Answer:
The probability is 
Step-by-step explanation:
From the question we are told that
The mean is 
The standard deviation is 
The sample size is n = 25
The combined resistance is 
Generally the sample mean is mathematically represented as
=> 
=> 
Generally the standard error of the mean is mathematically represented as
=> 
=> 
Generally the probability that a random sample of 25 of these resistors will have a combined resistance of less than 1010 ohms is mathematically represented as
From the z table the area under the normal curve to the left corresponding to 1 is
Answer:
1) 6x+3y=5
Step-by-step explanation:
1) First, find the slope of the line passing through (-4, -1) and (-1, -7). Use the slope formula 
. Substitute the x and y values of the two points into the formula and solve:
So, the slope is -2.
2) Now, identify the slopes of the lines in the options. We already know the slope of 
is 
since it is in slope-intercept form. y = -2 must have a slope of 0 since it's horizontal, and all equations with the format of y = a number are horizontal.
To find the slope of 
, isolate y to put the equations into slope-intercept form (
format), and whatever the coefficient of the x-term is will be the slope.
.
So, the slope of the first option is -2. It matches the slope we calculated in the first step, so that must be the answer.
Y = -1/3x + b
then plug it in
-4 = (-1/3 x 6) + b. (6 times -1 divided by 3)
-4 = -2 + b. (move -2 to other side)
b = -2. (now put em all together)
y = -1/3x -2
Answer:
The list already says the diameter. Here's the answers for the other stuff though:
A≈201.06
A≈4417.86
