Answer:
So about 95 percent of the observations lie between 480 and 520.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviations of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
The mean is 500 and the standard deviation is 10.
About 95 percent of the observations lie between what two values?
From the Empirical Rule, this is from 500 - 2*10 = 480 to 500 + 2*10 = 520.
So about 95 percent of the observations lie between 480 and 520.
Given:
The given expression is:

According to Kylie,


To find:
The correct statement for Kylie's explanation.
Solution:
We have,

According to the perfect square trinomial
.


Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.
Therefore, the correct option is C.
Area of pond:
A=
r=1,5m
A=3,142*1,5*1,5=7,0695
Area of pond with path
B=
r=50 cm+1,5m=0,5m+1,5m=2m
B=3,142*2*2=12,568
Area of path:
12,568-7,0695=5,4985=5,50
Answer:
Equation : y = 4x + 55.50
x = 1.9 gigabytes
Step-by-step explanation:
Given that:
Flat fee per month = $55.50
Cost per gigabyte = $4
Let,
x be the number of gigabytes.
y be the total cost
y = 4x + 55.50
Lily wants to keep her bill $63.10
63.10 = 4x + 55.50
63.10 - 55.50 = 4x
4x = 7.60
Dividing both sides by 4

Hence,
Equation : y = 4x + 55.50
x = 1.9 gigabytes