Answer:
volume of trapezoidal prism = 15x^2 cubic units
Step-by-step explanation:
First, area of the trapezoidal bases.
Parallel sides measure x and 2x, for an average of 1.5x.
Height = x
Area of trapezoidal base = 1.5x*x = 1.5x^2
Volume of prism = area base * height
(length does not matter, height does)
= 1.5x^2 * 10 = 15x^2
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
I would choose B. because first of all negative -2 can't be equal to -4 (but that's just my opinion)
Answer:
3456
Step-by-step explanation:
Ten times the dimensions is:
4.8 * 10 in by 7.2 * 10 in = 48 by 72 inches
The area is the product of the two numbers:
48*72 = 3456 inches squared
Answer:
3 people
Step-by-step explanation:
$51/$17 = 3 people
- We know to start with $51 dollars because that is the total price of the meal.
- We also know each meal costs $17.
- Next, ask youself what we are trying to find? We are trying to find how many people are eating.
- Therefore to find that we need to take our starting amount $51 divided by $17 because that is the cost of 1 meal.
- $51/$17 = 3 people (whole cost/individual cost = # of people)
- To check this take 3 x 17 = 51 (Now we know it is correct)
- If you would like a further explanation please let me know.
