(3x+1)+(2x+4)=90
3x+1+2x+4=90
5x+5=90
5x=85
x=17
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.
Answer:
216
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
The distance YZ is sqrt(34^2-30^2)=16
If they EACH bough 2 of EACH size soda, then it would be.
S: # of different sized sodas
P: Price of soda
5×2(S×P)
but if each sized sodas cost a different amount it would be
S: Price of first size
S2: Price of second size
S3: Price of third size
and so on.
5×2(S+S2+S3...)
but if they all together bought 2 of EACH size soda, then it is.
2(S×P)
but if each sized sodas cost a different amount it would be
S: Price of first size
S2: Price of second size
S3: Price of third size
and so on.
2(S+S2+S3...)
