Answer:
55°
Step-by-step explanation:
125°+ <6 = 180° ( sum of co-interior angles)
<6= 180°-125°
<6= 55°
The markup percentage is .40778 -> 40.778%
$4015 = current price ; $2852 = original price
To find the mark up percentage:
First, find the difference between the current price and original price.
$4015 - $2852 = $1163
Second, divide the price difference by the current price to get the percentage.
1163/2852 = .40778
Check the math by multiplying the original price by the markup percentage and add the original price to it.
$2852 X .40778 + $2852 = $4015
ANSWER IS 5
so
how many years ago=x
so
'in how many years ago (-x) was ethan 5 times older than son
40-x means ethan's age x years ago
12-x means son's age x years ago
so
ethan's age x years ago is 5 times as much as son's age 5 years ago
40-x=5(12-x)
distribute using a(b+c)=ab+ac
40-x=60-5x
add 5x
40+4x=60
subtract 40
4x=20
divide 4
x=5
ANSWER IS 5 years
Answer: B. This student's test grade was 2.4 standard deviations above the mean test grade.
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Explanation:
The z score tells us how far away the raw score is from the mean. This distance is in terms of standard deviations.
- z = 1 means we're 1 standard deviation above the mean
- z = 2 means we're 2 standard deviations above the mean
and so on.
Negative z scores indicate the raw score is below the mean.
- z = -1 means we're 1 standard deviation below the mean
- z = -2 means we're 2 standard deviations below the mean
and so on. So that's why z = 2.4 indicates the students test grade was 2.4 standard deviations above the mean.
Once reflected over the x-axis y=5x-6