Convert 315 degree to radian measure in terms of pi.

Jayvion Caldwell
2022-07-26
Answered

Convert 315 degree to radian measure in terms of pi.

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Osvaldo Crosby

Answered 2022-07-27
Author has **12** answers

We know that 360 is equivalent to pi

=1 is equivalent to $\frac{\pi}{360}$

$={315}^{\circ}$ is equivalent to $\frac{\pi}{360}\cdot 315$

$={315}^{\circ}=\frac{\pi}{360}\cdot 315\phantom{\rule{0ex}{0ex}}\Rightarrow {315}^{\circ}=\frac{7\pi}{8}$

=1 is equivalent to $\frac{\pi}{360}$

$={315}^{\circ}$ is equivalent to $\frac{\pi}{360}\cdot 315$

$={315}^{\circ}=\frac{\pi}{360}\cdot 315\phantom{\rule{0ex}{0ex}}\Rightarrow {315}^{\circ}=\frac{7\pi}{8}$

asked 2022-04-02

Subjects were classified according to which of three groups they were assigned. Group A received lots of praise. Group B received moderate praise. Group C received no praise for correct answers to math problems. Following the manipulation, all subjects completed a posttest measure of mathematical ability. Higher scores indicate greater mathematical ability.

Does praise influence performance?

$\begin{array}{|ccc|}\hline \text{Group A}& \text{Group B}& \text{Group C}\\ 7& 4& 3\\ 6& 6& 2\\ 5& 4& 1\\ 8& 7& 3\\ 3& 5& 4\\ 7& 7& 1\\ \hline\end{array}$

Identify the IV and the scale of measurement;

Identify the DV and the scale of measurement and for the IV – identify the number of levels;

Identify null and alternative hypotheses, are they directional or non-directional?

Assume that the distributions of the populations are approximately normal.

Does praise influence performance?

Identify the IV and the scale of measurement;

Identify the DV and the scale of measurement and for the IV – identify the number of levels;

Identify null and alternative hypotheses, are they directional or non-directional?

Assume that the distributions of the populations are approximately normal.

asked 2022-05-28

Let $X$ denote the set of equivalence classes of Lebesgue measurable subsets $A\subset [0,1]$ under the equivalence relation:

$A\sim B$ iff $\mu (A\mathrm{\Delta}B)=0$.

If $[A],[B]\in X$, set $d([A],[B])=\mu (A\mathrm{\Delta}B)$.

Now, how can we prove that (X, d) is a separable metric space?

It is straightforward to show that $d([A],[B])=\mu (A\mathrm{\Delta}B)$ induces a metric space, but how can we show there exists a countable subset of $X$ which is dense in $X$?

$A\sim B$ iff $\mu (A\mathrm{\Delta}B)=0$.

If $[A],[B]\in X$, set $d([A],[B])=\mu (A\mathrm{\Delta}B)$.

Now, how can we prove that (X, d) is a separable metric space?

It is straightforward to show that $d([A],[B])=\mu (A\mathrm{\Delta}B)$ induces a metric space, but how can we show there exists a countable subset of $X$ which is dense in $X$?

asked 2022-03-18

Classify the variables by the levels of measurement used. Explain your choice of the levels of measurement.

Variable / Level of Measurement Explanation

1. Household head

2. Sex

3. Age

4. Hours worked per week

5. Main type of work

6. Length of time at job

7. Years of secondary education

8. Examinations passed

9. Employment status

10. Income

Variable / Level of Measurement Explanation

1. Household head

2. Sex

3. Age

4. Hours worked per week

5. Main type of work

6. Length of time at job

7. Years of secondary education

8. Examinations passed

9. Employment status

10. Income

asked 2022-07-01

I'm trying to solve the following problem.

Let $f$ be an integrable function in (0,1). Suppose that

${\int}_{0}^{1}fg\ge 0$

for any non negative, continuous $g:(0,1)\to \mathbb{R}$. Prove that $f\ge 0$ a.e. in (0,1).

I'm a little unsure on what it is that I must prove in order to conclude that $f\ge 0$. I tried to show that ${\int}_{0}^{1}{f}^{2}\ge 0$ but I couldn't get very far.

I'm seeking hints on how to solve this. Thanks.

Let $f$ be an integrable function in (0,1). Suppose that

${\int}_{0}^{1}fg\ge 0$

for any non negative, continuous $g:(0,1)\to \mathbb{R}$. Prove that $f\ge 0$ a.e. in (0,1).

I'm a little unsure on what it is that I must prove in order to conclude that $f\ge 0$. I tried to show that ${\int}_{0}^{1}{f}^{2}\ge 0$ but I couldn't get very far.

I'm seeking hints on how to solve this. Thanks.

asked 2022-03-27

How correlation coefficient is Independent of Units of Measurement?

asked 2022-07-04

The purpose of this problem is that I want to prove that for any $\lambda $ integrable function f on a bounded closed interval [a,b] holds

$\underset{n\to \mathrm{\infty}}{lim}{\int}_{[a,b]}f(x)\mathrm{sin}(nx)d\lambda =0.$

I have submitted a proof below.

$\underset{n\to \mathrm{\infty}}{lim}{\int}_{[a,b]}f(x)\mathrm{sin}(nx)d\lambda =0.$

I have submitted a proof below.

asked 2022-05-24

I met an excercise in the book by Rabi Bhattacharya and Edward C. Waymire. Suppose that $\mu ,\nu $ are probbaility measures on ${\mathbb{R}}^{d}$, with $\nu $ absolutely continuous with pdf $f$, i.e., $d\nu =f(x)dx$. How to show that the convolution, $\mu \ast \nu $, is also absolutely continuous? Thanks!