Answer:
-3 and 81/99
Step-by-step explanation:
8 and 2/5 is 8.4 and -2 and 1/5 is -2.2
8.4 divided by -2.2 is equal to -3 and 81/99
Answer:
100
Step-by-step explanation:
So, the prime factors of 100 are written as 2 x 2 × 5 x 5 or 25*4
Answer : 6x^5 + 6x^2 - 5
Combine the like terms :
4x^5 + 2x^5 = 6x^5
3x^2 + 3x^2 = 6x^2
-6 + 1 = -5
Put into descending order.
Answer:
Since the calculated value of z= 2.82 does not lie in the critical region the null hypothesis is accepted and it is concluded that the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls.
The value of p is 0 .00233. The result is significant at p < 0.10.
Step-by-step explanation:
1) Let the null and alternate hypothesis be
H0: μboys − μgirls > 0
against the claim
Ha: μboys − μgirls ≤ 0
2) The significance level is set at 0.01
3) The critical region is z ≤ ± 1.28
4) The test statistic
Z= p1-p2/ sqrt [pcqc( 1/n1+ 1/n2)]
Here p1= 397/768= 0.5169 and p2= 331/745=0.4429
pc = 397+331/768+745
pc= 0.4811
qc= 1-pc= 1-0.4811=0.5188
5) Calculations
Z= p1-p2/ sqrt [pcqc( 1/n1+ 1/n2)]
z= 0.5169-0.4429/√ 0.4811*0.5188( 1/768+ 1/745)
z= 2.82
6) Conclusion
Since the calculated value of z= 2.82 does not lie in the critical region the null hypothesis is accepted and it is concluded that the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls.
7)
The value of p is 0 .00233. The result is significant at p < 0.10.
Area of a circle is = PI x r^2
Area = 27 PI
This means the radius would be the square root of 27:
√27 = 3√3
The answer is F.
