Answer:
the middle 50% of most lengths of pregnancies ranges between 255.62 days and 274.38 days
Step-by-step explanation:
Given that :
Mean = 265
standard deviation = 14
The formula for calculating the z score is 
x = μ + σz
At middle of 50% i.e 0.50
The critical value for 
From standard normal table
+ 0.67 or -0.67
So; when z = -0.67
x = μ + σz
x = 265 + 14(-0.67)
x = 265 -9.38
x = 255.62
when z = +0.67
x = μ + σz
x = 265 + 14 (0.67)
x = 265 + 9.38
x = 274.38
the middle 50% of most lengths of pregnancies ranges between 255.62 days and 274.38 days
The area of a square is simply the side length squared and we are given that the area is 125 so:
s^2=125
s=√125
s=5√5
Now using the area equation again, and adding 1 inch to s we have:
A=(s+1)^2, and using s found above we have:
A=(5√5+1)^2
A=125+10√5+1
A=126+10√5 in^2
A≈148.36 in^2 (to nearest hundredth of a square inch)
Answer:
a) 36°
b ) 18°
Step-by-step explanation:
The formula is given as:
The measure of each exterior angle =360°/n, where n = number of sides of a polygon.
a) decagon
Decagon = 10 sides
Hence, the measure of each exterior angle = 360°/10
= 36°
b) 20-gon
20-gon = 20 sides
Hence, the measure of each exterior angle = 360°/20
= 18°
Answer:
Mean =26.2
Median=27
Mode=32
Range=38
Step-by-step explanation:
From the stem and leaf plot, we obtain the original data as:
9,11,12,12,14,17,25,25,27,32,32,32,33,35,41,42,47
The median is middle observation of the array.
Thebefore the median is 27
The mode is the number that occurs most.
The mode is 32.
The range is the highest observation minus the least observation.
The range is 47-9=38
The mean is given by:

