Answer:
The approximate estimate of the standard deviation of the speeding ticket fines is of 12.41.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
Middle 68% of speeding ticket fines on a highway fall between 93.18 and 118.
This means that 93.18 is one standard deviation below the mean and 118 is one standard deviation above the mean. That is, the difference between 118 and 93.18 is worth two standard deviations. So
The approximate estimate of the standard deviation of the speeding ticket fines is of 12.41.
Answer:
169π
Step-by-step explanation:
circle eq: (x-a)²+(y-b)²=r², where (a,b) is center and r is radius
r²=169
r = ±13
since a radius length must be positive, r = +13, not -13
A of circle: πr²
r = 13
169π
given that the circle eq has r², you could've noticed that you can take the constant in the circle eq and multiply that by π to get the same answer
She washed 30 plates from 7:30 to 7:35.....so she washed 30 plates in 5 minutes.....30/5 = 6 plates per minute
so if she started washing plates at 7:15 and ended at 7:38...how many plates did she wash....
from 7:15 to 7:38 is 23 minutes...and if she can wash 6 plates per minute, then in 23 minutes, she can wash (23 * 6) = 138 plates <==
the equation...
y = -6x + b...with b being the number of plates she started with and x being the number of minutes and y being the plates she has left to wash...I am not 100% sure on this equation...I am so sorry
Answer:
r= 7.14 (rounded to 2 decimal places)
Step-by-step explanation:
We have to solve this equation for the value of r. We will use distributive property and basic algebra to solve this.
Distributive property is a(b+c) = ab + ac
Now, the steps of solving are shown below:
Hence, value of r is 7.14 (rounded to 2 decimal places)
First a reflection in the y-axis
Then a translation of 3 units upwards.