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Shkiper50 [21]
2 years ago
11

Pedro has a spinner with 4 sections numbered 1 through 4. Pedro spins the spinner 100 times and records the results. He calculat

es the relative frequency of each outcome. Outcome 1 2 3 4 Relative Frequency 0. 24 0. 25 0. 26 0. 25 Which statements about Pedro's experiment are true? Select each correct answer. A uniform probability model is a good model to represent probabilities related to the numbers generated in Pedro's experiment. The theoretical probability that any one number is chosen is likely 0. 20. It is likely that the spinner is fair. The relative frequencies in the table are very different.
Mathematics
1 answer:
klasskru [66]2 years ago
8 0

The probabilities of each number are equal. Then statements A and C are correct.

<h3>What is probability?</h3>

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Given

Pedro has a spinner with 4 sections numbered 1 through 4.

Pedro spins the spinner 100 times and records the results.

He calculates the relative frequency of each outcome.

Outcome                                 1                2              3               4

Relative Frequency             0.24          0.25        0.26          0.25

A)  A uniform probability model is a good model to represent probabilities related to the numbers generated in Pedro's experiment. This statement is correct.

B)  The theoretical probability that any one number is chosen is likely 0.20. This is incorrect because every number has an equal probability.

C)  It is likely that the spinner is fair. This statement is correct because the probabilities of each number are equal.

D)  The relative frequencies in the table are very different. This statement is incorrect. Because numbers 2 and 4 have the same frequency and the number 1 and 3 have slightly different frequencies.

More about the probability link is given below.

brainly.com/question/795909

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Answer:

how this helps

Step-by-step explanation:

6 0
3 years ago
Special right triangles.
Oliga [24]

QUESTION 9

The given right angle triangle has its two legs equal to x\:cm and the hypotenuse is 2\:units.


Using the Pythagoras theorem, we have

x^2+x^2=2^2


This implies that;

2x^2=2^2


2x^2=4


x^2=2


x=\sqrt{2}


x=1.414


x\approx1.4\:units


QUESTION 10


The given right angle triangle has its two legs equal to x\:units and the hypotenuse is 7\:units.


Using the Pythagoras theorem, we have

x^2+x^2=7^2


This implies that;

2x^2=7^2


2x^2=49


x^2=24.5


x=\sqrt{24.5}



x=4.95\:units


QUESTION 11

Sam divided the square backyard into two sections along the 40ft diagonal.

Let one of the sides of the garden be x\:units, then the other side of the garden is also  x\:units since it was a square backyard.


The diagonal is the hypotenuse which is 40ft and the two legs are  x\:units each.


Applying the Pythagoras Theorem, we have;

x^2+x^2=40^2


2x^2=1600


x^2=800


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\Rightarrow x=28.28


The length of one side of the garden is approximately 28cm.


QUESTION 12

The hypotenuse of Nicole's right triangular support is 92cm long.


It was given that the two lengths of the triangular support are of equal length.


Let the two lengths of the triangular support be l\:cm each.


We then apply the Pythagoras theorem to obtain;

l^2+l^2=92^2


\Rightarrow 2l^2=8464


\Rightarrow l^2=4232


\Rightarrow l=\sqrt{4232}


\Rightarrow l=65.05cm


Therefore Nicole needs l+l=65.05cm+65.05cm\approx130cm of wood to complete the support.

The correct answer is A.


QUESTION 13

A 45-45-90 triangle is an isosceles right triangle.


Let the length of the two legs be m\:inches each.

It was given that the hypotenuse of this triangle is 12\:inches.


Applying the Pythagoras Theorem, we have;

m^2+m^2=12^2


\Rightarrow 2m^2=144


\Rightarrow m^2=72


\Rightarrow m=\sqrt{72}


\Rightarrow m=8.49


The length of one leg of the hypotenuse is approximately 8.5 inches to 1 decimal place.


QUESTIONS 14.

It was given that the distance from home plate to first base is 90 feet.


Since the baseball field form a square, the length of the baselines are all 90ft.

We want to calculate the distance from home plate to 2nd base,which is the diagonal of the square baseball field.

Let this distance be d\:ft, then using the Pythagoras theorem;

d^2=90^2+90^2


d^2=8100+8100


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Therefore the distance from home plate to second base is 127 ft to the nearest foot.


QUESTION 15.

The distance from third base to  first base is also 127 ft to the nearest foot.


The reason is that the  diagonals of a square are equal in length.


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3 years ago
The U.S. Bureau of the Census predicted that the population of Texas would be about 16.6 million in 2011 and then would increase
Serggg [28]
Y=16.6x+0.42 that’s the answer
8 0
3 years ago
The revenue for a vehicle rental store is $5460. There was 208 cars and 52 vans rented. A van rents for $10 more than a car.
Darya [45]
208c + 52v = 5460
v = c + 10

where c = the price for a car rental and v = the price for a van rental.
To solve this system, use substitution; the second equation says v is equal to c + 10, so plug in "c + 10" for v in the first equation and solve for c:

208c + 52(c + 10) = 5460
208c + 52c + 520 = 5460
260c + 520 = 5460
260c = 4940
c = 19

Now that we have c, we can plug it in to the second equation to find v:

v = (19) + 10
v = 29

So, c = 19 and v = 29, meaning that
The cost of a car rental is $19 and the cost of a van rental is $29.
7 0
2 years ago
Pls I need help not the best at this.
Mazyrski [523]

Answer:

B

Step-by-step explanation:

because I did the math and had my mom check it :)

7 0
3 years ago
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