Which is a correct first step in solving 5 - 2x < 8x- 3?
1 answer:
Answer:
Step-by-step explanation:
Given:
The given inequality is:
The given inequality has variable 'x' on both sides of the inequality.
In order to solve such inequalities, we bring the variables on the same side as the first step in solving for 'x'.
Therefore, we could either add on both sides or add
both sides to bring the variable terms on same side.
If we add both sides, we get:
So, among all the given options, third option matches the above inequality.
Therefore, the first step in solving the given inequality is
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Answer:
(a) 0.5899
(b) 0.9166
Step-by-step explanation:
Let X be the random variable that represents the height of a woman. Then, X is normally distributed with
= 62.5 in
= 2.2 in
the normal probability density function is given by
, then
(a) = 0.5899
(in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2)
(b) We are seeking where n = 37.
is normally distributed with mean 62.5 in and standard deviation
. So, the probability density function is given by
, and
= 0.9166
(in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2/sqrt(37))
You can use a table from a book to find the probabilities or a programming language like the R statistical programming language.