Answer:
-1215.
Step-by-step explanation:
For a geometric sequence:
nth term = a1 r^(n-1)
The first term a1 = 5 and the common ratio r = -15/5 = -3.
So 6th term = 5 * (-3)^(6-1)
= 5 * (-3)^5
= -1215.
To answer this question you must know that there is a theorem called the "Two secants angle theorem", which establishes that the measure of an angle formed when two secants intersecting outside the circle is equal to 1/2 the difference of the two intercepted arcs.
Therefore, as you can see, the correct answer is the option B): B)<span>1/2 the difference of the intercepted arcs</span>
Answer:
-1.44285714286
Step-by-step explanation:
Answer: x=32
Exclamation:
-3x\4+25=1/8x-3
-3/4x+25=x/8-3
-6x+200=x-24
200=x-24+6x
200=7x-24
200+24=7x
224=7x
224/7=32
Answer:
y = 0.325X + 7.5 ;
21.5 ;
R^2 = 0.7655 ;
r = 0.8749
Step-by-step explanation:
No. of loans originated ____ sheets of p/paper
45 ______________22
25 ______________ 13
50 _____________ 24
60 _____________ 25
40 _____________ 21
25 _____________ 16
35 _____________ 18
40 _____________ 25
Using the linear regression calculator : the linear model obtained is:
y = 0.325X + 7.5
y = predicted variable = sheets of photocopy paper
X = number of loans originated
0.325 = slope
Intercept = 7.5
B.)
X = 42
y = 0.325(42) + 7.5
y = 21.15
C.)
The Coefficient of determination as determined using the correlation coefficient calculator is :
R^2 = 0.7655 ; this means that about 76.55% of change in number of photocopy performed is explained by the number of loans originated.
D.) The correlation Coefficient (r) :
r = sqrt(R²)
r = sqrt(0.7655)
r = 0.8749
This shows that a strong positive correlation exists between the number of loans originated and the volume of photocopying done.