Answer:
A histogram will be utilized to illustrate the right wrist size of the random sample of newborn infants.
Step-by-step explanation:
A histogram serves as a visual representation of the frequency distribution present within the sample. Given that wrist circumference can take on positive real number values, a histogram with defined class boundaries can be constructed to display the overall distribution of wrist sizes in the graph.
Furthermore, as this distribution is continuous in nature, a histogram proves to be a fitting choice compared to either a bar graph or a stem-and-leaf plot.
Solution
To find the angle m∠p.
Method of proof
In triangle ΔDAB, which is a right triangle
Applying the Pythagorean theorem gives us
Hypotenuse² = Perpendicular² + Base²
DB² = AB² + AD²
Where AB = 5 units
AD = 6 units
Substituting in the formula outcomes in
DB² = 5² + 6²
= 25 + 36
= 61
= approximately 7.8 units
The triangle ΔDCB is also right-angled.
Using the trigonometric identity here.
Given that DC = 4 units and DB ≈ 7.8 units,
Substituting these values into the trigonometric identity gives us.
Thus, we find that ∠p ≈ 59.15 °
H(t) = 15 - 6sin(2.5π(t - 0.5)) Step-by-step explanation: For midline M, amplitude A, period T, and time t0 when the function is decreasing from the midline, the function can be expressed as H(t) = M - Asin(2π/T(t - t0)). Applying the specified values of M=15, A=6, T=0.8, and t0 = 0.5 yields the equation H(t) = 15 - 6sin(2.5π(t - 0.5)).
