Answer:
-1
Step-by-step explanation:
2 × (-1²) + 1 = 2 × (-1) + 1 = -2 + 1 = -1
Answer:
center: (-10,-4)
radius: 9
Step-by-step explanation:
Let's start off by moving the 35 to the other side and grouping the x and y terms we have
(x²+20x)+(y²+8y)= -35
Next we take the term with the x coeficcent, divide it by 2, and square it
so
for the x we would do (20/2)²=100
and make sure we add that to the 35
(x²+20x+100)+(y²+8y+16)= -35+100+16
next factor everythign to get
(x+10)²+(y+4)²=81
therefore the center is (-10,-4)
and the radius is √81 or 9
Answer:
The probability that the time between the next two calls is between 3 minutes and 7 minutes is 0.2442.
Step-by-step explanation:
Let <em>X</em> = time between calls made to Amazon's customer service.
The average time between calls is, <em>β</em> = 10 minutes.
The random variable <em>X</em> follows an Exponential distribution with parameter 
The probability distribution function of <em>X</em> is:

Compute the probability that the time between the next two calls is between 3 minutes and 7 minutes as follows:

Thus, the probability that the time between the next two calls is between 3 minutes and 7 minutes is 0.2442.
Answer:
54.6cm
Step-by-step explanation:
Arc length = radius * central angle
= 18.2*3
=54.6