Answer:
700.4 cm
Step-by-step explanation:
This involves two similar triangles.
Both triangles are right triangles.
One has legs measuring 1 cm and 30 cm. We can find the hypotenuse by using the Pythagorean theorem.
(1 cm)^2 + (30 cm)^2 = c^2
c^2 = 901 cm^2
c = sqrt(901) cm
The second triangle has one leg with length 700 cm. This leg corresponds to the 30-cm leg in the other triangle. Since the triangles are similar, we can use a proportion to find the hypotenuse of the second triangle.
(30 cm)/(700 cm) = [sqrt(901) cm]/x
3/70 = sqrt(901) cm/x
3x = 70 * sqrt(901) cm
x = 70 * sqrt(901) cm/3
x = 700.4 cm
Answer: 700.4 cm
Answer:
The probability that the instrument does not fail in an 8-hour shift is 
The probability of at least 1 failure in a 24-hour day is 
Step-by-step explanation:
The probability distribution of a Poisson random variable X representing the number of successes occurring in a given time interval or a specified region of space is given by the formula:
Let X be the number of failures of a testing instrument.
We know that the mean 
failures per hour.
(a) To find the probability that the instrument does not fail in an 8-hour shift, you need to:
For an 8-hour shift, the mean is 
(b) To find the probability of at least 1 failure in a 24-hour day, you need to:
For a 24-hour day, the mean is 
Answer:
Most likely D.
Step-by-step explanation:
Makes the most sense.
Answer:
y = 3x -2
Step-by-step explanation:
If the line is parallel, that means it has the same slope. The given equation had a slope of 3, so the new line must also have a slope of 3.
You can plug the given coordinates into the slope-intercept form with a slope of 3 to find your answer.
y = m*x + b
7 = 3*3 + b
7 = 9 + b
-2 = b
y = 3x -2
I Hope This Helps :D
