Q and A for the topic: General

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From the receipts of an Oxxo store it appears that from 8 to 10 in the morning purchases are (x) 54, 48, 58, 50, 25, 47, 62, 75, 46, 60, 70, 62, 67, 68, 39, 35, 56, 66, 33, 62, 65, 67 (AND) 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22 Find Half Variance Determine the correlation If it is greater than .80, perform linear regression

Show that f (x) = sin(1/x) defined at (0, 1] is continuous.

Mathematician Euler understood that it is possible to discover the number of edges in a solid with the number of faces and vertices. In this way, it was possible to understand the total volume of three-dimensional objects. In an area of Maria's house, a cube-shaped aquarium will be built, which will be installed in the courtyard of her house. However, Maria would like to know the total volume of this cube, to know how much water she will use. As data, we have: the aquarium will be 1 meter high, 50 cm long and 70 cm deep. Regarding the total volume of the cube, analyze the following sentences: I- The volume will be 0.35 m3, that is, 350 liters. II- The volume will be 35 m3, that is, 3,500 liters. III- The volume will be 0.35 m3, that is, 3,500 liters

José needs to calculate the midpoint of the coordinate points of his test. We understand that calculating the midpoint is important to understand the location of future calculations in geoprocessing. We know that, to calculate the point M(xm,ym), the coordinate point of the segment is described as follows: A1(x1,y1) and A2(x2,y2). José's teacher gave the following data: A1 (2.2) and A2 (6.6). Regarding the midpoint, analyze the following sentences: I- For point X, we use the following formula: xm = ((x1+x2)/2). II- For point Y, we use the following formula: ym= ((y1+Y2)/2). III- The correct answer about the midpoint of segments A1 (2,2) and A2 (6,6) is: 4,4. IV- The correct answer about the midpoint of segments A1 (2,2) and A2 (6,6) is: 3.4

If the mean and the standard deviation of a continuous random variable that is normally distributed are 30 and 4.3, respectively, find an interval that contains 67% of the distribution

Using set algebra, show that: A - [ B - (A ∩ B) ] = A

At time t=0,a seed is planted.After T weeks, the height of the plant is given by F(t)=0.3t²+0.6t+0.5inches. At what rate is the plant growing after 8 weeks

4/9÷6

An appliance is advertised for $200.00 to be paid in cash or in five equal monthly installments, the first being paid 30 days after purchase. Calculate the value of the installments, at a rate of 5% per month

A 6-cylinder engine has a bore of 80 mm and a stroke of 95 mm. Calculate the total displaced volume of the engine in litre (to 3 decimal point.

For the polar functions of r = V3 Cos 20, calculate the radial lines, graph and calculate the area of the region inside the curve

What is the modal number for the below data set 1 8 10 2 9 4 15 7 11 3

The policy of the company is to keep absenteeism within a average of 1 day per month per employee.The average of absenteeism per employee is 6.60 days.Is the company successful in managing its absenteeism level, as per the above statement. Employee number of days absent 1 8 10 2 9 4 15 7 11 3

1. A company markets 2 products: the PV excluding VAT of product A is €74.37 with a margin of 0.5 the PV excluding VAT of product B is €111.55 with a margin of 1 The company's fees are as follows: - 2 independent sellers, each dealing with a product, earning €1,487.36 per month each and €2.97 per product sold for product A; €1.98 per product sold for product B. - packaging costs are €0.07 each for product A and €0.05 part for product B. - secretarial and administrative costs amount to €94,199.54 per year - the warehouse costs €12,394.68 per year. - market research costs amount to €24,789.35 per year for product A and 19 €831.48 per year for product B. The quantities sold this year are 4,000 units for product A and 5,000 units for product B. a) Calculate the profitability of the year for product A knowing that the distribution key of common fixed costs is 60% for A.

A car rental company has three car models to rent. The cheapest one is rented for 15 euros per day; the intermediate model, for 25; and the most expensive, for 40. The fleet consists of a total of 100 cars. We know that if one day the company rents all its cars, its income will be 2,225 euros. We also know that one day when the company rented half of the cheapest cars, a fifth of the intermediate ones and only one of the most expensive, its income was 590 euros. How many cars of each model does the company have?

Gasoline fuel Mixed Performance: 4.2 liters per 100 km Note: "The mixed performance is calculated on a trip that considers part of the trip on the highway and another in the city." Indications: Enter decimal numbers by rounding to 2 decimal places, using a comma for the decimal. Example: 4.5657 --> 4.57 Enter numbers greater than one thousand without a thousand separator period. Example: 34600 a) How far does the vehicle travel with 1 liter of fuel? Score: 5 points Answer: The distance the vehicle travels with 1 liter of fuel is Answer km

Héctor decides to buy his first vehicle, after carrying out an analysis in the market he decides to buy the Great Wall M4 vehicle which has the following characteristics: Gasoline fuel Mixed Performance: 4.2 liters per 100 km Note: "The mixed performance is calculated on a trip that considers part of the trip on the highway and another in the city." Indications: Enter decimal numbers by rounding to 2 decimal places, using a comma for the decimal. Example: 4.5657 --> 4.57 Enter numbers greater than one thousand without a thousand separator period. Example: 34600 a) How far does the vehicle travel with 1 liter of fuel? Score: 5 points Answer: The distance the vehicle travels with 1 liter of fuel is Answer km

01. Let 𝑈 = {−2; 1; 0;1/2;3/4; 2;10/3; 4; −5}. Explain the elements of each of the following sets: a) {𝑥 ∈ 𝑈/𝑥 − 4 < 0} b) {𝑥 ∈ 𝑈/𝑥 2 − 6𝑥 + 8 < 0} c) {𝑥 ∈ 𝑈/4 − 𝑥 ≤ 0} d) {𝑥 ∈ 𝑈/𝑥 2 + 1 ≤ 0}

02. Let 𝑈 = {−1;1/2; two; 4;1/3; 5}. Check whether or not the following pairs A and B of sets are equal: a) 𝐴 = {𝑥 ∈ 𝑈/𝑥 + 1 = 3} and 𝐵 = {𝑥 ∈ 𝑈/2𝑥 − 3 = 1} b) 𝐴 = {𝑥 ∈ 𝑈/𝑥 < 0} and 𝐵 = {𝑥 ∈ 𝑈/𝑥 + 1 = 0} c) 𝐴 = {𝑥 ∈ 𝑈/0 < 𝑥 < 5} and 𝐵 = {𝑥 ∈ 𝑈/0 ≤ 𝑥 ≤ 5 } d) 𝐴 = {𝑥 ∈ 𝑈/𝑥 2 − 5𝑥 + 6 = 0} and 𝐵 = {𝑥 ∈ 𝑈/𝑥 < 5}