Okay so a right angle is 90 degrees so we take 90 degrees and subtract 63 from it
90-63=17 degrees
so X=17
Then in order to find Y, we have to realize these are alternate interior angles so they equal the same
your equation is 3y=63
you divide y by 3 to isolate it and
Y= 21
Hope this helps:)
Answer:
170,070 residents
Step-by-step explanation:
Original population = 1500 residents
Total population after 6 years is calculated using the formula
A = P(1+r)^t
r is the rate = 120% = 1.2
t is the time = 6 years
P is the original population
A = 1500(1+1.2)^6
A = 1500(2.2)^6
A = 1500(113.379904)
A = 170,069.856
B OR D IT WAS confusing.
Step-by-step explanation:
I tried different equations multiple ways I'm pretty sure I did it wrong
Answer:
0.35 = 35% probability that a married couple watches the movie
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
![P(B|A) = \frac{P(A \cap B)}{P(A)}](https://tex.z-dn.net/?f=P%28B%7CA%29%20%3D%20%5Cfrac%7BP%28A%20%5Ccap%20B%29%7D%7BP%28A%29%7D)
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
The probability that a husband watches the movie, given that his wife does, is 0.7.
This means that ![P(B|A) = 0.7](https://tex.z-dn.net/?f=P%28B%7CA%29%20%3D%200.7)
The probability that a wife watches the movie is 0.5.
This means that ![P(A) = 0.5](https://tex.z-dn.net/?f=P%28A%29%20%3D%200.5)
What is the probability that a married couple watches the movie?
Both, so:
![P(B|A) = \frac{P(A \cap B)}{P(A)}](https://tex.z-dn.net/?f=P%28B%7CA%29%20%3D%20%5Cfrac%7BP%28A%20%5Ccap%20B%29%7D%7BP%28A%29%7D)
![P(A \cap B) = P(B|A)*P(A) = 0.7*0.5 = 0.35](https://tex.z-dn.net/?f=P%28A%20%5Ccap%20B%29%20%3D%20P%28B%7CA%29%2AP%28A%29%20%3D%200.7%2A0.5%20%3D%200.35)
0.35 = 35% probability that a married couple watches the movie
Answer:
The scale <u>150 metres : 1 centimeters</u> is the map using.
Step-by-step explanation:
Given:
2 fields are 1,200 meters from each other.
On a map the 2 fields are 8 centimeters apart.
Now, to find the scale map is using.
Actual distance between the 2 fields = 1200 meters.
Distance in the map between the 2 fields = 8 centimeters.
So, to get the scale map is using we find the ratio:
.
![=\frac{1200}{8}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1200%7D%7B8%7D)
![=\frac{150}{1}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B150%7D%7B1%7D)
![=150\ meters:1\ centimeters](https://tex.z-dn.net/?f=%3D150%5C%20meters%3A1%5C%20centimeters)
Therefore, the scale 150 metres : 1 centimeters is the map using.