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svetoff [14.1K]
2 years ago
7

Sofia goes to college. She recorded all of her economics lessons so that she could listen to them again. Below is the length of

each lesson in minutes.
42, 25, 37, 41, 32, 25, 39, 37, 28, 35, 27 Find the mean, median, and mode.
Mathematics
1 answer:
TiliK225 [7]2 years ago
8 0

Answer:

Mean: 33.454545 Median: 34.5 Mode: 25

Step-by-step explanation:

By putting all of the numbers in numerical order, then adding them and dividing them by 11 (the number of numbers in the list), you get 33.45 repeating as the mean. With the organized list of numbers find the middle number, which is 35, and that is the median. The mode, the most common number in the sequence, is 37 and 25.

25+25+27+28+32+35+37+37+39+41+42=368

368/11=33.45454545

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Which is true regarding the graphed function f(x)?
dexar [7]

Answer:

The answer is f(5) = -1

5 0
2 years ago
What is 2m+12=3m-31?
sukhopar [10]

Answer:

m=43

Step-by-step explanation:

2m-3m=-31-12

-m=-43

m=43 (Because if we divide -1m/-1 = 1m and -43/-1 = 43)

5 0
2 years ago
Read 2 more answers
One canned juice drink is 25% orange juice; another is 10% orange juice. How many liters of each should be mixed together in ord
Vikki [24]
Let's say we use "x" of the 25% OJ... ok... well, how much juice is really in that "x" liters?  well, 25% of it is OJ, the rest is water, how much is 25% of x? well, (25/100) * x,  or 0.25x.

likewise, we'll use "y" of the 10% OJ, and it will end up with (10/100) *y or 0.10y of juice in it.

whatever "x" and "y" are, they must add up to 15 Liters, and the juice concentration on that mixture, must also be the sum of their sum concentration.

\bf \begin{array}{lccclll}
&\stackrel{liters}{amount}&\stackrel{juice~\%}{quantity}&\stackrel{juice}{quantity}\\
&------&------&------\\
\textit{25\% juice}&x&0.25&0.25x\\
\textit{10\% juice}&y&0.10&0.10y\\
------&------&------&------\\
mixture&15&0.17&2.55
\end{array}
\\\\\\
\begin{cases}
x+y=15\implies \boxed{y}=15-x\\
0.25x+0.10y=2.55\\
----------\\
0.25x+0.10\left(\boxed{15-x}  \right)=2.55
\end{cases}
\\\\\\
0.25x-0.10x+1.5=2.55\implies 0.15x=1.05\implies x=\cfrac{1.05}{0.15}
\\\\\\
x=7

how much will be it of the 10% juice?  well, y = 15 - x.
6 0
2 years ago
Find the difference. 4/9-1/3
Iteru [2.4K]
1/9

Find the common denominator, 1/3 can be multiplied to get to ninths. 1/3 is equivalent to 3/9, and so 4/9 minus 3/9 is 1/9.
7 0
3 years ago
Read 2 more answers
Can anyone help?
SVEN [57.7K]

For the equation (2k + 1)x² + 2x = 10x - 6 to have two real and equal roots, the value of k = 5/6.

Since the equation is (2k + 1)x² + 2x = 10x - 6, we collect subtract 10x from both sides and add 6 to both sides.

So, we have (2k + 1)x² + 2x - 10x + 6 = 10x - 6 - 10x + 6

(2k + 1)x² - 8x + 6 = 0

For the equation, (2k + 1)x² + 2x = 10x - 6 to have two real and equal roots, this new equation (2k + 1)x² - 8x + 6 = 0 must also have two real and equal roots.

For the equation to have two real and equal roots, its discriminant, D = 0.

D = b² - 4ac where b = -8, a = 2k + 1 and c = 6.

So, D =  b² - 4ac

D =  (-8)² - 4 × (2k + 1) × 6 = 0

64 - 24(2k + 1) = 0

Dividing through by 8, we have

8 - 3(2k + 1) = 0

Expanding the bracket, we have

8 - 6k - 3 = 0

Collecting like terms, we have

-6k + 5 = 0

Subtracting 5 from both sides, we have

-6k = -5

Dividing through by -6, we have

k = -5/-6

k = 5/6

So, for the equation (2k + 1)x² + 2x = 10x - 6 to have two real and equal roots, the value of k = 5/6.

Learn more about quadratic equations here:

brainly.com/question/18162688

4 0
2 years ago
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