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:
Step-by-step explanation:
-22
You want to find
P(1000 < X < 3000)
where X is normally distributed with mean 1751 and standard deviation 421. Transform X to Z, so that it follows the standard normal distribution with mean 0 and standard deviation 1 using the relation
X = 1751 + 421Z ==> Z = (X - 1751)/421
Then
P(1000 < X < 3000) = P((1000 - 1751)/421 < (X - 1751)/421 < (3000 - 1751)/421)
… ≈ P(-1.783 < Z < 2.967)
… ≈ P(Z < 2.967) - P(Z < -1.783)
… ≈ 0.9985 - 0.0373
… ≈ 0.9612
so that approximately 96.1% of the students fall in this income range.
The answer is 31/35
Hope it helps!
Answer:
4 hours 48 minutes
Step-by-step explanation:
Right now, in this problem the whole set comprises of a single day and you know that there are 24 hours in a day.
In order to solver the problem,you have to draw a number line of length 24 and then separate it into 5 equal parts. (because there are total five brothers)
or simply, just divide 24 by 5.
= 24/5 => 4
hours
lets convert 4/5 hour to minutes, as you know there are 60 minutes in one hour.
therefore, 4/5 x 60= 48 minutes.
Answer: Each brother will spend 4 hours watching the puppy in single day, which is likewise 4 hours 48 minutes
