Answer:
Step-by-step explanation:
Given that a survey was conducted that asked 1004 people how many books they had read in the past year.
Results are:
x bar =12.5
s = 16.6
n = 1004
Std error of sample = 
Since population std dev is not known t critical value can be used for confidence interval.
df = 1004-1 =1003
t critical = 1.96
Margin of error 
Confidence interval lower bound 
Upper bound
Step-by-step explanation:
b.3n/2 = 7/2
6n = 14
n = 2 1/3
c.-x/2 + 6 = -13/4
-x/2 = -37/4
-4x = -74
x = 18 1/2
d.3x/10 = 2/5
15x = 20
x = 1 1/3
e.x/10 = -20/3
3x = -200
x = -66 2/3
f.269x/56 = 10
269x = 560
x = 2 22/269
Answer:
Step-by-step explanation:
<h3>Given</h3>
- If (s -a) = 5cm, (s -b) = 10cm, (s -c) = 1cm
- s = ?
<h3>Solution</h3>
<u>Add up the 3 equations and solve for s:</u>
- s - a + s - b + s - c = 5 + 10 + 1
- 3s = 16 + a + b + c
- s = 1/3(a + b + c + 16)
Surface Area (SA) of a Cylinder formula:
SA = 2*pi*r*h+2*pi*r^2
If you fill in the formula:
SA = 2*3.14*2*9+2*3.14*2^2
Simplify:
SA = 6.28*18+6.28*4
SA = 113.04 + 25.12
SA = 138.16 in
I hope I helped
If its wrong I'm super duper extra sorry!
Answer:
Area of the garden:

Explanation:
Given the below parameters;
Length of the rectangle(l) = 23 ft
Width of the rectangle(w) = 14 ft
Value of pi = 3.14
Since the width of the rectangle is 14 ft, so the diameter(d) of the semicircle is also 14 ft.
The radius(r) of the semicircle will now be;

Let's now go ahead and determine the area of the semicircle using the below formula;

Let's also determine the area of the rectangle;

We can now determine the area of the garden by adding the area of the semicircle and that of the rectangle together;

Therefore, the area of the garden is 398.93 ft^2