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2 years ago

At 9AM on a Monday, five Starbucks are chosen and all customers are asked to participate in a survey.

Mathematics

1 answer:

Olegator [25]2 years ago

4 0

Answer:

random sampling

Step-by-step explanation:

There are no rules or criteria that are set to choose which Starbucks are chosen to be surveyed.

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Assume the random variable x has a binomial distribution with the given probability of obtaining a success. Find the following.

borishaifa [10]

Answer:

P(x > 10) = 0.6981.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

In this question:

$n = 14, p = 0.8$

P(x>10)

$P(x > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14)$

In which

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

$P(X = 11) = C_{14,11}.(0.8)^{11}.(0.2)^{3} = 0.2501$

$P(X = 12) = C_{14,12}.(0.8)^{12}.(0.2)^{2} = 0.2501$

$P(X = 13) = C_{14,13}.(0.8)^{13}.(0.2)^{1} = 0.1539$

$P(X = 14) = C_{14,14}.(0.8)^{14}.(0.2)^{0} = 0.0440$

$P(x > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) = 0.2501 + 0.2501 + 0.1539 + 0.0440 = 0.6981$

So P(x > 10) = 0.6981.

8 0

3 years ago

Write the augmented matrix for each system of equations.

Fudgin [204]

<u>We are given the equations: </u>

10x = 10

-5x - 8y = 9

Since we don't have a coefficient of y in the first equation, we will rewrite the first equation as:

10x + 0y = 10

<u>Writing an Augmented matrix for the 2 equations:</u>

10x + 0y = 10

-5x - 8y = 9

$\left[\begin{array}{ccc}10&0|&10\\-5&-8|&9\end{array}\right]$

5 0

3 years ago

Surface area of a cube or a rectangular prism

suter [353]

Answer:

96 cm^2

Step-by-step explanation:

All faces of a cube are equal in area.

Therefore the Formula for SA of a cube is 6*s^2

SA = 6*4*4 = 96

5 0

2 years ago

Write a simplified expression for the length of AC.

Elena L [17]

Answer:

see below

Step-by-step explanation:

Using the segment addition postulate

AB + BC = AC

x+2 + 7x-3 = AC

Combine like terms

8x -1 = AC

Using the segment addition postulate

PQ + QR = PR

8y+5 + QR = 13y+25

Subtract 8y from each side

5 + QR = 13y-8y+25

5 + QR = 5y+25

Subtract 5 from each side

QR = 5y+25-5

QR = 5y+20

3 0

3 years ago

Prove: If a chord of a circle has a common end point with a diameter and makes an angle of 30° with it, prove that the distance

nignag [31]

Step-by-step explanation:

The perpendicular distance between the chord and the center of the circle forms a right triangle with the chord and the radius. Using trig:

sin 30° = x / (D/2)

sin 30° = 2x / D

1/2 = 2x / D

x = D/4

6 0

2 years ago