Good evening
Answer:
<h2>measure of Angle 1 = 81°</h2><h2>Measure of angle 2 = 9°</h2>
Step-by-step explanation:
we need to solve this system
x + y = 90 (1)
x = y + 72 (2)
If we substitute x by y+72 into the equation (1) we will get
(y+72) + y = 90 ⇔ 2y + 72 = 90 ⇔ 2y = 90 - 72 = 18 ⇔ y = 9
then x = 90 - 9 = 81
:)
Answer:
29.3
Step-by-step explanation:
to find average you find the sum of all the minutes she practiced and divide it by the total amount of day she practiced.
first we have to find the sum of the minutes she practiced:
20+30+40+38+25+22+39+22+26+31
this equation is equal to 293 minutes she practiced in total. Now we have to divide this by the total amount of days she practiced whice according to the data is 10! So:
293/10 =29.3
Answer:
B
Step-by-step explanation:
minus 3 twice
-3 times 2
I'm not sure if that's what you mean, but I assume you might want to know how long did it take to make one lap if someone did 21 laps in 7 minutes.
If so, just divide 7 by 21:
7 ÷ 21 = 0.3333333... (repeating decimal) or 1/3 as a fraction.
It means that one lap took 1/3 of a minute (20 seconds).
If that's not what you meant, please specify the question :)
Answer:
Step-by-step explanation:
a)
- p = Total Number of Defects / Sample Size x Number of Samples
- z = Number of standard deviation = 3
- σ = Standard deviation of sampling distribution
- σ = p (1- p) / n = 0.0336 (1- 0.0336) / 300 = 0.0336 x 0.9664 / 300 = 0.0104
- Here, n = number of observations in each sample
- UCL = p+zσ = 0.0336 + 3(0.0104) = 0.0336 + 0.0312 = 0.0648 = 0.065
- LCL = p-zσ = 0.0336 - 0.0312 = 0.0024 = 0.002
b) Hence, Lower control limit cannot be a negative number as percent defective cannot be a negative number. As such, No. Percent of defective records cannot be a negative number.
