All categories

2 years ago

A dice is rolled twice. What is the probability of showing a 6 on the first roll or an odd number on the second roll?

Mathematics

1 answer:

Ivahew [28]2 years ago

8 0

Answer:

Step-by-step explanation:

They're mutually exclusive events so you can add their probabilities to get their union

(assuming a fair die) the odds of rolling a six on the first role is 1/6

The odds of rolling an odd number on the second role is 1/2

1/6+1/2= 4/6=2/3= .667

You might be interested in

A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than ex

amm1812

Answer:

6546 students would need to be sampled.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

The dean randomly selects 200 students and finds that 118 of them are receiving financial aid.

This means that $n = 200, \pi = \frac{118}{200} = 0.59$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a p-value of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

If the dean wanted to estimate the proportion of all students receiving financial aid to within 1% with 90% reliability, how many students would need to be sampled?

n students would need to be sampled, and n is found when M = 0.01. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.01 = 1.645\sqrt{\frac{0.59*0.41}{n}}$

$0.01\sqrt{n} = 1.645\sqrt{0.59*0.41}$

$\sqrt{n} = \frac{1.645\sqrt{0.59*0.41}}{0.01}$

$(\sqrt{n})^2 = (\frac{1.645\sqrt{0.59*0.41}}{0.01})^2$

$n = 6545.9$

Rounding up:

6546 students would need to be sampled.

3 0

2 years ago

Please help! i posted picture of question

n200080 [17]

I would go with option C. x, in the first equation.

The X term has a coefficient of 3, the lowest common factor amongst the 3 terms making for easy isolation of the variable.

5 0

2 years ago

Read 2 more answers

Write a piecewise-defined function that represents the graph?

kodGreya [7K]

Answer:

f(x) = { x, -5 ≤ x < 0 and 3x - 3, 1 ≤ x < 5

Step-by-step explanation:

The equation of one line is y = x

The equation of the other line is y = 3x - 3

Altogether,

f(x) = { x, -5 ≤ x < 0 and 3x - 3, 1 ≤ x < 5

4 0

2 years ago

Simplify the expression. -2.7f + 0.8f - 16 - 4

Mazyrski [523]

Answer:

-1.9f-20

Step-by-step explanation:

-2.7f+0.8f-16-4

Collect similar items

-2.7f+0.8f=-1.9f

=-1.9f-16-4

Subtract the numbers

-16-4=-20

=-1.9f-20

4 0

2 years ago

Read 2 more answers

Solve for the difference `7.2-3.67`

storchak [24]

The correct answer is 3.53

7 0

2 years ago