Answer:
x= 6 and b= 126°
Step-by-step explanation:
okay the first step to solving this is understanding what are the properties of ∠A and ∠B.
so the angles are equal to each other because they are alternate interior angles.
if that is settled it means the equation for both angles would be equal to each other as well.
∠A= 8x + 78° ∠B= 2x + 114°
therefore: 8x + 78= 2x + 114
then solve for x:
- isolate x and the answer is equal to 6 at the end
now you are looking for angle b, so you input x which is 6 into the equation;
= 2(6) + 114°
=12 + 114°
=126°
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:
A. (4.78, 6.90)
Step-by-step explanation:
Using the following formulas the lower and upper limits of the Interval are calculated
Lower limit = mean - (standard deviation /√sample size)* Zr
Upper limit = mean + (standard deviation /√sample size)* Zr
Zr depends on confidence interval and can be found in a z table
Zr for 90% = 1.645
then
Lower limit = 5.84 - (4.98 /√60)* 1.645 = 4.78
Upper limit = 5.84 + (4.98 /√60)* 1.645 = 6.90
Answer:
Next coat sold as medium: 68/190 (35.79%) Rounded to the nearest hundredth) or reduced fraction form of 34/95.
Step-by-step explanation:
Red Medium: 21/58 ( 36.21%)
Navy Medium: 22/66 (33.33%
Tan Medium: 25/66 (37.88%)
Since it's asking for the probability that the next coat is a medium, no matter the color, we add in all numbers and divide it by the added medium from all three colors.
Next coat sold as medium: 68/190 (35.79%) Rounded to the nearest hundredth) or reduced fraction form of 34/95.
42 times 2 because 84 divided by 24 equals 2. Also, 84 divided by 2 equals 24.
