________________ is an important quality to possess as a boxer but you must sometimes know when not to pick a fight.

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

3 0

2 years ago

What are the species of fish that are commonly cultured in pounds

murzikaleks [220]

Answer:

cage cultural fish are the species of fish that are commonly cultured in pounds

8 0

3 years ago

Assuming Leakey's hypothesis of a sixth mass extinction to be true, how will we expect the model to change?

aivan3 [116]

If you are using USA test prep the answer would be:
<span>
C). <span>a sharp spike in the graph immediately following the "0" location of the X axis</span></span>

6 0

2 years ago

Everything looks like a nail, inc. is a manufacturing company that produces hammers. the company faces various fixed and variabl

prisoha [69]

Examples of fixed costs include equipment costs and salaries; while variable costs include costs of materials and transportation costs.

In a company, costs include all the money that has to be paid for the company to offer a product or service.

<h3>What is the difference between a variable cost and a fixed cost?</h3>

Variable costs can vary or change depending on the number of units produced; on the other hand, fixed costs are constant.

<h3>What are some fixed and variable costs?</h3>

Fixed costs:

Equipment cost.
Interests on a debt.
Salaries.

Variable costs:

Cost of materials such as metal or wood.
Transportation and packaging costs.

Learn more about costs in: brainly.com/question/15135554

8 0

2 years ago

What maximum amount of ammonia in kilograms can be synthesized from 5.22 kg of h2 and 31.5 kg of n2?

Fiesta28 [93]

Consider the unbalanced reaction,

H₂ + N₂ ===> NH₃

Balance it to get

3 H₂ + N₂ ===> 2 NH₃

This tells you that for every 3 moles of H₂ and 1 mole of N₂ among the reactants, 2 moles of NH₃ are produced.

Look up the molar masses of each component element:

• H : 1.008 g/mol ===> H₂ : 2.016 g/mol

• N : 14.007 g/mol ===> N₂ : 28.014 g/mol

• NH₃ : 17.031 g/mol

Convert the given mass to moles for each reactant:

• H₂ :

(5.22 kg) × (1000 g/kg) × (1/2.016 mol/g) ≈ 2589.29 mol

• N₂ :

(31.5 kg) × (1000 g/kg) × (1/28.014 mol/g) ≈ 1124.44 mol

Now,

(2589.29 mol H₂) : (1124.44 mol N₂) ≈ (2.30 mol H₂) : (1 mol N₂)

so that the amount of N₂ consumed is

(2589.29 mol H₂) × (1 mol N₂) / (3 mol H₂) ≈ 863.095 mol N₂

leaving an excess of about 261.343 mol N₂, and producing

(2589.29 mol H₂) × (2 mol NH₃) / (3 mol H₂) ≈ 1726.19 mol NH₃

Convert this to a mass :

(1726.19 mol) × (17.031 g/mol) × (1/1000 kg/g) ≈ 29.3987 kg

So, up to 29.4 kg of NH₃ can be synthesized.

4 0

3 years ago