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Yuki888 [10]
3 years ago
5

Using a function on her calculator, Jamie can generate a single random digit by pressing the "Enter" key. She wants to experimen

t and see how many times it will take for her calculator to generate a fifth "4." Assume that the calculator will generate a "4" on any given attempt with probability 0.20. How many total generated digits should we expect in order to get a fifth "4"
Mathematics
1 answer:
agasfer [191]3 years ago
6 0

Answer:

We should expect 25 generated digits in order to get a fifth "4"

Step-by-step explanation:

For each generated digit, there are only two possible outcomes. Either it is a four, or it is not. The probability of a digit being a 4 is independent of other digits. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

The expetcted number of trials to get r sucesses, with p probability, is given by:

E = \frac{r}{p}

Assume that the calculator will generate a "4" on any given attempt with probability 0.20.

This means that p = 0.2

How many total generated digits should we expect in order to get a fifth "4"

This is E when r = 5. So

E = \frac{r}{p} = \frac{5}{0.2} = 25

We should expect 25 generated digits in order to get a fifth "4"

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Convert 18% to a fraction in lowest term
Lemur [1.5K]

Answer:

\frac{9}{50}

Step-by-step explanation:

This is the answer because:

1) 185 equals to \frac{18}{100} because 18% is equal to 0.18 which is \frac{18}{100}

2) \frac{18}{100}  to it's lowest terms is \frac{9}{50}

3) It's lowest terms is  \frac{9}{50} because 18/2 is 9 and 100/2 is 50

4)  \frac{9}{50} can't be simplified any further because 9 and 50 don't have any common factors

Hope this helps! :D

3 0
3 years ago
PLEASE SOMEONE HELP I TRULY DO NOT UNDERSTAND
IceJOKER [234]

Hi there!

\large\boxed{f^{-1}(x) =  \sqrt[3]{\frac{x+4}{9} } }

f(x) = 9x^{3} - 4

Find the inverse by replacing f(x) with y and swapping the x and y variables:

x = 9y^{3} - 4

Isolate y by adding 4 to both sides:

x + 4 = 9y^{3}

Divide both sides by 9:

\frac{x+4}{9}= y^{3}

Take the cube root of both sides:

y = \sqrt[3]{\frac{x+4}{9} }\\\\f^{-1}(x) = \sqrt[3]{\frac{x+4}{9} }

7 0
3 years ago
Lesson Posttes
joja [24]

A translation 2 units to the left followed by dilation by 1/2.

The correct option is (B).

<h3>What is congruency?</h3>

It states that that two triangles are said to be congruent if they are copies of each other and when superposed, they cover each other exactly.

The complete question is:

Which of the following composition of transformations would create an

image that is not congruent to its original image?

A rotation of 45° followed by a reflection across the x-axis

A translation 2 units to the left followed by dilation by 1/2

A reflection across the y-axis followed by a rotation of 60°

A rotation of 135º followed by a translation of 4 units to the right.

After a translation of 2 units to the left followed by dilation by 1/2 the image will not be congruent to its original image.

All other options are reflection and rotation, which not fit into the situation.

Learn more about congruency here:

brainly.com/question/7888063

#SPJ1

7 0
2 years ago
ben is making trail mix for 25 people. each person will get 1/8 pound of trial mix. how much trail mix does ben need to make it
worty [1.4K]
ITS 100 trAilmix be because you multiply 25 Times 1/8 and multiply the answer OF 25 Times 1/8 in 25
8 0
3 years ago
1. If the amount of fruit decreased by 35%, what percent of the original amount do you have?
katovenus [111]

Answer:

65% of the original amount.

Explanation:

Let's say that the original amount is 100%; therefore, if we subtract 35% from the original amount we have

100\%-35\%=65\%

Hence, if the amount of fruit decreased by 35%, then we have 65% of the original amount left.

6 0
1 year ago
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