Answer:
A company produces electric insulators. The strength of the insulators is important since a broken insulator may cause a short circuit. Unfortunately, the strength varies significantly due to the material. Because of the expense, only a limited number of insulators could be tested. The engineers sampled 25 insulators (From a production run of 200), and conducted a destructive test to determine the force that was required to break the insulators. The mean value of this force was 1723 lbf with a sample standard deviation of 90 lbf. You may approximate the population standard deviation with the sample standard deviation for the following questions. a. Determine if the population is large enough or if a finite population correction (FPC) factor is needed. If so, what is the FPC factor? b. For 95% confidence, determine the margin of error (+ lbf) c. For these conditions, estimate the range of the probable population mean. Provide lower and upper values. For 95% confidence, determine the margin of error ( Assume the same mean and sample standard deviation. What is one advantage and one disadvantage of using 50 insulators instead of 25 insulators? d. lbf) if 50 insulators were tested.
Step-by-step explanation:
Answer:
equation of the line is y=x+1
Step-by-step explanation:
the equation of a line has the form y = mx + b
while m is for the slope and b is for the y-intercept.
you can see from the graph that the line intercepts the y-axis at y=1 this is the b.
you can get the slope of the graph by taking two points from the graph lets say (1, 2) and (3, 4) then using this formula:
<h2>
</h2>
in our case it will be:
then just substitute the values for m and b.
The quadratic equation is given by:
y = 3x² + 10x - 8
The standard equation of a parabola is given by:
y = ax² + bx + c
Where a, b, c are constants
At point (4, 80):
80 = a(4)² + b(4) + c
16a + 4b + c = 80 (1)
At point (-3, -11):
-11 = a(-3)² + b(-3) + c
9a - 3b + c = -11 (2)
At point (-1, -15):
-15 = a(-1)² + b(-1) + c
a - b + c = -15 (3)
Solving equations 1, 2 and 3 simultaneously gives:
a = 3, b = 10, c = -8
Therefore the quadratic equation becomes:
y = 3x² + 10x - 8
Find out more on quadratic equation at: brainly.com/question/1214333
2x + y = 10
2x + 3y = 22
Please consider marking this answer as Brainliest to help me advance, and let me know if you need any clarifications.
Answer:
0=0
Step-by-step explanation:
distribute
combine like terms
subtract from both sides of the equation
simplify
subtract from both sides of the equation
simplify
get answer 0=0
