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MrMuchimi
3 years ago
13

There are 10 friends who are trying to play and beat the video game, Breath of the Wild. There are 76 side quests in this game.

Some of them think that side quests are important, and some do not. The number of side quests completed by the ten friends are as follows:
25, 28, 29, 30, 34, 35, 35, 37, 38

Required:
Find the 5 Number Summary.
Mathematics
1 answer:
victus00 [196]3 years ago
5 0

Answer:

2; 28.5 ; 34 ; 36 ; 38

Step-by-step explanation:

Given the data:

X = 25, 28, 29, 30, 34, 35, 35, 37, 38

n = 9

Values have been arranged in ascending order ;

The 5 number summary :

Maximum value : highest data value in the list = 38

Minimum value : Lowest data value in the list = 25

The lower quartile ; Q1 = 1/4(n+1)th term

Q1 = 1/4(10) th term = 2.5th term

Q1 = (2nd + 3rd) / 2 = (28+29)/2 = 28.5

Q2 = 1/2(n+1)th term

Q2 = 1/2(10) th term = 5th term

Q2 = 34

Q3 = 3/4(n+1)th term

Q3 = 3/4(10) th term = 7.5th term

Q3 = (7th + 8th) / 2 = (35+37)/2 = 36

Maximum value = 38 (highest data value in the list)

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A rectangle has a length of 12 centimeters and a width of 4 centimeters. Find the perimeter.
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Answer:


Step-by-step explanation:

Given:

Length (l) = 12 cm

Width (w) = 4 cm

Perimeter of the rectangle = 2(l + w) units

<em>P</em> = 2(12 + 4)

<em>P</em> = 2 (16)

<em>P</em> = 32

<h2><u><em>32 cm</em></u></h2>
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3 years ago
The average high-density lipoprotein (HDL) cholesterol level of adult females is 53 milligrams per deciliter. You want to determ
emmasim [6.3K]

Answer:

t=\frac{54.1-53}{\frac{1.78}{\sqrt{12}}}=2.14  

df = n-1= 12-1=11

p_v = P(t_{11}>2.14) =0.0278

Step-by-step explanation:

Data provided

\bar X=54.1 represent the sample mean in mg per deciliter of cholesterol level

s=1.78 represent the sample standard deviation

n=12 sample size  

\mu_o =53 represent the value that we want to test  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

System of hypothesis

We need to conduct a hypothesis in order to check if the mean is higher than 53 mg per deciliter, the system of hypothesis would be:  

Null hypothesis:\mu \leq 53  

Alternative hypothesis:\mu > 53  

The statistic is given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)  

Calculate the statistic  

Replacing into the formula we got:

t=\frac{54.1-53}{\frac{1.78}{\sqrt{12}}}=2.14  

P-value  

We need to find first the degrees of freedom:

df = n-1= 12-1=11

The p value for this case since we have a right tailed test is:

p_v = P(t_{11}>2.14) =0.0278

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Answer:

B) y = 1/5x + 12/5

Step-by-step explanation:

2 = 1/5(-2) + b

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