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
Mumz [18]
2 years ago
10

2. What is the experimental probability of rolling a 4

Mathematics
2 answers:
Dafna1 [17]2 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]2 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.

You might be interested in
The Students at Sunnyside School built a rectangular pyramid of aluminum cans for a world record. The top layer had 2 rows with
Lana71 [14]
2 times 3 equals 6.and 4 times6 equals 24.and 8 times 12 equals 96 add them all together and you will get 126


HOPE THIS HELPS
If it does please press the heart thing please
7 0
3 years ago
The rectangle below has a length of 4x+3 and a width of 3x.
Irina18 [472]
Perimeter- 14x+6
Just add al the sides up like normal
Area- 12x^2+9x
Multiply the length and width
C)
Perimeter- 118
Area- 840

I’m pretty sure these are right

4 0
3 years ago
Is -2.7 an irrational number
ololo11 [35]

Answer:

No

Step-by-step explanation:

An irrational number is a number that never ends or repeats. This decimal ends and it doesn't repeat.

6 0
2 years ago
Read 2 more answers
I need help with math homework #2 algebra
OverLord2011 [107]

Answer:

A. (0, -2) and (4, 1)

B. Slope (m) = ¾

C. y - 1 = ¾(x - 4)

D. y = ¾x - 2

E. -¾x + y = -2

Step-by-step explanation:

A. Two points on the line from the graph are: (0, -2) and (4, 1)

B. The slope can be calculated using two points, (0, -2) and (4, 1):

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 -(-2)}{4 - 0} = \frac{3}{4}

Slope (m) = ¾

C. Equation in point-slope form is represented as y - b = m(x - a). Where,

(a, b) = any point on the graph.

m = slope.

Substitute (a, b) = (4, 1), and m = ¾ into the point-slope equation, y - b = m(x - a).

Thus:

y - 1 = ¾(x - 4)

D. Equation in slope-intercept form, can be written as y = mx + b.

Thus, using the equation in (C), rewrite to get the equation in slope-intercept form.

y - 1 = ¾(x - 4)

4(y - 1) = 3(x - 4)

4y - 4 = 3x - 12

4y = 3x - 12 + 4

4y = 3x - 8

y = ¾x - 8/4

y = ¾x - 2

E. Convert the equation in (D) to standard form:

y = ¾x - 2

-¾x + y = -2

8 0
3 years ago
Which one of the following would be a good tool to represent data in terms of percentage of a whole?
NemiM [27]
I think the correct answer from the choices listed above is the first option. It is a pie chart that would be <span>a good tool to represent data in terms of percentage of a whole. It is a graph that makes use of a circle divided into parts that represents the proportion of the whole.</span>
6 0
2 years ago
Read 2 more answers
Other questions:
  • John’s parents recorded his height at various ages between 36 and 66 months.
    6·1 answer
  • As a pendulum swings the angle theta that it makes with the vertical changes through its swing. The force of gravity pulling on
    15·2 answers
  • What is the value of the expression 3z-3 when z=7
    8·1 answer
  • Y = −
    12·1 answer
  • Yin min owns A small store the first month store was open she made 1375 in profit during the next month she advertising local ne
    8·1 answer
  • The height of a triangle is 4 m more than twice the length of the base. The area of the triangle is 35 m^2 . Find the height of
    7·1 answer
  • Helppppppppppppppppppppp
    8·1 answer
  • Find all polar coordinates of point P where P = (9,pi divided by 5).
    11·1 answer
  • Lemme explain, im a middle schooler and my school just jumped into this with no explanation.​
    14·1 answer
  • 87.26+(-25.6)+(-5.4)
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!