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3 years ago

Nathan rolls a number cube and records the result of each roll in the table.

Mathematics

2 answers:

Sergeeva-Olga [200]3 years ago

8 0

Answer:

True statements:

A. The relative frequency of rolling 4 is $\dfrac{2}{9}.$

E. The experimental probability of rolling 1 is less than the experimental probability of rolling 6.

Step-by-step explanation:

Nathan made 11 + 16 + 14 + 20 + 12 + 17 = 90 rolls altogether. Consider all options:

A. The relative frequency of rolling 4 is

$\dfrac{20}{90}=\dfrac{2}{9}.$

This option is true.

B. The experimental probability of rolling 3 is $\dfrac{14}{90}.$ The theoretical probability of rolling 3 is $\dfrac{1}{6}=\dfrac{15}{90}.$ therefore, the experimental probability of rolling 3 is less than the theoretical probability. This option is false.

C. The experimental probability of rolling 2 is $\dfrac{16}{90}$ and the theoretical probability of rolling 2 is $\dfrac{1}{6}=\dfrac{15}{90}.$ The experimental probability of rolling 2 is smaller than the theoretical probability of rolling 2. Option C is false.

D. The relative frequency of rolling 5 is $\dfrac{12}{90}=\dfrac{2}{15}\neq \dfrac{2}{13}.$ This option is false.

E. The experimental probability of rolling 1 is $\dfrac{11}{90}$ and the experimental probability of rolling 6 is $\dfrac{17}{90}.$ Since $\dfrac{11}{90}$ then the experimental probability of rolling 1 is less than the experimental probability of rolling 6. This option is true.

F. The theoretical probability of rolling 1 is the same as the theoretical probability of rolling 6. This option is false.

dimulka [17.4K]3 years ago

6 0

Answer:

A and E

Step-by-step explanation:

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meriva

Answer:

The ODDS that the dart hits a date that is a prime number are 1:1

Step-by-step explanation:

Odds:

An odd is writen as:

Number of desired outcomes: Number of undesired outcomes.

In this question:

April has 30 days, 15 of which are prime numbers and 15 of which are odd numbers.

So the odds are:

15:15

Simplifying by 15

1:1

The ODDS that the dart hits a date that is a prime number are 1:1

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2 years ago

Calculate the average rate of change for the function

mezya [45]

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2 years ago

zepelin [54]

The question is incomplete. Below you will find the missing figure.

Two friends, Andrew and Liz, are playing a game using this spinner. If the

spinner lands on region 2 or 3, Andrew wins. If it lands on region 4, Liz wins. If it lands on any other region, neither wins. Is this a fair game?

A. Yes. Each friend has a 1/4 probability of winning.

B. Yes. Each friend has a 1/6 probability of winning.

C. No. Andrew has a probability of 1/4 winning and Liz has a probability of 1/6 winning.

D. No. Andrew has a probability of 1/3 winning and Liz has a probability of 1/4 winning.

The correct option is Option A: Yes. Each friend has 1/4 probability of winning.

Probability is the possibility of an event to happen which is the ratio of no. favorable outcomes and no. of total outcomes.

P = no. of favorable outcome/ total no. of outcome

Here given in the question,

If the spinner touches region 2 or 3, Andrew wins

If the spinner touches region 4, Liz wins.

This is fair play because both have the same size of region for winning.

If we cut the circle into 8 pieces,

as region 1 is the sum of 2 sub-parts of the circle,

possibility of spinner touching region 1= 2/8= 1/4

possibility of spinner touching the small region = 1/8

So the possibility of the spinner touching the region 2or 3= 1/8+1/8= 2/8= 1/4

Hence the possibility of Andrew wins= possibility of the spinner touching region 1= 1/4

possibility of Liz wins= possibility of the spinner touching the region 2 or 3= 1/4

Therefore the correct option is Option A: Yes. Each friend has 1/4 probability of winning.

Learn more about the probability

here: brainly.com/question/24756209

#SPJ10

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2 years ago

Select all statements that are true about the graph of ordered pair (5, −1) . The point is 5 units below the x-axis. The point i

seropon [69]

The -1 means that y = -1, so point is one unit below the x-axis. In (5, -1), the x is positive, which could put the point in either the first quadrant or the fourth. With the y being negative, however, it means that the point is in the fourth quadrant. Those are your 2 true statements.

8 0

3 years ago

Read 2 more answers

The cost of 3 ibs of turkey is $9.81. What is the cost per pound for the turkey?

butalik [34]

3 = $9.81

1 = $?

To find this you have to do 9.81/3.

Hope this helps and have a nice day!!

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3 years ago