A tile pattern decreases by 3 tiles. Figure 2 of the pattern has 4 tiles. Use y=mx+b

A restaurant has an electronic system that randomly selects customers when they pay for their meal to

polet [3.4K]

Using the binomial distribution, it is found that there is a 0.81 = 81% probability that NEITHER customer is selected to receive a coupon.

For each customer, there are only two possible outcomes, either they receive the coupon, or they do not. The probability of a customer receiving the coupon is independent of any other customer, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.
n is the number of trials.
p is the probability of a success on a single trial.

In this problem:

For each customer, 10% probability of receiving a coupon, thus $p = 0.1$ .
2 customers are selected, thus $n = 2$

The probability that <u>neither receives a coupon is P(X = 0)</u>, thus:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{2,0}.(0.1)^{0}.(0.9)^{2} = 0.81$

0.81 = 81% probability that NEITHER customer is selected to receive a coupon.

A similar problem is given at brainly.com/question/25326823

7 0

3 years ago

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mojhsa [17]

I- please ask a question. This is not a question

7 0

3 years ago

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A bag contains 14 green, 12 orange and 19 purple tennis balls.

Nataliya [291]

Answer:

See explanation

Step-by-step explanation:

There are 14 green, 12 orange and 19 purple tennis balls in the bag,

$14+12+19=45$ balls in total.

A. The propbabilities that

a randomly chosen ball from the bag is green $=\dfrac{14}{45};$

a randomly chosen ball from the bag is orange $=\dfrac{12}{45}=\dfrac{4}{15};$

a randomly chosen ball from the bag is purple $=\dfrac{19}{45}.$

A probability model for choosing a tennis ball from the bag is

$\begin{array}{lccc}\text{Ball}&\text{Green}&\text{Orange}&\text{Purple}\\ \\\text{Probability}&\dfrac{14}{45}&\dfrac{4}{15}&\dfrac{19}{45}\end{array}$

B. Suppose a tennis ball is randomly selected and then replaced 75 times. You can expect that orange ball appear

$\dfrac{4}{15}\times 75=4\times 5=20$ times

5 0

3 years ago

Sketch a graph of the polynomial function f(x) =x3− 2x2. Use it to complete the following:

AlladinOne [14]

Answer:

We have the function:

f(x) = x^3 - 2*x^2

To sketch this, we need to graph some points, and then just draw a line that passes through the points.

The graph of this equation is shown below.

Now we can complete the question.

If the graph is below the x-axis in some interval, the function is negative in that interval

If the graph is above the x-axis in some interval, the function is positive in that interval.

If the graph goes up in a interval, then the function is increasing in that interval

If the graph goes down on an interval, then the function is decreasing in that interval.

Then:

1) f is------ on the intervals (−∞, 0) and (0, 2).

Here we can see that the graph is below the x-axis in those intervals, then here we have:

f is negative on the intervals (−∞, 0) and (0, 2).

2) f is------ on the interval (2,∞)

Here the answer is positive:

f is positive on the interval (2,∞)

3) fi is ------ on the interval (0, 4/3)

In the graph, you can see that the graph goes down in that interval, then the correct answer here is:

f is decreasing on the interval (0, 4/3)

4) f is------ on the intervals (−∞, 0) and (4/3, ∞).

In this case, we can see that the graph goes up in these intervals, then the correct answer here is:

f is increasing on the intervals (−∞, 0) and (4/3, ∞).

5 0

3 years ago

64cm is equal to how many mm

eduard

64 cm is 640 mm.

Hope this helps!

8 0

4 years ago

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