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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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The speed of a boat in still water is 40 mph. If it takes the same time for the boat to travel 8 miles upstream as it does to tr
antoniya [11.8K]

Answer:

Current speed is 40mph

Step-by-step explanation:

We firstly need to know what is intended by upstream and downstream. When the boat travels in the direction of the current (horizontal movement of the water), we say it is moving downstream otherwise it is moving upstream.

Let's assume the speed of the boat is A and that of the current is B, then the speed when it moves dowstream would be A + B and the speed if it moves upstream would be A – B.

In this question, we know that the speed of the boat is 40mph. Given that it takes the same time to travel 8miles upstream as it does to travel 24miles downstream, we have

Speed upstream = 8/t

Speed downstream = 24/t

Respectively.

Let speed of current be X, then

Speed downstream = 40 + X

Speed upstream = 40 – X

From the question we have:

(40 + x)/24 = (40 – X)/8

(40 + x)/3 = (40 – x)/1

3(40 – x) = 40 + X

120 – 3x = 40 – X

120 – 40 = 3x – X

2x = 80

X = 40.

Therefore, current speed is 40mph

5 0
3 years ago
A bus takes 45 minutes to travel 48 kilometres. What is its average<br>speed?<br>​
navik [9.2K]

Answer:

64km/h

Step-by-step explanation:

Average speed= 48km÷45 minutes

= 48km÷0.75h

= 64km/h

6 0
3 years ago
The Burj Khalifa, the tallest building in the world with 163 floors, is having problems with its air conditoning system. It is s
LuckyWell [14K]
This question was already asked so I will put the answer here.

The correct answer is letter (B) {1,2,3,4,...,163}.The burj khalifa the tallest building in the world with 163 floors, is having problems with is air conditioning system. It is suspected that thedifference is air pressure between the first floor and the top floor is the problem. normal pressure for the bottom floor is 14.7psi. a building engineer uses the function p to analyse pressure p(f) represents the pressure on each floor, where f is the floor number.

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3 years ago
Read 2 more answers
What is (43/7÷ x+32/9) ÷25/6=4/3
Fittoniya [83]

The value of x in the equation (43/7 ÷ x + 32/9) ÷ 25/6 = 4/3 is 43/14

<h3>How to solve for x in the equation?</h3>

The equation is given as:

(43/7 ÷ x + 32/9) ÷ 25/6 = 4/3

Rewrite as a product

(43/7 ÷ x + 32/9) x 6/25 = 4/3

Multiply both sides of the equation by 25/6

(43/7 ÷ x + 32/9)= 4/3 x 25/6

Evaluate the product

(43/7 ÷ x + 32/9)= 50/9

Rewrite the equation as:

43/7x + 32/9= 50/9

Subtract 32/9 from both sides

43/7x = 2

Multiply both sides by 7x

14x = 43

Divide by 14

x =43/14

Hence, the value of x in the equation (43/7 ÷ x + 32/9) ÷ 25/6 = 4/3 is 43/14

Read more about equations at:

brainly.com/question/2972832

#SPJ1

3 0
2 years ago
What is the slope formula?
andre [41]

Answer:

D is your answer

Step-by-step explanation:

8 0
3 years ago
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