parallel: g(x) = -5/3x + 1
perpendicular: h(x) = 3/5x - 5
neither: j(x) = 2x + 3
Answer:
The mean is 95 and the standard deviation is 2
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.
In this question:
Population:
Mean 95, Standard deviation 12
Samples of size 36:
By the Central Limit Theorem,
Mean 95
Standard deviation 
Answer: 96 teaspoons
Step-by-step explanation:
If 1 cup contains 16 tablespoons the 2 cups will contain;
= 16 * 2
= 32 tablespoons
If 1 tablespoon contains 3 teaspoons then 32 tablespoons will contain;
= 32 * 3
= 96 teaspoons
Answer:
x+y=11
Step-by-step explanation:
take the square root of both sides.
(x-7) + (y+3) = 7
collect like terms
x+y = 7+7-3
Answer:
DM
Step-by-step explanation:
We can represent the pizza as 1. And every time we take a slice, we take percentage away. This pizza is cut up equally into 10 slices. So, if we take away a slice, we take away 1/10 of the pizza. What if Sally ate 6 slices? Same difference. She took away 6/10 of the pizza.
And to answer the question, "What percentage of the pizza did Sally eat if she had six slices?"
We will convert the 6/10 into a percentage. First convert the fraction into a decimal then into a percent.
To convert a fraction into a decimal, simply divide it's numerator by it's denominator.
6/10 = 0.60
And to convert a decimal into a percentage, move the decimal point two places to the right and change it into a % sign.
0.60 = 60%
So, the answer to this question C) 60%
If you are still confused, DM me and I'll do my best to help!