Answer:
Let the Dulcina's collection be 'x'
Let the Tremaine collection be 'x-39'
x + x - 39 =129
2x = 129 +39
2x = 168
x = 168/2
x = 84
Dulcina's collection = x = 84
Tremaine's collection = x - 39 = 84 - 39 = 45
Answer:
(C)x=11.6, y=23.2
Step-by-step explanation:
Using Theorem of Intersecting Secant and Tangent
Applying this theorem in the diagram, we have:


Next, we apply Theorem of Intersecting Chords
PV X VQ=SV X VR
4 X x= 2 X y
Recall earlier we got: x=11.6
2y=4 X 11.6
2y=46.4
Divide both sides by 2
y=46.4/2=23.2
Therefore: x=11.6, y=23.2
Answer:
The confidence interval is 
Step-by-step explanation:
From the question we are told that
The sample mean is 
The standard deviation is 
The sample size is 
given that the confidence level is 85% 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 the margin of error is mathematically represented as

=> 
=> 
The 85% confidence interval is mathematically represented as

=> 
=> 
Step-by-step explanation:
x=2 y=0
x= -2 y= -4
y=mx+b
b= 2
-4 = -2m +2
-2m= -6
m=3
y= 3x +2
.......
x=0 y=4
x=2 y= 2
y=mx+b
b=4
2=2m+4
2m= -2
m= -1
y = -x +4