If you would like to order the following values in descending order, you can do this using the following steps:
- 3/4 = - 0.75
1/8 = 0.125
- 0.735
7/8 = 0.875
1/80 = 0.0125
0.056
The result is: 7/8, 1/8, 0.056, 1/80, - 0.735, -0.75.
ANSWER:
The average burnout time of a large number of bulbs has a sampling distribution that is close to Normal.
STEP-BY-STEP EXPLANATION:
The cental limit theorem states, that id the sample size is large (30 or more), then the sampling distribution of the sample means is approximately normal with mean ц and standar deviation б/
Thus the correct answer is the average burnout time of a large number of bulbs has a sampling distribution that is close to Normal.
Answer:
Part A) 
Part B) 
Part C) 
Step-by-step explanation:
Part A) we know that
In the right triangle ABC of the figure the sine of angle A is equal to divide the opposite side angle A by the hypotenuse
so

substitute the values

Part B) we know that
In the right triangle ABC of the figure the cosine of angle A is equal to divide the adjacent side angle A by the hypotenuse
so

substitute the values

Part C) we know that
In the right triangle ABC of the figure the tangent of angle A is equal to divide the opposite side angle A by the adjacent side angle A
so

substitute the values

We write an inequality:



This equation cannot be solved using trivial methods found in high-school classes, so we resort to graphical examination.

is a linear function while

is an exponential one (with limit zero as

approaches

). We see that

at approximately

and

.
Indeed, using a computer algebra system such as the ones on modern TI calculators and on many internet sites gives equality at

. By observing our graph, we see that

when

or

.
Step-by-step explanation:
the general slope intercept form is
y = ax + b
a is the slope, b is the y-intercept (when x=0).
the slope is the ratio y/x indicating how much y changes, when x changes for a certain amount of units when going from one point to another.
going from (7, 2) to (2, 12) :
x changes by -5 (from 7 to 2), y changes by +10 (from 2 to 12).
so, the slope is 10/-5 = -2
therefore, we have already
y = -2x + b
we get b by using the coordinates of one of the points as x and y. e.g. (7, 2)
2 = -2×7 + b = -14 + b
16 = b
so, the full line equation is
y = -2x + 16