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kati45 [8]
3 years ago
9

you sell T-shirts for a fundraiser. it cost $112 to have the T-shirts made. you make a $98 in sales. what is your profit?

Mathematics
1 answer:
Alik [6]3 years ago
7 0

You have no profit.  You have raised no funds, and lost $14.

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If the 1st and 10th terms of geometric sequence are 4 and 100, find the nth term of the sequence
Masja [62]

a = 4 first term, r = ?, T10 = 100.

Tn = ar^n - 1 formula for g.p

T10 = 4r^ 10 - 1

100 = 4r^9

Divide both side by 4

100/4 = 4/4r^9

25 = r^9 take the 9th root of both side

9√25 = 9√r^9

r = 9√25

To find the nth term

Since Tn = ar^n - 1

7 0
3 years ago
A data set of 27 different numbers has a mean of 33 and a median of 33. A new data set is
Svetllana [295]

Answer:

Option D.

Step-by-step explanation:

Suppose that we have a set of N values:

{x₁, x₂, ..., xₙ}

The median is the value in the middle, and the mean is calculated as:

M = \frac{(x_1 + x_2 + x_3 ... + x_n)}{N}

Because here we have "the median" then we will assume that N is odd, and there is only one median, the value "k"  (if N was even, the median would be the mean of the two middle values, that case is really similar to the case where N is odd, so solving only one of the cases is enough)

Now we add 7 to all the values greater than the median

We subtract 7 to all values smaller than the median.

Then the median remains unchanged (because we did not add nor subtract anything to the median).

The new mean will be:

M' = \frac{(x_1 - 7) + (x_2 - 7) + ... + (x_{k}) + ... + (x_n + 7)}{N} = \frac{(x_1 + x_2 + ... + x_n) + (-7)*(n/2 - 0.5) + 7*(n/2 - 0.5)}{N}  = \frac{(x_1 + x_2 + ... + x_n)}{N} = M

So the mean does not change.

Because the mean is computed as the sum of the numbers divided by N, and the mean does not change, and N does not change, then the sum of the numbers does not change.

Finally, the standard deviation is computed as:

SD = \sqrt{\frac{(x_1 - M)^2 + ... + (xn - M)^2}{N} }

Because M does not change, if we add or subtract numbers to some of the values, the standard deviation will change (Because all the terms are squared, so the added and subtracted sevens don't cancel like in the previous cases)

Then the only value that does not have the same value in both the original and new data sets is the standard deviation.

6 0
3 years ago
If (7,2) is an ordered pair of the function f(x) which of the following must be an ordered pair of the inverse of f(x)?
Harrizon [31]
All you have to do is to reverse the order of the x and y components of (7,2):
(2,7).
8 0
3 years ago
Read 2 more answers
2/6, 5/12, 3/7, and 4/10. List least to most
olya-2409 [2.1K]
Turn them into percentages:
2/6=1/3=33.333%
5/12=42%
3/7=43%
4/10=2/5=40%

Now put them in order :)

2/6,4/10,5/12,3/7
7 0
2 years ago
Help help help math math math
musickatia [10]

18

Step-by-step explanation:

X-3=15

Make X the subject of the formular by transferring the number with co-efficients in one side if the equation.

X=15+3

X=18

4 0
2 years ago
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