a hyperbola has vertices (±5, 0) and one focus at (6, 0). what is the equation of the hyperbola in standard form?

Satya, nina, and iana each have a 3/4 chance of going to café georgia for an afternoon coffee at 1:00pm. Bohan will only go to c

larisa86 [58]

Using the binomial distribution, it is found that there is a 0.9844 = 98.44% probability that bohan goes to café georgia for a coffee today.

For each friend, there are only two possible outcomes, either they go to the cafe, or they do not. The probability of a friend going to the cafe is independent of any other friend, hence, the binomial distribution is used to solve this question.

<h3>What is the binomial distribution formula?</h3>

The formula is:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

There are 3 friends, hence n = 3.

They all go to the cafe with a 3/4 probability, hence p = 3/4 = 0.75.

The probability at least one goes is:

$P(X \geq 1) = 1 - P(X = 0)$

In which:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{3,0}.(0.75)^{0}.(0.25)^{3} = 0.0156$

Then:

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0156 = 0.9844$

0.9844 = 98.44% probability that bohan goes to café georgia for a coffee today.

You can learn more about the binomial distribution at brainly.com/question/24863377

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3 years ago

Why might some 20-year-olds have difficulty investing $360 per month for retirement?

jolli1 [7]

Because they need the money for other necessities such as paying rent, insurance, living expenses, transportation, and even paying for college and books for college. and it’s likely they are making minimum wage if they have a job so it is hard to keep up and pay that much per month

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3 years ago

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__________, which is an essential biological compound found in DNA and amino acids that make up proteins, occurs in the atmosphe

tamaranim1 [39]

Answer: Nitrogen; fixation

Explanation:

Nitrogen is a naturally occurring element that is essential for growth and reproduction in both plants and animals. It is found in amino acids that make up proteins, in nucleic acids, that comprise the hereditary material and life's blueprint for all cells, and in many other organic and inorganic compounds.

Fixation consists of two steps: cessation of normal life functions in the tissue (killing) and stabilization of the structure of the tissue (preservation). The goal of fixation is to preserve structure as faithfully as possible compared to the living state.

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3 years ago

Hydrogen peroxide breaks down to form water and oxygen gas. which observation is evidence that a chemical reaction has occurred?

Kitty [74]

Answer:

change in amount of liquid, change in smell or color, bubbling, foaming, fizzing

Explanation:

5 0

2 years ago

1. Why are scientists often uncomfortable with the term, "facts"?

Sati [7]

Answer:

A fact is an observation that is proven to be true, but in since there is a level of uncertainty. which means nothing is ever scientifically "true".

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3 years ago

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