Answer:
K(-4,8) is the ortho center.
Step-by-step explanation:
In a right angled triangle, The vertex of the right angle is the ortho center.
Here we are given
J(-4,-1), K(-4,8) & L(2,8)
Using distance formula we get
So we can say that
By converse of pythagorean theorem we get
Hence the Vertex of the right angle is K(-4,8)
K(-4,8) is the ortho center.
Answer:
This is 0.14 to the nearest hundredth
Step-by-step explanation:
Firstly we list the parameters;
Drive to school = 40
Take the bus = 50
Walk = 10
Sophomore = 30
Junior = 35
Senior = 35
Total number of students in sample is 100
Let W be the event that a student walked to school
So P(w) = 10/100 = 0.1
Let S be the event that a student is a senior
P(S) = 35/100 = 0.35
The probability we want to calculate can be said to be;
Probability that a student walked to school given that he is a senior
This can be represented and calculated as follows;
P( w| s) = P( w n s) / P(s)
w n s is the probability that a student walked to school and he is a senior
We need to know the number of seniors who walked to school
From the table, this is 5/100 = 0.05
So the Conditional probability is as follows;
P(W | S ) = 0.05/0.35 = 0.1429
To the nearest hundredth, that is 0.14
3+8+10+14+11= 46
46/(how many trees) 5= 9.2
9.2 years is your answer.
Answer:
13.
Step-by-step explanation:
If each of the first 12 guests happens to be born in a different month, the 13th person will have to be born in the same month as one of the first 12.
Answer:
13/48
Step-by-step explanation:
I take the middle sign to be plus.\
3/4//4/5 = 3/4 * 5/4 = 15/16
15/16 - 2/3 =
The lowest common denominator would be 48: 16 and 3 are prime to each other.
45/48 - 32/48 = 13 / 48
Where did the minus come from? I take it that there is a minus sign in front of the 2
