Answer:
1) x = 25 2) x = 23; m∠CBD = 80 degrees
Step-by-step explanation:
1) 5x + 15 = 6x - 10 Set both equations equal to each other
- 5x - 5x Subtract 5x from both sides
15 = x - 10
+ 10 + 10 Add 10 to both sides
25 = x
2) 2x + 14 + x + 7 = 90 Set the equations equal to 90
3x + 21 = 90 Combine like terms
- 21 - 21 Subtract 21 on both sides
3x = 69 Divide both sides by 3
x = 23
Plug 23 into the equation
2(23) + 14 = 60
So, what is the total lenght of the pieces that wer cut off?
we multiply the lenght by the number:
4

*5=20+

=21

and we subtract this from the original pipe, that is
30

-21

we need to bring the two fractions to the same denominator (by multiplying the fraction art in the first by 3 and 4 the second):
30

-21

=9

so the correct answer is D!
Answer:
True
Step-by-step explanation:
Bayes' theorem is indeed a way of transforming prior probabilities into posterior probabilities. It is based on the principle of conditional probability. Conditional probability is the possibility that an event will occur because it is dependent on another event.
The prior probability in this theorem is the present understanding we possess about the possible outcome of an event based on the current understanding we have about the subject. Posterior probability on the other hand is the new understanding we have of the subject matter based on an experiment that has just been performed on it. Bayes' Theorem finds widespread application which includes the fields of science and finance. In the finance world, for example, Bayes' theorem is used to determine the probability of a debt being repaid by a debtor.
Answer:First you have to add all of the shirts together, which gives you: 40
Since 15 of those are black, then you need to put those 15 over the total number of 40, making it 15/40.
Then you must simplify by the highest number that will go into both, and since that number is 5, it will then go into 15 three times and it will go into 40 eight times.
That leaves you with the answer of: 3/8