Answer:
The probability is 
Step-by-step explanation:
From the question we are told
The population proportion is 
The sample size is 
The number of graduate who had job is k = 209
Generally given that the sample size is large enough (i.e n > 30) then the mean of this sampling distribution is

Generally the standard deviation of this sampling distribution is

=> 
=> 
Generally the sample proportion is mathematically represented as

=> 
=> 
Generally probability of obtaining a sample proportion as low as or lower than this, if the university’s claim is true, is mathematically represented as


From the z table the area under the normal curve to the left corresponding to -3.022 is

=> 
Answer:
115 degrees
Step-by-step explanation:
The line RQ meets at 115 degrees (Look at the bottom numbers)
It's not 65 degrees because the angle is obtuse.
Answer:
see explanation
Step-by-step explanation:
The common difference d of an arithmetic sequence is
d =
-
=
- 
Substitute in values and solve for k, that is
5k - 1 - 2k = 6k + 2 - (5k - 1)
3k - 1 = 6k + 2 - 5k + 1
3k - 1 = k + 3 ( subtract k from both sides )
2k - 1 = 3 ( add 1 to both sides )
2k = 4 ⇒ k = 2
--------------------------------------------------------
The n th term of an arithmetic sequence is
=
+ (n - 1)d
= 2k = 2 × 2 = 4 and
d = 5k - 1 - 2k = 3k - 1 = (3 × 2) - 1 = 5
Hence
= 4 + (7 × 5) = 4 + 35 = 39
Answer:
B
Step-by-step explanation:
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