Answer:
A box plot
Step-by-step explanation:
Assuming there are 685 employees in her organization
If she opts for a dot plot, she would need to depict many dots, totaling 685, along with a broad range of values on the x-axis.
<pchoosing a="" box="" plot="" indicates="" her="" intention="" to="" represent="" the="" five-number="" summary="" of="" data="" set="" which="" includes="" minimum="" first="" quartile="" median="" third="" and="" maximum.="">
=> Thus, it's the most suitable option for her.
Should she select a histogram, it implies her desire to categorize numbers into intervals to uncover the frequency distribution pattern within continuous data.
I hope this information serves you well.
</pchoosing>
Answer:
The range of cheerleaders' heights lies within the interval [58, 74)
It includes all real numbers from 58 inches and above, but below 74 inches.
Step-by-step explanation:
we have
Separate the combined inequality into two distinct inequalities
-----> inequality A
-----> inequality B
Solve inequality A
Subtract 28 from both sides
Split by 4 on both sides
Reformulate
Address inequality B
Subtract 28 from both sides
Split by 4 on both sides
consequently
The height range of the cheerleaders is the interval [58, 74)
It consists of every real number starting from 58 inches and less than 74 inches
From a distance of 300 feet, a car approaches you at a speed of 48 feet per second. The distance d (in feet) of the car from you after t seconds can be described by the equation d=|300−48t|. At what moments does the car find itself 60 feet away from you?
The tension does not approach infinity.
<span>Let's analyze free body diagrams (FBDs) for each mass, considering the direction of motion of m₁ as positive.
For m₁: m₁*g - T = m₁*a
For m₂: T - m₂*g = m₂*a
Assuming a massless cord and pulley without friction, the accelerations are the same.
From the second equation: a = (T - m₂*g) / m₂
Substitute into the first:
m₁*g - T = m₁ * [(T - m₂*g) / m₂]
Rearranging:
m₁*g - T = (m₁*T)/m₂ - m₁*g
2*m₁*g = T * (1 + m₁/m₂)
2*m₁*m₂*g = T * (m₂ + m₁)
T = (2*m₁*m₂*g) / (m₂ + m₁)
Taking the limit as m₁ approaches infinity:
T = 2*m₂*g
This aligns with intuition since the greatest acceleration m₁ can have is -g. The cord then accelerates m₂ upward at g while gravity acts downward, leading to a maximum upward acceleration of 2*g for m₁.</span>
