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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 <span>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 </span>30240.

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he sum of the first two terms of a G.P is 27 whereas the sum of the second and third term is 54. Find the first term and the com

viktelen [127]

Answer:

${ \tt{sum = \frac{a(r {}^{n - 1} )}{n - 1} }} \\ 27 = \frac{a(r {}^{2 - 1} )}{2 - 1} \\ { \bf{27 = ar - - - (i)}} \\ \\ 54 = \frac{a( {r}^{3 - 1} )}{3 - 1} \\ { \bf{108 = a {r}^{2} - - - (ii) }} \\ { \tt{(ii) \div (i) : }} \\ r = \frac{108}{27} \\ { \bf{common \: ratio = 4}} \\ { \bf{first \: term = \frac{27}{4} }}$

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3 years ago

What is the equation in slope-intercept form of the linear function represented by the table?

umka2103 [35]

Answer:

y = -x + 9

Step-by-step explanation:

You are given (-5,14), (-2,11), (1,8), and (4,5). Your first objective is to find the slope.

Slope is delta y divided by delta x - the amount of height the graph gains divided by the amount of horizontal length the graph gains. Take any two points and plug it into this: $\frac{y_{2}-y_{1} }{x_{2}-x_{1}}$ .

i.e. (-2,11) and (4,5): $\frac{11-5}{-2-4}$ which is $\frac{6}{-6}$ , or -1. Thus, the slope is -1.

We now have y = -1(x) + b, or just y = -x + b.

Next, find the y-intercept. Set the value of x to 0, as the y-intercept is found along the y-axis, which is at the horizontal center of the graph, 0. We now know that the y-intercept is (0,y). To find the y-value, plug one of the coordinate pairs of choice into x and y.

i.e. (-5,14): 14 = (-1)(-5) + b

14 = 5 + b

14 - 5 = 5 + b - 5

9 = b

So, the y-intercept is (0,9).

Finally, the equation is:

y = -x + 9

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2 years ago

A pipe extends from ground level to a location under the ground. Two-fifths of the way down the pipe, there is a leak. The leak'

AleksAgata [21]

Answer: -15.5

Step-by-step explanation:

I took the test

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2 years ago

Evaluate x divided 4 for x=48

scoray [572]

You have to divide 48 by 4. How many times does 4 go into 48.....................12 times.

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3 years ago

Why is it important to check all solutions to radical equations?

aleksklad [387]

Hello.

The solutions found to radical equations are not necessarily viable. They sometimes result in inequalities, and have to be checked.

Hope I helped.

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3 years ago

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