Joni earns $300 per week. If she gets a 25% raise, how much more money will she earn each week?
2 answers:
Answer:
$75
Step-by-step explanation:
Joni currently earns $300 per week (given)
To find how much more she will earn each week, write an expression adding the original pay and the raise amount.
$300 + 25%
Find 25 as a decimal for multiplication
25% = 25/100 = 0.25
Write an expression to represent the scenario
Expression example 1:
$300 + 0.25(300)
This expression adds the original pay and the new raise together.
Expression example 2:
$300 (1.25)
This expression already takes the new pay into account by finding 125% of the original pay.
Simplify both expressions
Expression 1:
$300 + 0.25(300)
$300 + $75
$375
Expression 2:
$300 (1.25)
$375
Both expressions represent the same scenario and therefore come out to the same result. Now that we know how much Joni made after the raise, we need to find how much more money she will earn in a week with the following equation.
New amount - original amount = amount increase
Substitute known values into the equation
$375 - $300
Simplify
$75
Joni will earn $75 more each week.
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Answer:
A score of 2.6 on a test with = 5.0 and s = 1.6 and A score of 48 on a test with
= 57 and s = 6 indicate the highest relative position.
Step-by-step explanation:
We are given the following:
I. A score of 2.6 on a test with = 5.0 and s = 1.6
II. A score of 650 on a test with = 800 and s = 200
III. A score of 48 on a test with = 57 and s = 6
And we have to find that which score indicates the highest relative position.
For finding in which score indicates the highest relative position, we will find the z score for each of the score on a test because the higher the z score, it indicates the highest relative position.
<u>The z-score probability distribution is given by;</u>
Z = ~ N(0,1)
where, = mean score
s = standard deviation
X = each score on a test
- <u>The z-score of First condition is calculated as;</u>
Since we are given that a score of 2.6 on a test with = 5.0 and s = 1.6,
So, z-score = = -1.5 {where
and s = 1.6 }
- <u>The z-score of Second condition is calculated as;</u>
Since we are given that a score of 650 on a test with = 800 and s = 200,
So, z-score = = -0.75 {where
and s = 200 }
- <u>The z-score of Third condition is calculated as;</u>
Since we are given that a score of 48 on a test with = 57 and s = 6,
So, z-score = = -1.5 {where
and s = 6 }
AS we can clearly see that the z score of First and third condition are equally likely higher as compared to Second condition so it can be stated that <u>A score of 2.6 on a test with </u><u> = 5.0 and s = 1.6</u> and <u>A score of 48 on a test with </u>
<u> = 57 and s = 6 </u> indicate the highest relative position.