The annual salary of Mrs. Fredrick is $ 39397.2
<u>Solution:</u>
Given, Mrs. Frederick is paid semimonthly.
Her semi-monthly salary is $1.641.55.
Now, let us find her monthly salary first.
<em>monthly salary = 2 x semi – monthly salary </em>
So, monthly salary = 2 x 1,641.55 = $ 3283.1
Since there 12 months in a year, we obtain the annual salary as follows:
Now, the<em> annual salary = 12 x monthly salary </em>
Annual salary = 12 x 3283.1 = $ 39397.2
Hence, the annual salary of Mrs. Fredrick is $ 39397.2
Answer:
The probability that a student is taking calculus given that he or she is taking statistics is = 0.26
Step-by-step explanation:
the probability that a student is taking calculus given that he or she is taking statistics.
Let C = Calculus
S = Statistics
We solve this above Question nursing the formula;
P ( C ∪ S) = P(C) + P ( S ) - P ( C ∩ S)
From the question,
P(C) = 0.10
P( S ) = 0.18
P ( C ∩ S) = 0.02
P ( C ∪ S) = ???
P ( C ∪ S) = 0.10 + 0.18 - 0.02
= 0.28 - 0.02
= 0.26
Answer:
6,852,780
Step-by-step explanation:
Answer:
0.99865
Step-by-step explanation:
The question above is modelled by gaussian distribution. Gaussian distribution is also known as Normal distribution.
To solve the above question, we would be using the z score formula
The formula for calculating a z-score
z = (x-μ)/σ,
where x is the raw score
μ is the population mean
σ is the population standard deviation.
In the above question,
x is 115 liters
μ is 100
σ is the population standard deviation is unknown. But we were given variance in the question.
Standard deviation = √Variance
Variance = 9
Hence, Standard deviation = √9 = 3
We go ahead to calculate our z score
z = (x-μ)/σ
z = (115 - 100) / 3
z = 15/ 3
z score = 5
Using the z score table of normal distribution to find the Probability of having a z score of 5
P(x = 115) = P(z = 5) =
0.99865
Therefore the probability that this year it will produce 115 liters of wine = 0.99865
Answer:
^
Step-by-step explanation:
