Q and A for the topic: General

2# uses the second derivative criterion to calculate the local maxima and minima of the following functions: f(x) =x4 -8x²+3

A vector acts at the origin in a direction defined by the angles ∅y=65° and ∅z=40°. Knowing that the component of the x-axis vector is 7, determine the missing components and draw the angle ex

Mr. PELAGIE has a sum of €30,000. He decides to invest the entire amount in stocks from the LEONARD company. The risk-free rate is 5%, the expected profitability of this portfolio of securities is 12%, that of the market portfolio is 10%. The volatility of LEONARD stock is 30%. The volatility of the market security is 13%. What is the composition of the portfolio with the minimum volatility, but which offers the same profitability than that of the LEONARD share?

Question 1: You take a statistics exam. The test is a multiple choice questionnaire comprising 7 independent questions. Each question has 9 possible answers, 3 of which are correct. A student is considered to have answered a question correctly if and only if all 3 correct answers have been selected. You will pass the exam if you answer at least 4 questions correctly. We assume that for each question you randomly choose 3 answers. You answer the first question of the exam by randomly choosing 3 answers. What is the probability that you chose all 3 correct answers?

simplify 2(3u+1)-5

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 24yr to 40yr

Assume that hybridization experiments are conducted with peas having the property that for offspring, there is a 0.25 probability that a pea has green pods. Assume that the offspring peas are randomly selected in groups of 28. Complete parts (a) through (c) below. a. Find the mean and the standard deviation for the numbers of peas with green pods in the groups of 28. b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high. c. Is a result of 1 peas with green pods a result that is significantly low? Why or why not?

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 30:24

Let the quadratic function be 𝑓(𝑥)=𝑥2−4𝑥+1, determine: ▪ The concavity ▪ The vertex ▪ Intersections with the axes (𝑥 and 𝑦) (if there are

Convert 0.75 into percentage

If you have $10 with which to buy some pens for $1.75 each, how many can you buy?

What is 5/9 as a decimal number, rounded to two decimal places?

What is 7/9 as a decimal number, rounded to two decimal places?

If the price of a box of cereal is $4.54, how much is this when rounded to the nearest ten cents? Include the dollar sign, two decimal places and no spaces in your answer.

In each 300mL bottle they pour 50mL of concentrate and fill the bottle the rest of the way with water. What is the ratio of concentrate to water used, in lowest terms?

the average income of Australian males was approximately $60,000 and the average income of Australian females was approximately $40,000. What is the ratio of male income to female income, in lowest terms?

The price of a fridge, inclusive of 10% GST, is $14224.50. What is the GST component of this price, rounded to two decimal places?

Let E={a,b,c,b} and F={1,2,3} Show that no pair of p(E×F) is included in {A×B,A€E,B€F}

f(-1)=x^3 +1.5x^2 +2

f(x)=x^(3)-5x+5, evaluate f(-1)