A should be the answer I hope it helps
PART A
alligators:
x = total number of alligators
n = number of years
x=20*1.25^n
crocodiles:
y = total number of crocodiles
n = number of years
y=25+10n
PART B
alligators
x=20*1.25^4 = 48.82 round up to 49
crocodiles 25 +10(2) = 25+20 = 45
Part C
7 years
20(1.25^n)=25+10n
1.25^n=1.25+0.5n
n=7
check:
alligators 20+1.25^7 = 95.36
crocodiles = 25+10(7) = 95
Slope is calculated as (y2-y1)/(x2-x1) and here y2 = -3, y1 = 1, x2 = 5, x1 = -1 which gives -2/3
Step-by-step explanation:
I don't really know what demonstrating with rigid motion means, never heard that before. But a method for demonstrating it could be drawing circumferences of radius:
1) R1 = d(O,S)
2) R2 = d(O,J)
3) R3 = d(O,M)
With O being the origin of the reference system.
*Note: d(A,B) means distance between point A and point B
After you've done that you can show that the points S and P are on the same circumference, J and W are on the same circumference (different from the one of S and P), M and D are on the same circumference.
After you've done that you calculate the angle between the points on the same circumference and demonstrating that they are all the same.
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.