The distance from the bottom of the wheel to a point on the ground can be expressed using the sine function h(t) = a*sin(kt) + b, where b represents the height of the wheel at 4m. The radius a is calculated as 50/2 = 25m. Since it takes 6 minutes for 3 complete rotations, the period can be derived from 2π/k, giving us k = π. Thus, h(t) = 25*sin(π*t) + 4.
To tackle this issue, we need to utilize the t statistic. This requires calculating the t score first and then consulting standard distribution tables to find the corresponding p value based on the obtained t score.
The formula for calculating the t score is:
t = (x – μ) / (σ / sqrt(n))
Where,
x = sample mean = 40
n = number of sample subjects = 16
s = standard deviation = 20
μ = Population Mean = 30
Plugging in the known values:
t = (40 – 30) / (20 / sqrt 16)
t = 10 / 5
t = 2
Utilizing the standard distribution tables and calculating the degrees of freedom, which is n – 1 = 15, we then find:
p = 0.032
If rational roots exist, they would be factors of the constant term (9) over factors of the leading coefficient (12).
Answer:
a) 0.216
b) 0.784
c) 0.288
d) 0.352
e) 0.784
Step-by-step explanation:
The steps for solving this are provided in an image.
The dimensions of the book cover are 28.3 centimeters in length and 21 centimeters in width. Calculate the range of values for both the actual length and width of the book cover. Minimum length = (28.3 - 0.05) cm and maximum length = (28.3 + 0.05) cm, thus 28.25 cm ≤ length < 28.35 cm.
Hope this information is helpful!
