Use the drawing tool(s) to form the correct answer on the provided number line.
2 answers:
Answer:
see below
Step-by-step explanation:
Eric will drive between 70 -4 = 66 mph and 70+4 = 74 mph. He will <em>not</em> drive less than 66 or more than 74 mph.
Answer:
Step-by-step explanation:
In general, solutions to absolute value inequalities, as in this case, take two forms:
If | x | <a, then x<a or x> -a.
If | x |> a, then x> a or x <-a.
In this case, you have |x − 70| ≤ 4. So, you have two cases:
x − 70 ≤ 4 and x − 70 ≥ -4
Solving both equations:
x − 70 ≤ 4
x ≤ 4 + 70
x≤ 74
and
x - 70 ≥ -4
x ≥ -4+70
x ≥ 66
It is convenient to graph both solutions, as shown in the attached image .
The intersection between both conditions is the solution to the inequality (that is, in the image it is shown as the interval painted by both colors). In this case, the solution is 66≤x≤74
This indicates that Eric can drive within this speed range.
The range of speeds Eric would not drive at under the given conditions is x≤66 and x≥74, as shown in the other image.
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Answer:
a) 18.4%
Step-by-step explanation:
Assuming a normal distribution, the z-score (z) for the probability of the average of the mosquitoes count being 'X' is given by:
Where 'μ' is the distribution mean, 'σ' is the standard deviation and 'n' is the number of square meters chosen.
For X = 81.8 and n=36:
A z-score of 0.9 is equivalent to the 81.59 th percentile in a normal distribution.
Therefore, the probability (P) that the average of those counts is more than 81.8 mosquitoes per square meter is: