All categories

2 years ago

Power set of {e,f,m,n,o}

2 answers:

5 0

$\{\emptyset,\{e\},\{f\},\{m\},\{n\},\{o\},\{e,f\},\{e,m\},\{e,n\},\{e,o\},\{f,m\},\{f,n\},\\
\{f,o\},\{m,n\},\{m,o\},\{n,o\},\{e,f,m\},\{e,f,n\},\{e,f,o\},\{e,m,n\},\\
\{e,m,o\},\{e,n,o\},\{f,m,n\},\{f,m,o\},\{f,n,o\},\{m,n,o\},\{e,f,m,n\},\\
\{e,f,m,o\},\{e,f,n,o\},\{e,m,n,o\},\{f,m,n,o\},\{e,f,m,n,o\}\}$

horsena [70]2 years ago

3 0

$n=5\ \ \ \Rightarrow\ \ \ 2^n=2^5=32\\\\$

$\emptyset;\\\{e\},\{f\},\{m\},\{n\},\{o\};\\\{e,f\},\{e,m\},\{e,n\},\{e,o\},\{f,m\},\{f,n\},\{f,o\},\{m,n\},\{m,o\},\{n,o\};\\\{e,f,m\},\{e,f,n\},\{e,f,o\},\{e,m,n\},\{e,m,o\},\{e,n,o\},\{f,m,n\},\\\{f,n,o\},\{f,m,o\},\{m,n,o\};\\\{e,f,m,n\},\{e,f,m,o\},\{e,f,n,o\},\{e,m,n,o\},\{f,m,n,o\};\\\{e,f,m,n,o\}$

You might be interested in

Round 8.41315 correct to 2 decimal places

Nadya [2.5K]

Answer:

8.41

Step-by-step explanation:

i think

5 0

2 years ago

Given the funtion f(x)=-4-x:<br> A. Evaluate: f(-2)<br> B. Solve for x when f(x) =-8

NNADVOKAT [17]

f(x)=-4-x

A. f(-2)=-4-(-2)=-4+2=-2

B. f(x)=8

-4-x=8 /+4

-x=12 /*(-1)

x=-12

3 0

3 years ago

Felicity's dog eats two cups of dog food per day. Felicity's dog eats at least one-quarter cup more than one-half of the amount

cupoosta [38]

Answer:

2 > $\frac{1}{2} m + \frac{1}{4}$

Step-by-step explanation:

Given:

Felicity's dog eats two cups of dog food per day :2

If the amount of food that Martin's dog eats is represented by using m

Felicity's dog eats at least one-quarter cup more than one-half of the amount Martin's dog eats: $\frac{1}{2} m + \frac{1}{4}$

So we have the inequality represents the situation is:

2 > $\frac{1}{2} m + \frac{1}{4}$

4 0

2 years ago

Read 2 more answers

Which equation is the inverse of 5 y + 4 = (x + 3) squared + one-half?

telo118 [61]

Answer:

The correct option is the last option d.) y = negative 3 plus-or-minus StartRoot 5 x + seven-halves EndRoot

Step-by-step explanation:

the given equation is $5y + 4 =(x+3)^{2} + \frac{1}{2}$

Therefore we can write $5y\hspace{0.1cm} = (x+3)^{2} + \frac{1}{2} - 4 \hspace{0.3cm} \Rightarrow \hspace{0.2cm} 5y = (x+3)^{2} - \frac{7}{2} \hspace{0.3cm} \Rightarrow \hspace{0.3cm} y = \frac{(x+3)^{2}}{5} - \frac{7}{10}$

To find the inverse of the above function let us replace x with y and y with x.

Therefore we get

$x = \frac{(y+3)^{2}}{5} - \frac{7}{10}$

Now we write the above equation with only y on the Left hand side and we will obtain the inverse of the given function

$y = \pm \sqrt{5 (x + \frac{7}{10} )} \hspace{0.1cm} - \hspace{0.1cm} 3 \hspace{0.1cm} \Rightarrow\hspace{0.1cm} y = \pm \sqrt{5x + \frac{7}{2} } - \hspace{0.1cm} 3 \hspace{0.1cm}$

Therefore the correct option is the last option d.) y = negative 3 plus-or-minus StartRoot 5 x + seven-halves EndRoot , $y = \pm \sqrt{5x + \frac{7}{2} } - \hspace{0.1cm} 3 \hspace{0.1cm}$

8 0

3 years ago

Read 2 more answers

A candidate for a US Representative seat from Indiana hires a polling firm to gauge her percentage of support among voters in he

UkoKoshka [18]

Answer:

a) The minimum sample size is 601.

b) The minimum sample size is 2401.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

For this problem, we have that:

We dont know the true proportion, so we use $\pi = 0.5$ , which is when we are are going to need the largest sample size.

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

a. If a 95% confidence interval with a margin of error of no more than 0.04 is desired, give a close estimate of the minimum sample size that will guarantee that the desired margin of error is achieved. (Remember to round up any result, if necessary.)

This is n for which M = 0.04. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.04 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.04\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.04}$

$(\sqrt{n})^2 = (\frac{1.96*0.5}{0.04})^2$

$n = 600.25$

Rounding up

The minimum sample size is 601.

b. If a 95% confidence interval with a margin of error of no more than 0.02 is desired, give a close estimate of the minimum sample size necessary to achieve the desired margin of error.

Now we want n for which M = 0.02. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.02 = 1.96\sqrt{\frac{0.5*0.5}{n}}$