1. mean
To solve for mean, add all the numbers, and divide by the amount of numbers there is.
(75 + 65 + 70 + 70 + 55 + 40 + 55 + 70 + 65)/9 = 565/9 = 62 7/9 (a. 62.8)
2. Median
To solve for median, reorder all numbers from least to greatest, and the middle number is your median.
40, 55, 55, 65, 65, 70, 70 , 70, 75
Middle number is bolded
40, 55, 55, 65, 65, 70, 70, 70, 75
(b. 65)
3. Mode
To solve for mode, find out which number shows up the most.
(c. 70) shows up once more than the next number that has the most (55 & 65, which both have 2)
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Answer:
g(3) = - 5
Step-by-step explanation:
Given
g(n) = g(n - 1) - 7.5 and g(1) = 10, then
g(2) = g(2 - 1) - 7.5 = g(1) - 7.5 = 10 - 7.5 = 2.5
g(3) = g(3 - 1) - 7.5 = g(2) - 7.5 = 2.5 - 7.5 = - 5
Answer:
see attached
Step-by-step explanation:
The grid show the non-possibilities in red, with each number corresponding to the statement that eliminates that choice. The green square (with black text) shows the one combination that is specified already (by statement 4). The lighter green numbers show possible alternatives: first period may be Schiller or English, and room 113 will be the other one. Similarly, Art may be 3rd period or Thomlinson.
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These choices (light green 5, light green 6) give rise to four possibilities. Working through them, you run into inconsistencies if you choose Schiller for first period. (Art must be, but can't be, in room 112.) That leaves two possibilities.
Again, you run into inconsistencies if you choose Thomlinson as the Art teacher. (The class in 112 is 2 periods after Xavier's class, not 1.)
Hence, the only viable pair of remaining choices is Schiller in room 113 and art in 3rd period.
The final schedule is shown in the attachment.
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<em>Additional comment</em>
When I'm working these on paper, I use an X to mark any impossible combinations, and a circle (O) to mark a known combination. In any given 4×4 square of the grid, the remaining cells of the row and column containing a O must be Xs. Consistency must be maintained between rows and columns. This often means filling a circle in one place may result in a circle being filled in another place. Of course, once 3 of the squares in a row or column have Xs, the remaining one must be O.
An equation is formed of two equal expressions. It will take for the radioactive element to decay from 960 grams to 295 grams in 25.54 minutes.
<h3>What is an equation?</h3>
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The radioactive decay of an element is given by the formula,

Given the half-life of the element is 15 minutes, therefore, we can write,

Now, the time it will take for 960 grams to decay to 295 grams is,

Hence, it will take for the radioactive element to decay from 960 grams to 295 grams in 25.54 minutes.
Learn more about Equation:
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