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olga2289 [7]
3 years ago
9

F(x) = -1/3x find the average rate of change of f from -2 to 2

Mathematics
1 answer:
Bas_tet [7]3 years ago
8 0
Average rate=(change in y)/(change in x)

if f(x)=-x/3

r=( f(2)-f(-2) )/(2--2)

r=(-2/3-2/3)/(2+2)

r=(-4/3)/4

r=-4/12

r=-1/3

For a line, this is always true, since all lines have a constant velocity, the average velocity over any interval is equal to the slope.

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Find the expected value and the variance of the number of times one must throw a die until the outcome 1 has occurred 5 times.
Kazeer [188]

Answer: E(X) = 30; Var[X] = 180

Step-by-step explanation: This is a <u>Bernoulli</u> <u>Experiment</u>, i.e., the experiment is repeated a fixed number of times, the trials are independents, the only two outcomes are "success" or "failure" and the probability of success remains the same, So, to calculate <em><u>Expected</u></em> <em><u>Value</u></em>, which is the mean, in these conditions:

E(X)=\frac{r}{p}

r is number of times it is repeated

p is probability it happens

Solving:

E(X)=\frac{5}{1/6}

E(X) = 30

<u>Variance</u> is given by:

Var[X]=\frac{r(1-p)}{p^{2}}

Var[X]=\frac{5(1-1/6)}{(1/6)^{2}}

Var[X]=5.\frac{5}{6}.6^{2}

Var[X] = 180

Expected Value and Variance of the number of times one must throw a die until 1 happens 5 times are 30 and 180, respectively.

4 0
3 years ago
Please help me I am confused
nadezda [96]

Answer: X= 11

Step-by-step explanation:

3 0
3 years ago
(Set up and solve the system, then answer the associated question)
Dimas [21]

9514 1404 393

Answer:

  • red division: 6 teams
  • blue division: 5 teams

Step-by-step explanation:

We can let r and b represent the numbers of teams in the red and blue divisions, respectively. The total number of goals scored in each division will be the average for that division times the number of teams in that division.

  r - b = 1 . . . . . . there is 1 more red team than blue

  4.5r +4.2b = 48 . . . . . . total goals scored per week

__

Solving by substitution, we have ...

  r = b +1

  4.5(b +1) +4.2b = 48 . . . . substitute for r

  8.7b +4.5 = 48 . . . . . . . . simplify

  8.7b = 43.5 . . . . . . . . . . subtract 4.5

  b = 43.5/8.7 = 5 . . . . . divide by 8.7

  r = b +1 = 6 . . . . . . . . . find r

There are 6 red teams and 5 blue teams.

_____

<em>Additional comment</em>

The basic idea is that you make an equation for each relation given in the problem statement. For a problem like this, you do need to have an understanding of how the average number of goals would be calculated and how that relates to the total goals.

8 0
2 years ago
Which number line represents the solution set for the inequality 4(x + 3) 5 2 2X?
tatuchka [14]

Answer:

-2

Step-by-step explanation:

6 0
3 years ago
I really need help I don’t understand this that well
marin [14]

Answer:

They give you the answer just keep going until you get the same answer or use the inverse of what they did

Step-by-step explanation:

6 0
3 years ago
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