To find the y intercept, you cover x and it's coefficient and then divide -20 by 4 to get -5. To find the x intercept, you cover y and it's coefficient and divide 5 by -20 to get -4. So, x = -4 and y= -5
Answer:
0.9544
Step-by-step explanation:
We are given that mean=18 and standard deviation=1 and we have to find P(16<X<20).
P(16<X<20)=P(z1<Z<z2)
z1=(x1-mean)/standard deviation
z1=(16-18)/1=-2
z2=(x2-mean)/standard deviation
z2=(20-18)/1=2
P(16<X<20)=P(z1<Z<z2)=P(-2<Z<2)
P(16<X<20)=P(-2<Z<0)+P(0<Z<2)
P(16<X<20)=0.4772+0.4772=0.9544
The probability that the height of a tree is between 16 and 20 feet is 95.44%
Answer:
Length of arc AB = 4π
Step-by-step explanation:
Formula to get the arc length is given by,
Length of arc = 
Here, θ = central angle subtended by the arc AB
r = Radius of the circle
By substituting the values in the formula,
Therefore, length of arc AB = 
= 40π
