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4 years ago

Why do scientist use models?

Mathematics

2 answers:

Elina [12.6K]4 years ago

7 0

So they can record their info with a visual aspect

Tema [17]4 years ago

6 0

In science, a model is a representation of an idea, an object or even a process or a system that is used to describe and explain phenomena that cannot be experienced directly. Models are central to what scientists do, both in their research as well as when communicating their explanations.

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The two-way table shows the medal count for the top-performing countries in the 2012 Summer Olympics. A 5-column table has 5 row

LUCKY_DIMON [66]

Which statement is true?

The probability that a randomly selected silver medal was awarded to Great Britain is StartFraction 17 Over 99 EndFraction.
The probability that a randomly selected medal won by Russia was a bronze medal is StartFraction 32 Over 103 EndFraction.
The probability that a randomly selected gold medal was awarded to China is StartFraction 88 Over 137 EndFraction.
The probability that a randomly selected medal won by the United States was a silver medal is StartFraction 104 Over 339 EndFraction.

Answer:

(A)The probability that a randomly selected silver medal was awarded to Great Britain is 17/99.

Step-by-step explanation:

The table is given below:

$\left|\begin{array}{l|c|c|c|c|c} &Gold&Silver & Bronze &Total\\United States &46 & 29 & 29 & 104\\China & 38 & 27 & 23 & 88\\Russia & 24 & 26 & 32 &82\\Great Britain & 29 & 17 & 19 & 65\\&&&&&\\Total &137 & 99 & 103 & 339\end{array}\right$

We calculate the probabilities given in the statements.

(A) The probability that a randomly selected silver medal was awarded to Great Britain

= 17/99

(B)The probability that a randomly selected medal won by Russia was a bronze medal

=32/82

(C)The probability that a randomly selected gold medal was awarded to China

=38/137

(D)The probability that a randomly selected medal won by the United States was a silver medal

=29/104

We can see that only the first statement is true.

5 0

3 years ago

Read 2 more answers

Are the two triangles similar? Why or why not? PLZZZZZ HELP

Reil [10]

Answer:Yes, they are similar.

If two triangles are congruent then all corresponding sides as well as corresponding angles of one triangle are equal to those of other triangles. This can happen in four cases

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

You take a bite out of a

Luda [366]

To solve this problem you must follow the proccedure below:

a. Find the perimeter and area of the cracker remaining:

The perimeter of a quarter circle is:

P=(πr/2)+2r
P=(πx3 cm/2)+2(3 cm)
P=10.71 cm

The perimeter of the cracker remaining is:

Pt=3 cm+6 cm+3 cm+10.71 cm
Pt=22.71 cm

The area of a quarter circle is:

A=πr²/4
A=π(3 cm)²/4
A=7.06 cm²

The area ofof the cracker remaining is:

At=Area of a square-Area of quarter circle
At=L²-(πr²/4)
At=(6 cm)²-(π(3 cm)²/4)
At=28.93 cm²

b. About how many bites can you get from the entire cracker?

Number of bites=L²/(π(3 cm)²/4)
Number of bites=5

8 0

3 years ago

Find the volume v of the described solid s. the base of s is an elliptical region with boundary curve 4x2 + 9y2 = 36. cross-sect

Tasya [4]

$4x^2+9y^2=36\iff\dfrac{x^2}9+\dfrac{y^2}4=1$

defines an ellipse centered at $(0,0)$ with semi-major axis length 3 and semi-minor axis length 2. The semi-major axis lies on the $x$ -axis. So if cross sections are taken perpendicular to the $x$ -axis, any such triangular section will have a base that is determined by the vertical distance between the lower and upper halves of the ellipse. That is, any cross section taken at $x=x_0$ will have a base of length

$\dfrac{x^2}9+\dfrac{y^2}4=1\implies y=\pm\dfrac23\sqrt{9-x^2}$
$\implies \text{base}=\dfrac23\sqrt{9-{x_0}^2}-\left(-\dfrac23\sqrt{9-{x_0}^2}\right)=\dfrac43\sqrt{9-{x_0}^2}$

I've attached a graphic of what a sample section would look like.

Any such isosceles triangle will have a hypotenuse that occurs in a $\sqrt2:1$ ratio with either of the remaining legs. So if the hypotenuse is $\dfrac43\sqrt{9-{x_0}^2}$ , then either leg will have length $\dfrac4{3\sqrt2}\sqrt{9-{x_0}^2}$ .

Now the legs form a similar triangle with the height of the triangle, where the legs of the larger triangle section are the hypotenuses and the height is one of the legs. This means the height of the triangular section is $\dfrac4{3(\sqrt2)^2}\sqrt{9-{x_0}^2}=\dfrac23\sqrt{9-{x_0}^2}$ .

Finally, $x_0$ can be chosen from any value in $-3\le x_0\le3$ . We're now ready to set up the integral to find the volume of the solid. The volume is the sum of the infinitely many triangular sections' areas, which are

$\dfrac12\left(\dfrac43\sqrt{9-{x_0}^2}\right)\left(\dfrac23\sqrt{9-{x_0}^2}\right)=\dfrac49(9-{x_0}^2)$

and so the volume would be

$\displaystyle\int_{x=-3}^{x=3}\frac49(9-x^2)\,\mathrm dx$
$=\left(4x-\dfrac4{27}x^3\right)\bigg|_{x=-3}^{x=3}$
$=16$

6 0

3 years ago

The formula below used to convert a temperature in degrees Celsius, c, to a temperature in degrees Fahrenheit , F.

Bas_tet [7]

Answer:

59 degrees

Step-by-step explanation:

1.8(15)+32=59

4 0

3 years ago