Answer:
1.89 is the standard deviation of households who own a riding mower
Step-by-step explanation:
Let the random variable X denote the number of households owning a riding lawn mower. From the given information, X will be a Binomial random variable with parameters; n = 17 and p = 30% = 0.3
The standard deviation of X;
Answer:
67.5 units²
Step-by-step explanation:
We can break this problem down in two parts: The upper triangle and the lower trapezoid.
The upper triangle:
Use the formula 
to compute the area of the triangle. Base = 10 and Height = 7.
1/2 (10)(7)
1/2 (70)
=35 units².
The lower trapezoid:
Use the formula 
to compute the area of the trapezoid. Base 1 = 10, Base 2 = 3 and Height = 5.
1/2 (10 + 3)(5)
1/2 (13)(5)
1/2 (65)
=32.5 units²
So, add the two areas of each shape:
35 + 32.5 = 67.5 units².
Answer:
x=21.8
Step-by-step explanation:
The angles are complementary, and add to 90 degrees. We know this because of the little square in the corner.
x+68.2=90
Solve for x by isolating it. To do this , subtract 68.2 from both sides
x+68.2-68.2=90-68.2
x=21.8
Your total without tax is $73.98
7%=0.07
0.07×73.98=5.1786≈5.18
The sales tax is approximately $5.18
Choosing the first tile:
At first, there are 7 tiles.
You are interested in choosing a 5. There is only one tile with a 5.
p(5) = 1/7
Choosing the second tile:
After the 5 has been taken, now there are 6 tiles left.
Only one tile has the number 6.
p(6) = 1/6
The overall probability of choosing a 6 after a 5 is the product of the individual probabilities:
p( 5 then 6) = 1/7 * 1/6 = 1/42
Answer: The probability of choosing a 5 and then a 6 is 1/42.
