Answer:
AD=5.82 units
Step-by-step explanation:
tan 31=3/BD
0.6009=3/BD
BD=5
AD^2=3^2 + 5^2
AD^2=9+25=34
AD=5.82
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.
Correct answers are 
and 
i.e. Options A & D
<u>Step-by-step explanation:</u>
Options for this questions are:
A)D+1/5D
B)D+20
C)D+20D
D)1.2D choose two answers.
We have , Crispy Clover, a popular vegetarian restaurant, introduced a new menu that has 20%, percent more dishes than the previous menu. The previous menu had D dishes.We need to find expressions could represent how many dishes Crispy Clover's new menu has . Let's find out:
Initially , Number of dishes are D . Then 20% more dishes are there in menu
⇒ 
So , Total Number of Dishes are
⇒ 
⇒ 
⇒
⇒ 
⇒
Therefore, Correct answers are and i.e. Options A & D .
Answer:
4
Step-by-step explanation:
pi*r^2
just put each number where r is to find out the answer
