Answer:
2 
Step-by-step explanation:
for question a)
It would be easier if you converted these to improper fractions (currently it is in the form of a proper fraction)
to convert to improper fraction, you would multiply the denominator (bottom no. of fraction) by the whole number , then add that with the numerator (top no. of fraction) and put the whole thing over the denominator.
E.g.
7 
= 7x4 + 1 = 29
Thus, improper fraction would be 
do same thing for other one
thus , 
now,
-
however, you can't do this as the denominators are not the same, so multiply them by a number which would give the a common denominator (20 would be the best option for common denominator)
= 
convert back to mixed number
2
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:
The first thing I should do with these two points is find the slope of the line.
m = (y2 - y1)/(x2 - x1)
m = (-1 - 7)/(-9 - -9)
m = -8/0
The slope is undefined. We cannot divide by 0. This makes sense because the points (-9, 7) and (-9, -1) would be right on top of each other. This is a vertical line that has an x-intercept at -9.
Your equation would be x = -9.
Answer:
8
Step-by-step explanation:
24 = 2* 2 * 2 * 3
40 = 2 * 2 * 2 * 5
GCF = 2*2*2 = 8
Answer:
See below.
Step-by-step explanation:
Shape A is congruent to shape <u>___F___</u>, as shown by a reflection across the y-axis and then a translation down <u>__3___</u> units. B is congruent to shape <u>__D__</u>, as shown by a reflection across the y-axis and then a translation down <u>__2___</u> units
