Answer:
y = -2 x = 0
Step-by-step explanation:
1. 3x-4y = 8
2. 18-5y = 10
Multiply equation 1 by 6
3. 18x-24y = 48
Subtract equation 2 from equation 3
4. -19y = 38
y = 38/-19
y = -2
Sub y = -2 back into equation 1
3x-4(-2) = 8
3x + 8 = 8
3x = 0
x = 0/3
x = 0
Answer:
39.17% probability that a woman in her 60s who has a positive test actually has breast cancer
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
![P(B|A) = \frac{P(B)*P(A|B)}{P(A)}](https://tex.z-dn.net/?f=P%28B%7CA%29%20%3D%20%5Cfrac%7BP%28B%29%2AP%28A%7CB%29%7D%7BP%28A%29%7D)
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Positive test.
Event B: Having breast cancer.
3.65% of women in their 60s get breast cancer
This means that ![P(B) = 0.0365](https://tex.z-dn.net/?f=P%28B%29%20%3D%200.0365)
A mammogram can typically identify correctly 85% of cancer cases
This means that ![P(A|B) = 0.85](https://tex.z-dn.net/?f=P%28A%7CB%29%20%3D%200.85)
Probability of a positive test.
85% of 3.65% and 100-95 = 5% of 100-3.65 = 96.35%. So
![P(A) = 0.85*0.0365 + 0.05*0.9635 = 0.0792](https://tex.z-dn.net/?f=P%28A%29%20%3D%200.85%2A0.0365%20%2B%200.05%2A0.9635%20%3D%200.0792)
What is the probability that a woman in her 60s who has a positive test actually has breast cancer?
![P(B|A) = \frac{0.0365*0.85}{0.0792} = 0.3917](https://tex.z-dn.net/?f=P%28B%7CA%29%20%3D%20%5Cfrac%7B0.0365%2A0.85%7D%7B0.0792%7D%20%3D%200.3917)
39.17% probability that a woman in her 60s who has a positive test actually has breast cancer
Answer:
=
+
+![t_{n-4}](https://tex.z-dn.net/?f=t_%7Bn-4%7D)
Step-by-step explanation:
=multiple ways to climb a tower
When n = 1,
tower= 1 cm
= 1
When n = 2,
tower =2 cm
= 2
When n = 3,
tower = 3 cm
it can be build if we use three 1 cm blocks
= 3
When n = 4,
tower= 4 cm
it can be build if we use four 1 cm blocks
= 6
When n > 5
tower height > 4 cm
so we can use 1 cm, 2 cm and 4 cm blocks
so in that case if our last move is 1 cm block then
will be
n —1 cm
if our last move is 2 cm block then
will be
n —2 cm
if our last move is 4 cm block then
will be
n —4 cm
=
+
+![t_{n-4}](https://tex.z-dn.net/?f=t_%7Bn-4%7D)
Answer:
Step-by-step explanation:
3in/4 = 0.75in(Diameter) for each circle
r = 0.375
A = πr^2
A(for 1 circle) = 0.141π
A(for 1/4 circle) = 0.035π
A x 4 because we have 4 circles =
0.141π
0.141π(area of middle) + 0.141π(area of circle) =
0.282π or 0.886in^2
Answer:
sin 33° = 0.545
Step-by-step explanation:
complementary angle to 57° is 33°
sin 33° = 0.545