What is the measurement of an interior angle of a regular triangle

The value of x is Helllpp

rewona [7]

a.84

clickkkkk

lemme know if u need explanation

6 0

3 years ago

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A study was conducted to determine whether magnets were effective in treating pain. The values represent measurements of pain us

gregori [183]

Answer and Step-by-step explanation: The null and alternative hypothesis for this test are:

$H_{0}: s_{1}^{2} = s_{2}^{2}$

$H_{a}: s_{1}^{2} > s_{2}^{2}$

To test it, use F-test statistics and compare variances of each treatment.

Calculate F-value:

$F=\frac{s^{2}_{1}}{s^{2}_{2}}$

$F=\frac{1.26^{2}}{0.93^{2}}$

$F=\frac{1.5876}{0.8649}$

F = 1.8356

The <u>critical value of F</u> is given by a F-distribution table with:

degree of freedom (row): 20 - 1 = 19

degree of freedom (column): 20 - 1 = 19

And a significance level: α = 0.05

$F_{critical}$ = 2.2341

Comparing both values of F:

1.856 < 2.2341

i.e. F-value calculated is less than F-value of the table.

Therefore, failed to reject $H_{0}$ , meaning there is <u>no sufficient data to support the claim</u> that sham treatment have pain reductions which vary more than for those using magnets treatment.

4 0

2 years ago

use green's theorem to evaluate the line integral along the given positively oriented curve. c 9y3 dx − 9x3 dy, c is the circle

Rina8888 [55]

The line integral along the given positively oriented curve is -216π. Using green's theorem, the required value is calculated.

<h3>What is green's theorem?</h3>

The theorem states that,

$\int_CPdx+Qdy = \int\int_D(\frac{\partial Q}{\partial x} - \frac{\partial P}{\partial y})dx dy$

Where C is the curve.

<h3>Calculation:</h3>

The given line integral is

$\int_C9y^3dx-9x^3dy$

Where curve C is a circle x² + y² = 4;

Applying green's theorem,

P = 9y³; Q = -9x³

Then,

$\frac{\partial P}{\partial y} = \frac{\partial 9y^3}{\partial y} = 27y^2$

$\frac{\partial Q}{\partial x} = \frac{\partial -9x^3}{\partial x} = 27x^2$

$\int_C9y^3dx-9x^3dy = \int\int_D(-27x^2 - 27y^2)dx dy$

⇒ $-27\int\int_D(x^2 + y^2)dx dy$

Since it is given that the curve is a circle i.e., x² + y² = 2², then changing the limits as

0 ≤ r ≤ 2; and 0 ≤ θ ≤ 2π

Then the integral becomes

$-27\int\limits^{2\pi}_0\int\limits^2_0r^2. r dr d\theta$

⇒ $-27\int\limits^{2\pi}_0\int\limits^2_0 r^3dr d\theta$

⇒ $-27\int\limits^{2\pi}_0 (r^4/4)|_0^2 d\theta$

⇒ $-27\int\limits^{2\pi}_0 (16/4) d\theta$

⇒ $-108\int\limits^{2\pi}_0 d\theta$

⇒ $-108[2\pi - 0]$

⇒ -216π

Therefore, the required value is -216π.

Learn more about green's theorem here:

brainly.com/question/23265902

#SPJ4

3 0

1 year ago

Ive got a big maths test tomorrow ask me questions on fractions or percentages , formula , significant figures , Pythagoras anyt

podryga [215]

What 22/30 times 2/10

7 0

3 years ago

Factoring using GCF 15cd + 30c^2d^2

olchik [2.2K]

Answer:

15cd(1 + 2cd)

Step-by-step explanation:

greatest common factor is 15cd

$15cd*1 + 15cd*2cd\\= 15cd(1 + 2cd)$

8 0

1 year ago