Q and A for the topic: General

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}

A store finances a vehicle in 48 monthly installments of $499.00 at a rate of 18% per year Calculate the initial value of the vehicle

For the polar functions r = 2Cos 20, and the radial lines, graph and calculate the area of the region R inside the curve of the function

Typically, one in six detergent packages is not properly packaged. In a sample, 10 pieces are randomly checked. How big is the Probability that (a) none, (b) more than 5 of the checked packages are not properly packaged?

Gemma Ltd. in thousands of dollars Income 346.5 Profit before interest and taxes 27.1 Interest 6.2 Taxes 8.4 Current assets 252.7 Long-term assets 217.4 Current liabilities 215.5 Long-term liabilities 77.5 Equity 177.1 What is the ROS of Gemma Company? a) 16.21% b) 6.03% c) 7.82% d) 4.68% e) none of the above What is the AT of Gemma Company? a) 4.73% b) 1.36 c) 0.73 d) 0.62 e) none of the above What is the ROA of Société Gemma? a) 10.05% b) 6.36% c) 5.71% d) 4.40% e) none of the above

The digits 1, 2, 3, 4, and 5 are randomly aranged to form 3-digit number. (Digits are not repeated). Find the probability that the number is even and greater than 500.