For this case we must find the solution of the following inequalities:

From the first inequality we have:

Subtracting 2 from both sides of the inequality:

Equal signs are added and the same sign is placed.

Dividing between 4 on both sides of the inequality:

Thus, the solution is given by all values of "v" greater than -1.
From the second inequality we have:

Adding 5 to both sides of the inequality we have:

Dividing by 3 to both sides of the inequality we have:

Thus, the solution is given by all values of "v" less than 4.
Then, the solution set is given by the union of both intervals.
The union consists of all the elements that are contained in each interval.
(-∞,∞)
Answer:
The solution set is: (-∞,∞)
X=3
Y=5
0.30 x 5 = 1.5
1.50 x 3 = 4.5
1.5 + 4.5 = 6
Answer:
Probability = 0.15%
Step-by-step explanation:
The provided information is:
Let X be the scores of the IQ scores that is normally distributed with mean
and standard deviation
.
That is 

So, 58 is 3 standard deviation left to the mean.
As 99.7% of probability lies within the three standard deviation.
Thus, above three standard deviation is:

Thus, the required probability is 0.15%
The amount earned hourly by Ryan and the number of work hours required to cover his vacation cost are $29.75 and 63 hours respectively.
<u>Given the Parameters</u> :
- Total amount earned = $238
- Number of hours worked = 8 hours
Hourly earning = Total earning ÷ number of hours worked
Hourly earning = $238 ÷ 8 = $29.75
B.)
Vacation cost = $1850
Hourly earning = $29.75
<u>Number of work hours required</u> :
- Vacation cost ÷ Hourly earning
Therefore, Ryan will need to work for 63 hours to cover his vacation expenses.
Learn more : brainly.com/question/18796573
RS and TS are congruent as they are the sides opposite the 20 degree angles. That mean TR > TS so "A" is the only answer that is correct.