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2 years ago

11

The following list contains the number of movies that a group of 10 students saw in theaters in the past 12 months. 18, 15, 20,

4, 17, 17, 6, 15, 8, 20.
Find the median number of movies that the students saw.

1 answer:

tigry1 [53]2 years ago

4 0

16

Place in ascending order: 4 6 8 15 15 17 17 18 20 20

middle numbers = 15 and 17

(15+17)/2 = 16

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Do u just plot the numbers on the graph like (1,26)???

kvv77 [185]

Answer:

Yes

Step-by-step explanation:

Make sure you plot each number on the right axis. :)

4 0

2 years ago

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

Stefan sells Jin a bicycle for $138 and a helmet for $18. The total cost for Jin is 130% of what

lys-0071 [83]

Answer:

1. $109.20 2. $46.80

Step-by-step explanation:

Doing the math, we find that 30% of 156 (138+18) is 46.80, which answers the second part of this problem. Plugging this value into the first part of the equation gives us what Stefan originally paid.

Good luck! Hope this helps!

5 0

2 years ago

Someone help me

Aneli [31]

Answer:

see the explanation

Step-by-step explanation:

we know that

The circumference of a circle is equal to

$C=\pi D$

where

D is the diameter

In this problem we have

$C=2.88\ in$

$\pi=3$

substitute and solve for D

$2.88=(3)D$

$D=2.88/3$

$D=0.96\ in$

we know that

The length of the row of quarters is equal to multiply the diameter of the quarter by the number of quarters in the row

so

For 4 quarters in the row, the length is equal to --> $0.96(3)=3.84\ in$

For 6 quarters in the row, the length is equal to --> $0.96(6)=5.76\ in$

For 12 quarters in the row, the length is equal to -> $0.96(12)=11.52\ in$

6 0

3 years ago

Determine whether each of the following pairs of angles have equal measures. Drag and drop each pair

never [62]

Answer:

MJK & PJR = Unequal

LJP & NJR = Equal

KJR & MJP = Equal ? (not too sure with this one)

MJP & PJR = Unequal

KJL & LJM = Unequal

8 0

3 years ago