For this case we have to by definition:
1 kilojoule equals 0.239006 kilocalorie.
1 kilocalorie equals 1000 calories
Then, if we have:
Now:
Answer:
The opposite angles of a parallelogram have measures of (3x-20) and (x+15). Find x
1 answer:
ANSWER
The value of x is,
EXPLANATION
We were given that the opposite angles of a parallelogram are
and 
.
The opposite angles of a parallelogram are equal.
We can write the equation below in x and use to find the value of x.
We group like terms to obtain,
This implies that,
We divide both sides of the equation by 2 to obtain,
The value of x is,
EXPLANATION
We were given that the opposite angles of a parallelogram are
The opposite angles of a parallelogram are equal.
We can write the equation below in x and use to find the value of x.
We group like terms to obtain,
This implies that,
We divide both sides of the equation by 2 to obtain,
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Answer:
The mean is of -0.4 hours.
Step-by-step explanation:
To solve this question, we need to understand the central limit theorem and subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem establishes 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.
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Mean of the sample of 64 Duracell:
By the Central Limit Theorem, 4.1 hours.
Mean of the sample of 64 Eveready:
By the Central Limit Theorem, 4.5 hours.
Mean of the difference?
Subtraction of normal variables, so we subtract the means.
4.1 - 4.5 = -0.4
The mean is of -0.4 hours.