What is the sampling method used in the following scenario? The marketing manager for an electronics chain store wants information about the ages of its customers. Over the next two weeks, at each store location, 100 randomly selected customers are given questionnaires to fill out asking for information about age, as well as about other variables of interest.

Answers

Answer 1

Answer:

Step-by-step explanation:

The method applied in this scenario is called simple random sampling. A sample of 100 customers is chosen from a larger population of customers and each customer has the same chance of being selected for the survey at any given time. Also, the chance of selecting 100 customers from each store is the same during the sampling process. The order of sampling at each store does not follow a certain order, thus, It is different from systematic random sampling.

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A bookstore owner wants to collect data to find out customers' opinions of the variety of book genres available at the store. Which group should she survey to get the best random sample?A.
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thirty-five randomly selected customers who purchased books at the bookstore
C.
forty-five randomly selected people at the supermarket next door
D.
fifty randomly selected customers who visited the bookstore

Answers

Answer:

the answer would be D.

Step-by-step explanation:

I am not sure how to explain this but I hope this helped you

A cube has an edge of 3 feet. The edge is increasing at the rate of 4 feet per minute. Express the volumeof the cube as a function of m, the number of minutes elapsed.
Hint: Remember that the volume of a cube is the cube (third power) of the length of a side.

Answers

The volume of the cube can be expressed as a function of m, the number of minutes elapsed as V(m) = (3 + 4m)³ feet³.

What do we mean by volume?

The volume of an object is the total space occupied by the object in the three-dimensional space.

How do we solve the given question?

In the question, we are asked to express the volume of a cube as a function of m, the number of minutes elapsed. We are given that the initial length of the edge of the cube was 3 feet, and it increases at a rate of 4 feet per minute.

∴ We can say that the length of the edge after m minutes = 3 + 4m

As 4 feet is the increase per minute and m minutes have elapsed.

We know, that the volume of a cube is the cube of the length of the edge.

∴ The volume = (3 + 4m)³.

Hence, the function of the volume of the cube in m can be written as,

V(m) = (3 + 4m)³ feet³.

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Answer:

so it increases by 4 per minute

the volume of a cube is v=side^3

so the side length be 5+4m where m is the number of minutes

therefor the volume can be expressed as V(m)=(5+4m)³

Step-by-step explanation:

Last year, a baseball team paid $20 per bat and $12 per glove, spending a total of $552. They bought 34 pieces of equipment. What are a system of equations and an augmented matrix that can represent this situation

Answers

Answer:

20b +12g = 552
b + g = 34

$\left[\begin{array}{cc|c}20&12&552\n1&1&34\end{array}\right]$

Step-by-step explanation:

Two equations can be written: one for the total expense, and one for the number of pieces of equipment. The unknowns in this scenario are the numbers of bats and gloves, which we can represent using the variables b and g. Then the system of equations is ...

20b +12g = 552 . . . . . . equation for total expense

b + g = 34 . . . . . . . . . . . equation for pieces of equipment

The augmented matrix is the matrix of the coefficients in these equations:

$\left[\begin{array}{cc|c}20&12&552\n1&1&34\end{array}\right]$

_____

The solution to these equations is ...

(b, g) = (18, 16)

Final answer:

The system of equations representing this situation is 20b + 12g = 552 and b + g = 34. In augmented matrix form, this is [[20,12,552],[1,1,34]].

Explanation:

In this situation, we can represent the number of bats and gloves a baseball team bought as variables, let's say 'b' and 'g' respectively. From the query, we have two pieces of information which provide two equations:

20b + 12g = 552 (This represent the total cost of the bats and gloves)
b + g = 34 (This represents the total number of items bought)

In matrix form, we can put this system of equations in an augmented matrix as:

[[20,12,552],
[1,1,34]].

Learn more about System of Equations here:

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-2a+5b-7-5a+b-4

please help lol

Answers

Answer:

-7a+6b-11

Step-by-step explanation:

-2a+5b-7-5a+b-4

Taking like term together

= -2a-5a+5b+b-7-4

= -7a+6b+11

The popular candy Skittles comes in 5 colors. According to the Skittles website, the 5 colors are evenly distributed in the population of Skittle candies. So each color makes up 20% of the population. Suppose that we purchase a small bag of Skittles. Assume this size bag always has 40 candies. In this particular bag 10 are green. What is the probability that a randomly selected bag of this size has 10 or more green candies

Answers

Answer:

27.76% probability that a randomly selected bag of this size has 10 or more green candies

Step-by-step explanation:

I am going to use the normal approximation to the binomial to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$√(V(X)) = √(np(1-p))$

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = (X - \mu)/(\sigma)$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = √(V(X))$ .

In this problem, we have that:

$n = 40, p = 0.2$

$\mu = E(X) = np = 40*0.2 = 8$

$\sigma = √(V(X)) = √(np(1-p)) = √(40*0.2*0.8) = 2.53$

What is the probability that a randomly selected bag of this size has 10 or more green candies

Using continuity correction, this is $P(X \geq 10 - 0.5) = P(X \geq 9.5)$ , which is 1 subtracted by the pvalue of Z when X = 9.5. So

$Z = (X - \mu)/(\sigma)$

$Z = (9.5 - 8)/(2.53)$

$Z = 0.59$

$Z = 0.59$ has a pvalue of 0.7224

1 - 0.7224 = 0.2776

27.76% probability that a randomly selected bag of this size has 10 or more green candies

Answer:

$P(x\geq 10)=0.2682$

Step-by-step explanation:

The number x of green candies in a bag of 40 candies follows a binomial distribution, because we have:

n identical and independent events: 40 candies
a probability p of success and (1-p) of fail: a probability of 0.2 to get a green candie and 0.8 to doesn't get a green candie.

So, the probability that in a bag of 40 candies, x are green is calculated as:

$P(x)=(n!)/(x!(n-x)!)*p^(x)*(1-p)^(n-x)$

Replacing, n by 40 and p by 0.2, we get:

$P(x)=(40!)/(x!(40-x)!)*0.2^(x)*(1-0.2)^(40-x)$

So, the probability that a randomly selected bag of this size has 10 or more green candies is equal to:

$P(x\geq 10)=P(10)+P(11)+...+P(40)\nP(x\geq 10)=1-P(x<10)$

Where $P(x<10)=P(0)+P(1)+P(2)+P(3)+P(4)+P(5)+P(6)+P(7)+P(8)+P(9)$

So, we can calculated P(0) and P(1) as:

$P(0)=(40!)/(0!(40-0)!)*0.2^(0)*(1-0.2)^(40-0)=0.00013\nP(1)=(40!)/(1!(40-1)!)*0.2^(1)*(1-0.2)^(40-1)=0.00133$

At the same way, we can calculated P(2), P(3), P(4), P(5), P(6), P(7), P(8) and P(9) and get that P(x<10) is equal to:

$P(x<10)=0.7318$

Finally, the probability $P(x\geq 10)$ that a randomly selected bag of this size has 10 or more green candies is:

$P(x\geq 10)=1-P(x<10)\nP(x\geq 10)=1-0.7318\nP(x\geq 10)=0.2682$

Geometry Question Number 16

Answers

Answer:

No, the friend is not correct.

Step-by-step explanation:

The friend is not correct because let's call the three lines line A, line B, and line C. The line intersection says that if two lines intersect, then there will be one point of intersection. Therefore, we have to count all pairs of lines between line A, B, and C. Lines A and B can intersect, lines B and C can intersect, and lines A and C can intersect. Therefore there will be 3 lines of intersection, not 2.

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