Answer:
What grade are you
Step-by-step explanation:
Answer:
Value of test statistics = 2.30
Step-by-step explanation:
We are given that for a sample of 35 items from a population for which the standard deviation is 20.5, the sample mean is 458.
Also, Null Hypothesis, 
: 
= 450
Alternate Hypothesis, 
: 
450
The test statistics that will be used here is One sample t-test statistics;
T.S. = 
~ 
where, 
= sample mean = 458
s = sample standard deviation = 20.5
n = sample of items = 35
So, test statistics = 
~ 
= 2.30
Therefore, the value of test statistics is 2.30 .
The amount of space left with the snakd container inside the wastebasket=
=(volume of the wastebasket) - (volume of the sanak container)
Volume (cylinder)=area of the circle * height
1) We calculate the volume of a wastebasket:
area of the circle=πr²=π(5 in)²=25π in²
heigth=20 in.
Volume=25π in² * 20 in=500π in³.
2) we calculate the volume of the snack container:
area of the circle=πr²=π(4 in)²=16π in²
heigth=6 in.
Volume=16π in² * 6 in=96π in³
3) we calculate the amount of space left with the sanak container inside the wastebasket.
amount of space left=500π in³ - 96π in³=404π in³
404π in³=404 * 3.141592654...in³≈1269.2 in³
Answer: 404π in³ or ≈1269.2 in³
Answer: 2,125,764
Step-by-step explanation:
You can use the equation y=ar^n-1 to find the 13th term where a is the starting term, r is the common ratio, and n is the nth term
The next number is 12/4=3 times greater than the first. So if this sequence is a geometric one, then the next term must be 12*3=36. This is true, and the next term must be 36*3=108, which is also true. Therefore this sequence is a geometric one and its common ratio is 3. Therefore the equation is:
y=4*3^(n-1)
Substitute 13 for n:
y=4*3^(13-1)
y=4*3^12
y=2125764
Therefore, the 13th term of this geometric sequence is 2,125,764
