Answer:
242 members voted in favor while 193 members voted against
Step-by-step explanation:
Let those that voted against be x will those in favor will be (x+49)
Since today number of voters is 435
To find x
X + (x+49) = 435
2x + 49 = 435
2x = 435 - 49
2x = 386
X = 386/2
X = 193
Therefore, those against is 193 while this in favor is 193+49 = 242
Patrick because he can run 1 lap in 90 seconds
Answer:
Step-by-step explanation:
Given that:
mean μ = 70
sample size = 25
sample mean = 73
standard deviation = 7
level of significance = 0.10
The null hypothesis and the alternative hypothesis can be computed as follows:

The z score for this statistics can be calculated by using the formula:




z = 2.143
At level of significance of 0.10
degree of freedom = n -1
degree of freedom = 25 - 1
degree of freedom = 24
The p - value from the z score at level of significance of 0.10 and degree of freedom of 24 is:
P - value = 1 - (Z < 2.143)
P - value = 1 - 0.9839
P - value = 0.0161
Decision Rule: since P value is lesser than the level of significance, we reject the null hypothesis.
Conclusion: We conclude that energy drink consumption increases heart rate.