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Mumz [18]
3 years ago
10

2. What is the experimental probability of rolling a 4

Mathematics
2 answers:
Dafna1 [17]3 years ago
7 0

Answer:

1. 40%

2. The theoretical probability is 3% greater than the experimental probability.

Step-by-step explanation:

1. Lets define experimental probability first.

Experimental probability is the probability of an event's occurrence when the experiment was conducted.

The number cube is rolled 20 times, so our sample space is 20.

And the number 4 came in result 8 times, so the the event space is 8.

So,

Experimental Probability = 8/20

=> 0.4

Converting into percentage will give:

=> 40%

So the first option is correct.

2. First we have to find the theoretical probability of getting at least one tail when two coins are tossed

The sample space is {HH, HT, TH, TT}

3 out of these 4 outcomes contain at least one tail

So the theoretical probability of getting at least one tail is: 3/4

=> 0.75 or 75%

Now for the experimental probability,

The total sample space is 28+22+34+16 = 100

The number of favorable outcomes are(Which contain at least one tail):

22+34+16 = 72

So, experimental probability of getting at least one tail = 72/100

=> 0.72 or 72%

We can see that the theoretical probability is 3% greater than the experimental probability. So second option is correct..

boyakko [2]3 years ago
6 0

Answer:

1. 40%

2. The theoretical probability is 3% greater than the experimental probability.

Step-by-step explanation:

We are informed that a number cube is rolled 20 times and the number 4 is rolled 8 times. The experimental probability of rolling a 4 is;

(the number of times a 4 was rolled)/(total number of rolls)

8/20 = 0.4

0.4*100 = 40%

The experimental probability of obtaining at least one tails, one or more tails, is represented in mathematical notation as;

P(HT or TH or TT)

The above events are mutually exclusive, thus;

P(HT or TH or TT) = P(HT) + P(TH) + P( TT)

                               = (22+34+16)/(28+22+34+16)  

                               = 0.72 = 72%

On the other hand, the theoretical probability of obtaining at least one tails,

P(HT or TH or TT) = 3/4

                              = 75%

This is because there is at least one tail in 3 out of 4 possible outcomes.

Therefore, it is true to say that the theoretical probability is 3% greater than the experimental probability.

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According to a recent survey, in 2000, 61% of households had one or more pets. Throughout the next decade, this decreased by app
Olin [163]

Answer:

P = 61 - 4x

Step-by-step explanation:

According to a recent survey, in 2000, 61% of households had one or more pets. Throughout the next decade, this decreased by approximately 4% per year.

Therefore, if P represents the percentage of households having pets and x is the number of years after 2000, the expression for P as a function of x will be

P = 61 - 4x (Answer)

5 0
3 years ago
1- find the first term= ?, 90, 540, 3240
Luda [366]

Answer:

1. 15

2. 8

Step-by-step explanation:

The two sequence are geometric progression GP, because they follow a constant multiple (common ratio)

The nth term of a GP is;

Tn = ar^(n-1)

Where;

a = first term

r = common ratio

For the first sequence;

The common ratio r is

r = T3/T2 = 540/90 = 6

r = 6

T2 = ar^(2-1) = ar

T2 = 90 = ar

Substituting the values of r;

90 = a × 6

a = 90/6

a = 15

First term = 15

2. The sam method applies here.

Common ratio r = T3/T2 = 128/32 = 4

r = 4

T2 = ar^(2-1) = ar

T2 = 32 = ar

Substituting the values of r;

32 = a × 4

a = 32/4

a = 8

First term = 8

4 0
3 years ago
What was the problem at kenya airways described in this case? what management, organization, and technology factors contributed
MatroZZZ [7]

The management, organisation, and technology factors contributed to this problem are listed below.

<h3>What was the problem at Kenya Airways ?</h3>

The  problem in the airways was that corporation didn't know its customers, the airline hasn't been able to take use of its market opportunity in recent years.

Airways was unable to evaluate and keep track of its marketing efforts.

The technology factor that contributed were:

  • No reliable systems for tracking and accounting.
  • The technology used was neither accurate nor consistent.

The Organisation factors that contributed were

  • No communication between the organisation and the customers
  • No track record of the online campaigns and advertisement output
  • Customer Relations Needed to be improved.

The Management factors that contributed were

  • The management never gave reviews to the organisation about the failing system
  • The management even didn't take reviews from the customers and from the people working.

To know more about  problem at Kenya Airways

brainly.com/question/27974672

#SPJ1

8 0
1 year ago
What is the volume of a cylinder with a height of 2 feet in a radius of 6 feet use 3.14 for pie
Zepler [3.9K]

Answer:226.08 cubic feet

Step-by-step explanation:

π=3.14

Radius(r)=6feet

Height(h)=2feet

volume=π x r^2 x h

Volume=3.14 x 6^2 x 2

Volume=3.14 x 6 x 6 x 2

Volume=226.08

5 0
3 years ago
Which table of values represents a function?
ser-zykov [4K]
I would say option 3 hopefully im right!!
7 0
2 years ago
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