Answer:
1/128 * (3 - 4cos2x + cos4x)
Step-by-step explanation:
See attachment for steps
Answer:
153.9 ft²
Step-by-step explanation:
Given that:
Radius of circular lawn = 7 feets
To obtain the maximum number of square feet of lawn Nichole can expect the sprinkler to cover ; find the area of the lawn
Area of a circle, A = πr²
A = π * 7 * 7
A = 153.93804
A = 153.9 ft²
Answer: 20 miles
Step-by-step explanation:
From the question, we are informed that Avis truck company charges $20 plus $2 per mile and that Budget truck company charges $3 per mile.
Let the number of miles that the charge will be the same for both companies be represented by x. This can then be used to form an equation as:
20 + 2x = (3 × x)
20 + 2x = 3x
3x - 2x = 20
x = 20
The charge will be thesame at 20 miles
The given data is
Scores: 90-99 80-89 70-79 60-69 50-59
Students: 3 7 12 4 4
Because we are to take the middle value for each group.
Therefore the total score is
Sx = 3*94.5 + 7*84.5 + 12*74.5 + 4*64.5 + 4*54.5 = 2245
The number of students is 3+7+12+4+4 = 30
The mean is
m =2245/30 = 74.833
Calculate (Sx - m)²
(Sx - m)² = 3*(94.5-74.833)² + 7*(84.5-74.833)² + 12*(64.5-74.833)²
+ 4*(64.5-74.833)² + 4*(54.5-74.833)² = 3896.7
Calculate the standard deviation
s = √(3896.7/29) = 11.592
Answer:
mean = 74.83
std. deviation = 11.59
Answer:
no solution
Step-by-step explanation:
if you subtract the equations then you get 0 = 8 and this can never be true; therefore there are no solution
