We have
mean=mu=170
standard deviation=sigma=5
can now calculate the Zmin and Zmax using Z=(X-mean)/standard deviation
Zmin=(165-170)/5=-1
Zmax=(175-170)/5=+1
From normal probability tables,
P(z<Zmin)=P(z<-1)=0.15866
P(z<Zmax)=P(z<+1)=0.84134
P(165<x<175)=P(Zmin<z<Zmax)=0.84134-0.15866= 0.68269
Answer:
Answer: There are 21 eggs left.
Step-by-step explanation:
One carton has 12 eggs.
2 cartons are two times one carton, so two cartons have 2 times 12 eggs.
2 * 12 = 24
There are 24 eggs in two cartons.
Margot uses 3 eggs. We subtract 3 eggs from 24 eggs.
24 - 3 = 21
Answer: There are 21 eggs left.
Knowing it has to be perpendicular, the slope of the new line has to be -2.
y = -2x + b
Plug the coordinate pair into the equation.
10 = -2(7) + b
10 = -14 + b
24 = b
So the final equation for the line is...
y = -2x + 24
Divide the numerator by the denominator
Answer:
the circumference is 37.7 cm