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vazorg [7]
3 years ago
9

Find the derivative of f(x) equals -10 divided by X at x= -12

Mathematics
1 answer:
Keith_Richards [23]3 years ago
6 0
Explanation:
Find the Derivate -10/x

=10/x^2

Plug in -12 for x

10/(-12)^2


=5/72
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Gambling at a slot machine is an example of which reinforcement schedule?
gogolik [260]

Answer:

d. Variable ratio

Step-by-step explanation:

We are asked to determine that gambling at a slot machine is an example of which reinforcement schedule.

Let us see our given choices one by one.

a. Fixed ratio

We know that in fixed ratio schedule, reinforcement is delivered after the completion of a number of responses. An example of fixed ratio is a reward to every 6th response.

b. Fixed interval

We know that in fixed interval schedule the first response is rewarded only after a specified amount of time has elapsed. An example of fixed interval schedule is weekly paycheck.

c. Variable interval

We know that in variable interval schedule, the reinforcement is delivered at changing and unpredictable intervals of time.

d. Variable ratio

In variable ratio schedule, a response is reinforced after an unpredictable number of responses. Gambling and lottery are examples of variable ratio.

Therefore, option 'd' is the correct choice.

8 0
3 years ago
The University of Washington claims that it graduates 85% of its basketball players. An NCAA investigation about the graduation
Nonamiya [84]

Probabilities are used to determine the chances of events

The given parameters are:

  • Sample size: n = 20
  • Proportion: p = 85%

<h3>(a) What is the probability that 11 out of the 20 would graduate? </h3>

Using the binomial probability formula, we have:

P(X = x) = ^nC_x p^x(1 - p)^{n -x}

So, the equation becomes

P(x = 11) = ^{20}C_{11} \times (85\%)^{11} \times (1 - 85\%)^{20 -11}    

This gives

P(x = 11) = 167960 \times (0.85)^{11} \times 0.15^{9}

P(x = 11) = 0.0011

Express as percentage

P(x = 11) = 0.11\%

Hence, the probability that 11 out of the 20 would graduate is 0.11%

<h3>(b) To what extent do you think the university’s claim is true?</h3>

The probability 0.11% is less than 50%.

Hence, the extent that the university’s claim is true is very low

<h3>(c) What is the probability that all  20 would graduate? </h3>

Using the binomial probability formula, we have:

P(X = x) = ^nC_x p^x(1 - p)^{n -x}

So, the equation becomes

P(x = 20) = ^{20}C_{20} \times (85\%)^{20} \times (1 - 85\%)^{20 -20}    

This gives

P(x = 20) = 1 \times (0.85)^{20} \times (0.15\%)^0

P(x = 20) = 0.0388

Express as percentage

P(x = 20) = 3.88\%

Hence, the probability that all 20 would graduate is 3.88%

<h3>(d) The mean and the standard deviation</h3>

The mean is calculated as:

\mu = np

So, we have:

\mu = 20 \times 85\%

\mu = 17

The standard deviation is calculated as:

\sigma = np(1 - p)

So, we have:

\sigma = 20 \times 85\% \times (1 - 85\%)

\sigma = 20 \times 0.85 \times 0.15

\sigma = 2.55

Hence, the mean and the standard deviation are 17 and 2.55, respectively.

Read more about probabilities at:

brainly.com/question/15246027

8 0
3 years ago
Hich statement best describes a graph of paired points that form a proportional relationship?
Yanka [14]

Answer:

A. A straight line can be drawn through all the points and the line passes through the point (0,0) .

Step-by-step explanation:

See comment for options

Given

A graph with proportional relationship

Required

Which of options (a to d) describes the graph

A graph with a proportional relationship is represented as:

y = kx and

(x,y) = (0,0) is a paired point on the graph

This implies that options (b) and (c) are not true

Option (d) is also incorrect because if the graph does not pass through all points, then it is not proportional.

<em>Hence, (a) is correct</em>

6 0
3 years ago
Graphing Natural Exponential Functions In Exercise, sketch the graph of the function.
strojnjashka [21]

Answer:

Step-by-step explanation:

Graph:  f(x) = 1 - ex

You meant f(x) = 1 - e^x, where ^ represents exponentiation.

First, graph the parent function y = e^x.  The y-intercept of this graph is (0, 1), and the x-axis is the horizontal intercept.  The graph begins on the left in Quadrant 2 and continues upward in Quadrant 1.

Next, reflect this graph in the x-axis, due to the - sign in f(x) = 1 - e^x.  The y-intercept is (0, -1) and the horizontal asymptote is the x-axis.

Finally, translate the whole graph upward by 1 unit.

5 0
3 years ago
In the Central Grand Prix, out of 30 cars that started the race, 12 of them finished. What percent of the cars finished the race
zvonat [6]

Answer:

40% finished, which means that 60% did not.

Step-by-step explanation:

a = p*w

12 = p*30

12/30=p

.40 = p

40%

6 0
3 years ago
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