Step-by-step explanation:
Height = 500sin30° = 500(0.5) = 250.
Answer:
50
Step-by-step explanation:
let the number be x
15% of x= 0.15x
0.15x=30
(divide both sides by 0.15)
x= 200
25% of 200 = 25/100 *200
= 50
Answer:
P(CO|M)=0.77 for male
and P(CO|M^c)=0.62 for female
Step-by-step explanation:
When we talk of conditional probability, we refer to the measure of the probability of an event given that another event has occurred
Here, we are to express the results of the survey as a conditional probability.
For the male part of the question, the conditional probability means that, given that the person is a male, the probability that he is a car owner would be;
P(CO|M)=0.77
For the female part of the question, what we have as a conditional probability is that if a person is a female that she is a car owner is;
P(CO|M^c)=0.62
Please kindly understand that the term M^c refers to M complement in words
To solve this problem you must apply the proccedure shown below:
1. You have that the ellipse given as a vertical major axis (a=13), therefore, taking the ellipse with its center at the origin, you have the following equation:
(y^2/a^2)+(x^2/b^2)=1
2. You have the distance from the center of the ellipse to the focus:
c=12, therefore, you can calculate the value of b, the minor radius:
c^2=a^2-b^2
b=√(13^3-12^2)
b=5
3. Therefore, the equation is:
a^2=169
b^2=25
(y^2/169)+(x^2/25)=1
The answer is: (y^2/169)+(x^2/25)=1
9514 1404 393
Answer:
C. Reflecting over the y-axis and then translating to the right 8 units
Step-by-step explanation:
Reflection over the line x=4 gives you the transformation ...
(x, y) ⇒ (2·4 -x, y) = (-x +8, y)
This is precisely the same transformation you get by reflection over the y-axis:
(x, y) ⇒ (-x, y)
followed by translation to the right 8 units:
(-x, y) ⇒ (-x +8, y)
__
Reflection over x=4 is the same as reflection over y and translation right 8.