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tester [92]
2 years ago
14

The table shows the number of hours that a group of friends been in the first week training to run a marathon. In the second wee

k they each add five hours to their training times what are the mean median mode and range of times for the second week
Jeff - 9
Mark - 5
Karen - 5
Costas - 5
Brett - 7
Nikki - 6
Jack - 7

A.
Mean is 10
Median is 11
Mode is 11.3
Range is 4

B.
Mean is 11
Median is 11.3
Mode is 10
Range is 0.3

C
Mean is 11.3
Median is 11
Mode is 10
Range is 4

D
Mean is 11.3
Median is 11
Mode is 10
Range is 0.3

Please help this is a test question
Mathematics
1 answer:
Elena L [17]2 years ago
5 0
Mean is 11.3 and the range is 4. Dont need to add 5 for all. Just do mean for the given options and add 5 at the end. Same with the range 9-5=4. Doesn’t change when you add 5 for all

C
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M(2,5) is the midpoint of RS. The coordinates of S are (3,9). What are the coordinates of R?
kobusy [5.1K]

\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ R(\stackrel{x_1}{x}~,~\stackrel{y_1}{y})\qquad S(\stackrel{x_2}{3}~,~\stackrel{y_2}{9}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{3+x}{2}~~,~~\cfrac{9+y}{2} \right)~~=~~\stackrel{M}{(2~,~5)}\implies \begin{cases} \cfrac{3+x}{2}=2\\[1em] 3+x=4\\ \boxed{x = 1}\\ \cline{1-1} \cfrac{9+y}{2}=5\\[1em] 9+y=10\\ \boxed{y=1} \end{cases}

5 0
3 years ago
A rectangle is inscribed in a right isosceles triangle, such that two of its vertices lie on the hypotenuse, and two other on th
Ronch [10]
Refer to the attachment for the diagram of the problem.

Let us call the two identical sides of the isosceles triangle with s. Since we know that the hypotenuse measures 45 inches, we can find s by using the Pythagorean Theorem:
45^{2} = s^{2}+ s^{2}
45^{2} = 2s^{2}
45^{2} = 2s^{2}
1012.5 = s^{2}
s=31.82

We can notice that the figure will have similar triangles with the smaller triangle having one length equal to 5x. We then compute for the equivalent hypotenuse of the smaller triangle (denoted as y).
\frac{31.82}{5x} = \frac{45}{y}
y=7.07x

We can then solve for the value of x by applying the Pythagorean Theorem in the smaller triangle.
(7.07x)^{2} = (5x)^{2}+ (31.82-2x)^{2}
50x^{2} = 25x^{2}+ 1012.5-127.28x+4x^{2}
0= -21x^{2}-127.28x+1012.5
x=4.55,-10.61

We ignore the negative value since there is no negative side. x is therefore 4.55 thus the dimensions of the rectangle would be 22.75 and 9.1. For the other case, the dimensions would simply be inverted since we would be dealing with a rectangle with its width longer than its length.

6 0
3 years ago
A businessman buys 1,440 dozen pens at $2.50 a dozen and then sells them at a price of 25¢ apiece. what is his total profit on th
Harlamova29_29 [7]
Profit (P) is calculated by subtracting the total cost (C) from the total revenue (R). The calculations are shown below, 

       R = (1440 dozens) x (12 pieces / 1 dozen) x (25 cents/ piece) = $4320
                   C = (1440 dozens) x ($2.50 / dozen) = $3600
 
                          Profit = R - C = $4320 - $3600 = $720

Thus, the businessman's profit is $720. 

7 0
3 years ago
<img src="https://tex.z-dn.net/?f=x%20%5Ctimes%20%20%5Cfrac%7B2%7D%7B3%7D%20%20%3D%201%20%5Ctimes%20%5Cfrac%7B1%7D%7B3%7D%20" id
Ulleksa [173]
The answer : x= one half
6 0
3 years ago
Given a geometric sequence in the table below, create the explicit formula and list any restrictions to the domain.
weeeeeb [17]

Answer:

B

Step-by-step explanation:

given the first 3 terms of the geometric sequence - 4, 20, - 100

with r = \frac{-100}{20} = \frac{20}{-4} = - 5

the n th term formula ( explicit formula ) is

a_{n} = a_{1} r^{n-1}

here r = - 5 and a_{1} = - 4, hence

a_{n} = - 4 (-5)^{n-1} with n ≥ 1





4 0
3 years ago
Read 2 more answers
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