Answer:
37.5 Gallons will be used after a 15-minute shower.
50 Gallons will be used after a 20-minute shower.
DM me if you need an explanation.
Rewrite the fraction as division:
Make them into single fraction:
Change the divide fraction into multiplication fraction:
Factorise the difference of square a² - b² = (a + b) (a - b) :
Cancel the common factors:
Answer:
h=V/b
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given:
x1 = -1
x2 = 6
y1 = 2
y2 = 3
Solution:
m = ( y2 - y1 ) / ( x2 - x1 )
m = ( 3 - 2 ) / ( 6 - -1 )
m = 1 / ( 6 + 1 )
m = 1/7
Then,
y - y1 = m ( x - x1 )
y - 2 = 1/7 ( x - -1)
y - 2 = 1/7 ( x + 1 )
y - 2 = 1/7x + 1/7
y = 1/7x + 1/7 + 2
y = 1/7x + 15/7
The probability of finding a substandard weld is: p = 5% =
0.05 <span>
We are given that the sample size: n = 300
Using the Poisson Distribution , the average number of welds (m) is:</span>
m = n*p =
m = 300 * 0.05 <span>
m =15 </span>
<span>
The standard deviation of welds (s) is calculated by:</span>
s = sqrt (m)
s = sqrt (15)
s = 3.873
<span>
<span>Assuming normal distribution, the z value corresponding to 30
sub standards is:
z =( X - Mean) / standard deviation
z =(30 - 15) / 3.873
z = 15 / 3.873
z = 3.87</span></span>
<span>
<span>The z value based on the standard normal curves has a maximum
value of 3.49. Beyond that z value of 3.49 would mean exceeding 100%. Therefore
z = 3.87 is not normal and definitely it is unusual to find 30 or more
substandard.</span></span>
