Find the distance between the points (2, 3) and (2,8).

Convert each measure into radians

mars1129 [50]

Answer: -240 = -4π / 3, 60 = π / 3, 270 = 3π / 2, 945 = 21π / 4, -30 = -π / 60, 195 = 13π / 12

Step-by-step explanation:

The formula for converting Degrees into Radians is Degrees * (π / 180) = Radians.

For -240, we have -240 * (π / 180) = -240π / 180 and simplifying gives us -4π / 3

60: 60 * (π / 180) = 60π / 180 = π/3

270: 270 * (π / 180) = 270π / 180 = 3π / 2

945: 945 * (π / 180) = 945π / 180 = 21π / 4

-30: -30 * (π / 180) = -30π / 180 = π / 60

195: 195 * (π / 180) = 195π / 180 = 13π / 12

5 0

2 years ago

A city government is considering raising the local income tax to pay for improvements to government facilities. A

MariettaO [177]

The results of the survey will most likely suffer from wording bias.

<h3>Wording Bias</h3>

The question asked in the survey contains certain characteristics that induce the respondent to think about the question asked in a negative way.

Thus, the word "wasteful" induces respondents to answer the question bearing in mind the negative criticism made by the questioner, which may influence the final answer.

Learn more about bias in brainly.com/question/1337465

4 0

2 years ago

Let us suppose we have data on the absorbency of paper towels that were produced by two different manufacturing processes. From

maksim [4K]

Answer:

The 95% CI for the difference of means is:

$-155.45 \leq \mu_1-\mu_2 \leq -44.55$

Step-by-step explanation:

The question is incomplete:

"Find a 95% confidence interval on the difference of the towels mean absorbency produced by the two processes. Assumed that the standard deviations are estimated from the data. Round to two decimals places."

Process 1:

- Sample size: 10

- Mean: 200

- S.D.: 15

Process 2:

- Sample size: 4

- Mean: 300

- S.D.: 50

The difference of the sample means is:

$M_d=M_1-M_2=200-300=-100$

The standard deviation can be estimated as:

$\sigma_d=\sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}\\\\\sigma_d=\sqrt{\frac{15^2}{10}+\frac{50^2}{4}} =\sqrt{22.5+625}=\sqrt{647.5}=25.45$

The degrees of freedom are:

$df=n_1+n_2-2=10+4-2=12$

The t-value for a 95% confidence interval and 12 degrees of freedom is t=±2.179.

Then, the confidence interval can be written as:

$M_d-t\cdot \sigma_d\leq \mu_1-\mu_2 \leq M_d+t\cdot \sigma_d\\\\-100-2.179*25.45\leq \mu_1-\mu_2 \leq -100+2.179*25.45\\\\-100-55.45 \leq \mu_1-\mu_2 \leq -100+55.45\\\\ -155.45 \leq \mu_1-\mu_2 \leq -44.55$

8 0

2 years ago

If p(x) = 2x^3 - 3x + 5, what is the remainder of p(x) divided by (x - 5)

Alenkinab [10]

The question is

if p(x)= 2x³-3x+5, what is the remainder of p(x) divided by (x-5)

We use the synthetic division to find the remainder,

x-5=0

x=5

Now, write the coefficients of polynomial.

5 | 2 0 -3 5

| ↓ 10 50 235

-------------------------------

2 10 47 | 240→ is the remainder.

Quotient= 2x²+10x+47

Remainder= 240

4 0

3 years ago

Read 2 more answers

The relationship between the length of one side of the Square, eggs, and the perimeter of the Square, why, can be represented in

oee [108]

Answer:

The points with coordinates (x, y) that are on the line of the equation of the line relationship between the side of a square, x and the perimeter, y include;

(1, 4), (2, 8), (3, 12) ....(n, 4·n).

Where n is a positive number.

Step-by-step explanation:

The formula to determine the length of the perimeter of a square is,

Length of the perimeter of a square = Length of a side of the square multiplied by 4.

That is Perimeter of square = Side of square × 4

The relationship between the length of one side of a square and the perimeter of the square can be represented by the equation

y = 4×d which is a straight line with a slope of 4 passing through the origin

Points o the line include

(1, 4), (2, 8), (3, 12), etc.

The x and y coordinates take the form

(x, 4·x)

5 0

2 years ago

Find the distance between the points (2, 3) and (2,8).​

Find the distance between the points (2, 3) and (2,8).