Answer:
We should reject H0
At the 5% significance level, there is sufficient evidence to conclude that the die is not fair.
Step-by-step explanation:
Null hypothesis is a statement that is to be tested against the alternative hypothesis and then decision is taken whether to accept or reject the null hypothesis. The critical value is 15.091 and test statistic is 11.070. The null hypothesis is rejected or accepted on the basis of level of significance. When the p-value Test statistics is greater than level of significance we fail to reject the null hypothesis and null hypothesis is then accepted. In the given case p-value is less than critical value then we should reject the null hypothesis.
Answer:
3.125 in
Step-by-step explanation:
12.5 / 4
<span>Let m = speed of motorboat
and c = speed of current
.
When going downstream, current speed is added to boat speed -- and, the total speed is "8 miles downstream in 20 minutes"
.
To convert to "miles per hour" we multiply by 60 mins per 1 hour:
(8 miles/20 mins) * (60 mins/1 hour) = 24 mph
.
This gives us our first equation (1):
m+c = 24
.
When going upstream, the boat speed is reduced by the current -- and, the total speed is "8 miles in 30 minutes".
To convert to "miles per hour" we multiply by 60 mins per 1 hour:
(8 miles/30 mins) * (60 mins/1 hour) = 16 mph
.
This gives us our second equation (2):
m-c = 16
m = 16+c
.
Plug the above into equation 1 and solve for c:
m+c = 24
16+c+c = 24
16+2c = 24
2c = 8
c = 4 mph </span>
Answer:
a) Avg rate of change = 4 pounds per week
b) 160 pounds
Step-by-step explanation:
a)
The average rate of change is also called the slope. It is advertised that a person can loose 4 pounds in a week in the program. So, the average rate of change is 4 pounds per week.
Avg rate of change = 4 pounds per week
b)
In 5 weeks, a person can loose:
4 * 5 = 20 pounds (in 5 weeks)
Initially the person weighed 180 pounds, now after the program, he lost 20 pounds, so his weight will be:
180 - 20 = <u>160 pounds</u>
