Answer:
(22.74 ; 27.26)
Step-by-step explanation:
The confidence interval relation is stated as :
Mean ± Zcritical * σ/sqrt(n)
Mean = 25
σ = 6
The Zcritical at 95% = 1.96
Hence,
25 ± 1.96 * (6/sqrt(27))
25 ± 1.96 * 1.1547005
Lower boundary :
25 - (1.96 * 1.1547005) = 22.73678702
Upper boundary :
25 + (1.96 * 1.1547005) = 27.26321298
(22.74 ; 27.26)
Answer:
1. <
2. >
3. >
4. =
5. <
6. <
7. >
8. >
9. >
10. <
11. >
12. <
13. <
14. =
15. =
16. =
Step-by-step explanation:
1) 52 + 33= 85
2) 26 + 42 = 68 or 26 - 42 = - 16
3) 72 - 2015 = =1943
4) 32 x 22 = 704
<h3>Given</h3>
a circle with diameter 8 yd
<h3>Find</h3>
the circumference in feet and yards
<h3>Solution</h3>
The circumference of a circle is given by ...
C = πd
where C is the circumference and d is the diameter. For your circle, the circumference is
... C = π(8 yd) = 8π yd ≈ 25.13 yd
There are 3 feet in a yard, so 3 times as many feet.
... C = 24π ft ≈ 75.40 ft