Answer:
A. Yes, the two corresponding confidence intervals overlap.
Step-by-step explanation:
The correct option is - A. Yes, the two corresponding confidence intervals overlap.
Reason -
P(1) = 45% = 0.45
E(1) = 4.6% = 0.046
Confidence Interval = P(1) ± E(1)
= 0.45 ± 0.046
So, the interval is -
0.45 + 0.046 ≤ P ≤ 0.45 - 0.046
⇒0.496 ≤ P ≤ 0.404 .............(1)
Now,
P(2) = 42% = 0.42
E(2) = 3.6 % = 0.036
Confidence Interval = P(2) ± E(2)
= 0.42 ± 0.036
So, the interval is -
0.42 + 0.036 ≤ P ≤ 0.42 - 0.036
⇒0.456 ≤ P ≤ 0.384 ...............(2)
From equation (1) and (2), we get
The two corresponding confidence intervals overlap.
Answer:
z=−1 or z=−3
Step-by-step explanation:
Subtract 3z + 5 from both sides
z2+7z+8−(3z+5)=3z+5−(3z+5)
z2+4z+3=0
Factor left side of equation
(z+1)(z+3)=0
Set factors equal to 0
z+1=0 or z+3=0
z=−1 or z=−3
Answer:

Step-by-step explanation:
Given
The attached graph
Required
Determine the graph equation
To do this, we pick any 3 corresponding points of x and y



The equation can then be solved using linear interpolation as follows:

This gives:




Multiply both sides by x + 4


Open bracket

Add 12 to both sides


Answer:
The Prime Factorization is:
2 x 2 x 2 x 2 x 2 x 2 x 5
Step-by-step explanation:
Prime Factors Tree
320
/ \
2 160
/ \
2 80
/ \
2 40
/ \
2 20
/ \
2 10
/ \
2 5