The area of the sidewalk is 144.44 m².
The 2-m wide walk adds 4 m to the diameter, making it 21+4=25.
Since the radius is half the diameter, r = 25/2 = 12.5.
The area of the entire bed with walkway is 3.14(12.5)² = 490.625 m².
The diameter of the bed is 21, so the radius is 21/2 = 10.5.
The area of just the flower bed is 3.14(10.5)² = 346.185.
The difference between the two is 490.625-346.185 = 144.44 m². This is the area of the walkway.
I hope this helps you
Q and R complimentary
6x+20+2x=180
8x=160
x=20
Answer:
Perpendicular (right angle)
Step-by-step explanation:
hope this helps!
Answer: 0.0304
Step-by-step explanation:
A z-test is a statistical test that is used to determine if two population means are different when the variances are known and the sample size is large. The test statistic is assumed to have a normal distribution, and nuisance parameters such as standard deviation should be known in order for an accurate z-test to be performed.
A z-statistic, also known as z-score, is a number representing how many standard deviations above or below the mean population a score derived from a z-test is.
Therefore,
sample size,n = 36
mean,u = 16 ounce
standard deviation,s = 0.2 pounds = 3.2 ounce
x = 15 ounce
z = (x-u) / (s/sqrt(n)) = -1.875
In conclusion, the probability that the amount dispensed by box will be increased is:
P(X<15) = P(Z<-1.875)
= 1 - P(Z<1.875)
= 1 - 0.9696
0.0304
The Answer is 0.0304.
