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3 years ago

11

There was ¼ of a carton of ice cream for Michelle and her two friends to share. If they split the ice cream evenly among them, h

ow much of the original ice cream did each of the 3 kids get?

1 answer:

Alika [10]3 years ago

3 0

Answer:

5

Step-by-step explanation:

hhhhhhhhhikbvfjbcdgnkkh

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A construction company is considering submitting bids for contracts of three different projects. The company estimates that it h

julsineya [31]

Answer:

a. $P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}\\$

b. $E(x) = 0.3$

c. $S(x)=0.5196$

d. $E=5,000$

Step-by-step explanation:

The probability that the company won x bids follows a binomial distribution because we have n identical and independent experiments with a probability p of success and (1-p) of fail.

So, the PMF of X is equal to:

$P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}\\$

Where p is 0.1 and it is the chance of winning. Additionally, n is 3 and it is the number of bids. So the PMF of X is:

$P(x)=\frac{3!}{x!(3-x)!}*0.1^{x}*(1-0.1)^{n-x}\\$

For binomial distribution:

$E(x)=np\\S(x)=\sqrt{np(1-p)}$

Therefore, the company can expect to win 0.3 bids and it is calculated as:

$E(x) = np = 3*0.1 = 0.3$

Additionally, the standard deviation of the number of bids won is:

$S(x)=\sqrt{np(1-p)}=\sqrt{3(0.1)(1-0.1)}=0.5196$

Finally, the probability to won 1, 2 or 3 bids is equal to:

$P(1)=\frac{3!}{1!(3-1)!}*0.1^{1}*(1-0.1)^{3-1}=0.243\\P(2)=\frac{3!}{2!(3-2)!}*0.1^{2}*(1-0.1)^{3-2}=0.027\\P(3)=\frac{3!}{3!(3-3)!}*0.1^{3}*(1-0.1)^{3-3}=0.001$

So, the expected profit for the company is equal to:

$E=-10,000+50,000(0.243)+100,000(0.027)+150,000(0.001)\\E=5,000$

Because there is a probability of 0.243 to win one bid and it will produce 50,000 of income, there is a probability of 0.027 to win 2 bids and it will produce 100,000 of income and there is a probability of 0.001 to win 3 bids and it will produce 150,000 of income.

5 0

3 years ago

Which equation could define the function below?

dimulka [17.4K]

Answer:

y= (x+1)(x+ .5) (x+ 3.5)

y= (x+1) (X - .5) (x-3.5)

y = (x-1) (X-.5) (x-3.5)

y= (x+1) (X- .5) (x +3.5)

Step-by-step explanation:

6 0

2 years ago

Which of the three following graphs display the same data? i. a bar graph titled county voter turnout (thousands) has year on th

ivann1987 [24]

The graphs that display the same data are a. I and II

<h3>What is Data Representation?</h3>

This refers to the different ways in which a set of data are displayed in a certain place such as a bar graph, frequency table, line graph, etc.

Hence, we can see that from the evaluation of the data, there is the use of the same data in I and II as the bar and line graphs contain the same country voter turnout.

Read more about bar graphs here:

brainly.com/question/25718527

#SPJ4

5 0

2 years ago

Evaluate if a= 28 and b= -3 a/4+b

patriot [66]

Answer:

4

Step-by-step explanation:

divide the numbers

subtract the numbers

final answer:
= 4

8 0

2 years ago

Miguel has 1 foot of string. He cuts the string into fourths. How many inches is each piece of string?

Vikentia [17]

Each piece of string has 3 inches each

5 0

3 years ago

Read 2 more answers