Answer:
both each side of each triangle is equal
use alphabets to mark each edge of the triangles and prove congruency
The answer to the question is y=-24x
Answer:
0.0082 = 0.82% probability that he will pass
Step-by-step explanation:
For each question, there are only two possible outcomes. Either the students guesses the correct answer, or he guesses the wrong answer. The probability of guessing the correct answer for a question is independent of other questions. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem we have that:
.
If the student makes knowledgeable guesses, what is the probability that he will pass?
He needs to guess at least 9 answers correctly. So
0.0082 = 0.82% probability that he will pass
To find median you set up the number least to greasiest and then cross each one out one side at a time until you get to the middle
a total of $9500 is invested, part at 10% simple interest and part at 9%
if the total annual return from the two investments is $914.00
Amount invested = 9500
Total amount return means total yield = $914
Let x amount is invested at 10% simple interest
Interest for first part = 10 % times x = 0.10x
Remaining part invested is 9500 -x
Interest for remaining amount = 9% (9500 -x) = 0.09(9500-x)
Total interest yield is 914. Now we frame an equation
0.10x + 0.09(9500-x) = 914
0.10x +855 - 0.09x = 914 (combine like terms)
0.01 x + 855 = 914 (subtract 855)
0.01x = 59 ( divide both sides by 0.01)
So x = 5900
$5900 is invested in 10% simple interest
9500 - 5900 = $3600 is invested in 9% simple interest
