Q and A for the topic: General

You have 400 feet of fencing to construct a rectangular pen cattle.what are the dimensions of the pen that maximizes the area?

Explain why the first derivative can be used to determine over what intervals a function is increasing or decreasing?

Explain how to determine the concavity off f(x) given the equation of the second derivative?

Working in base 8, state a divisibility criterion for each of the following numbers: 2,3,4,7 and 10 in base 8. Justify each of these rules. Don't forget to leave traces of your construction of each of the rules

Rewrite this precent to a fraction in its lowest term. 92%

Change percent to a fraction in its lowest term. 480%

develop, Suppose that the manuscript of a study text has a total of 50 errors in 500 pages of material. The errors are distributed randomly throughout the text. What is the probability that: a) a 30-page chapter has two or more errors. b) a randomly selected page has no errors.

You add 400ml of pure water to 600ml of a 35% acid solution. What is the concentration of acid in the resulting mixture

If an amount of $5,000 is invested at a simple interest rate of 3.5% interest per year, how much additional money must be invested at a simple interest rate of 5% per year to ensure that the interest each year is 4% of the total amount invested?

For his breakfast, Kelvin takes a 75 g bowl of cereal with 150 mL of milk and a 100 mL glass of orange juice. Does this breakfast provide enough kilocalories (kcal)? Representation of the different products: - 30 g of cereals (124 Kcal) - 200 ml of orange juice (98 Kcal) - 100 ml of milk (58 Kcal)

Perform the operations |-27|-72+|-12|+(-49)

Simplify -3[16*(-2)]

A company pays $2145 for 13 sheets of stainless steel. What was the cost per sheet?

m&m Skittles Brown 46 0 Green 15 37 Red 28 23 Yellow 33 32 Orange 18 35 Blue 17 0 Purple 0 38 What is the probability a randomly selected candy is an m&m and a Skittle? What type of events are these?

Suppose on this road trip there was limited room (hence the heinous crime of mixing skittles and m&ms). Rachael was limited to only brining 2 pairs of shoes out of the 8 pairs she has. How many different combinations of shoes could she bring?

In the fictional country of Statanada, the weights of 18 year old boys are normally distributed with a mean of 160 pounds and a standard deviation of 20 pounds. The weights of 18 year old Statanadian girls are normally distributed with a mean of 135 pounds and a standard deviation of 17 pounds. a) Let the random variables 𝐵 and 𝐺 measure the weights of randomly selected 18 year old Statanadian boys and girls (𝐵 for boys, 𝐺 for girls). What are the mean and standard deviation of the random variables 𝐵 and 𝐺? b) Find the mean and standard deviation of the random variable 𝐵 − 𝐺. Note that 𝐸(𝐵 − 𝐺) = 𝐸(𝐵) − 𝐸(𝐺) and 𝑉𝑎𝑟(𝐵 − 𝐺) = 𝑉𝑎𝑟(𝐵) + 𝑉𝑎𝑟(𝐺). c) If a randomly selected 18 year old Statanadian boy weighs more than a randomly selected 18 year old Statanadian girl, what can you say about the value the random variable 𝐵 − 𝐺 assigns to this pair? d) The difference of two independent normally distributed random variables is another normally distributed random variable. Use this to find P(𝐵 − 𝐺 > 0). e) What is the probability that a randomly selected 18 year old Statanadian boy weighs more than a randomly selected 18 year old Statanadian girl?

solve for x. y=2x+4

Given that f(x) = v 7x + 4 and g (x) = 2x + 9, calculate (g • f) (11)

if x+y=3 and xy=-2 then (x^3+x+1)×(y^3+y+1)

From A to B, V=96km/h. From B to A, V=96km/h+200m/min and T=5 min less than A to B. distance from A to B=? time from A to B=?