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3 years ago

_______ the problem by formulating assumptions and recognise certain variables and their relations

Mathematics

1 answer:

patriot [66]3 years ago

7 0

Answer:

Research Hypothesis solves the problem by .....

Step-by-step explanation:

Research Hypothesis is a set of assumed statements, consisting certain variables & their relationships

The variables whose relationship are to be checked by hypothesis testing, are independent & dependent variables. The causal variable(s) are independent variables & the effected variable is the dependent variable.

Null Hypothesis : It is the hypothesis assuming no statistically significant relationship between independent & dependent variables
Alternate Hypothesis : It is the hypothesis assuming statistically significant relationship between independent & dependent variable

Example : To check the research question, of relationship between research variables, by formulating hypothesis assumed statement

Y = b0 + b1X ; where

Y = dependent variable, X = independent variable, b0 = autonomous, b1 = X intercept on Y

H0 : b1 = 0 {No significant relationship between X & Y}
H1 : b1 ≠ 0 {Significant relationship between X & Y}

This way : Research hypothesis solves the problem by - formulating hypothesis assumptions, which recognise the variables & their relations. At last, acceptance of null or alternate hypothesis gives the final research conclusion & interpretation

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Outline the process for inscribing a regular hexagon in a circle. Perform the construction in GeoGebra

mr_godi [17]

The following are the general steps to draw a hexagon inscribed in a circle:

First draw a circle with center A through B:

Then the intersection points will be vertex C and vertex D of the hexagon. Doing this for each vertex (from left to right) we will get the following:

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1 year ago

Find the coordinates if the midpoint of a line segment with endpoints (-3,4) and (7,9).

svetoff [14.1K]

Using the midpoint formula
$\frac{ x_{1}+ x_{2} }{2}, 
 \frac{ y_{1}+ y_{2} }{2}$
$\frac{-3+7}{2},
 \frac{4+9}{2}$
$\frac{4}{2},
 \frac{13}{2}$
$(2,6.5)$
So, your answer would be (2,6.5).

5 0

3 years ago

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What is the circumference of the base? A)37.23 B)40.80 C)43.96 D)52.34

Vilka [71]

Answer:

43.96 or c

Step-by-step explanation: formula is d times pi and that gives you c hope this helps god bless

3 0

3 years ago

A person stands 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 meters

In-s [12.5K]

Answer:

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

Step-by-step explanation:

Given that,

A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.

From Pythagorean Theorem,

(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+

Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.

∴y²= x²+10²

$\Rightarrow y=\sqrt{x^2+100}$

Differentiating with respect to t

$\frac{dy}{dt}=\frac{1}{2\sqrt{x^2+100}}. 2x\frac{dx}{dt}$

$\Rightarrow \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}. \frac{dx}{dt}$

Since the car driving towards the intersection at 13 m/s.

so, $\frac{dx}{dt}=-13$

$\therefore \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}.(-13)$

Now

$\therefore \frac{dy}{dt}|_{x=24}=\frac{24}{\sqrt{24^2+100}}.(-13)$

$=\frac{24\times (-13)}{\sqrt{676}}$

$=\frac{24\times (-13)}{26}$

= -12 m/s

Negative sign denotes the distance between the car and the person decrease.

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

8 0

3 years ago

WHOEVER ANSWERS CORRECTLY I WILL MARK BRAINLIEST!!

gizmo_the_mogwai [7]

Answer:

Area = 342 $cm^2$ , Perimeter = 22.79 cm

Step-by-step explanation:

First, divide the shape into 3:

An arc, a square, and a triangle.

Dimensions of shapes:

Arc:

Degree = 40°

Arms = 4 cm

Square:

All sides are 4 cm

Triangle:

base = 3 cm

height = 4 cm

hypotenuse = 5 cm

To get perimeter:

Arc length = $\frac{40}{360} * (2*\pi * (4))$ (4 is the arm length ) = 2.7925 cm

Arc arm = 4 cm

Square sides (only two are outside) = 2 * 4 = 8 cm

Triangle (only hypotenuse and base are outside) = 5 + 3 = 8 cm

So total perimeter is 2.7925 + 4 + 8 + 8 = 22.79cm

To get area:

Arc area (the pizza shape) = $\frac{40}{2\pi } * \pi * (4)^{2}$ (4 is the arm length) = 320 $cm^{2}$

Square area = side * side = 4 * 4 = 16 $cm^{2}$

Triangle = (1/2) * base* height = (1/2) * 3 * 4 = 6 $cm^{2}$

So total area is 320 + 16 + 6 = 342 $cm^2$

3 0

3 years ago

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