Answer:
B
Step-by-step explanation:
Answer:
The scale factor is 3.
Step-by-step explanation:
Let the origin O(0,0) is the reference point and the coordinates of the point A are given by (3,-6).
Therefore, the distance OA is given by
units.
Again, the coordinates of point A' are (1,-2).
Therefore, the distance OA' is given by
units.
Hence, the scale factor is
. (Answer)
Answer:
(2/3)³
2³/3³
2³ × 3^(-3)
Step-by-step explanation:
Answer:
x = √(3^125/ 5)
approx 2.9552445 * 10^29.
Step-by-step explanation:
2 log3 x + log3 5 =125
log3 x^2 + log3 5 = 125
log3 (5x^2) = 125
3^125 = 5x^2
x^2 = 3^125/ 5
x = √(3^125/ 5)
This is a huge number
An approximation of it is 2.9552445 * 10^29.
Answer:

Step-by-step explanation:
Since the sample size is quite large, we can use the z-distribution.
The margin of error is given by

Where n is the sample size, s is the sample standard deviation and
is the z-score corresponding to a 90% confidence level.
The z-score corresponding to a 90% confidence level is
Significance level = α = 1 - 0.90= 0.10/2 = 0.05
From the z-table at α = 0.05
z-score = 1.645

Therefore, the margin of error is 0.776.