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choli [55]
3 years ago
11

A die is rolled 100 times. A 1 is rolled 20 times, a 2 is rolled 14 times, a 3 was rolled 20 times, a 4 was rolled 15 times a 5

was rolled 19 times, and a 6 was rolled 12 times.
a) What is the experimental probability of rolling a 6?
b) What is the theoretical probability of rolling a 6?
Mathematics
1 answer:
Talja [164]3 years ago
4 0

Answer:

A) Experimental probability = 0.12

B) Theoretical probability = 1/6

Step-by-step explanation:

A) Experimental probability is based on the total number of times an event occurs with respect to the total outcome of the experiment in question.

Now, we are told that the die was rolled 100 times and that 6 was gotten 12 times for the 100 rolls.

Thus;

Experimental probability = 12/100

Experimental probability = 0.12

B) Theoretical probability is the number of ways that an event can occur in relation to the total outcomes.

Here, the number of ways 6 can occur is 1 and the total outcome is 6 possible due numbers.

Thus,

Theoretical probability = 1/6

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4 employees drive to work in the same car. the workers claim they were late to work because of a flat tire. their managers ask t
Brums [2.3K]

Answer:

The required probability is 0.015625.

Step-by-step explanation:

Consider the provided information.

There number of tires are 4.

The number of workers are 4.

The probability that individual select front drivers side tire = \frac{1}{4}

The probability that they all select front drivers side,tire is: \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}=\frac{1}{256}

Similarly,

The probability that they all select front passenger side, tire is: \frac{1}{256}

The probability that they all select rear driver side,tire is: \frac{1}{256}

The probability that they all select rear passenger side, tire is: \frac{1}{256}

Hence, the probability that all four workers select the same​ tire = \frac{1}{256}+ \frac{1}{256}+\frac{1}{256}+\frac{1}{256}

the probability that all four workers select the same​ tire = \frac{4}{256}=\frac{1}{64}=0.015625

Hence, the required probability is 0.015625.

5 0
3 years ago
The gravitational potential energy of an object is
Alchen [17]

Answer:

h=p/(mg)

Step-by-step explanation:

P=mgh

solving for h,

h=p/(mg)

7 0
3 years ago
Help plz if you can fast...ish, yeah..
zavuch27 [327]

C

I think this is the right answer

3 0
3 years ago
Which of the following expressions are equivalent to -19/8 x(-50)
dmitriy555 [2]

1. Move the negative sign to the left.

-
\frac{19}{8}X*-50

2. Use this rule: \frac{a}{b}*\frac{c}{d}=\frac{ac}{bd}

-\frac{19x*-50}{8}

3. Simplify -  \frac{-950x}{8}

4. Move the negative sign to the left.

-(-950x/8)

5. Simplify 950x/8 to 475x/4

6. Remove parentheses.

5 0
2 years ago
Evaluate the series 4 – 2 + 1 – 0.5 + 0.25 to S10. Round to the nearest hundredth.
aleksklad [387]
The initial term of this geometric series is 4, and the common ratio is -1/2. The sum is given by

S_{n}=a_{1}\dfrac{r^{n}-1}{r-1}\\\\S_{10}=4\cdot \dfrac{(-\frac{1}{2})^{10}-1}{-\frac{1}{2}-1}=4\cdot \dfrac{(\frac{1}{1024}-1)}{(-\frac{3}{2})}\\\\=\dfrac{8}{3}\cdot \dfrac{1023}{1024}=\dfrac{341}{128}

The sum is approximately 2.66.
4 0
3 years ago
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