the value of c that makes the expression a perfect square binomial is c=4 .
<u>Step-by-step explanation:</u>
Here we have , an expression x2 + 4x + c or ,
. We need to find the value of c that makes the expression a perfect square binomial. Let's find out:
We have , 
⇒ 
⇒ 
Now , we know that 
Comparing above equation , to
we get ;
⇒
{
}
⇒ 
⇒ 
Therefore , the value of c that makes the expression a perfect square binomial is c=4 .
A.) The insurance company's payment is 80% of the total minus the $500 deductible, so:
(10000 - 500) * .8 = 7600
B.) To find the Copay, you do almost the same thing:
(10000 - 500) * .2 = 1900
C.) Mary's Total Cost: 1900 + 500 = 2400.00
2.5 is the answer u welcome
Answer: No, A and B are not independent events.
∵ it does not satisfy the rule of probability for independent events i.e.
P(A∩B)=P(A).P(B)
Explanation:
Let A be the event that the black dice shows 2 or 5
Let B be the event that the sum of two dice is atleast 7
Sample space of A={
(
}
Sample space of B= {
,
,
}
P(A)= 
⇒P(A)=
⇒P(A)=
Similarly,
P(B)=
⇒ P(B) =
Now for Sample Space of (A∩B)= {
}
So, P(A∩B)= 
Now we apply the formula,
P(A).P(B)=P(A∩B)
×
≠ 
≠ 
∴ The events A and B are not independent events.