Answer:
a. After the first bounce, the ball will be at 85% of 8 ft. After 2 bounces, it'll be at 85% of 85% of 8 feet. After 3 bounces, it'll be at (85% of) (85% of) (85% of 8 feet). You can see where this is going. After n bounces the ball will be at
b. After 8 bounces we can apply the previous formula with n = 8 to get
c. The solution to this point requires using exponential and logarithm equations; a more basic way would be trial and error using the previous 
increasing the value of n until we find a good value. I recommend using a spreadsheet for that; the condition will lead to the following inequality:
Let's first isolate the fraction by dividing by 72.
Now, to get numbers we can plug in a calculator, let's take the natural logarithm of both sides:
. Now the two quantities are known - or easy to get with any calculator, replacing them and solving for n we get:
Now, since n is an integer - you can't have a fraction of a bounce after all, you pick the integer right after that, or n>27.
A
given the 2 equations
2x + y = - 2 → (1)
x + y = 5 → (2)
subtract (2) from (1) term by term to eliminate y
(2x - x ) + (y - y ) = (- 2 - 5 )
x + 0 = - 7 ⇒ x = - 7
substitute x = - 7 in either of the 2 equations and solve for y
(2) : - 7 + y = 5 ( add 7 to both sides )
y = 5 + 7 = 12 → A
Hey there!
36y - 12
FIRST LOOK AT THE GCF (Greatest Common Factor)
36y: 1, 2, 3, 4, 6, 9, 12, 18, 36, and y
12: 1, 2, 3, 4, 6, and 12
GCF: 12
So, 12 would most likely be number before you make your parentheses
12(?y - 1)
The numbers in your original equation both share 3 & -1
So, therefore the factor form of your equation should be: 12(3y - 1)
Answer: 12(3y - 1)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
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Step-by-step explanation:
Point slope form: (y−y1) = m (x−x1), where (x1,y1) is the point, and m is the slope.
(y- (-4)) = (5/6)*(x - 8)
(y + 4) = (5/6)*(x - 8)
If you want in standard form
(y + 4) = (5/6)*x - (5/6)*8
y = (5/6) x - (5/6)*8 - 4
y = (5/6)x - (16/6)
Answer:
(y + 4) = (5/6)*(x - 8)
Answer:
The confidence interval for the proportion of production lines that caused defects is (0.07, 0.09).
Step-by-step explanation:
A confidence interval for a population proportion is a function of the sample proportion and the margin of error.
The interval has two bounds, a lower bound and an upper bound.
The lower bound is the sample proportion subtracted by the margin of error.
The upper bound is the margin of error added to the sample proportion.
In this problem, we have that:
Sample proportion 0.08
Margin of error 0.01
0.08 - 0.01 = 0.07
0.08 + 0.01 = 0.09
The confidence interval for the proportion of production lines that caused defects is (0.07, 0.09).
