Solution :
Given :
Span of the roof = 48 feet
Length of the rafter = 30 feet (including the 4 feet overhung)
So, for the 30 feet long rafter, 26 feet will be rafter length from the high point of the roof to the edge of the roof and 4 feet will be the roof overhung.
Therefore, the horizontal span per rafter is
= 24 feet
a). So the rise of the roof is 
= 10 feet
b). Pinch of the roof is 
c). The percent of the roof used as overhung is
= 13.33 %
Answer:
$20.64
Step-by-step explanation:
if you cut 61.92 in to thirds
61.92/ 3= 20.64
so if Sarah's friends payed 2/3 of the bill Sarah herself payed 1/3 which is $20.64
Answer:
The Zscore for both test is the same
Step-by-step explanation:
Given that :
TEST 1:
score (x) = 75
Mean (m) = 65
Standard deviation (s) = 8
TEST 2:
score (x) = 75
Mean (m) = 70
Standard deviation (s) = 4
USING the relation to obtain the standardized score :
Zscore = (x - m) / s
TEST 1:
Zscore = (75 - 65) / 8
Zscore = 10/8
Zscore = 1.25
TEST 2:
Zscore = (75 - 70) / 4
Zscore = 5/4
Zscore = 1.25
The standardized score for both test is the same.
Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
x + y = 1 → (1)
ax - by = c → (2)
In (1) subtract y from both sides
x = 1 - y → (3)
Substitute x = 1 - y into (2)
a(1 - y) - by = c ← distribute left side
a - ay - by = c ( subtract a from both sides )
- ay - by = c - a ( multiply through by - 1 )
ay + by = a - c ← factor out y from each term on the left side
y(a + b) = a - c ← divide both sides by (a + b)
y = 
← substitute into (3)
x = 1 - = 
- = 
= 
Answer:
The median is usually preferred in these situations because the value of the mean can be distorted by the outliers. However, it will depend on how influential the outliers are. If they do not significantly distort the mean, using the mean as the measure of central tendency will usually be preferred.
