Answer:
The 90% confidence interval of the population proportion is (0.43, 0.56).
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for population proportion <em>p</em> is:
The information provided is:
<em>X</em> = 74
<em>n</em> = 150
Confidence level = 90%
Compute the value of sample proportion as follows:
Compute the critical value of <em>z</em> for 90% confidence level as follows:
*Use a <em>z</em>-table.
Compute the 90% confidence interval of the population proportion as follows:
Thus, the 90% confidence interval of the population proportion is (0.43, 0.56).
Answer:
r = 9.61 cm
Step-by-step explanation:
Volume of a rectangular box = length × width × height
= 21.5 cm × 13.5 cm × 6 cm
= 1,741.5 cm³
Volume of a rectangular box = 1,741.5 cm³
Since,
Volume of a rectangular box = Volume of a circular box
Then,
1,741.5 cm³ = Volume of a circular box
Volume of a circular box = πr²h
1,741.5 cm³ = 3.14 * r² * 6 cm
1,741.5 = 18.84r²
r² = 1,741.5/18.84
r² = 92.436305732484
r = √92.436305732484
r = 9.6143801533163
Approximately,
r = 9.61 cm
2 numbers are called relatively prime if their Greatest Common Factor is 1.
For example, GCF(2, 6) = 2, not 1, so 2 and 6 are not relatively prime.
whereas, GCF(3, 8)=1, so 3 and 8 are relatively prime.
3 sets of relatively prime numbers are :
{4, 5}, {7, 9}, {9, 16}
Answer:
{4, 5}, {7, 9}, {9, 16}
Answer:
b
Step-by-step explanation:
Answer:
80/7 simplified its 11 3/7
Step-by-step explanation:
lmk if you need an explanation! :]
