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1 year ago

2(7x+3-x) i need help

Mathematics

1 answer:

Neko [114]1 year ago

3 0

Answer:

See explanation.

Step-by-step explanation:

I'm assuming your question is to simplify the given expression. I will work that problem and also I will solve for x just in case that's your question instead.

Step 1: Simplify inside parenthesis

7x + 3 - x = 6x + 3

Step 2: Multiply simplified expression by number outside parenthesis

2 * (6x+3) = 2*6x + 2*3

12x + 6

Simplification is done after this step.

Step 3 (unnecessary if the problem is to simplify the expression): Solve

12x + 6 = 0

12x = -6

x = -1/2

Since there was no term given on the other side of the equal sign, I assumed that term was zero.

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Suppose that X has a Poisson distribution with a mean of 64. Approximate the following probabilities. Round the answers to 4 dec

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(a) The probability of the event (X > 84) is 0.007.

(b) The probability of the event (X < 64) is 0.483.

Step-by-step explanation:

The random variable X follows a Poisson distribution with parameter λ = 64.

The probability mass function of a Poisson distribution is:

$P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!};\ x=0, 1, 2, ...$

(a)

Compute the probability of the event (X > 84) as follows:

P (X > 84) = 1 - P (X ≤ 84)

$=1-\sum _{x=0}^{x=84}\frac{e^{-64}(64)^{x}}{x!}\\=1-[e^{-64}\sum _{x=0}^{x=84}\frac{(64)^{x}}{x!}]\\=1-[e^{-64}[\frac{(64)^{0}}{0!}+\frac{(64)^{1}}{1!}+\frac{(64)^{2}}{2!}+...+\frac{(64)^{84}}{84!}]]\\=1-0.99308\\=0.00692\\\approx0.007$

Thus, the probability of the event (X > 84) is 0.007.

(b)

Compute the probability of the event (X < 64) as follows:

P (X < 64) = P (X = 0) + P (X = 1) + P (X = 2) + ... + P (X = 63)

$=\sum _{x=0}^{x=63}\frac{e^{-64}(64)^{x}}{x!}\\=e^{-64}\sum _{x=0}^{x=63}\frac{(64)^{x}}{x!}\\=e^{-64}[\frac{(64)^{0}}{0!}+\frac{(64)^{1}}{1!}+\frac{(64)^{2}}{2!}+...+\frac{(64)^{63}}{63!}]\\=0.48338\\\approx0.483$

Thus, the probability of the event (X < 64) is 0.483.

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2 years ago

I need help on this

Komok [63]

Answer:

I think that it is A or D

Step-by-step explanation:

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