Determine whether the following examples are discrete or continuous data sets. (a) The length of time it takes to fill up your gas tank. (b) The number of students applying to graduate schools. (c) The number of voters who vote Democratic. (d) The number of customers waiting in line at the grocery store

Answers

Answer 1
Answer:

(a) The length of time it takes to fill up your gas tank - Continuous

(b) The number of students applying to graduate schools - Continuous

(c) The number of voters who vote Democratic - Discrete

(d) The number of customers waiting at the grocery store-Discrete

What is the difference between continuous and discrete data?

Continuous data can have an infinite range of values while Discrete data can take some certain values only.

Let us consider the given examples

a) The length of time it takes to fill up your gas tank.

In this case, the time duration can be of a wide range. Time taken while filling up a gas tank can take many values. So it is an example of continuous data.

b) The number of students applying to graduate schools.

In this case, the number of students applying to graduate schools can be of a wide range. it can be n number of values. So it is an example of continuous data.

c)The number of voters who vote Democratic.

The number of voters who vote can be of a certain value. Hence, this is an example of discrete data.

d)The number of customers waiting in line at the grocery store.

The number of customers waiting in line at the grocery store can be of a certain value. Hence, this is an example of discrete data.

Therefore, we can say that

(a) The length of time it takes to fill up your gas tank - Continuous

(b) The number of students applying to graduate schools - Continuous

(c) The number of voters who vote Democratic - Discrete

(d) The number of customers waiting at the grocery store-Discrete

To get more about continuous and discrete data refer to the link,

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Answer 2
Answer:

Answer:

(a) The length of time it takes to fill up your gas tank - CONTINUOUS

(b) The number of students applying to graduate schools - CONTINUOUS

(c) The number of voters who vote Democratic - DISCRETE

(d) The number of customers waiting in line at the grocery store - DISCRETE

Step-by-step explanation:

To determine either the set of data are discrete or continuous, let consider their characteristics.

CONTINUOUS

continuous data is quantitative data, It can be measured, it has an infinite values within selected range.

DISCRETE

Discrete data is counted, it can only take certain values.


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A company produces two products, A and B. The sales volume for A is at least 80% of the total sales of both A and B. However, the company cannot sell more than 110 units of A per day. Both products use one raw material, of which the maximum daily availability is 300 lb. The usage rates of the raw material are 2 lb per unit of A, and 4 lb per unit of B The profit units for A and B are $40 and $90, respectively. Determine the optimal product mix for the company

Answers

Answer:A=100 , b=25

Step-by-step explanation:

Let sales of A be x and sales of  B be y

Thus x\geq 0.8(x+y)

x\geq 4y

Also maximum A available is 110\geq x

300\geq 2x+4y

150\geq x+2y

We have find the optimal solution for

z=40x+90y

Optimal solution points

(100,25) z=40* 100+90* 25=6250

(110,20) z=40* 110+90* 20=6200

(110,0) z=40* 110+90* 0=4400

Thus for A=100 and B=25 Optimal solution is obtained

Final answer:

The optimal product mix problem involves maximizing profit given certain constraints. The constraints can be expressed in terms of inequalities which can be solved using linear programming techniques such as the corner point theorem or the simplex method.

Explanation:

The subject of this problem is to determine the optimal product mix of two products, A and B, produced by a company. This is guided by several constraints including sales volumes, maximum output, raw material availability, and profit units.

From the problem, we have two constraints. Firstly, sales of A must be at least 80% of the total sales of A and B, and no more than 110 units of A can be sold per day. Secondly, the company cannot use more than 300 lbs of the raw material per day with usage rates of 2 lbs per unit of A and 4 lbs per unit of B.

Let the quantity of A and B sold per day be x and y respectively. The profit is given by the expression 40x + 90y. We need to maximize this expression based on the constraints. The constraints can be expressed as follows:

  1. x ≥ 0.8(x + y), this is the sales volume constraint.
  2. x ≤ 110, this is the maximum sales constraint.
  3. 2x + 4y ≤ 300, this constraint arises from the raw material availability.

These constraints form a linear programming problem. By plotting these inequalities on a graph and finding the feasible region, we can use the corner point theorem or simplex method to find the optimal solution.

Learn more about Optimal Product Mix here:

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A basket of fruit contains 4 bananas, 3 apples, and 5 oranges. You intend to draw a piece of fruit from the basket, keep it, and then draw a 2nd piece of fruit from the basket. What is the probability of selecting two oranges in a row from the basket if you are blindfolded?

Answers

Answer: 5/33

Step-by-step explanation: There are 12 fruits and 5 are oranges.

If you draw an orange, then there are 11 fruits and 4 oranges. (5/12)x(4/11)=20/132 or 5/33 in simplest form.

Which of the following is the graph of (x + 1)2 + (y − 6)2 = 36?

Answers

Answer:

Step-by-step explanation:

Slope:  

−1

y-intercept:  

23

Heyy!:)
So
(X+1)2+(y-6)2=36

To Find x-intercept/zero substitute y=0
So it’s goin to be like this ;
(X+1)x2(0-6)x2=36


Solve the Equation for X
Answer;x=23 :)

98 points to answerFor the parallelogram, find the value of the variables. Show your work.

Answers

i think that the answe is 17

Answer:

17

Step-by-step explanation:

Would you mind giving me brainliest?

Factorise [8x^{2}-30x-27=0

Answers

Answer:

Step-by-step explanation:

8x² - 30x - 27 = 0

8 = 4 * 2

-27 = -9 * 3

-30 = 4*(-9) + 2*3

so (4x + 3)(2x - 9) = 0

A bag contains 10 marbles. Four of them are red, three blue, two white and one yellow. A marble is drawn at random. What is the probability it is not blue?

Answers

Probability =
(number of different successful results) / (number of all possible results) .

Number of marbles that are not blue = 7
Number of marbles in the bag = 10
Probability that one marble drawn at random is not blue = 7/10 = 70% .

For all probability questions of this type, the probability can be found as:
P_(desired)=(desired)/(total)

or, more simply:
P_(x)=(n_(x))/(n_total)

In this case:
P_(notblue)=(notblue)/(total)
P_(notblue)=(red+white+yellow)/(red+blue+white+yellow)
P_(notblue)=(4+2+1)/(4+3+2+1)
P_(notblue)=(7)/(10) = 70\%