Answer:
(B) all surveys have a sampling error.
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
circumference of a circle=2πr
area=πr²
1) we calculate the radius of this circle.
Data:
area=9π m²
area=πr²
9π m²=πr²
r²=9π m² / π
r²=9 m²
r=√(9 m²)=3 m
2) we calculate the circumference:
circumference=2πr=2π(3 m)=6π m
Answer: the circumference is 6π m
Answer:
The probability is 1/2
Step-by-step explanation:
The time a person is given corresponds to a uniform distribution with values between 0 and 100. The mean of this distribution is 0+100/2 = 50 and the variance is (100-0)²/12 = 833.3.
When we take 100 players we are taking 100 independent samples from this same random variable. The mean sample, lets call it X, has equal mean but the variance is equal to the variance divided by the length of the sample, hence it is 833.3/100 = 8.333.
As a consecuence of the Central Limit Theorem, the mean sample (taken from independant identically distributed random variables) has distribution Normal with parameters μ = 50, σ= 8.333. We take the standarization of X, calling it W, whose distribution is Normal Standard, in other words
The values of the cummulative distribution of the Standard Normal distribution, lets denote it 
, are tabulated and they can be found in the attached file, We want to know when X is above 50, we can solve that by using the standarization
Answer:
The pasta fills up 90 cubic inches of the box.
Step-by-step explanation:
In order to solve this problem, we need to use the formula h×w×l=v.
Let h represent height.
Let w represent width.
Let l represent length.
In this case, the box of pasta is 8 inches tall (h), 2.5 inches deep (l), and 6 inches wide (w).
8×2.5×6=120
Since the volume of the box is 120 cubic inches and the pasta only fills up 3/7, or 75% of the box, we can multiply 120×0.75 to find how many cubic inches the pasta fills up.
120×0.75=90
Therefore, the pasta fills up 90 cubic inches of the box.
