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2 years ago

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A local coffee store is curious about the size beverages their customers are ordering. The beverages come in three sizes: small,

medium, and large. An employee runs a simulation of 15 random outcomes using the values 1, 2, and 3 to represent small, medium, and large, respectively. What is the simulated probability that a customer will order the small beverage? 2 2 3 1 1 2 2 3 1 1 3 2 1 1 3

2 answers:

Digiron [165]2 years ago

6 0

Answer:

2 out of 5 or 6 out of 15

Step-by-step explanation:

In this pattern, there is two people ordering it every five times. You can write it out as 6/15 or simplify it as 2/5 (six-fifteenths and two-fifths)

lara31 [8.8K]2 years ago

4 0

<h2>Answer:</h2>

The simulated probability that a customer will order the small beverage is:

$\dfrac{2}{5}=0.4$

<h2>Step-by-step explanation:</h2>

The 1, 2, and 3 to represent small, medium, and large, respectively.

The simulation is as follows:

2 2 3 1 1 2 2 3 1 1 3 2 1 1 3

There are a total outcomes= 15

Also, the number of outcomes that the customer will order small beverage is: 6

( Since, 6 times such that 1 has occurred.

As 1 represent the simulation that the beverage comes in small size )

Hence, the simulated probability is:

$\dfrac{6}{15}=\dfrac{2}{5}=0.4$

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1) The probability of drawing a pink chip from a bowl of different-colored chips is 0.35, theprobability of drawing a blue chip

docker41 [41]

Answer:

1) 0.5 or 50%.

2) Order does not matter: 3,003 combinations.

Order matters: 360,360 permutations.

Step-by-step explanation:

1) The probability of drawing either a purple or a blue chip is the sum of both individual probabilities:

$P(B\ or\ P) = P(B) +P(P) = 0.46+0.04\\P(B\ or\ P) = 0.50$

the probability that a blue or a purple chip will be drawn is 0.5 or 50%.

2)

a) Choose 5 items from a total of 15 items when order does not matter:

$C(15,5) = \frac{15!}{(15-5)!5!}=\frac{15*14*13*12*11}{5*4*3*2*1}\\C(15,5) = 3,003$

b) Choose 5 items from a total of 15 items when order matters:

$P(15,5) = \frac{15!}{(15-5)!}=15*14*13*12*11}\\P(15,5) = 360,360$

7 0

2 years ago

Consider the inverse function. Which conclusions can be drawn about f(x) = x2 + 2? Select three options. f(x) has a limited rang

PolarNik [594]

Answer:

f(x) has a limited range

f(x) has a maximum at the point (0, 2)

f(x) has a y-intercept at the point (0, 2).

Step-by-step explanation:

Given the function;

f(x) = x^2+2

The domain is the value of the input variables for which the function will exist. According to the expression given, the function exists on all real values of x. The same goes with range which deals with the output values. It also exists on all real values from 2 and above.

Hence f(x) have a limited range (since values less than 2 are not included compare to domain that exists on all real values) and does not have a restricted domain.

For the x intercept, x intercept occur at y = 0

substitute y = 0 into the function and get y

if y = f(x)

y = x^2+2

0 = x^2 + 2

x^2 = -2

x = 2i

Hence f(x) does not have an x-intercept of (2, 0)

For the y intercept, y intercept occur at x = 0

substitute x = 0 into the function and get y

if y = f(x)

y = x^2+2

y = 0^2 + 2

y = 2

Hence f(x) has a y-intercept at point (0, 2)

f(x) is at maximum if d(fx))/dx = 0

d(fx))/dx = 2x

since d(fx))/dx = 0

0 = 2x

x = 0

substitute x = 0 into the function

f(x) = x^2 + 2

y = 0^2+2

y = 2

Hence f(x) has a maximum at the point (0, 2)

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1 year ago

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A potter is creating a design for a red-colored urn. He starts with the design shown on the coordinate grid.

DaniilM [7]

Given:

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ipn [44]

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2 years ago

Three copies of this rectangle were connected along a side to make a larger rectangle. What could the perimeter of the new recta

cupoosta [38]

Answer:

388in or 202in

Step-by-step explanation:

I decided to connect three copies of this rectangle, all along the right side of the rectangle in the picture above.

When this is done the new length along the bottom and top become 45×4=180.

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2 years ago