Answer:
3) x-axis: 1 unit
y-axis: 10 units
4) quadrant II
coordinates: (-2, 4)
7) Quadrants I and IV; time is always positive , but temperature can be positive and negative
8) W = (-0.75, -1)
Step-by-step explanation:
3) x-axis: 1 unit
y-axis: 10 units
4) quadrant II
coordinates: (-2, 4)
7) Quadrants I and IV; time is always positive , but temperature can be positive and negative
8) W = (-0.75, -1)
2.4x10 to the power of -10
Answer:
1.236 × 10^(-3)
Step-by-step explanation:
Let A be the event that the person is a future terrorist
Let B the event that the person is identified as a terrorist
We are told that there are 1,000 future terrorists in a population of 400 million. Thus, the Probability that the person is a terrorist is;
P(A) = 1000/400000000
P(A) = 0.0000025
P(A') = 1 - P(A)
P(A') = 1 - 0.0000025
P(A') = 0.9999975
We are told that the system has a 99% chance of correctly identifying a future terrorist. Thus; P(B|A) = 0.99
Thus, P(B'|A) = 1 - P(B|A)
P(B'|A) = 1 - 0.99
P(B'|A) = 0.01
We are told that there is a 99.8% chance of correctly identifying someone who is not a future terrorist. Thus; P(B'|A') = 0.998
Hence: P(B|A') = 1 - P(B'|A')
P(B|A') = 1 - 0.998
P(B|A') = 0.002
We want to find the probability that someone who is identified as a terrorist, is actually a future terrorist. This is represented by: P(A|B)
We can find it from bayes theorem as follows;
P(A|B) = [P(B|A) × P(A)]/[(P(B|A) × P(A)) + (P(B|A') × P(A')]
Plugging in the relevant values;
P(A|B) = [0.99 × 0.0000025]/[(0.99 × 0.0000025) + (0.002 × 0.9999975)]
P(A|B) = 0.00123597357 = 1.236 × 10^(-3)
Answer:
A. 90°+m∠4
Step-by-step explanation:
Also
∠
A
+
∠
C
=
180 o
=
∠
B
+
∠
D
⇒
2
x+
(
3
x
−
5
)
=
180 0
=
(
x
+
5
)
+ ∠ C
5
x − 5 = 180
Add 5 to both sides
5
x = 185
Divide both sides by 5
x = 185 5 = 37
But it was A. 90°+m∠4
Answer:
The inequality is 
The greatest length of time Jeremy can rent the jet ski is 5 and Jeremy can rent maximum of 135 minutes.
Step-by-step explanation:
Given: Cost of first hour rent of jet ski is $55
Cost of each additional 15 minutes of jet ski is $10
Jeremy can spend no more than $105
Assuming the number of additional 15-minutes increment be "x"
Jeremy´s total spending would be first hour rental fees and additional charges for each 15-minutes of jet ski.
Lets put up an expression for total spending of Jeremy.
We also know that Jeremy can not spend more than $105
∴ Putting up the total spending of Jeremy in an inequality.
Now solving the inequality to find the greatest number of time Jeremy can rent the jet ski,
⇒ 
Subtracting both side by 55
⇒ 
Dividing both side by 10
⇒
∴ 
Therefore, Jeremy can rent for 
Jeremy can rent maximum of 135 minutes.
