Answer:
a.27
Step-by-step explanation:
Using Pythagoras theorem:
x=sqrt(6^2+26^2)
x=26.683..
By rounding, x=27
Answer:
33+12t−21t^2
Step-by-step explanation:
(2t-7)²-(5t-4)²
Use binomial theorem (a−b)^2 = a^2−2ab+b^2 to expand (2t-7)².
4t^2−28t+49−(5t-4)²
Use binomial theorem (a−b)^2 = a^2−2ab+b^2 to expand (5t-4)².
4t^2−28t+49−(25t^2−40t+16)
To find the opposite of 25t^2
−40t+16, find the opposite of each term.
4t^2−28t+49−25t^2−40t+16
Combine 4t^2 and −25t^2 to get −21t^2.
−21t^2−28t+49+40t−16
Combine −28t and 40t to get 12t.
−21t^2+12t+49−16
Subtract 16 from 49 to get 33.
−21t^2+12t+33
Swap terms to the left side.
33+12t−21t^2
I hope this helped!
Answer:
95% Confidence interval for taxi fare: ($20.5,$24.2)
Step-by-step explanation:
We are given the following data set: for fares:
$22.10, $23.25, $21.35, $24.50, $21.90, $20.75, and $22.65
Formula:
95% Confidence interval:
Putting the values, we get,
Y-Intercept =(−8)
Go to the graph and plot the point the point (0,−8) on the y-axis.
Then rise 4 and run 1. Plot the point (1,−4)
Then again "rise 4" and then "run" 1. Plot the point (2,0)
The volume of a cone is 1/3 pi r^2 h, so plug this in to get the answer
