Answer:
Step-by-step explanation:
![\sqrt[3]{-\frac{1}{512}}=\frac{\sqrt[3]{-1}}{\sqrt[3]{512}}=\frac{-1}{8}=-\frac{1}{8}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B-%5Cfrac%7B1%7D%7B512%7D%7D%3D%5Cfrac%7B%5Csqrt%5B3%5D%7B-1%7D%7D%7B%5Csqrt%5B3%5D%7B512%7D%7D%3D%5Cfrac%7B-1%7D%7B8%7D%3D-%5Cfrac%7B1%7D%7B8%7D)
Answer:
Step-by-step explanation:
Hello!
The definition of the Central Limi Theorem states that:
Be a population with probability function f(X;μ,δ²) from which a random sample of size n is selected. Then the distribution of the sample mean tends to the normal distribution with mean μ and variance δ²/n when the sample size tends to infinity.
As a rule, a sample of size greater than or equal to 30 is considered sufficient to apply the theorem and use the approximation.
X[bar]≈N(μ;σ²/n)
If the variable of interest is X: the number of accidents per week at a hazardous intersection.
There is no information about the distribution of this variable, but a sample of n= 52 weeks was taken, and since the sample is large enough you can approximate the distribution of the sample mean to normal. With population mean μ= 2.2 and standard deviation σ/√n= 1.1/√52= 0.15
I hope it helps!
Answer:
A
Step-by-step explanation:
We take a look at this expression: 
and notice that both terms are square numbers. 
and 
.
There is a specific formula that I highly recommend you memorize involving differences of squares. It states that given the difference of squares 
, it can always be factored into 
.
Here, we can apply that. In this case, a = 7x and b = 3. So:
Thus, the answer is A.
Hope this helps!
Answer:
2.5
Step-by-step explanation:
Part a : Net A because when you fold it up it will look like the wanted prism
Part b : AB = 3 in
BC = 5 in
CD = 7.2 in
Part c : area of one triangle = 4*3 = 12 / 2 = 6
6 * 2 = 12 (because there are 2 triangles)
7.2 * 3 = 21.6
7.2 * 4 = 28.8
7.2 * 5 = 36
Add them all up : 12+21.6+28.8+36 = 98.4
So surface area is 98.4 in
