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Sholpan [36]
3 years ago
11

Suppose we want to choose 6 letters, without replacement, from 15 distinct letters. (A) how many ways can this be done, if the o

rder of choices is not taken into consideration? (B) How many ways can this be done, if the order of choices is taken into consideration?
Mathematics
1 answer:
Olenka [21]3 years ago
7 0

Answer:

Below in bold.

Step-by-step explanation:

A.This is the number of combinations of 6 from 15

= 15C6

=  15! / (15-6)! 6!

= 5,005 ways.

B.  This is the number of permutaions of 6 from 15:

= 15! / (15-6)!

= 3,603,600 ways.

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Alexia took out a 12-year loan for $72000 to renovate her home. If her monthly payments are $680, what is the interest rate?
mart [117]

Answer:

intrest equation

I/PT = R

$680 / $72,000 x 12 years = R

$680 / $864,000 = R

7.8703 = R

or rounded 8%

Step-by-step explanation:

3 0
3 years ago
Graph the line with slope 3/5 and y-intercept -2
AnnyKZ [126]

Answer:

Step-by-step explanation:

The equation is y=3/5x-2, attached is the graph

6 0
3 years ago
Is 4x + the square root of y = 12 a linear function
ivolga24 [154]
I wouldn't say so, as if you rearrange that equation you get sqr root y = 12 - 4x. Then you square everything to get the value of y so you would end up with 144 - 16x^2.
Therefore, the x value has a power, so it would be a curved line
3 0
3 years ago
stion 13: A typical barrel of bot-oil contains 70 liters of oil. If a hole he barrel is causing a constant 6 liters an hour leak
Montano1993 [528]

Answer:

y = -6x + 70

Step-by-step explanation:

Since the amount of oil in the tank decreases constantly, we need to create a linear function. Using the base form, y = mx + b, we can replace -6 for m because volume decreases by 6 (or increases by -6) each hour, and +70 for b because we start off with 70 liters of oil. So we get y = -6x + 70, with x representing the number of hours, and y representing the volume of oil remaining.

4 0
2 years ago
Which graph represents the function f (x) = StartFraction 4 Over x EndFraction?
beks73 [17]

Answer:

2nd graph (image)

Step-by-step explanation:

The function to graph is:

f(x)=\frac{4}{x}

It follows the general pattern of the function:  f(x)=\frac{1}{x}, which is general shape and in 1st and 3rd quadrants. So, we can eliminate 3rd and 4th choices (because of quadrants).

The answer is either 1st, or 2nd graph.

Now, we simply can check a point in both.

lets take x = 4, so the function would be:

f(4) = 4/4 = 1

Hence, point is:

(4,1)

The first graph doesn't go through this point. The second graph does.

hence, we can successfully choose the 2nd graph as our answer.

7 0
3 years ago
Read 2 more answers
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