Expand it, so you will get 9x^2 + 24x + 16
Form the confidence level (99%), we calculate the "alpha" value
alpha=1-(99/100)=0.01
Now, calculate the critical probability (p-start)
p*=1-(alpha/2)=1-(0.01/2)=0.995
z-score could be calculated from p*,,,
z-score=2.57583
Now, calculate the Margin of Error:
standard deviation = s
number of adults = n
ME=(z*s)/(sqrt n)=(2.57583*12)/(sqrt 250) = 1.955
The confidence interval = mean +or- ME
= 70+1.955 or 70-1.955
So that we can conclude that the 99% confidence interval for the mean beats per minute is 68.045 and 71.955
I hope you got the idea!
Answer:
Amount of commission earned = $225
Step-by-step explanation:
Commission rate = 25%
Sales amount = $900
Find the amount of commission earned by the salesperson
Amount of commission earned = Commission rate × Sales amount
= 25% × $900
= 25/100 × $900
= 0.25 × $900
= $225
Amount of commission earned = $225
Answer:
15 1/12
Step-by-step explanation:
6 + 8 + 1/3 + 3/4 = 14 + 13/12 = 15 1/12
Next time, don't add politically controversially statements into your question, thanks.
Answer:
Mark and Lila are 29.83 meters apart.
Step-by-step explanation:
If we draw a triangle with the information given (see image attached), we have that the angle Lila-Avery-Mark is equal to 70°. Then, to find the distance between Mark and Lila, we just need to use the law of cosines, using the two sides given and the angle between them:
c^2 = a^2 + b^2 - 2*a*b*cos(C)
c^2 = 30^2 + 20^2 - 2*30*20*cos(70)
c^2 = 900 + 400 - 1200*0.342
c^2 = 889.6
c = 29.83 m
Mark and Lila are 29.83 meters apart.