How many different combinations are possible if a number cube is tossed three times?

2 answers:

7 0

If you toss it the first time there are 6 outcomes

For each of these outcomes, the second toss could yield another 6 outcomes - total 6 x 6 = 6² outcomes 

For each of the these outcomes, the third toss could yield another 6 outcome - total = 6² x 6 = 6³ outcomes. 

Extending this pattern you see that for x tosses, the total number of outcomes is 6^x.
That's what I got, hope it helps you.

Nataly_w [17]3 years ago

6 0

It would be 6 x 6 x 6, since the number cube has six sides and it was thrown 3 times.

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Lan make 60 cakes. he gives 1/4 of the cakes to Helen. he gives 20 of the 60 cakes to sue. what fraction of the 60 cakes does he

weqwewe [10]

Answer:

5/12

Step-by-step explanation:

1/4 of the cakes is 60 divided by 4 which is 15. That goes to Helen

20 go to Sue

so far, he has given away 35 cakes out of the 60

he is left with 25 cakes

that is 25/60 which can be simplified to 5/12

4 0

2 years ago

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Taya2010 [7]

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3 years ago

The Wisconsin Dairy Association is interested in estimating the mean weekly consumption of milk for adults over the age of 18 in

Stolb23 [73]

Answer:

$ME = 1.653 *\frac{7.9}{\sqrt{300}}= \pm 0.75$

±0.75 ounce

Step-by-step explanation:

Assuming this complete question: The Wisconsin Dairy Association is interested in estimating the mean weekly consumption of milk for adults over the age of 18 in that state. To do this, they have selected a random sample of 300 people from the designated population. The following results were recorded: xbar=34.5 ounces, s=7.9 ounces Given this information, if the leaders wish to estimate the mean milk consumption with 90 percent confidence, what is the approximate margin of error in the estimate?

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=34.5$ represent the sample mean

$\mu$ population mean (variable of interest)

s=7.9 represent the sample standard deviation

n=300 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=300-1=299$

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,199)".And we see that $t_{\alpha/2}=1.653$