Answer:
Step-by-step explanation:
A number is at least 65. It means the number n can be 65 or greater.
<u>Its translation is:</u>
<em>The answer options don't have this included.</em>
Answer:
option-C
Step-by-step explanation:
we are given
Let P(A)=0.5
P(B)=0.9
P(A and B)=0.15
we know that

now, we can plug values


but we have
P(A)=0.5
we can see that both are not equal

so, A and B are not independent
so, option-C........Answer
Answer:
0.182 probability that the Yankees will win when they score fewer than 5 runs
Step-by-step explanation:
We use the conditional probability formula to solve this question. It is

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.
In this problem:
When the Yankees score less than 5 runs, either they win, or they lose. The sum of these probabilities is 1.
Probability they lose:
Event A: Scoring fewer than 5 runs.
Event B: Losing
The probability that the Yankees will score 5 or more runs in a game is 0.56.
So 1 - 0.56 = 0.44 probability the Yankees score fewer than 5 runs.
This means that 
The probability that the Yankees lose and score fewer than 5 runs is 0.36.
This means that 
Then the probability they lose is:

Probability they win:
p + 0.818 = 1
p = 0.182
0.182 probability that the Yankees will win when they score fewer than 5 runs
ANSWER
x=3, y=-4
EXPLANATION
The given system is :
First equation:

Second equation:

Let us multiply the first equation by 7 to get,
Third equation;

Let us multiply the second equation too by 10 to get,
Fourth equation:

Subtract the fourth equation from the third equation:


Divide both sides by 59.

Put y=-4 into the second equation and solve for x.





The solution is x=3, y=-4