Please, in the future, post just one problem at a time.
Looking at Problem #1: The line intersects the y-axis at (0,-3) and intersects the x-axis at (1,-1). At least, this is what I see; your graph is small.
-3-[-1]
The slope of that line is then m = rise / run = ------------ = +2.
0 - 1
[change in y]
Slope = m = rise / run = --------------------
[change in x]
700 - 100 =600 she spent $600 worth of monthly payments. if there is 12 months in a year then 600 ÷ 12 = 50 so she spent $50 a month.
Answer:
Salaried pay is preferable for a new employee
Step-by-step explanation:
<u>As per table, hours worked per week:</u>
- 0+ 8.5+ 9.5+ 7.5+ 8+ 8.5+ 4 = 46
<u>Employee gets paid for 46 hours per week:</u>
- $40*14 + (46- 40)*$21 = $686
<u>Average yearly salary would be:</u>
<u>Comparing with annual salary, we see:</u>
As we see, hourly employees get paid less, so the new employee should choose annual salary option
Answer: Because Point A is negative and the same distance below 0 on the number line as Point B is above it, Point B is both positive and the opposite of Point A.
Answer:
A score of 150.25 is necessary to reach the 75th percentile.
Step-by-step explanation:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
A set of test scores is normally distributed with a mean of 130 and a standard deviation of 30.
This means that 
What score is necessary to reach the 75th percentile?
This is X when Z has a pvalue of 0.75, so X when Z = 0.675.
A score of 150.25 is necessary to reach the 75th percentile.
