### For a test of $ho$: $p$ = $0.5$, the $z$ test statistic equals $1.74$. Find the $z$ test statistic equals $p$-value for $ha$: $p$ > $0.5$.

The purpose of this question is to find the $p$ value for $H_a$: $p$ > $0.5$ using the z-test statistics test. The $p$-value approach determines

### The base of $S$ is an elliptical region with boundary curve $9x^2+4y^2=36$. Cross-sections perpendicular to the $x-axis$ are isosceles right triangles with hypotenuse in the base. Find the volume of the Solid.

This question aims to find the volume of the solid whose base forms an elliptical region. The cross-section perpendicular to the $x-axis$ forms

### Find an explicit description of nul $A$ by listing vectors that span the null space.

begin{equation*} A = begin{bmatrix} 1 & 2 & 3 & -7 0 & 1 & 4 & -6 end{bmatrix} end{equation*} This problem aims to find the

### A $-10.0 nC$ point charge and a $+20.0 nC$ point charge are $15.0 cm$ apart on the $x-axis$. Find the following:

What is the electric potential at the point on the x-axis where the electric field is zero? What are the magnitude and direction of the electric

### Which of the following is the nth taylor polynomial tn(x) for f(x)=ln(1−x) based at b=0?

Find the smallest value of $n$ such that Taylor’s inequality guarantees that $|ln⁡(x) − ln⁡(1 − x)| < 0.01$ for all $x$ in the