Answer:
a

b

c

Step-by-step explanation:
From the question we are told the
The probability of getting into getting into graduated school if you receive a strong recommendation is 
The probability of getting into getting into graduated school if you receive a moderately good recommendation is 
The probability of getting into getting into graduated school if you receive a weak recommendation is 
The probability of getting a strong recommendation is 
The probability of receiving a moderately good recommendation is 
The probability of receiving a weak recommendation is 
Generally the probability that you will get into a graduate program is mathematically represented as

=> 
=> 
Generally given that you did receive an offer to attend a graduate program, what is the probability that you received a strong recommendation is mathematically represented as

=> 
=> 
Generally given that you didn't receive an offer to attend a graduate program the probability that you received a moderately good recommendation is mathematically represented as



The correct answer might be A
She has 45% of the original amount left
<h3>Ratio and proportions</h3>
Fractions are written as a ratio of two integers
Given the following
Initial amount. = ∈4000
Amount given to her sister = 1/4 * 4000 = 1000
Amount given to her brother = 40% of 3000 = 1200
Amount left = 4000 - (1000+1200)
Amount left = ∈1800
Determine the percentage left
x * 4000 = 1800
x = 1800/4000
x = 0.45
x = 45%
Hence she has 45% of the original amount left
Learn more proportion here: brainly.com/question/19994681
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Answer:
<h2>0i</h2>
Step-by-step explanation:
The imaginary number has form:
<em>a + bi</em>
<em>a</em><em> - real part</em>
<em>bi</em><em> - imaginary part</em>
<em>i</em><em> - imaginary unit (i = √-1)</em>
We have the number 9.
<em>9</em><em> is a real part</em>
An imaginary part is equal 0.
Therefore the imaginary part of number 9 is 0i.
<span>triangle ABD and the triangle CDB are similar
the options are </span><span>ASA and CPCTC</span>