Answer:720
Very good at doing degrees in math!
Answer:
The exam was out of 75.
Step-by-step explanation:
You know that he earned 65% so more than half his answers were correct.
Then, you would guess and check try 49/60, 49/70, and go up by 10s or 5s. You will then realize that 49÷75 equals 65.333. This rounds up to 65.
Answer:
2x
Step-by-step explanation:
10x/5 is the same as 1/5 times 10x.
Simplify to get 2x
Answer:
First, remember the relation:
Distance = Speed*Time.
We know that the distance is 120mi.
A) For the biker we know that:
Time = 8hours.
Speed = Distance/Time = 120mi/8h = 15 mi/h.
B) For the bus we know that:
Time = 2 hours.
Speed = Distance/Time = 120mi/2h = 60 mi/h.
C) For the truck we know that:
Time = 2.5 hours.
Speed = Distance/Time = 120mi/2.5h = 48 mi/h.
D) For the rider on a horse we know that:
Time = 18.75 hours.
Speed = Distance/Time = 120mi/18.75h = 6.4 mi/h.
E) The equation for the speed is:
Speed = Distance/Time.
You can see that time is in the denominator, this means that if for a fixed distance, the time increases, then the denominator increases, which would imply that the speed decreases.
Then the speed is inversely proportional to the time when the distance is fixed.
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.
