Answer:
x = 27
Step-by-step explanation:
The angle at any point on a straight line is 180 degrees.
The middle line over there is creating a right angle which is 90 degrees.
This must mean that both sides are 90 degrees.
3x+9 = 90
3x = 81
x = 27
Step-by-step explanation:
For quadratic equation ax^2 + bx + c = 0 to have two distinct real roots,
b^2 - 4ac must be positive.
b^2 - 4ac > 0
(k - 3)^2 - 4(3 - 2k) > 0
k^2 - 6k + 9 - 12 + 8k > 0
k^2 + 2k - 3 > 0
The scale factor of 4 was applied to the first triangle. 6 was divided by 4 to get 1.5
Pq= 10.5, qr=31.5, rs=10.5, sp=31.5
Answer:
The width is 
Step-by-step explanation:
From the question we are told that
The population standard deviation is 
The sample size is 
The sample mean is 
Given that the confidence level is 99% then the level of significance is mathematically represented as

=> 
=> 
Next we obtain the critical value of
from the normal distribution table, the value is

Generally margin of error is mathematically represented as

substituting values



The width of the 99% confidence interval is mathematically evaluated as

substituting values

