(a)
To calculate : The probability that the nut is from the brand A can.
The required probability is
Given information :
Two cans of mixed nuts of different brands are open on a table. Brand A consists of
Calculation :
There are two cans of mixed nuts − Brand A and Brand B.
The probability that the nut chosen at random is from Brand A
Therefore, the required probability is
(b)
To calculate : The probability that the nut is a brand A cashew.
The required probability is
Given information :
Two cans of mixed nuts of different brands are open on a table. Brand A consists of
Calculation :
There are two cans of mixed nuts − Brand A and Brand B.
The probability that the nut chosen at random is from Brand A and it is a cashew will be,
Therefore, the required probability is
(c)
To calculate : The probability that the nut is a cashew.
The required probability is
Given information :
Two cans of mixed nuts of different brands are open on a table. Brand A consists of
Calculation :
There are two cans of mixed nuts − Brand A and Brand B.
The chosen cashew can be from Brand A or from Brand B.
The probability that the nut chosen at random is a cashew from Brand A is
The probability that the nut chosen at random is a cashew from Brand B is
Therefore, the required probability is,
(d)
To calculate : The probability that the nut is from the brand A can, given that it is a cashew.
The required probability is
Given information :
Two cans of mixed nuts of different brands are open on a table. Brand A consists of
Calculation :
There are two cans of mixed nuts − Brand A and Brand B.
Let
Let
Let
So,
Therefore, the required probability is
Chapter 10 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
- 1. Consider the function f(x) whose graph is given below. Use the graph to determine the following: 2 a) All x for which f'(x) is positive. b) All x for which f'(x) is negative. 2 -2 c) The x for which f'(x) is zero. (please depict this on the graph)arrow_forward4. Suppose that the population of a certain collection of rare Brazilian ants is given by P(t)=(t+100) In(t+2), Where t represents the time in days. Find and interpret the rates of change of the population on the third day and on the tenth day.arrow_forwardFind all values of x for f (x)=(x²-4) 4 where the tangent line is horizontal. 5. Find the slope of the tangent line to the graph of f(x)=-√8x+1 at x=1. Write the equation of the tangent line.arrow_forward
- 3. Find the derivative of each function. Label with appropriate derivative notation showing both dependent and independent variables. f(t)=4t(2t⭑+4)³ a. f(t)=4t (2t+4)³ (Answer must be factored.) b. y= 3 1 (2x³-4) 6arrow_forward4.3 The Chain Rule 1. {Algebra review} Let f(x)=2x²-5 x and g(x)=6x+2. Find f[g(−5)]. 2. {Algebra review} Write h(x)=√√8x-3 as the composite of two functions f(x) and g(x). (There may be more than one way to do this.)arrow_forward4.4 Derivatives of Exponential Functions 1. Find derivatives of the functions defined as follows. a. g(t)=-3.4e b. y=e√x c. f(x)=(4x³+2)e³* d. y=- x²arrow_forward
- 4.5 Derivatives of Logarithmic Functions 1. Find the derivative of each function. a) y=ln (-3x) b) f(u)=nu c) 9(x)=x-1 lnxarrow_forward3. If the total revenue received from the sale of x items is given by R(x)=30ln (2x+1), While the total cost to produce x items is C(x)=✗, find the following. a) The marginal revenue b) The profit function P(x) (Hint: P(x)=R(x)-C(x)} c) The marginal profit when x=20 d) Interpret the results of part c).arrow_forward2. The sales of a new personal computer (in thousands) are given by S(t)=100-90€-04: Where t represents time in years. Find and interpret the rate of change of sales at each time. a) After 1 year b) After 5 years c) What is happening to the rate of change of sales as time goes on? d) Does the rate of change of sales ever equal zero?arrow_forward
- 2. Find the equation of the line tangent to the graph of f(x)=ln(x²+5) at the point (-1, In 6). Do not approximate numbers.arrow_forward6. The number of viewers of a television series introduced several years ago is approximated by N(t)=(60+2t2/3,1arrow_forwardsolve please, thank youarrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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