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3 years ago

5

In order to conduct a certain experiment, four students are randomly selected from a class of 20. how many different groups of f

our stdents are possible

1 answer:

chubhunter [2.5K]3 years ago

8 0

20x4=80
i am assuming this is correct this is how i learned just take all numbers in equation and multiply by each other

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Given the quadratic equation <img src="https://tex.z-dn.net/?f=y%20%3D%202%28x%20-1%29%5E%7B2%7D%20%2B%208" id="TexFormula1" tit

Sunny_sXe [5.5K]

Answer:

Part 1) "a" value is $2$

Part 2) The vertex is the point $(1,8)$

Part 3) The equation of the axis of symmetry is $x=1$

Part 4) The vertex is a minimum

Part 5) The quadratic equation in standard form is $y=2x^{2}-4x+10$

Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

$y=a(x-h)^{2}+k$

where

(h,k) is the vertex of the parabola

if a > 0 then the parabola open upward (vertex is a minimum)

if a < 0 then the parabola open downward (vertex is a maximum)

The equation of the axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex

so

$x=h$

In this problem we have

$y=2(x-1)^{2}+8$ -----> this is the equation in vertex form of a vertical parabola

The value of $a=2$

so

a>0 then the parabola open upward (vertex is a minimum)

The vertex is the point $(1,8)$

so

$(h,k)=(1,8)$

The equation of the axis of symmetry is $x=1$

The equation of a vertical parabola in standard form is equal to

$y=ax^{2}+bx+c$

Convert vertex form in standard form

$y=2(x-1)^{2}+8$

$y=2(x^{2}-2x+1)+8$

$y=2x^{2}-4x+2+8$

$y=2x^{2}-4x+10$

see the attached figure to better understand the problem

7 0

3 years ago

Distribute the expression.<br> 5(282-38+4)

kifflom [539]

Answer:

10s²-15s+20 is yr answer..

Step-by-step explanation:

5(2s²-3s+4)
10s²-15s+20

<h3>stay safe healthy and happy.</h3>

6 0

2 years ago

10,000 times 100,00 help please

katovenus [111]

Answer:1,000,000

Step-by-step explanation:THERE U GO :)

6 0

2 years ago

You buy tomatoes in 25-pound cases.

julsineya [31]

For a single 25 pound case you can make 133 servings, As a single pound of tomatoes equals 16 ounces; and 16x25 is 400, and when you divide that be 3 it turns into 133.3333333- and goes on, but you round that down to 133 for your answer.

6 0

3 years ago

The manager of a gas station has observed that the times required by drivers to fill their car's tank and pay are quite variable

maw [93]

Answer: 0.49

Step-by-step explanation:

The mean= E[x]=1/l= 7.5 min

l=1/7.5 =10/75=2/15

The exponential distribution's probability density function is looking like that:

F(x)= l*e^(-l*x) = 2/15*e^(-2*x/15)

P(0<x<5)= e^(-0*2/15)- e^(-5*2/15)=1- e^(-2/3)= approx 0.49

7 0

3 years ago