The following dot plots compare the height of the members of the basketball team and the swimming team.



Determine the mean, median, mode and range for the dot plot. Show your work.


(2pts) Mean:

(2pts) Median:

(1pt) Mode:

(2pts) Range/Spread:

Answer:

For [tex]x = -2[/tex]

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta = b^{2} - 4ac[/tex]

In this question:

[tex]f(x) = x^2 - 2x[/tex]

[tex]g(x) = 6x + 4[/tex]

[tex]f(x) + g(x) = (f+g)(x)  = x^2 - 2x + 6x + 4 = x^2 + 4x + 4[/tex]

Which is a value of x does (f+g)(x) =0

[tex]x^2 + 4x + 4[/tex]

Quadratic equation with [tex]a = 1, b = 4, c = 4[/tex]

So

[tex]\Delta = 4^{2} - 4*1*4 = 0[/tex]

[tex]x_{1} = \frac{-4 + \sqrt{0}}{2} = -2[/tex]

[tex]x_{2} = \frac{-4 - \sqrt{0}}{2} = -2[/tex]

For [tex]x = -2[/tex]

Step-by-step explanation:

[tex]y = 3 \csc( \frac{x}{5} ) [/tex]

[tex] \frac{y}{3} = \csc( \frac{x}{5} ) [/tex]

Multiply by 5 on both sides.

[tex]5 \times \frac{y}{3} = \csc(x) [/tex]

Take the inverse of cosecant or arccsc of the function.

[tex]5 \: arccsc( \frac{y}{3}) = x[/tex]

The trigonometric equation for​ x, where x is restricted to the given interval is x = 5 * arccsc(y/5)

Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given

y = 3 CSC(x/5) for x in given domain

y/ 3 = CSC  (x/5)

CSC(x/5) = y/3

x/5 = arccsc(y/3)

x =  5* arccsc(y/3)

Therefore, "x = 5 * arccsc(y/5)" is the trigonometric formula when x is limited to the specified range.

Learn more about trigonometry here:

https://brainly.com/question/12068045

#SPJ2

Answer:

0.125

Explanation:

0.5 x 0.5 x 0.5 = 0.125

Answer:

0.3

Step-by-step explanation:

to get the unit rate you must divided

2.40 by 8

2.40/8=0.3

Answer:

0.3

Step-by-step explanation:

in theory the chance to get heads is 0.5 however only two of the coin flips resulted in heads so the experimental probability is 0.2. the difference between these is 0.3.

Answer:

the correct answer is D because you have got 10flips with 2head the probability for it 2/10 or 0.02 and you know we don't always get the same result as always, and you wanna add some for the reason and you got 0.03 ( ◜‿◝ )♡

9514 1404 393

Answer:

  B.  negative trend

Step-by-step explanation:

The sign of the slope of the best-fit line is the sign of the "trend". A line that slopes downward has a negative slope. Such a best-fit line indicates a negative trend.

Answer:

Step-by-step explanation:

Answer:

The defendant has offered to make annual payments of $23,000, $29,000, $56,000, and $84,000 to you each year over the next four years,

Answer:

d = 5

Step-by-step explanation:

For:

(X1, Y1) = (2, 3)

(X2, Y2) = (2, 8)

Distance Equation Solution:

d=(2−2)2+(8−3)2−−−−−−−−−−−−−−−√

d=(0)2+(5)2−−−−−−−−−√

d=0+25−−−−−√

d=2–√5

d=5

Answer:

72 sq ft.

Step-by-step explanation:

Surface area of Triangular prism=[2*(1/2)*3*4]+(5*5)+(3*5)+(4*5)=12+25+15+20=72 sq ft.

Answer:

20

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

A: ay=sin(x +c)+d  I got a 100 on the test

Answer:

799.99999 or 800 miles.

Step-by-step explanation:

You first need to find the conversion rate, so you divide 500 by the number representing it on the map, that being 1.7 feet. Once you've done this, you will get a conversion rate of 294. Now that you have the conversion rate, you multiply your second number, 2.72. This will give you your answer of 799.68 miles, which can be rounded up to 800 miles.

Answer:

Your answer would be:

[tex]5 \sqrt{3} [/tex]

Step-by-step explanation:

because

Answer:

d. x2 – 2x – 4 = 0

Step-by-step explanation:

Answer:

acute, equilateral

Step-by-step explanation:

Answer:

Acute, equilateral

Step-by-step explanation:

Angle of 60 is acute and it is an equilateral triangle.

Answer:

6x-23+3m

6x+3m-27 we can't add them b/c they have d/t

variables so the answer is 6x+3m-27

9514 1404 393

Answer:

  8. CE

  9. b) no

  10. 22

Step-by-step explanation:

8. The smallest side is opposite the smallest angle (D=58°). The smallest side is CE.

__

9. The sum of the shortest sides must exceed the longest side.

  1 + 2 > 5 . . . . NOT TRUE -- no triangle can be formed

__

10. The possible lengths of the third side range between the difference and the sum of the given sides. If that length is x, then we must have ...

  15-8 < x < 15+8

  7 < x < 23

The largest integer value of x is 22. The third side can be at most 22.

Answer: What are the options?

What are the options?

Step-by-step explanation:

Answer:

x=-3y+12

Step-by-step explanation:

Yes.

Step-by-step explanation:

Since this circle is partial we will divide the area of the whole circle by 2

the area of a circle is expressed by [tex]\pi r^2[/tex] so insert 14 for the radius.

[tex]14^2\pi[/tex]

[tex]196\pi[/tex]

divide the area by 2

[tex]98\pi=307.876[/tex]

Hope that helps :)

Answer:

10:35 is the ratio

Step-by-step explanation:

2 x 5 = 10

7 x 5 = 35

Answer:

B

Step-by-step explanation:

i took the quiz have a nice day :)

Answer:

The correct answer is B

Step-by-step explanation:

2*2=4     2*6=12    2*6=12     4+12+12 = 28     28*2=56

Answer:

x = 225.16 feet

Step-by-step explanation:

Given that,

The angle between the piling and the pier is 60°.

A surveyor has set up his transit on one side of the lake 130 feet from a piling that is directly across from a pier on the other side of the lake.

We need to find the distance between the piling and the pier. Let the distance be d. Using the trigonometry to find it as follows :

[tex]\tan(60)=\dfrac{x}{130}\\\\x=\tan(60)\times 130\\\\x=225.16\ feet[/tex]

So, the required distance is 225.16 feet.

Answer:

Long = 6√3

Step-by-step explanation:

Reference angle = 30°

Hypotenuse = 12

Long = Adjacent = ?

Apply CAH:

Cos 30 = Adj/Hyp

Cos 30 = Long/12

12*cos 30 = Long

12*√3/2 = long (cos 30 = √3/2)

6√3 = long

Long = 6√3

Answer:

6√3

Step-by-step explanation:

To find the long leg first we have to find the short leg because to find the long leg we need to use short · √3.

hypotenuse =12, short = 1/2 of hypotenuse so short leg = 6 and finally long leg = 6√3

Answer:

ways of thinking,behaviour,perciption

Answer:

64 g

Step-by-step explanation:

Lets gather the Info

Amount needed = 161 g

Amount given = 97 g

Lets form an equation:

161 - 97 = x

x in this case is the number of grams needed to fulfill the amount needed.

161 - 97 = 64 g

He needs 64 g of cheese.

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-Chetan K