswered. I did the problem, and now i'll help future rsm strugglers out. Thanks for posting this question.

Step-by-step explanation:

Ok, so we know that trinomials like this are squares of binomials. this in mind, we know that it can also be written as (x+y)^2. (also brainly's exponents feature used to be better, if the exponents are confusing you, comment.) Using the (x+y)^2 equation, you know that by simplifying it, you get x^2+2xy+y^2. Basically we're looking for x^2. Using the middle term, 2xy, or 12x in this equation, we can find x. since we know the square root of 1 is 1, we know 12=2x. This is kinda confusing, but basically since the answer is 6, we know that the x-term is 6x. We square 6x and get 36x^2. guaranteed to work on the rsm student portal, i'm in rsm and i just answered this question.

Hope this helps! Also, im not usually too active on brainly unless im looking for HW answers, so if you understand this explanation and you see a confused comment, help out a friend and answer it. Happy holidays!

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2 years ago
What are two decimals close two 6.3
WITCHER [35]

Answer:

6.2 and 6.4

Step-by-step explanation:

I am right please like

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A tree broke 6 feet from the bottom. If the top landed 12 feet from the base, how tall was the tree before it broke?
spayn [35]

Answer:

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Step-by-step explanation:

7 0
3 years ago
Jason has x nickels and y dimes. He has no less than 15 coins worth a maximum of $1 combined. Solve this system of inequalities
Juli2301 [7.4K]

Answer:

x + y <u>></u> 15

10x + 5y <u><</u> 100

we will put it in terms of y

y <u>></u> 15 - x

and

5y <u><</u> 100 - 10x

y <u><</u> 20 - 2x

<u>-TheUnknownScientist</u>

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