All categories

3 years ago

If you folded up the shape which cube would it make?

Mathematics

2 answers:

Margarita [4]3 years ago

5 0

I believe that the answer is D.

satela [25.4K]3 years ago

3 0

Answer:

The correct option is D.

Step-by-step explanation:

The given figure is an examples of proper nets of dice. According to this net alternative consecutive sides are opposite sides. It means

1. Heart is opposite to open circle.

2. Square is opposite to closed circle.

3. Empty sides are opposite to each other.

Since square is opposite to closed circle but in option A, square is adjacent to closed circle, therefore option A is incorrect.

Since empty sides are opposite to each other but in option B, empty sides are adjacent to each other, therefore option B is incorrect.

Since heart is opposite to open circle but in option C, heart is adjacent to open circle, therefore option C is incorrect.

The correct option is D.

You might be interested in

A. 0.126<br> b. 0.313<br> c. 0.220<br> d. 0.688

nordsb [41]

First we need the total of both children and adults that like all the flavors:

12 + 5 + 20 + 23 + 11 + 16 = 87 total people

then find the number of adults that like sweet mint: from the table 11 adults like sweet mint

to find the probability divide the number of adults who like sweet mint by the total number of people:

11 / 87 = 0.126
the answer is A

4 0

3 years ago

Read 2 more answers

Use any of the methods to determine whether the series converges or diverges. Give reasons for your answer.

Aleks [24]

Answer:

It means $\sum_{n=1}^\inf} = \frac{7n^2-4n+3}{12+2n^6}$ also converges.

Step-by-step explanation:

The actual Series is::

$\sum_{n=1}^\inf} = \frac{7n^2-4n+3}{12+2n^6}$

The method we are going to use is comparison method:

According to comparison method, we have:

$\sum_{n=1}^{inf}a_n\ \ \ \ \ \ \ \ \sum_{n=1}^{inf}b_n$

If series one converges, the second converges and if second diverges series, one diverges

Now Simplify the given series:

Taking"n^2"common from numerator and "n^6"from denominator.

$=\frac{n^2[7-\frac{4}{n}+\frac{3}{n^2}]}{n^6[\frac{12}{n^6}+2]} \\\\=\frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{n^4[\frac{12}{n^6}+2]}$

$\sum_{n=1}^{inf}a_n=\sum_{n=1}^{inf}\frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{[\frac{12}{n^6}+2]}\ \ \ \ \ \ \ \ \sum_{n=1}^{inf}b_n=\sum_{n=1}^{inf} \frac{1}{n^4}$

Now:

$\sum_{n=1}^{inf}a_n=\sum_{n=1}^{inf}\frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{[\frac{12}{n^6}+2]}\\ \\\lim_{n \to \infty} a_n = \lim_{n \to \infty} \frac{[7-\frac{4}{n}+\frac{3}{n^2}]}{[\frac{12}{n^6}+2]}\\=\frac{7-\frac{4}{inf}+\frac{3}{inf}}{\frac{12}{inf}+2}\\\\=\frac{7}{2}$

So a_n is finite, so it converges.

Similarly b_n converges according to p-test.

P-test:

General form:

$\sum_{n=1}^{inf}\frac{1}{n^p}$

if p>1 then series converges. In oue case we have:

$\sum_{n=1}^{inf}b_n=\frac{1}{n^4}$

p=4 >1, so b_n also converges.

According to comparison test if both series converges, the final series also converges.

It means $\sum_{n=1}^\inf} = \frac{7n^2-4n+3}{12+2n^6}$ also converges.

5 0

3 years ago

In a recent survey, 64 % of the community favored building a police substation in their neighborhood. If 14 citizens are chosen,

kozerog [31]

Answer: 0.1840

Step-by-step explanation:

The binomial probability formula :-

$P(X)=^nC_x\ p^x(1-p)^{n-x}$ , here n is the number total of trials , p is the probability of getting success in each trial and P(x) is the probability of getting success in x trial.

Given : The probability of the community favored building a police substation in their neighborhood = 0.64

If 14 citizens are chosen, then the probability that exactly 8 of them favor the building of the police substation will be :-

$P(8)={14}^C_{8}\ (0.64)^{8}(1-0.64)^{14-8}\\\\=\dfrac{14!}{8!6!}\times(0.64)^8(0.36)^{6}\\\\0.183996740126\approx0.1840$

Hence, the probability that exactly 8 of them favor the building of the police substation = 0.1840

5 0

4 years ago

Given the Formula E equals IR what is the formula for r

Oksi-84 [34.3K]

E=IR

E/I= IR/I

E/I = R

8 0

4 years ago

find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation. if y

dlinn [17]

Answer:

The Question isn't clear

Step-by-step explanation:

7 0

3 years ago