An inequality of the form
|X| < k,
where X is an expression in x, and k is a non-negative number, is solved by solving the following inequality
-k < X - k
You are given
|s| <= 2
Follow the pattern above to get
-2 <= s <= 2
In interval notation, the answer is
[-2, 2]
its F because the slopes are the same
Carlita was either sipping the hot chocolate while she was out, or else
approximating the numbers. The exact number she reported is not
possible. To see why, I'll do it strictly by the math:
Robins = 5 times
Cardinals = 1 time
Total birds = 6 times
6 times = 25 birds
Divide each side by 6 : 1 time = 25/6 = 4-1/6 birds
Robins = 5 times = 20-5/6 of them
Cardinals = 1 time = 4-1/6 of them
Total: (20-5/6) + (4-1/6) = 25 birds.
How many more robins than cardinals = (20-5/6) - (4-1/6) = 16-2/3 more.
The math works out fine. But if the numbers she reported are true,
then some of what she saw was partial birds ... legs, or feathers,
things like that. Eeeew. I don't want to talk about it.
Answer:
The probability that <em>X</em> is less than 42 is 0.1271.
Step-by-step explanation:
The random variable <em>X </em>follows a Normal distribution.
The mean and standard deviation are:
E (X) = <em>μ</em> = 50.
SD (X) = <em>σ</em> = 7.
A normal distribution is continuous probability distribution.
The Normal probability distribution with mean µ and standard deviation σ is given by,

To compute the probability of a Normal random variable we first standardize the raw score.
The raw scores are standardized using the formula:

These standardized scores are known as <em>z</em>-scores and they follow normal distribution with mean 0 and standard deviation 1.
Compute the probability of (X < 42) as follows:

*Use a <em>z</em>-table for the probability.
Thus, the probability that <em>X</em> is less than 42 is 0.1271.
The normal curve is shown below.