1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
barxatty [35]
3 years ago
15

Roll the number cube to find the observed frequency. Which statements are true? Check all that apply

Mathematics
1 answer:
ch4aika [34]3 years ago
7 0

Answer:

(a) and (c)

Step-by-step explanation:

Given

See attachment for complete question

Required

Select all true statements

First, calculate the total observed frequency;

Total = 11 + 16 + 14 + 20 + 12 + 17

Total = 90

<u>(a): Relative frequency of 4 is 2/9</u>

Relative frequency is calculated by:

RF= \frac{Observed\ Frequency}{Total}

For roll 4

Observed\ frequency = 20

So, the relative frequency is:

RF = \frac{20}{90}

Simplify

RF = \frac{2}{9}

<em>(a) is true</em>

<u>(b): Experimental probability of 3 greater than its theoretical probability</u>

The experimental probability is its relative frequency;

For roll 3

Observed\ frequency = 14

The experimental probability is:

Pr = \frac{14}{90}

Simplify

Pr = \frac{7}{45} = 0.156

To calculate  the theoretical probability, w have:

S = \{1,2,3,4,5,6\} ---- sample space

n(S)= 6

n(3) = 1 --- number of times 3 occur

The theoretical probability is:

Pr = \frac{1}{6} = 0.167

The theoretical probability is greater\ than\ the experimental probability.

<em>(b) is false</em>

<u>(c): Experimental probability of 2 greater than its theoretical probability</u>

Using the explanations in (b), we have:

For roll 2

Observed\ frequency = 16

The experimental probability is:

Pr = \frac{16}{90}

Simplify

Pr = \frac{8}{45} = 0.178

To calculate the theoretical probability, we have:

n(S)= 6

n(2) = 1

The theoretical probability is:

Pr = \frac{1}{6} = 0.167

The experimental probability is greater\ than\ the theoretical probability.

<em>(c) is true</em>

<u>(d): Relative frequency of 5 is 2/13</u>

For roll 5

Observed\ frequency = 12

The relative frequency is:

RF = \frac{12}{90}

Simplify

RF = \frac{2}{15}

<em>(d) is true</em>

You might be interested in
Zach was playing basketball for the Longwood middle school team.he made 60% of his shots.how many total shots did he take,if he
Lostsunrise [7]
60%=0.6. 9=0.6x 9/0.6=15. 15 total shots
6 0
3 years ago
Which expression is equivalent to (3 x^ 2 - 7)​
Kay [80]

Answer:

What are the posible answers for the question?

Step-by-step explanation:

5 0
3 years ago
Tyler surveys his classmates to determine the number and type of pets they have. The frequency table below shows this data.Based
kodGreya [7K]
I would saybar chart because it is a set amount of data
3 0
3 years ago
Read 2 more answers
When you use a transversal to construct a line parallel to a given line, how do you prove that the lines are parallel?
DedPeter [7]
Parallel lines never touch each other.
4 0
3 years ago
The angle of elevation of a tower, 45 m high from a ball on the ground 52 degree (a) how far is the ball from the foot of the to
blsea [12.9K]

The distance of the ball from the foot of the tower is : 35.18m

The ball would be moved 57.2m away from the foot of the tower for the Angle of elevation to be halved.

<h3>What is angle of elevation?</h3>

Angle of elevation is the angle formed between the horizontal and the  line of view from the vertical.

Analysis:

The height of the tower and the distance of the ball from the foot of the tower form a right angle triangle.

so we use trigonometry.

a) let distance of the ball from foot of tower be x.

  so that, tan 52 = 45/x

  x = 45/tan52

  x = 45/1.279 = 35.18m

b) let the distance of the ball in the new position from the foot of the tower be y.

if the angle of elevation is halved, then new angle is 52/2 = 26°

 tan 26 = 45/y

y = 45/tan26 = 45/0.487 = 92.4m

distance moved from old position to new position = 92.4 - 35.18 = 57.2m

In conclusion, the distance of the ball from the foot of the tower and the distance the ball should move to make its elevation 26° are 35.18m and 57.2m respectively.

Learn more about angle of elevation: brainly.com/question/88158

#SPJ1

4 0
2 years ago
Other questions:
  • I really need to get this done please help
    9·2 answers
  • Estimate how many times larger 4 x 10^15 is than 8 x 10^9 in the form of a single digit times an integer power of 10.
    10·1 answer
  • Suppose this relation forms a function: {(3,-5), (-2,9), (0,4), (x,7)}. What values are not possible for the value of x?
    5·1 answer
  • Ben bowled 133 and 206 in his first two games. What must he bowl in his third game to have an average of at least 170?
    9·2 answers
  • SOLUTION: rikkies locker number is a two digit number the number is less than 70 and is an even multiple of 10 what three number
    6·2 answers
  • What is 24.76 in a mixed fraction
    10·2 answers
  • The Futurists, a rock group, are planning a concert tour with performances to be
    13·1 answer
  • Based on the sample results, about what percent of
    12·1 answer
  • Ms Etienne deposited $450 into an account to pay 5% interest compounded annually she did not make any additional deposits or wit
    7·2 answers
  • Mat played tennis 35 times in 7 weeks. sue played tennis 15 times in 21 days. are their rates equivalent?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!