Which number is less than -4. 5 plz no links.

Find the maximum profit and the number of units that must be produced and sold in order to yield the maximum profit. Assume that

V125BC [204]

Answer:

-1.39

Step-by-step explanation:

Revenue and cost as a function of units sold are $u(x) = 9x-2x^{2}$ and $c(x)=x^{3}-3x^{2}+4x+1$ respectively.

we are have to know for which value or input units are these functions at maximum which translates to for how many units is the revenue maximum and for how many same units is our cost minimum.

5 0

3 years ago

A rectangular garden has an area of 22 square feet. If its length is 7 feet less than twice its width, find the dimensions of t

DedPeter [7]

Answer: Width is 5.5 ft, length is 18 ft

7 0

2 years ago

A box contains 24 transistors,4 of which are defective. If 4 are sold at random,find the following probabilities. i. Exactly 2 a

zavuch27 [327]

SOLUTION

This is a binomial probability. For i, we will apply the Binomial probability formula

i. Exactly 2 are defective

Using the formula, we have

$\begin{gathered} P_x=^nC_x\left(p^x\right?\left(q^{n-x}\right) \\ Where\text{ } \\ P_x=binomial\text{ probability} \\ x=number\text{ of times for a specific outcome with n trials =2} \\ p=\text{ probability of success = }\frac{4}{24}=\frac{1}{6} \\ q=probability\text{ of failure =1-}\frac{1}{6}=\frac{5}{6} \\ ^nC_x=\text{ number of combinations = }^4C_2 \\ n=\text{ number of trials = 4} \end{gathered}$

Note that I made the probability of being defective as the probability of success = p

and probability of none defective as probability of failure = q

Exactly 2 are defective becomes the binomial probability

$\begin{gathered} P_x=^4C_2\times\lparen\frac{1}{6})^2\times\lparen\frac{5}{6})^{4-2} \\ P_x=6\times\frac{1}{36}\times\frac{25}{36} \\ P_x=\frac{25}{216} \\ =0.1157 \end{gathered}$

Hence the answer is 0.1157

(ii) None is defective becomes

$\begin{gathered} \lparen\frac{5}{6})^4=\frac{625}{1296} \\ =0.4823 \end{gathered}$

hence the answer is 0.4823

(iii) All are defective

$\begin{gathered} \lparen\frac{1}{6})^4=\frac{1}{1296} \\ =0.00077 \end{gathered}$

(iv) At least one is defective

This is 1 - probability that none is defective

$\begin{gathered} 1-\lparen\frac{5}{6})^4 \\ =1-\frac{625}{1296} \\ =\frac{671}{1296} \\ =0.5177 \end{gathered}$

Hence the answer is 0.5177

3 0

10 months ago

For } (x) = 4x+1 and g(x) = x2 -5, find (f/g)(x)

matrenka [14]

Answer:

Step-by-step explanation:

4x + 1

The quotient (f/g)(x) is (f/g)(x) = ---------------

x^2 - 5

Note that x^2 means "square of x," whereas "x2" is ambiguous.

7 0

2 years ago

Which equation shows a correct strategy and product for the expression shown? 0.6x0.9

12345 [234]

Answer:

.19

Step-by-step explanation:

3 0

2 years ago

Which number is less than -4. 5 plz no links. ​

Which number is less than -4. 5 plz no links.