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Anastasy [175]
3 years ago
11

Answer the following questions:

Mathematics
1 answer:
Lelechka [254]3 years ago
5 0

Answer:

a. RTP

b. NM

c. x = 7

3x - 1 = 20

3x = 21

x = 7

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The box-and-whisker plot below shows the numbers of text messages received in one day by students in the seventh and eighth grad
Leya [2.2K]
<h3><u>Answer with explanation:</u></h3>

From the box and whisker plot of seventh grade we have:

The minimum value =6

First quartile or lower quartile i.e. Q_1 = 14

Median or second quartile i.e. Q_2 = 18

Third quartile or upper quartile i.e. Q_3 =22

and maximum value = 26

From the box and whisker plot of eighth grade we have:

The minimum value =22

First quartile or lower quartile i.e. Q_1 = 26

Median or second quartile i.e. Q_2 = 30

Third quartile or upper quartile i.e. Q_3 = 34

and maximum value = 38

a)

The overlap of the two sets of data is as follows.

  • The upper quartile or third quartile of seventh grade is same as the minimum value of the data of eighth grade.
  • And the maximum value of seventh grade is same as the lower quartile of eighth grade.

b)

IQR is calculated as the difference of the Upper quartile and the lower quartile

i.e. Q_3-Q_1

so, IQR of seventh grade is:

22-14=8

IQR of seventh grade=8

IQR of eighth grade is:

34-26=8

Hence, IQR of eighth grade=8

c)

The difference of the median of the two data sets is:

30-18=12

Hence, the difference of median is: 12

d)

As the IQR of both the sets is same i.e. 8.

Hence, the number that must be multiplied by IQR so that it is equal to the difference between the medians of the two sets is:

8\times n=12\\\\n=\dfrac{12}{8}\\\\n=\dfrac{3}{2}\\\\n=1.5

Hence, the number is : 1.5

6 0
3 years ago
Determine if the following infinite series converges or diverges
Mandarinka [93]

Using limits, it is found that the infinite sequence converges, as the limit does not go to infinity.

<h3>How do we verify if a sequence converges of diverges?</h3>

Suppose an infinity sequence defined by:

\sum_{k = 0}^{\infty} f(k)

Then we have to calculate the following limit:

\lim_{k \rightarrow \infty} f(k)

If the <u>limit goes to infinity</u>, the sequence diverges, otherwise it converges.

In this problem, the function that defines the sequence is:

f(k) = \frac{k^3}{k^4 + 10}

Hence the limit is:

\lim_{k \rightarrow \infty} f(k) = \lim_{k \rightarrow \infty} \frac{k^3}{k^4 + 10} = \lim_{k \rightarrow \infty} \frac{k^3}{k^4} = \lim_{k \rightarrow \infty} \frac{1}{k} = \frac{1}{\infty} = 0

Hence, the infinite sequence converges, as the limit does not go to infinity.

More can be learned about convergent sequences at brainly.com/question/6635869

#SPJ1

6 0
1 year ago
Read 2 more answers
What is a solution for 11/12
elena-s [515]

Answer:

It is either 11/12 or 0.91666666667.....

Step-by-step explanation:

Because this can not be actually divided into a "number" like 2 or 5, we can only get a approximate. Like the top answer.

Round to the nearest ten is 0.9

Round it to nearest hundredths is 0.92

7 0
3 years ago
Theresa wants to order her mother flowers for her birthday. She wants to give the delivery person a $6.00 tip. The cost of the f
Illusion [34]

Answer:

8\%

Step-by-step explanation:

Since question already gives the number of dollars she will tip, I'm assuming it's asking for percent tipped.

Because the total is $75 and Theresa is tipping $6, she is tipping \frac{6}{75}=0.08 of the total. To convert this to a percentage, multiply by 100: 0.08\implies 0.08\cdot 100=\boxed{8\%}

7 0
3 years ago
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Find the missing angle. Round to the nearest tenth.
Paladinen [302]

Answer:

40

Step-by-step explanation:

here is a trig calculator

http://www.carbidedepot.com/formulas-trigright.asp

4 0
3 years ago
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