To find the volume of this composite figure, we simply need to take the volume of the large rectangular prism and subtract the volume of the chunk that was taken out of it.
So, we will start by just multiplying for volume of the entire whole prism, which would simply be length * width * height.
10 * 7 = 70
70 * 6 = 420
The volume of the entire figure, without the bit missing, is 420 cubic centimeters.
Now, we need to subtract the volume of the missing piece.
So we will take the volume of the smaller missing piece. We are given the length and width (3 and 6), but we don't know the height. We can find the height, though from the information given. We know that the height of the entire figure is 7, and that the distance from the bottom of the figure to the bottom of the chunk missing is 4, so we can just subtract to find the height of the missing figure.
7 - 4 = 3
And the height of the missing piece is 3.
So now, we can multiply:
3 * 6 = 18
18 * 3 = 54
The missing figure has a volume of 54 cubic centimeters.
Now, we can subtract.
420 - 54 = 366
The composite figure has a volume of 366 cubic centimeters.
Hope that helped! =)
Answer:
The lower limit of the 90% confidence interval for the population mean life of the new model is 72.53 months.
Step-by-step explanation:
Our sample size is 13.
The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So
Then, we need to subtract one by the confidence level and divide by 2. So:
Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 12 and 0.05 in the t-distribution table, we have .
Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So
Now, we multiply T and s
The lower end of the interval is the mean subtracted by M. So it is 75 - 2.47 = 72.53
The lower limit of the 90% confidence interval for the population mean life of the new model is 72.53 months.
Answer:
P(X > 5) = 0.1164 to 4 d.p.
The parameters are defined in the explanation.
Step-by-step explanation:
This is a binomial distribution problem
Binomial distribution function is represented by
P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ
n = total number of sample spaces = number of potential hires = 10
x = Number of successes required = number of potential hires that have prior call centre experience = more than half; that is, x > 5
p = probability of success = probability that any potential hire will have experience = (11/30) = 0.367
q = probability of failure = probability that any potential hire will NOT have experience = 1 - p = 1 - 0.367 = 0.633
P(X > 5) = P(X=6) + P(X=7) + P(X=8) + P(X=9) + P(X=10)
Inserting the parameters and computing the probabilities for each of those values of X,
P(X > 5) = 0.11641775484 = 0.1164 to 4 d.p.
Hope this Helps!!!
Answer:
8.25
Step-by-step explanation:
A brainliest would be thanked! Also I hope I helped
Answer:
Step-by-step explanation:
1) Red is the parent graph. 2) Blue is the reflection across the x-axis.
3) Green is multiplied by a factor of 5/3. (Click the imaged to see full size, i think.)
(And Thank Desmos graphing calculator)