For a recent period of 100 years, there were 93 major earthquakes (at least 6.0 on the Richter scale) in the world (based on data from the World Almanac and Book of Facts). Assuming that the Poisson distribution is a suitable model, find the mean number of major earthquakes per year, then find the probability that the number of earthquakes in a randomly selected year is 7.

Which situation is a better match with the word "exploit"? A or B?

$f(x)=x^{3}-3 x+5$ Using a graphing utility, approximate the local maxima and local minima.

$x=0$ is a regular singular point of the given differential equation. Show that the indicial roots of the singularity do not differ by an integer. Use the method of Frobenius to obtain two linearly independent series solutions about $x=0$. Form the general solution on the interval $(0, \infty)$.

Find the characteristic of the given ring.

$$ℤ_3× ℤ_4$$

Graph the following functions by making a table of values. $f(x)=x^{5}-3 x^{4}+9 x^{3}-x^{2}+2$

Consider the following reaction :

$$2 \mathrm { Mg } ( s ) + \mathrm { O } _ { 2 } ( g ) \longrightarrow 2 \mathrm { MgO } ( s ) \ \Delta H = - 1204 \mathrm { kJ }$$

Calculate the amount of heat transferred when 3.55 g of Mg(s) reacts at constant pressure.

For a recent period of 100 years, there were 93 major earthquakes (at least 6.0 on the Richter scale) in the world (based on data from the World Almanac and Book of Facts). Assuming that the Poisson distribution is a suitable model, find the mean number of major earthquakes per year, then find the probability that the number of earthquakes in a randomly selected year is 2.

What are the three components of ATP?

Deduce that

$$\int _ { 0 } ^ { \pi / 6 } \cos \left( x ^ { 2 } \right) d x \geq \dfrac { 1 } { 2 }$$

How does the role of B cells in the immune response differ from that of helper T cells?

Use a calculator. Round to the nearest tenth of a degree. Given

$$\cos \theta = 0.4756$$

, find

$$\theta$$

.

Rectangle ABCD has a width of 8 yards and a length of 20 yards. Rectangle QRST, which is similar to rectangle ABCD, has a length of 40 yards. Find the scale factor of rectangle ABCD to rectangle QRST and the perimeter of each rectangle.

Find the absolute extrema of the function over the region R. (In each case, contains the boundaries.) f(x, y) = (2x - y)² R: The triangular region in the plane with vertices (2, 0), (0, 1), and (1, 2)