Bu using Pythagoras theorem
(x^2)+(21)^2=(75)^2
Therefore. 5625-441=(x)^2
X^2=5184
Therefore x=72
Third side length=72 units
Answer:
The distribution is approximately normal with mean = 2.8 and standard error = 0.4
Step-by-step explanation:
We are given;
Mean; μ = 2.8
Standard deviation; σ = 4
Sample size; n = 100
Now, the central limit theorem states that the sample mean with a sample size(n) from a population mean (μ) and population standard deviation(σ) will, for large value of n, have an approximately normal distribution with mean μ and standard error as (σ/√n)
The sample size is 100 and thus it's very large because it's bigger than minimum of 30 for approximate distribution.
Thus, SE = (σ/√n) = 4/√100 = 4/10 = 0.4
Thus,from the central limit theorem I described, we can say that the distribution is approximately normal with mean = 2.8 and standard error = 0.4
A centroid printer is a fast-print printer with a speed of 20 pages per minute. A surefire printer is also fast but it's a bit slower with a printing speed of 15 pages per minute. So,
180 pages / (20 pages per minute) - 180 / (15 pages per minute)
= 36 minutes
It would take 36 minutes faster for the centroid printer to print the document than a surefire printer.
Answer: c) 2x-5
We can represent two times micheal’s age as 2x, and 5 years younger would be you subtract 5
So the answer is 2x-5
Sin(x) =1/10
So Cos x is not known
Hence Tan(x) = Sin(x)/Cos(x)
= 1/10/cos(x)
so cos(x)/10