Math Answers

A candy factory produces the candy boxes which include 100 parts in each box. According to the quality control section, 95% of candies are qualified. (a)What is the probability that more than 2 candies in a given box will be non qualified? (b) What is the probability that more than 10 candies in a given box will be non qualified?

In a beauty salon, the waiting time to receive a haircut service is a random variable with a continuous uniform distribution. A calling for a new haircut service is every 10 minutes. (a) What is the probability that a customer waits for a new call more than 7 minutes? (b) What is the probability that a customer waits for a new call between 2 and 7 minutes?

 In Istanbul, on average, 6 Leveche (lodos) occur every year. (a) What is the probability that in a given year, number of lodos is fewer than 4 in Istanbul? (b) What is the probbaility that in a given year, number of lodos is from 6 to 8 in Istanbul? 

ACTIVITY IN BASIC CALCULUS

BASIC RULES IN DERIVATIVE

 Complete the blanks of the given function below with a number (except 0 and 1) to create your own problem and find the derivative of the function. Show your complete solution to each problem.

1. f(x) = -₄x⁵+ ______x^-4 - 2468

2. f (x) =____x^-3- _____x1/4 - 12x

3.f(x)= ____ "\\sqrt[4]{x^3} - \\underset{x^6}{=} + \\frac{2}{3} x^6"

4.f (x) = "\\underset{x^-6}{=} -" ____ x² + "\\sqrt[4]{x}"

Bacteria grow in a nutrient solution at a rate proportional to the amount present. Initially, there are 250 strands of the bacteria in the solution which grows to 800 strands after seven hours. Find (a) an expression for the approximate number of strands in the culture at any time t and (b) the time needed for the bacteria to grow to 1600 strands. 

Nick is given $50 to spend on a vacation. He decides to spend $5 a day. The amount Nick has left and the number of days are related. How many days Nick have after $25?

A tank contains 100 gal of brine made by dissolving 60 lb of salt in water. Salt water containing 1 lb of salt per gallon runs in at the rate of 2 gal/min and the well-stirred mixture runs out at the same rate of 3 gal/min. Find the amount of salt in the tank after 30 minutes. 

ACTIVITY IN BASIC CALCULUS

BASIC RULES IN DERIVATIVE

 Complete the blanks of the given function below with a number (except 0 and 1) to create your own problem and find the derivative of the function. Show your complete solution to each problem.

1. f(x) = -₄x⁵+ ______x^-4 - 2468

2. f (x) =____x^-3- _____x1/4 - 12x

3.f(x)= ____ "\\sqrt[4]{x^3} - \\underset{x^6} + \\frac{2}{3} x^6"

4.f (x) = "\\underset{x^-6}{=} -" ____ x² + "\\sqrt[4]{x}"

A bird feeder stands perpendicular to the ground. In the afternoon sun, the bird feeder's shadow is half its height. If the distance between the top of the bird feeder and the top of the shadow is 19 feet, how tall is the bird feeder and how long is its shadow?

please explain to me how you got the answer

Three sets of twins are to pose for photographs. How many photographs are possible if each set of the twins are to stand close to each other?