Add 5/9 to both sides. common denominator would be 72 so you would multiply the top and bottom of 3/8 by 9 (bc 9x8 is 72) to get 27/72. you would multiply top and bottom of 5/9 by 8 to get 40/72 and you would add 40+27 which equals 67 so x=67/72 i believe
Answer: 60%
Step-by-step explanation:
Since, According to the question, Last quarter, we successfully completed an average of about 5 chemical analyses per day.
Therefore initially our average = 5 chemical analyses per day.
Again, From the question, This quarter, we have increased this average to about 8 per day.
Therefore New average =chemical analyses 8 per day
Thus, Percentage change in the average = (Initial average - New average)×100/ initial average
= 
= 
= 60 %
Therefore, Percentage change in the average=60 %
Answer: -(x+8)(x-8)
Step-by-step explanation:
-(x^2-64)
x^2-8^2x^2
x^2-8^2=(x+8)(x-8)
-(x+8)(x-8)
Answer:
a) The interval for those who want to go out earlier is between 43.008 and 46.592
b) The interval for those who want to go out later is between 47.9232 and 51.9168
Step-by-step explanation:
Given that:
Sample size (n) =128,
Margin of error (e) = ±4% =
a) The probability of those who wanted to get out earlier (p) = 35% = 0.35
The mean of the distribution (μ) = np = 128 * 0.35 = 44.8
The margin of error = ± 4% of 448 = 0.04 × 44.8 = ± 1.792
The interval = μ ± e = 44.8 ± 1.792 = (43.008, 46.592)
b) The probability of those who wanted to start school get out later (p) = 39% = 0.39
The mean of the distribution (μ) = np = 128 * 0.39 = 49.92
The margin of error = ± 4% of 448 = 0.04 × 49.92 = ± 1.9968
The interval = μ ± e = 44.8 ± 1.792 = (47.9232, 51.9168)
The way for those who want to go out earlier to win if the vote is counted is if those who do not have any opinion vote that they want to go earlier
Answer:
62 degrees
Step-by-step explanation:
First, it is important to note that all three angles in a triangle add up to be 180 degrees, and if you draw a straight line extending off the side of a triangle, the outside angle and the inside angle are supplementary (they add to be 180 degrees). So,(3x+3)+(2x+4)-180=measure angle F, and 180-(7x-5)=measure angle F according to the rules respectively. Since both of these equations are equal (they both equal the measure of angle F) we can set them equal to each other to find the value of x=> 180-(7x-5)=(3x+3)+(2x+4)-180=> 180-7x-5=3x+3+2x+4-180. Now combine like terms=>175-7x=5x-173. Now, add 7x to both sides and add 173 to both sides to get the variables on one side of the equation=> 175+173-7x+7x=5x+7x-173+173 (the 7x and -7x on the left side and the 173 and -173 on the right side cancel out) =>348=12x. Divide both sides by twelve to find x=> 29=x. Now, plug 29 into what is given for angle FDE=> 2(29)+4=
58+4=
62 degrees
