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3 years ago

A computer simulation tossed a 10-faced die 5 times. How many possible outcomes exist?

1 answer:

8 0

The answer to the problem wherein a computer simulation tossed a 10-faced die 5 times and you have to compute for the possible outcomes is simple. The answer is 18,144, 000 possible outcomes (if it's a combination). I got this through simply getting the 10! (3,628,800) and multiplying it 5.

However, if order is important (permutation), the number of possible outcomes is is 30240.

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Sales of different ice cream flavors at a small ice cream shop were recorded for one week. The graph shown here displays the sal

mote1985 [20]

Mean = Sum of all data divided by number of data

= (6 + 14 + 10 + 6 + 4 + 8) / 6 = 8. (C)

7 0

3 years ago

According to a study done by the Gallup organization, the proportion of Americans who are satisfied with the way things are goin

UkoKoshka [18]

Answer:

21.77% probability that the proportion who are satisfied with the way that things are going in their life exceeds 0.85

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

For proportions p in a sample of size n, we have that $\mu = p, \sigma = \sqrt{\frac{p(1 - p)}{n}}$

In this problem:

$\mu = 0.82, \sigma = \sqrt{\frac{0.82*0.18}{100}} = 0.0394$

In a sample of 100 Americans, what is the probability that the proportion who are satisfied with the way that things are going in their life exceeds 0.85

This is 1 subtracted by the pvalue of Z when X = 0.85. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{0.85 - 0.82}{0.0384}$

$Z = 0.78$

$Z = 0.78$ has a pvalue of 0.7823

1 - 0.7823 = 0.2177

21.77% probability that the proportion who are satisfied with the way that things are going in their life exceeds 0.85

5 0

3 years ago

**find x** …………………….

Nikitich [7]

Answer:

x=5

Step-by-step explanation:

4 downgrades to 3 by 1

that means 6 will downgrade to 5 by 1

hope this helped

6 0

3 years ago

Find the measure of C to the nearest degree.

Alisiya [41]

Let the ∠C be : θ

From the figure, We can see that the Side which is opposite to angle θ is measuring 7 units

Also, We can notice that Hypotenuse is 11 units

As we are dealing with opposite and hypotenuse, we can clearly use Sinθ to find out the angle θ

We know that :

$\bigstar \ \ \boxed{\sf{Sin\theta = \dfrac{Opposite \ Side}{Hypotenuse}}}$

$\implies \sf{Sin\theta = \dfrac{7}{11}}$

$\implies \sf{\theta = Sin^{-1}\bigg(\dfrac{7}{11}\bigg)}$

$\implies \sf{\theta = 39.52^{\circ}}$

Answer : The measure of ∠C to the nearest degree is 38°

3 0

3 years ago

What can polynomial identities apply to beyond just polynomials?

Nina [5.8K]

One polynomial identity that crops up often in various areas is the difference of squares identity:
A2-b2=(a-b) (a+b)
We meet this in the context of rationalising denominators.

6 0

3 years ago