The tallest person ever confirmed by the Guinness records organization was Robert Wadlow of the United States, at 8 feet 11.1 inches tall. Heights of American men are approximately Normal with mean 69.3 inches and standard deviation 2.8 inches. Wadlow's z-score is 13.5 because (107.1 - ???)/2.8 =13.5

When a person stands on tiptoe (a strenuous position), the position of the foot is as shown in Figure (a). The total gravitational force on the body, vector F g, is supported by the force vector n exerted by the floor on the toes of one foot. A mechanical model of the situation is shown in Figure (b), where vector T is the force exerted by the Achilles tendon on the foot and vector R is the force exerted by the tibia on the foot. Find the values of vector T , vector R , and θ when vector F g = 805 N. (Do not assume that vector R is parallel to vector T .)

For tests using a ballistocardiograph, a patient lies on a horizontal platform that is supported on jets of air. Because of the air jets, the friction impeding the horizontal motion of the platform is negligible. Each time the heart beats, blood is pushed out of the heart in a direction that is nearly parallel to the platform. Since momentum must be conserved, the body and the platform recoil, and this recoil can be detected to provide information about the heart. For each beat, suppose that 0.050 kg of blood is pushed out of the heart with a velocity of +0.30 m/s and that the mass of the patient and the platform is 85 kg. Assuming that the patient does not slip with respect to the platform, and that the patient and the platform start from rest, determine the recoil velocity.

In an industrial cooling process, water is circulated through a system. If the water is pumped with a speed of 0.45 m/s under a pressure of 400 torr from the first floor through a 6.0-cm diameter pipe, what will be the pressure on the next floor 4.0 m above in a pipe with a diameter of 2.0 cm?

A car initially traveling eastward turns north by traveling in a circular path at uniform speed as in the figure below. The length of the arc ABC is 235 m, and the car completes the turn in 33.0 s. (Enter only the answers in the input boxes separately given.)
(a) What is the acceleration when the car is at B located at an angle of 35.0°? Express your answer in terms of the unit vectors ${\displaystyle \hat{i}}$ and ${\displaystyle \hat{j}}$.
1. (Enter in box 1) $\frac{m}{s^2}\hat{i}+(\text{ Enter in box 2 })\frac{m}{s^2}\hat{j}$
(b) Determine the car's average speed.
3. ( Enter in box 3) m/s
(c) Determine its average acceleration during the 33.0-s interval.
4. ( Enter in box 4) ${\displaystyle \frac{m}{s^2}\hat{i}+}$
5. ( Enter in box 5) ${\displaystyle \frac{m}{s^2}\hat{j}}$

Show that $\frac{c}{1+c}\le \frac{a}{1+a}+\frac{b}{1+b}$, for $c\le a+b$ and $a,b,c\ge 0$
So need to show $\frac{c}{1+c}\le \frac{a+b+2ab}{1+a+b+ab}$
We have $\frac{c}{1+c}\le \frac{a+b}{1+c}\le \frac{a+b+2ab}{1+c}$
So the whole thing reduces to showing $c\ge a+b+ab$?
Can anyone help me with this, I'm rubbish at inequalities...

How do you solve and graph ${\displaystyle -\frac{v}{2}\ge 3.5}$ ?

If an area in the form of a a circle is to be roped off by rope 10m [meter] long , what will be the radius of thi area ? round of you awnser two decimal place wichi the crrect awser it is A 1.28m or B 1.59 or C . 2.56 or D.3.18m