Find the area under the standard normal distribution curve for each.
Between $z=0$ and $z=2.06$

Treating a connecting wire as a conductor with zero resistance is an example of the
a. Ideal approximation
b. Second approximation
c. Higher approximation
d. Exact model

What is the area, and its approximate uncertainty, of a circle of radius $5.1 \times 10^4 \mathrm{~cm}$ ?

The density of a metal rod is given by the function $f(x)=\sqrt{10-x^{3}} \frac{\mathrm{kg}}{\mathrm{m}}$ for $0 \leq x \leq 2$ meters. What is the average density across the length of the rod? (A) 0.874, (B) 2.288, (C) 2.792, (D) 5.584.

Determine the percent uncertainty in $\theta$, and in $\sin \theta$, when $\theta=15.0^{\circ} \pm 0.5^{\circ}$

determine whether the set together with the binary operation is a semigroup, a monoid, or neither. If it is a monoid, specify the identity. If it is a semigroup or a monoid, determine if it is commutative. The nonzero real numbers, where $*$ is ordinary multiplication.

Use a graphing calculator to determine the interval over which the volume of the boxes made from the 12-inch-by-20-inch pieces of metal is larger than 100 cubic inches.

Find the area under the standard normal distribution for each.
To the right of $z=1.99$

A control rod made of yellow brass must not stretch more than 3 mm when the tension in the wire is 4 kN. Knowing that E = 105 GPa and that the maximum allowable normal stress is 180 MPa, determine (a) the smallest diameter rod that should be used, (b) the corresponding maximum length of the rod.

A group of polar bears is standing around the edge of a slowly rotating ice floe. If the bears all walk to the center, what happens to the rotation rate?

Rewrite the expression with positive exponents.

$$m^{-2}$$

The longer leg of a right triangle exceeds the shorter leg by $1$ inch, and the hypotenuse exceeds the longer leg by $7$ inches. Find the lengths of the legs. Round to the nearest tenth of a inch.

Multiple Choice The paths in a park are shown. Which of these routes represents the longest walk?
A $A$ to $B$ to $D$ B $A$ to $D$ to $B$ C $C$ to $B$ to $D$ D $C$ to $D$ to $B$

A spherical asteroid of average density would have a mass of $8.7 \times 10^{13} \mathrm{~kg}$ if its radius were $2.0 \mathrm{~km}$. Determine the orbital period of the binary star system described above.