Try this option:
1. if 8*x²+b*x+3=8*x²+p*x+q*x+3, then ⇒ b=p+q.
2. p*q = max_value (b²/2), if p=q=0.5*b, and p*q→-oo, if p>0 and q<0 or p>0 q<0.
3. example:
given 8x²+10x+3, the student rewrites it as a) 8x²+5x+5x+3 (5*5=25-max value); b) 8x²+0.01x+9.99x+3 (9.99*0.01=0.0999→0); c) 8x²-20x+30x+3 (p*q=-600).
answer: (-oo;0.5b²)
The dilation of rectangle ABCD to create rectangle A'B'C'D' would change the size of the rectangle
The dilation rule is: (x,y) -> k(x,y)
<h3>How to determine the rule of dilation?</h3>
The coordinates of C' is given as:
C' = (4.5, 4.5)
The coordinate of point C is not given.
So, I will apply a general rule
The general rule of dilation is:
(x,y) -> k(x,y)
Where k represents the scale factor.
Assume that k = 3, the the rule would be
(x,y) -> 3(x,y)
Read more about dilation at:
brainly.com/question/3457976
C because the formula to find the are of a circle is A=(pi) * radius^2. To find the radius from diameter, just divide by two. So 60/2= 30 so now you can just plug in and 30 * 30 is 900 and 900 * pi, or 3.1415926535, is about 2827
Answer:
P = 0.006
Step-by-step explanation:
Given
n = 25 Lamps
each with mean lifetime of 50 hours and standard deviation (SD) of 4 hours
Find probability that the lamp will be burning at end of 1300 hours period.
As we are not given that exact lamp, it means we have to find the probability where any of the lamp burning at the end of 1300 hours, So we have
Suppose i represents lamps
P (∑i from 1 to 25 (
> 1300)) = 1300
= P(
> 
) where represents mean time of a single lamp
= P (Z> 
) Z is the standard normal distribution which can be found by using the formula
Z = Mean Time () - Life time of each Lamp (50 hours)/ (SD/
)
Z = (52-50)/(4/
) = 2.5
Now, P(Z>2.5) = 0.006 using the standard normal distribution table
Probability that a lamp will be burning at the end of 1300 hours period is 0.006
