Answer:
The probability of the stick's weight being 2.33 oz or greater is 0.41%.
Step-by-step explanation:
Test statistic (z) = (weight - mean)/sd
weight of stick = 2.33 oz
mean = 1.75 oz
sd = 0.22 oz
z = (2.33 - 1.75)/0.22 = 2.64
The cumulative area of the test statistic is the probability that the weight is 2.33 oz or less. The cumulative area is 0.9959.
The probability the weight is 2.33 or greater = 1 - 0.9959 = 0.0041 = 0.41%
(s÷t) - r is the correct expression.
Answer:
x = -3, 6
Step-by-step explanation:
First, add 18 to both sides
x² - 3x - 18 = 0
+ 18 + 18
x² - 3x = 18
Add 9/4 to both sides because that is the square of half of -3
x² - 3x + 9/4 = 18 + 9/4
Multiply both sides by 4 to get rid of the fractions
(x² - 3x + 9/4 = 18 + 9/4)4
4x² - 12x + 9 = 72 + 9 = 81
Factor the left side of the equation
(2x - 3)² = 81
√(2x - 3)² = √81
Because of the square root, this will result in a positive number and a negative number
2x - 3 = 9
2x - 3 = -9
For both equations, add 3 to both sides then divide by 2
2x - 3 = 9
+ 3 +3
2x = 12
2x/2 = 12/2
x = 6
2x - 3 = -9
+ 3 + 3
2x = -6
x = -3
The answer is 30°.
Rule: All three sides must add up to 180°.
Since A=60 and the side vertical to the angle which is 90° then side C would be C=90° and that adds up to 150°, so you can conclude that angle B is 30°.
I hope I helped!
Answer:
5 hours
Step-by-step explanation:
Given
--- Revenue
--- Overhead cost
Required
Determine the hours for break even
To do this, we simply equate both expressions as follows:
Collect Like Terms
Divide through 24
Expand:
Factorize:
But x can't be negative because it represents time.
<em>So, x = 5 hours</em>
