Answer:
Kindly check explanation
Step-by-step explanation:
Organizations like NASA who explore space and planets often have to deal with measurement of very long distances such as the one stated above. The Major challenge with the distance written in the format expressed above is the difficulty to read, state or use in mathematical calculations as it is too explicit. A more effective method is to express this distance in standard format and more suitable long distant units such as miles.
For instance;
880,000,000,000,000,000,000,000 kilometers could be expressed as in standard form as ;
8.8 * 10^23 km
Problem 1
<h3>Answer: 7/10</h3>
-----------------------
Explanation:
The formula we'll use is
P(A or B) = P(A) + P(B)
which only works if A and B are mutually exclusive events.
P(A or B) = P(A) + P(B)
P(A or B) = 7/20 + 7/20
P(A or B) = (7+7)/20
P(A or B) = 14/20
P(A or B) = (7*2)/(10*2)
P(A or B) = 7/10
=========================================================
Problem 2
<h3>Answer: 3/4</h3>
-----------------------
Explanation:
We'll use the same formula as the previous problem.
P(A or B) = P(A) + P(B)
P(A or B) = 3/10 + 9/20
P(A or B) = 6/20 + 9/20
P(A or B) = (6+9)/20
P(A or B) = 15/20
P(A or B) = (3*5)/(4*5)
P(A or B) = 3/4
=========================================================
Problem 3
<h3>Answer: 3/5</h3>
-----------------------
Explanation:
We'll use the same formula as the previous problem.
P(A or B) = P(A) + P(B)
P(A or B) = 7/20 + 1/4
P(A or B) = 7/20 + 5/20
P(A or B) = (7+5)/20
P(A or B) = 12/20
P(A or B) = (4*3)/(4*5)
P(A or B) = 3/5
=========================================================
Problem 4
<h3>Answer: 0</h3>
-----------------------
Explanation:
This time we're asked to find P(A and B), but since the two events are mutually exclusive, this means the probability of both occurring is 0.
Mutually exclusive events cannot happen simultaneously.
An example would be flipping heads and tails at the same time on the same coin.
The info about P(A) and P(B) is not relevant.
Answer:
1/3
Step-by-step explanation:
Answer: y= -2x
Step-by-step explanation:
(-3,6)(3,-6)
M= -6-6/3-(-3)
M= -12/6
M= -2
(-3,6 ) and m= -2, find b
Y=mx+b
6=-2(-3)+b
6= 6+b
6-6=b
0=b
Y= -2x
Answer:
f(g(x)) = x² + 1
Step-by-step explanation: