x = 2a
a = 3
x = 2 · 3 = 6 ← the end answer
Answer:
Step-by-step explanation:
Given
Proportion = 55%
Required
Probability that at least one out of 7 selected finds a job
Let the proportion of students that finds job be represented with p
Convert to decimal
Let the proportion of students that do not find job be represented with q
Such that;
Make q the subject of formula
In probability; opposite probabilities add up to 1;
In this case;
Probability of none getting a job + Probability of at least 1 getting a job = 1
Represent Probability of none getting a job with P(none)
Represent Probability of at least 1 getting a job with P(At least 1)
So;
Solving for the probability of none getting a job using binomial expansion
Where and n = 7; i.e. total number of graduates
For none to get a job, means 0 graduate got a job;
So, we set r to 0 (r = 0)
The probability becomes
Substitute 7 for n
Substitute and
Recall that
Substitute
Make P(At least 1) the subject of formula
<em>(Approximated)</em>
Answer:
22.14
Step-by-step explanation:
Using the Pythagorean Theorem:
a^2 + b^2 = c^2
21^2 + 7^2 = c^2
441 + 49 = c^2
490 = c^2 (square root both sides so c^2 becomes c)
c = 22.13594363 (round to hundredths)
c = 22.14