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.
Here, Function: h(t)= -16t² + 70t + 40
So, put the value of t, (time at which you want to calculate the height)
h(1) = -16(1)² + 70(1) + 40
h(1) = -16 + 110
h(1) = 94
Now, h(2) = -16(2)² + 70(2) + 40
h(2) = -64 + 180
h(2) = 116
h(3) = -16(3)² + 70(3) + 40
h(3) = -144 + 250
h(3) = 106
In short, Your height depends on time, and at each time it would be different, can be expressed by the coordinates on a Graph: (1, 94) (2, 116) (3, 106)
Hope this helps!
Answer:
y=5x−17
Step-by-step explanation:
Answer: 42
Step-by-step explanation:
The total degrees a triangle can have is 180
180-109-29 = 42
The answer should be 91 because for your total perimeter you add all the sides. So you already have your length of 75 which counts as 2 sides and equals up to 150. after you subtract your two sides from your perimeter you get 182. you then divide 182 by 2 to get your two remaining sides which gives you 91.
