Answer:
<em>97.5 sq. ft.</em>
Step-by-step explanation:
Im presuming the question asks to find area of the shaded region.
First of all, the total figure is a rectangle. We can write an expression(in words) for the shaded area.
<em>Shaded Area = Area of Rectangle - Area of Small Triangle(White) - Area of Large Triangle(White)</em>
Now, we find respective areas.
Area of rectangle:
length * width = (5+10) * (12) = 15 * 12 = 180
Area of Small Triangle (white):
A = (1/2) * base * height = (1/2) * 5 * (12-3) = (1/2) * 5 * 9 = 22.5
Area of Large Triangle (white):
A = (1/2) * base * height = (1/2) * 10 * (12) = 60
Now, we find area of shaded region:
<em>Shaded Area = Area of Rectangle - Area of Small Triangle(White) - Area of Large Triangle(White)</em>
<em>Shaded Area = 180 - 22.5 - 60 = 97.5 sq. ft.</em>
I believe B . Because it seems equivalent
Answer:
F statistic = 11.3 ;
-1.02
Step-by-step explanation:
____Location1(%C) ____ Location2(%C)
1 ______ 10.40 _________ 10.10
2 _____ 10.20 _________ 10.90
3 ______10.30 _________ 10.20
4 ______10.40 _________ 10.70
5 ______10.20 _________ 10.40
F = larger sample variance / smaller sample variance
Using calculator :
Sample standard deviation (s)
s1² = 0.01
s2² = 0.113
F = s2² / s1²
F = 0.113 / 0.01
F = 11.3
Yes, the two standard deviations for the locations are significantly different at the 95% confidence level.
B.)
Tvalue
x1 = 10.3 ; x2 = 10.46
μ1 = 10.30 ; μ2 = 10.46
(10.30 - 10.46) / sqrt[(0.01/5) + (0.113/5)]
-0.16 / 0.1568438
-1.02
Answer:
(a)
(b)$2
Step-by-step explanation:
In the given game of rolling a die. these are the possible winnings.
- If the number showing is even(2, 4, or 6) or 1, you win $3.
- If the number showing is either 3 or 5 you win $0.
There are 6 sides in the die.
(i)The probability distribution of x.
Let x be the amount won
Therefore:
Probability distribution of x.
(ii) Expected amount of dollar won
Expected Amount
You would expect to win $2.
Step-by-step explanation:
since all sides of a cube have the same length (same principle as e.g. for a square), this means also the length and width are 10 in long.
the volume is therefore
10 × 10 × 10 = 1000 in³
