Step-by-step explanation:
The standard equation of a circle is 
Center = (h, k)
#1
Center = (0,2)
h = 0
k = 2
r = 5


#2
Center = (-4,-5)
h = -4
k = -5
r = 



#3
Center =(-1,3)
h = -1
k = 3
r = 8



#4
Center: (9,0)
h = 9
k = 0
r = 


If you would like to know how far is Julian from his starting position, you can calculate this using the following steps:
First, you have to make a right triangle, where the hypotenuse of this triangle will actually be the distance we are looking for. The distances of the other two sides are 444 kilometers, and 777 kilometers - 222 kilometers; to be exact: 444 kilometers and 555 kilometers.
The distance we are interested in ... d:
d^2 = 444^2 + 555^2
d^2 = 197136 + 308025 = 505161
d = sqrt(505161)
d = <span>710.7 kilometers
</span>
The correct result would be <span>710.7 kilometers.</span>
(8•7)^4 is the correct answer
Required probability is 0.8990
Given that,
p = 0.44
1 - p = 0.56
n = 736
0.01830
Converting Normal distribution to standard normal because A normal distribution is determined by two parameters the mean and the variance. A normal distribution with a mean of 0 and a standard deviation of 1 is called a standard normal distribution. Hence it's easy to work with standard normal distribution.
P(0.14<
<0.47) = P((0.41-0.44)/0.01830) <
<(0.47-0.44)/0.01830
Using normal algebra we get:
= P(-1.64 < z < 1.64)
= P(z < 1.64) - P(z < -1.64)
= 0.9495 - 0.0505
= 0.8990
Thus, required probability is 0.8990
To learn more about normal distribution visit:
brainly.com/question/4079902
#SPJ4
Answer:
As a percent: 115%
As a decimal: 1.15
As a fraction: 
Step-by-step explanation:
<u>Percentages</u>
Suppose Michael spends some amount of money on food, and that money is set at 100%. He leaves a 15% tip for the waitress.
Thus, he is really paying 100%+15% = 115% of the original price.
To express a percentage as a decimal, we just divide by 100:
115% = 115/100 = 1.15
The same division should be simplified instead of operated to express the percentage as a fraction:
115% = 
Simplifying by 5:
115% = 
Summarizing:
As a percent: 115%
As a decimal: 1.15
As a fraction: 