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docker41 [41]
3 years ago
6

Eli was mixing blue paint and yellow paint in the ratio of 2:3 to make green paint.he wants to make 45 liters of green paint. He

began to make a table to make him think about problem,but is unsure of what to do next.
Explain in words how to continue to place values into the table?


Write an explanation in words to Eli about how He can use his table to find how many liters of blue paint and how many liters of yellow paint will he need o make 45 liters of green paint

Mathematics
1 answer:
liberstina [14]3 years ago
5 0

The ratio between the amount of blue and yellow paint needed to make green paint is 2: 3.

That is, for every 2 liters of blue paint you need 3 liters of yellow paint.

In the same way, for every 4 liters of blue paint, 6 liters of yellow paint are needed.

Then, to continue filling the table, you must consecutively sum 2 liters of blue paint and 3 liters of yellow paint in the corresponding column. This will increase the amount of green paint by a factor of 5 liters.


The same procedure is followed until 45 liters are summed to the green paint column. Then, the data in that row will indicate how much blue and yellow paint is needed:

18 liters of blue paint

27 liters of yellow paint

To verify the result divided 18/27

The result should be 0.6667 = 2/3, which is the ratio sought

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Answer:

a) correct option is

Poisson distribution is 6.2 and standard deviation is 2.49

b) probability for only 2 or less than 2  surgeries  in a given day is 0.0536

Step-by-step explanation:

Given data:

mean number is given as 6.2

correct option is

Poisson distribution is 6.2 and standard deviation is 2.49

we know that variance is given as\sigma^2 = mean = 6.2

hence, standard deviation is given as \sqrt{6.2} = 2.48998

thus standard deviation is 2.49

correct option is

Poisson distribution is 6.2 and standard deviation is 2.49

b) probability for only 2 or less than 2  surgeries  in a given day is

P(X \leq 2) = P(X =0) + P(X =1) + P(X =2)

                 = \frac{e^{-6.2} 6.2^0}{0!} +\frac{e^{-6.2} 6.2^1}{1!} +\frac{e^{-6.2} 6.2^2}{2!}

                 = 0.002029 + 0.012582+ 0.039006

                 = 0.053617

                = 0.0536

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-5.8 - (-8.4)

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So we take that -1 and multiply it by that -8.4. Multiplying 1 against anything leaves it the same, so we just need to change the sign. Two negatives make a positive. 

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This gives us our final answer of 2.6
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