Answer:
the required number of telephone orders to complete the 400 interviews is 3433
Step-by-step explanation:
Given the data in the question;
Let us represent the telephone numbers the researcher orders to complete the 400 interviews with Y.
Thus, The working phone numbers = 70% × Y
Now, number of ATM users = 45% × The working ph0ne numbers
⇒ 45% × ( 70% × Y )
number of ATM users = 0.45 × 0.70 × Y = 0.315Y
Thus; Number of people contacted that agrees to complete the survey will be;
⇒ 37% × number of ATM users
⇒ 0.37 × 0.315Y = 0.11655Y
so, since the researcher needs at least 400 interviews
Hence;
0.11655Y ≥ 400
Y ≥ 400 / 0.11655
Y ≥ 3432.0034 ≈ 3433
Therefore, the required number of telephone orders to complete the 400 interviews is 3433
4x^2 - x - 7
x^2 + x + 2|4x^4 + 3x^3 + 0x^2 + 2x + 1
- (4x^4 + 4x^3 + 8x^2)
-x^3 - 8x^2 + 2x
- (-x^3 - x^2 - 2x)
-7x^2 + 0x + 1
- (-7x^2 - 7x - 14)
7x + 15
It is equal to 4x^2 - x - 7 + ((7x + 15)/(x^2 + x + 2)).
Answer:
No.
Step-by-step explanation: negative 0.833 is way closer to 0 than it is to 1. The closer the correlation coefficient is to one, the more likely it is correct
Answer:
angle 4 is 47 degrees....
9514 1404 393
Answer:
583.4 cm³
Step-by-step explanation:
We have the base dimensions, so enough information to find its area:
A = s²
A = (10 cm)² = 100 cm²
__
The height of the triangle is found by solving triangle AMV for the distance MV. That is found from the trig relation ...
Tan = Opposite/Adjacent
tan(68°) = MV/AM
The length of AM is half the diagonal of the square base, so is (10√2)/2 = 5√2. The length of MV is ...
MV = AM·tan(68°) = 5√2·tan(68°) ≈ 17.50
So, the volume of the pyramid is ...
V = (1/3)Bh
V = (1/3)(100 cm²)(17.50 cm) ≈ 583.4 cm³ . . . . volume of the pyramid