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2 years ago

Caleb performed an experiment in which he rolled a number cube 100 times. He recorded the results in a table.

Mathematics

2 answers:

balandron [24]2 years ago

7 0

Answer:

The experimental probability of rolling a 4 is 0.14.

Step-by-step explanation:

Given : Caleb performed an experiment in which he rolled a number cube 100 times. He recorded the results in a table.

Number Rolled - Frequency - Experimental Probability

1 15 0.15

2 17 0.17

3 17 0.17

4 14 ?

5 21 0.21

6 16 0.16

To find : What was the experimental probability of rolling a 4?

Solution :

Formula to find the experimental probability is

$\text{Experimental Probability}=\frac{\text{Frequency of the number}}{\text{Total number of times cube roll}}$

We also notice that this pattern follows by other numbers also.

So, The experimental probability of rolling a 4 is

$\text{Experimental Probability}=\frac{14}{100}$

$\text{Experimental Probability}=0.14$

Therefore, The experimental probability of rolling a 4 is 0.14.

nydimaria [60]2 years ago

6 0

Answer: The experimental probability of rolling a 4 is 0.14

Experimental probability of rolling a 4 = (frequency of rolling a 4) / (Total number of rolling the number cube)

Frequency of rolling a 4 = 14
Total number of rolling the number cube = 100

Replacing in the formula above:
Experimental probability of rolling a 4 = 14 / 100
Experimental probability of rolling a 4 = 0.14 <span>
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Now imagine that instead of walking along the path 1→2→3→4→1, ann walks 80 meters on a straight line 33∘ north of east starting

stealth61 [152]

Answer:

Anna's walk as a vector representation is $80\cos 33^{\circ}\hat{i}+80 \sin33^{\circ}\hat{j}$ and refer attachment.

Step-by-step explanation:

Let the origin be the point 1 from where Ann start walking.

Ann walks 80 meters on a straight line 33° north of the east starting at point 1 as shown in figure below,

Resolving into the vectors, the vertical component will be 80Sin33° and Horizontal component will be 80Cos33° as shown in figure (2)

Ann walk as a vector representation is $80\cos 33^{\circ}\hat{i}+80 \sin33^{\circ}\hat{j}$

Thus, Anna's walk as a vector representation is $80\cos 33^{\circ}\hat{i}+80 \sin33^{\circ}\hat{j}$

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2 years ago

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Peter paid $79.80 for renting a tricycle for 6 hours. What was the rate per hour for renting the tricycle? (Input only numeric v

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Answer:

13.30

Step-by-step explanation:

$79.80 / 6 hours = $13.30

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Assume that a fair die is rolled. The sample space is , 1, 2, 3, 4, 56, and all the outcomes are equally likely. Find P8. Expres

liraira [26]

Answer:

$P\left(8\right)=0$

Step-by-step explanation:

Assuming that a fair die is rolled.

The sample space is 1, 2, 3, 4, 5, 6 and all the outcomes are equally likely.

Let X be the set of all possible outcomes. Let A be an outcome.

So, the probability that A occurs is:

$P\left(A\right)=\frac{|A|}{|X|}$

As the set of all possible outcomes of the roll of a single die is:

$X=\left\{1,2,3,4,5,6\right\}$

Observe that

$|X|=6$

Here

$|A|=0$ because 8 is not in the set sample space. So, the outcome of occurring the number 8 is not possible from the all possible outcomes.

So, the probability must be zero.

In other words,

$P\left(A\right)=\frac{|A|}{|X|}$

$P\left(8\right)=\frac{0}{6}=0$

Therefore,

$P\left(8\right)=0$

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Let's call Tacos t and Enchiladas e.
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