Answer:
.878787.. to a fraction is 29/33
Step-by-step explanation:
= 87/99
Simplify 87/99, which is 29/33
If they want a sample committee consisting of four male and four female students, from a possible volunteer pool of eight male a
1 answer:
Answer:
There are 2450 ways.
Step-by-step explanation:
We can pick first the 4 man, and then the 4 women. The configuration of men and women are independant with each other, so the total of possibilities is obtained by multiplying the total possibilities to pick 4 men and the total possibilities of picking 4 women.
To pick 4 men from a group of 8, the total number of possibilities is the amount of ways to pick 4 elements from a group of 8. This number is represented by the combinatorial number of 8 with 4
To pick 4 women from a group of 7, we need to count the total amount of ways to pick 4 elements from a group of 7. This is the combinatorial number of 8 with 7
Hence, the total amount of ways to pick 4 men and 4 women from a group of 8 men and 7 women is 70*35 = 2450.
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Answer:
Option a :
Step-by-step explanation:
Given :
The drama club sold 100 tickets to a show, it had $300 in profit.
The next show, it had sold a total of 200 tickets and had a total of $700 profit.
To Find : Equation models the total profit, y, based on the number of tickets sold, x
Solution :
For 100 tickets he had $300 in profit .
⇒ ()=(100,300)
For 200 tickets he had $700 in profit .
⇒ ()=(200,700)
We will use point slope form i.e.
--(A)
Now, to calculate m we will use slope formula :
Now, putting values in (A)
Thus Option a is correct i.e.
Answer:
x ≈ -4.419
Step-by-step explanation:
Separate the constants from the exponentials and write the two exponentials as one. (This puts x in one place.) Then use logarithms.
0 = 2^(x-1) -3^(x+1)
3^(x+1) = 2^(x-1) . . . . . add 3^(x+1)
3×3^x = (1/2)2^x . . . . .factor out the constants
(3/2)^x = (1/2)/3 . . . . . divide by 3×2^x
Take the log:
x·log(3/2) = log(1/6)
x = log(1/6)/log(3/2) . . . . . divide by the coefficient of x
x ≈ -4.419
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A graphing calculator is another tool that can be used to solve this. I find it the quickest and easiest.
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<em>Comment on alternate solution</em>
Once you get the exponential terms on opposite sides of the equal sign, you can take logs at that point, if you like. Then solve the resulting linear equation for x.
(x+1)log(3) = (x-1)log(2)
x=(log(2)+log(3))/(log(2)-log(3))
The standard deviation for the combined assignment is 5 minutes.
To combine the standard deviations, we use:
With our information, we have:
To combine the standard deviations, we use:
With our information, we have: