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3 years ago

If you were to too a dice one time what is the odds of rolling a number less than three?

Mathematics

1 answer:

Doss [256]3 years ago

4 0

Answer:

1/3 or 33.33%

Step-by-step explanation:

A regular dice has 6 sides each with a single number from 1 to 6. Therefore, there are a total of 6 possible outcomes. Out of all of these only two outcomes are actually less than three and those are the numbers 1 and 2. Meaning, that if the dice were rolled only a single time then the probability of rolling a number less than 3 would be 2/6 or 1/3 (simplified). As a percentage, this probability would be 33.33%

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The latest poll from ESPN asked fans what their favorite sport was, considering pro, college and highschool levels. Out of 1000

shepuryov [24]

Answer:

Confidence interval is $0.2911$

Step-by-step explanation:

Given that 32% of fans sport is basketball as favorite sport. So total number of fans is,

$32\%\times 1000$

$= \dfrac{32}{100}\times 1000$

$=320$

So 320 fans favorite sport is basket ball.

Now find sample proportion ,

$\widehat{p}=\dfrac{number\:of\:people\:in\:the\:sample}{total\:number\:of\:people}$

Substituting the value,

$\widehat{p}=\dfrac{320}{1000}$

$\widehat{p}=0.320$

Formula for confidence interval is,

$CI=\widehat{p}\pm z\sqrt{\dfrac{\widehat{p}\left (1-\widehat{p}\right )}{n}}$

To calculate the z value.

$Confidence Level=1-\alpha$

$0.95=1-\alpha$

$0.05=\alpha$

Now divide above value by 2,

$\dfrac{0.05}{2}=\dfrac{\alpha}{2}$

$0.025=\dfrac{\alpha}{2}$

To find the value of z score calculate the area under the curve as follows

$A=\dfrac{1+CL}{2}$

$A=\dfrac{1+0.95}{2}$

$A=\dfrac{1.95}{2}$

$A=0.975$

On z table, find the value of 0.975. So the row corresponding to 0.975 is 1.9 and column corresponding to 0.975 is 0.06. Adding these two values the z score is 1.96.

or find the value from excel by using command as follows,

=NORM.S.INV(0.025)= -1.959963985

Now substituting the value,

$CI=0.320\pm 1.96\sqrt{\dfrac{0.320\left (1-0.320\right )}{1000}}$

$CI=0.320\pm 0.02891$

Lower end of the interval is,

$CI=0.320- 0.02891$

$CI=0.2911$

Upper end of the interval is,

$CI=0.320+ 0.02891$

$CI=0.3489$

Therefore 95% confidence interval is $0.2911$

7 0

2 years ago

Find the value of the 100th and 1000th term in the sequence { 3,-5,7,-9,...}

pogonyaev

The value of 100th is 201
and the value of 1000th is 2001

7 0

2 years ago

Kadin and Silas went to a movie that started at 1:55 p.m. and got out at 4:10 pm

elixir [45]

The movie should be 2 hours and 15 minutes long.

4 0

2 years ago

Read 2 more answers

(1,9) m=-3 in point slope form

Marysya12 [62]

Use the given slope and point and put it into the point-slope formula
y - y1 = m ( x - x1 )

1 is your x value (x1) and 9 is your y value (y1). M = -3

In point slope form, the answer is
y - 9 = -3 ( x - 1 )

4 0

3 years ago

Graph the system of equations. Then determine whether it has no solution, one

Nikitich [7]

Answer:

One solution: (6, -1)

Step-by-step explanation:

I have attached the work to your problem below.

Please see the attachment.

I hope this helps.

7 0

3 years ago