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natulia [17]
3 years ago
10

Nicole bought a bag containing assorted hard candies from the local corner store. They were on clearance and she got a good deal

. All the candies are the same size and shape but they are different colors and flavors. There are two blue ones, four red ones, six purple ones, fourteen green ones, and ten orange ones. If the bag is shaken really well to mix the candy in the bag, what is the probability ( as a fraction) that the first candy she pulls out of the bag will not be green?
Mathematics
1 answer:
Tresset [83]3 years ago
8 0

Answer:

P = \frac{1}{2}

Step-by-step explanation:

2 blue

4 red

6 purple

14 green

There are 26 candies overall.

\frac{2+4+6}{24} =

\frac{12}{24} =

\frac{1}{2}

The probability of her not pulling a green candy is \frac{1}{2} chance

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Solve x2+4x+6=0 by graphing
klemol [59]

Answer: x = -2±√2 i or no real roots. See the explanation below.

Step-by-step explanation:

If you draw the graph, you will notice that there are no common points or you can say that there are no x-intercepts.

This means that the equation doesn't have any real roots.

If there are 2 common points (2 x-intercepts) then there are 2 real roots (answers.)

If there is only one common point (vertex is on x-axis) then there is only 1 real root.

If there aren't any common points (no x-intercepts) then there are no real roots.

So first, I'm gonna convert the equation into function and convert the standard form to vertex form.

x^2+4x+6=0\\y=x^2+4x+6\\y=(x^2+4x+4)-4+6\\y=(x+2)^2+2

We notice that the vertex is at (-2,2), the graph doesn't have x-intercepts (Graph below)

So the answer is clearly complex.

If you solve this by solving the equation then it'll be.

x^2+4x+6=0\\x= \frac{-b+-\sqrt{b^2-4ac}}{2a} \\x=\frac{-4+-\sqrt{16-24} }{2}\\x=\frac{-4+-\sqrt{-8} }{2}\\\\x=\frac{-4+-2\sqrt{2}i }{2}\\\\x={-2+-1\sqrt{2}i }\\\\

The answer is complex.

However, you can find the value of x easily by graphing. For example.

x^2+6x+5=0

Factor then you get

(x+5)(x+1)=0\\x=-5,-1

Or you can convert it to vertex form then graph.

y=x^2+6x+5

y=(x^2+6x+9)-9+5\\y=(x+3)^2-4

The vertex is at (-3,-4) then graph parabola (x-intercepts determine the roots of quadratic equation. For the graph, parabola intercepts x at (-5,0) and (-1,0) that means both -5 and -1 both are the value of x.

Note:

From the standard form, y=ax^2+bx+c The graph is called Parabola, and it's Quadratic Function.

a is how the graph is, for example. If a>0, the graph is supine parabola and if a<0 then the graph is inverted parabola.

|a| is determined if the graph is wide or narrow, the more the value of a is, the more narrow it will be. The less the value of a is, the more wide it will be.

b is what determined the change of graph (likely vertex). Without b, then it'd be ax^2+k which only move y-axis and not x-axis.

c is what determined the y-intercept and y-axis. If there is no b or the value of b is 0 then the vertex is at (0,c). If there is the value of b then c is only determined the y-intercept.

4 0
3 years ago
14) At a school 5/8 of the teachers are male
Lady bird [3.3K]
If 5/8 of the teachers are males, there are 45 male teachers.

Subtract this value from 72 (i.e., find 3/8 of 72), and you will find that there are 27 female teachers.
8 0
2 years ago
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A definition for storm when it is used in this manner
artcher [175]
A severe type of weather 
3 0
3 years ago
What is 7 billion in standard form?
zimovet [89]
If by standard from you mean numbers (123) and not words then

1 milllion=1000 thousand or 1000*1000 or 1,000,000
1 billion=1000 million=1000*1000*1000=1,000,000,000
so 7billion=7*1000*1000*1000=7,000,000,000
4 0
3 years ago
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What is the solution for −40 = 10c? <br> A. c = 1 <br> B. C = -1 <br> C. c = -4 <br> D. c = 4
Aleks [24]

Answer:

C. c = -4

Step-by-step explanation:

you must get c by itself. you have to divide both sides by 10. this gets rid of the 10c and keeps both sides equal

-40/10 = c

c = -4

5 0
2 years ago
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