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tangare [24]
3 years ago
14

Suppose we want to choose 7 colors, without replacement, from 9 distinct colors?

Mathematics
2 answers:
Julli [10]3 years ago
5 0
The answer is 36

9choose7 = 36
Brums [2.3K]3 years ago
3 0

Answer:

7/9

Step-by-step explanation:

you choose 7 colors out of 9 colors

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Which coin has a diameter with a 5 in the hundredths place?
Alexus [3.1K]
It would be both the penny and the quarter.

The hundredth place would be the third one from the left.

_._ _ _

So therefore the quarter and penny both have a five in that spot.
4 0
3 years ago
What is the Greatest common factor of 18x^2 and 36x
loris [4]

For this case we have that by definition, the Greatest Common Factor or GFC of two or more numbers, is the largest number that divides them without leaving residue.

So:

We look for the factors of 18 and 36:

18: 1,2,3,6,9,18

36: 1, 2,3,4, 6,9,18 ...

Thus, the GFC of both numbers is 18.

Then, the GFC of18x ^ 2 and 36x is:

18x

Answer:

18x

6 0
3 years ago
Which best represents data that is not likely to be clustered?
AfilCa [17]

Answer: guess it your self

Step-by-step explanation:

6 0
2 years ago
For what values of x is log base 0.8 (x+4)&gt;log base 0.4 (x+4)<br>Thank you!
Radda [10]
We are seeking the solution of the inequality:

\displaystyle{ \log_{0.8}(x+4)\ \textgreater \ \log_{0.4}(x+4).


We recall that a log function f(x)=\log_b(x) is either increasing or decreasing:

i) it is increasing if b>1, 

ii) it is decreasing if 0<b<1.

Consider the functions \displaystyle{ \log_{0.8}(x) and \displaystyle{ \log_{0.4}(x).

The graphs of these functions both meet at x=1 (clearly), and after 1 they are both negative. So from 0 to 1 one of them is larger for all x, and from 1 to infinity the other is larger. (Being strictly decreasing, their graphs can only intersect once.)


We can check for a certain convenient point, for example x=0.8:

\displaystyle{ \log_{0.8}(0.8)=1 and

\displaystyle{ \log_{0.4}(0.8)=\log_{0.4}(0.4\cdot 2)=\log_{0.4}(0.4)+\log_{0.4}(\cdot 2)=1+\log_{0.4}(2).

Now, \displaystyle{ \log_{0.4}(2) is negative since we already explained that for x>1 both functions were negative. This means that 

\displaystyle{ \log_{0.8}(0.8)\ \textgreater \ \log_{0.4}(0.8), and since 0.8\in (0, 1), then this is the interval where \displaystyle{ \log_{0.8}(x)\ \textgreater \ \log_{0.4}(x).


So, now considering the functions \displaystyle{ \log_{0.8}(x+4) and \displaystyle{ \log_{0.4}(x+4), we see that 

x+4 must be in the interval (0,1), so we solve:

0<x+4<1, which yields -4<x<-3 after we subtract by 4.


Answer: (-4, -3). Attached is the graph generated using Desmos.

7 0
3 years ago
Can I get help with this?
Trava [24]

Answer:

arc AE = 125 deg

Step-by-step explanation:

As the property of angle at the center O of a circle:

angle AOE = arc AE

=> arc AE = 125 deg

Hope this helps!

6 0
3 years ago
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