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zepelin [54]
3 years ago
7

Solve the following equation. 2/3x + 6 = 1/2x + 1/4x 2 6 14 2/5 72

Mathematics
1 answer:
Vladimir79 [104]3 years ago
5 0
Answer: 72
heyy, umm basically group like terms together. E.g. 6= 1/2x + 1/4x - 2/3x. Then, just solve for x e.g. 1/2 + 1/4 - 2/3 and use the answer to equal it to 6. Which should be 1/12x=6... pretty sure haha. Then divide. E.g.6/1/12 for x. In this case I got 72.. :)
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Kayla says that the point labeled C in the diagram below is the center. Raymond says that point C is the radius. A sphere. The c
liq [111]

Answer:

Kayla is correct; the center is a fixed point in the middle of the sphere.

Step-by-step explanation:

Kayla is correct. Raymond is wrong because a point cannot be a radius: a radius is a line segment from the center to the surface.

The center is the fixed point in the middle of the sphere.

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0.625

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3 years ago
Customers arrive at a restaurant according to a Poisson distribution at a rate of 20 customers per hour. The restaurant opens fo
jenyasd209 [6]

Answer:

0.087

Step-by-step explanation:

Given that there were 17 customers at 11:07, probability of having 20 customers in the restaurant at 11:12 am could be computed as:

= Probability of having 3 customers in that 5 minute period. For every minute period, the number of customers coming can be modeled as:

X₅ ~ Poisson (20 (5/60))

X₅ ~ Poisson (1.6667)

Formula for computing probabilities for Poisson is as follows:

P (X=ₓ) = ((<em>e</em>^(-λ)) λˣ)/ₓ!

P(X₅= 3) = ((<em>e</em>^(-λ)) λˣ)/ₓ! =  (e^-1.6667)((1.6667²)/3!)

P(X₅= 3) = (2.718^(-1.6667))((2.78)/6)

P(X₅= 3) = (2.718^(-1.6667))0.46

P(X₅= 3) = 0.1889×0.46

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P(X₅= 3) = 0.087

Therefore, the probability of having 20 customers in the restaurant at 11:12 am given that there were 17 customers at 11:07 am is 0.087.

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3 years ago
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