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3 years ago

A six sided number cube is rolled twice. What is probability of rolling a 5 and then an even number?

1 answer:

5 0

P(rolling 5) = 1/6
P(rolling even number) = 3/6 = 1/2

P(rolling 5 THEN even) = 1/6 x 1/2 = 1/12

The question uses one die and puts the results in order which makes the answer simple.
If you used two dice and either could be 5 or even you get a different result.

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10. In a survey of 212 people at the local track and field championship, 72% favored the home team

igomit [66]

Answer:

a. The margin of error for the survey is of 0.0308 = 3.08%.

b. The 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning is (65.96%, 78.04%).

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 of the survey is:

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

The confidence interval can be written as:

$\pi \pm zM$

In a survey of 212 people at the local track and field championship, 72% favored the home team winning.

This means that $n = 212, \pi = 0.72$

a. Find the margin of error for the survey.

$M = \sqrt{\frac{0.72*0.28}{212}} = 0.0308$

The margin of error for the survey is of 0.0308 = 3.08%.

b. Give the 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning.

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a p-value of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

Lower bound:

$\pi - zM = 0.72 - 1.96*0.0308 = 0.6596$

Upper bound:

$\pi + zM = 0.72 + 1.96*0.0308 = 0.7804$

As percent:

0.6596*100% = 65.96%

0.7804*100% = 78.04%.

The 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning is (65.96%, 78.04%).

7 0

3 years ago

Y= 5x - 9, paying 35 for a answer, cashapp $mrbeast

Hatshy [7]

Answer:

Slope is 5

y intercept is (0,-9)

7 0

3 years ago

Read 2 more answers

Gasoline costs 1.05 euro per liter in France. What is the price in dollars per gallon?

Alecsey [184]

The price in dollars per gallon is 4.02 dollars per gallons.

<h3>How to find the price of gasoline in dollars per gallon?</h3>

Gasoline costs 1.05 euro per litre in France.

The first thing to do is to determine the equivalent amount of the same litre in dollar while in France.

Then, equate it the quantity of litres to gallons.

Hence,

1 euro = 1.01 dollars

1.05 euro = ?

cross multiply

price = 1.05 × 1.01

price = 1.0605 dollars

1 litres = 0.264172 gallons

Therefore,

cost = 1.0605 / 0.264172

cost = 4.01552442257 dollars per gallons

cost = 4.02 dollars per gallons

Therefore, the price in dollars per gallon is 4.02 dollars per gallons.

learn more on price here: brainly.com/question/14501882

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6 0

2 years ago

PLSSS HELPP!!!!!! WILL GIVE BRAINLIEST

mestny [16]

Answer:

a) 1 (the slope)

b) for every one ounce of sugar you eat, you can one ounce of weight

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2 years ago

Preston writes 3 songs in 2 days, working 7 hours each day. He spends the same amount of time on each song. How long does he spe

Alekssandra [29.7K]

Answer:

Step-by-step explanation:

In 2 days he spends 2*7 = 14 hours total

He divides the number of hours on each song evenly

14 /3 = 4 2/3 hours on each song.

What is 2/3 of an hour?

2/3 * 60 = 120 / 3 = 40 minutes

Total time spent on each song 4 hours and 40 minutes

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3 years ago

Read 2 more answers

A six sided number cube is rolled twice. What is probability of rolling a 5 and then an even number?​

A six sided number cube is rolled twice. What is probability of rolling a 5 and then an even number?