By the Central Limit Theorem, the best point estimate for the mean GPA for all residents of the local apartment complex is 1.7.
The Central Limit Theorem established that, for a normally distributed random variable X, with mean and standard deviation, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation ;
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem, we have that:
The sample of 112 residents has a mean GPA of 1.7.
By the Central Limit Theorem, the best point estimate for the mean GPA for all residents of the local apartment complex is 1.7.
Learn more about Mean:
brainly.com/question/4313883
#SPJ4
So for this, you will be doing two different multiplications: 3 x 4 and √8 x √3.
3 x 4 = 12
√8 x √3 = √24
Now our result is 12√24, however, this can be simplified. Using the product rule of radicals (√ab = √a x √b), our simplification is such:
12√24 = 12√(8 x 3) = 12√(4 x 2 x 3) = 2 x 12√(2 x 3) = 24√6
In short, the answer is 24√6, or the first option.
400×10=4000
400×2=800
50×10=500
50×2=100
2×10=20
2×2=4
4000+800+500+100+20+4=5,424
Check answer by multiplying 452 and 12
452×12=5,424
Answer: Part A: a square pyramid Part B: 84 square feet
Step-by-step explanation:
Part A: The shape will have a base that is a square with triangles on each of its edges that connect at a point at the top.
Part B: The amount of nylon needed is the surface area of the net. There is a square and two triangles. The square has a side length of 6 so its area will be 6*6=36 square feet. Each triangle has a base of 6 and a height of 4 so each of their areas will be
square feet. Adding up the area of the 4 triangles and the square gives us 4*12+36=84 square feet.
Hi!
-9f + 19 - 1 + f is actually -8f + 18.
To do this we add like terms, -9f and f; and 19 and -1
-9f + f is -8f
19 - 1 is 18
Therefore your answer is -8f + 18