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:
The probability of not rain during the entire festival is 0.19
Step-by-step explanation:
The Complement Rule states that the sum of the probabilities of an event and its complement must equal 1.
In this case we have the probability of raining of each day, we need the probability of NOT raining.
First day= 45% chance of rain, the complement is 55%
Second day 55% chance of rain, the complement is 45%
Third day a 10% chance of rain, the complement is 90%
Fourth day a 10% chance of rain, the complement is 90%
Fifth day 5% chance of rain, the complement is 95%
To get the probability of NOT raining in the entire festival is the multiplication of all the complements.
P(not raining) = 0.55 x 0.45 x 0.90 x 0.90 x 0.95= 0.19
Answer: 1) Percentage, Probability, Proportion
Step-by-step explanation:
In statistics,
▪Proportion means a fraction of the total.
▪Percentage means a number or a ratio, expressed as a fraction of 100. Here, the total is 100.
▪Probability which may look slightly different from the other two means a number between 0 and 1, showing the exact likelihood of an event happening. Which in context can mean, a number showing a fraction of an event happening out of the whole (0 to 1).
▪Critical value means a point in hypothesis testing on the test distribution that is compared to the test statistic to determine whether to reject the null hypothesis.
In the four definitions, the odd one out is Critical Value.
So the option without critical value in it is option 1) Percentage, Probability, Proportion since we can use the three interchangeable.
To solve this problem you must appply the formula for simple interest, which is:
I = RxPxN
I: Simple Interest.
R:Rate (9.5$/100=0.095/12).
P: The principal (P=$9000).
N:number of periods (N=24).
When you substitute these values into the formula, you obtain:
I=RxPxN
I=(0.095/12)x9000x24
I=$1710
Therefore, the monthly payment is:
$1710/24=$71.25
What is Jerry's monthly payment?
The answer is: Jerry's monthly payment is $71.25
Answer:
The answer to your question is Superficial area = 144 + 36√3
Step-by-step explanation:
Process
1.- Calculate the area of the base
Area = base x height / 2
-Calculate the height using the Pythagorean theorem
h² = 12² - 6²
h² = 144 - 36
h² = 108
h = √108
108 2
54 2
27 3
9 3
3 3
1
h = 6√3
Area = 12 x 6√3/2
Area = 36√3 u²
2.- Calculate the area of the superficial 3 triangles
Area = base x height / 2
-Calculate the height using the Pythagorean theorem
h² = 10² - 6²
h² = 100 - 36
h² = 64
h = 8
Area = 12 x 8/2
Area = 48 u²
Total area = 3(48) + 36√3
= 144 + 36√3
