Answer:
The point estimate for the population standard deviation of the length of the curtains is 8.58in.
Step-by-step explanation:
The Central Limit Theorem estabilishes 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 point estimate for the population standard deviation of the length of the curtains is
. So




The point estimate for the population standard deviation of the length of the curtains is 8.58in.
This problem asks, as simply put, the value of the function at x=3. So, plug in three to find your answer:
2(3) + 1 = 7, so g(3) is 7
Answer:
x=4
Step-by-step explanation:
6^x = 1296
Take the log base 6 on each side
log6(6^x) = log6(1296)
Rewrite 1296 as 6^4
x = log 6(6^4)
We know that log( a^b) = b log (a)
x = 4 log6(6)
We know that loga(a) =1
x = 4 *a
x =4
Answer:
y = 16 
Step-by-step explanation:
Use the given points to find the values of a and b
Using (0, 16), then
16 = a
(
= 1 ), thus
a = 16
y = 16 
Using (2, 400), then
400 = 16b² ( divide both sides by 16 )
b² = 25 ( take the square root of both sides )
b =
= 5
Thus
y = 16 ×
← exponential function
This is a question related to Science dear!