Answer:
a) 471.5 kilo-watt hours.
b) 31.76 kilo-watt hours
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.
For the population:
Mean 471.5 kilo-watt hours.
Standard deviation of 187.9 kilowatt-hours.
For the sample:
Sample size of 35, by the Central Limit Theorem:
a) Mean
471.5 kilo-watt hours.
b) Standard deviation

31.76 kilo-watt hours
Answer: x=90
Step-by-step explanation: Okay let's see! Let's solve your equation step-by-step.
x
42
=
15
7
Step 1: Cross-multiply.
x
42
=
15
7
x*(7)=(15)*(42)
7x=630
Step 2: Divide both sides by 7.
7x
7
=
630
7
x=90
Answer:
3^9 = 19,683
Step-by-step explanation:
The applicable rule of exponents is ...
(a^b)(a^c) = a^(b+c)
__
Then the expression evaluates to ...
3^4 × 3^2 × 3^3 = 3^(4+2+3) = 3^9 = 19683
Answer:
2x-2=8
Step-by-step explanation:
2x-2=8
2x=8+2
2×=10
2×÷2×=10÷2
×=5