Answer:
The answer is a= 128.95 and b = 14.75
Step-by-step explanation:
Solution
Given
let the equation of the hyperbola be denoted as x2/a2 - y2/b2 = 1 here, we will consider the foci on the x-axis. All units are considered to be in mm.
From question stated, with x and y coordinates represents height and radius respectively,
Then,
When x = 83 + a, y is = 45/2 = 22.5 and
At x = 180 + a, y is = 57/2 = 28.5
It is important to know that, the height is estimated from the focus so we a a is included to the heights.
Thus,
(83+a)2/a2 - 22.52/b2 = 1 and (180+a)2/a2 - 28.52/b2 = 1
By using a calculator we have, a = 128.95 and b = 14.75
Therefore a= 128.95 and b = 14.75
Answer:
8
Step-by-step explanation:
Since the forklift has a maximum capacity of three boxes per trip, simply divide the total number of boxes (23 boxes) by three and round up to the nearest whole unit to find the number of trips required:
Casey had to visit the dock 8 times. He moved three boxes in seven trips and two boxes in one trip.
Answer:
0.96%
Step-by-step explanation:
look on google and search dollar times it helps with problems like this
hope this helps
Answer:
The following histogram shows the relative frequencies of the height recorded to the nearest inch of population of women the mean of the population is 64.97 inches and the standard deviation is 2.66 inches
(a) Based on the histogram, what is the probability that the selected woman will have a height of at least 67 inches? Show your work
Answer:
0.22268
Step-by-step explanation:
z-score is z = (x-μ)/σ,
where x is the raw score
μ is the population mean
σ is the population standard deviation.
(a) Based on the histogram, what is the probability that the selected woman will have a height of at least 67 inches? Show your work
At least means equal to or greater than 67 inches
z = 67 - 64.97/2.66
z = 0.76316
P-value from Z-Table:
P(x<67) = 0.77732
P(x>67) = 1 - P(x<67) = 0.22268
The probability that the selected woman will have a height of at least 67 inches is 0.22268
Step-by-step explanation:
