Answer:
<em>t=60</em>
Step-by-step explanation:
3/2t-16=4/3t-6
(subtract 4/3t from both sides)
3/2t-16-4/3t=-6
(add 16 to both sides)
3/2t-4/3t=-6+16
(simplify)
1/6t=10
(divide by 1/6 (or multiply by 6 on both sides)
t=60
Answer:
8.5
Step-by-step explanation:
Bayes factor is the ratio of the likelihood of one particular hypothesis against the likelihood of the another hypothesis. Bayes factor can be interpreted as a measure of strength of evidence in favor of one theory among two competing theories.
Bayes Factor is defined as below:

H1 = alternative hypothesis
H0 = null hypothesis
Bayes Factor = 0.85/0.1 = 8.5
The answer is the first answer choice
Answer:
Percent form: 41.65%
Fraction form: 
Step-by-step explanation:
33% of men support John Smith.
67% of women support John Smith.
Lets say, for instance, that there are 20 polled individuals -- 10 women and 10 men.
However, since 1.5 times as many men voted as women, we have to apply our poll to 15 men and 5 women.
33% of the 15 men makes 5 men who voted for Smith and 10 who did not.
67% of the 5 women makes 3.33 women who voted for Smith and 1.67 who did not.
Add these numbers together.
8.33 total voters were cast for John Smith, while 11.67 were not.
Now, divide 8.33 by 20 and multiply by 100 to obtain a percentage.

41.65% of voters voted for John Smith according to the results of the poll.
Answer:
32 one-dollar bills.
Step-by-step explanation:
Let <em>x </em>represent one-dollar bills and <em>y </em>represent two-dollar bills.
He has a total of 49 bills. Therefore:

The total amount of money James has is 66. <em>x</em> is worth one dollar, while <em>y</em> is worth two dollars. Therefore:

We have a system of equations. Solve by substitution:

Therefore, James has 32 one-dollar bills and 17 two-dollar bills.
Checking:
