Answer:
Step-by-step explanation:
5.8(20−3x)
=(5.8)(20+−3x)
=(5.8)(20)+(5.8)(−3x)
=116−17.4x
=−17.4x+116
Answer:
For this sample, the estimated standard error is of 0.0277
Step-by-step explanation:
Central Limit Theorem
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 a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean
and standard deviation 
Examining the records of 250 convicts, the official determines that there are 65 cases of recidivism.
This means that 
For this sample, the estimated standard error is

For this sample, the estimated standard error is of 0.0277
Sin^2 (2x) = (1 - cos(4x))/2
---> sin^4 (2x) = (1/4)(1 - cos4x)^2 = (1/4)(1 - 2cos4x + cos^2 (4x)) and replace cos^2(4x) by (1/2)(1+cos(8x)) --->answer
Answer: 1,200 ml
Step-by-step explanation:
The ratio is 1 : 5.
If 200 ml of concentrate is used, the water used will be:
1 : 5
200 : x
x = 1,000 ml of water
The amount of juice would be:
= water + concentrate
= 1,000 + 200
= 1,200 ml