Answer:
4(3) - 7 = 4(3 - 1) - 3
12 - 7 = 4(2) - 3
5 = 8 - 3
= 5
They are equivalent because when they are both simplified they have the same answer 5
Answer:
-9
Step-by-step explanation:
Answer:
81.85%
Step-by-step explanation:
Given :
The average summer temperature in Anchorage is 69°F.
The daily temperature is normally distributed with a standard deviation of 7°F .
To Find:What percentage of the time would the temperature be between 55°F and 76°F?
Solution:
Mean = 
Standard deviation = 
Formula : 
Now At x = 55


At x = 76


Now to find P(55<z<76)
P(2<z<-1)=P(z<2)-P(z>-1)
Using z table :
P(2<z<-1)=P(z<2)-P(z>-1)=0.9772-0.1587=0.8185
Now percentage of the time would the temperature be between 55°F and 76°F = 
Hence If the daily temperature is normally distributed with a standard deviation of 7°F, 81.85% of the time would the temperature be between 55°F and 76°F.
Answer:
602.88cm²
Step-by-step explanation:
Find the image of the cylinder attached
Surface area of a cylinder = A=2πrh+2πr²
r is the radius = 4cm
Height h = 20cm
Substitute
A = 2πr(r+h)
A = 2π(4)(4+20)
A = 8π(24)
A = 192π
A = 192(3.14)
A = 602.88cm²
Hence the surface area of the cylinder is 602.88cm²
You multiply each point by 1/2 or 0.5 so if you have point A which is at (15,-3) it would become (7.5,-1.5) and you graph it there