Answer:
The system of inequalities is as follows:
30x + 20y ≥ 61,000
x ≤ 1500
x + y ≤ 2800
x ≥ 0
y ≥ 0
Step-by-step explanation:
The system of inequalities can be explained as follows:
30x + 20y ≥ 61,000 <= Indicating a take in of at least $61,000 in ticket sales.
x ≤ 1500 <= Indicating that 500 reserved seats are available.
x + y ≤ 2800 <= Indicating limit of the paid ticket holders to 2800.
x ≥ 0 <= Indicating ticket x must be equal or greater than 0.
y ≥ 0 <= Indicating ticket y must be equal or greater than 0.
Answer: No. Manolo forgot to include that the opposite of squaring a number is square rooting. If you take the square root of 36, you get 6. When you square a number, you multiply it by itself, which is what Manolo did. He multiplied 6 by itself and got the answer of 36.
Step-by-step explanation: Hope this helps!
What is the question, are we supposed to find the value of "u"? If so, than u is equal to 6 6/7.
Answer:
The Sample Size Need To be at least 114
Step-by-step explanation:
According to the Question,
- Given, A university dean of students wishes to estimate the average number of hours students spend doing homework per week. The standard deviation from a previous study is 6.2 hours.
The Maximum Error(E) is given as 1.5 hours and the standard deviation(σ) is 6.2 hours.
- Now, For 99% Confident the level of value α is 0.01.
α/2 = 0.01/2 ⇒ 0.005
- Thus, From The table, We get that the value of
is 2.58.
Hence, the sample size n can be found as
n = {
}²
n = {2.58 × 6.2}² / 1.5²
n = 113.72 .
So, The Sample Size Need To be at least 114.
67.38 degrees
To find this, follow the steps below:
cos (B) = 5/13
cos -1 (cos(B)) = cos-1 (5/13)
The cos-1 and cos cancel each other out.
B = cos-1 (5/13)
B = 67.38
Hope this helps!
