uppose a normal distribution has a mean of 16 and a standard deviation of 4. A value of 26 is how many standard deviations away from the mean

Answer:

  -1 ±4i

Step-by-step explanation:

The quadratic can be written in vertex form as ...

  x² +2x +17 = 0

  (x² +2x +1) +16 = 0 . . . . . . . . identify the part that can be a perfect square

  (x +1)² = -16 . . . . . . . . . . . . subtract 16

  x +1 = ±√(-16) = ±4i . . . . take the square root

  x = -1 ±4i . . . . . . . . . . . subtract 1

The roots of the equation are x = -1-4i and x = -1+4i.

_____

Additional comment

It can be worthwhile to remember the form of a perfect square trinomial:

  (x +a)² = x² +2ax +a²

If you know the coefficient of x, you can use half of it as the constant in each binomial factor.

In the above, we had 2a=2, so a=1 and a²=1. The constant 17 then is resolved into two parts: one part (1) is used to "complete the square" and the other part (16) is the y-coordinate of the vertex. It is used to find the "radical" portion of the roots.

The roots of the equation  [tex]x^2 + 2x + 17 = 0[/tex] are [tex]x = -1 +4i[/tex] and [tex]x = -1 - 4i[/tex].

To find the roots of the equation [tex]x^2 + 2x + 17 = 0[/tex] in simplest a + bi form, we can use the quadratic formula.

The quadratic formula states that for an equation in the form[tex]ax^2 + bx + c = 0[/tex], the roots can be found using the formula:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

We have a = 1, b = 2, and c = 17.

Substituting these values into the quadratic formula, we get:

[tex]x = \frac{-2 \pm \sqrt{4 - 68}}{2}[/tex]

[tex]x = \frac{-2 \pm \sqrt{-64}}{2}[/tex]

[tex]x = \frac{-2 \pm \sqrt{64i^2}}{2}[/tex]

[tex]x = \frac{-2 \pm 8i}{2}[/tex]

[tex]x = -1 \pm 4i[/tex]

So, [tex]x = -1 +4i[/tex] and [tex]x=-1-4i[/tex] are roots.

To learn more on Quadratic equation click:

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Answer:

A = 60

B:25

Step-by-step explanation:

A looks about 1/3 of a 180

B looks about 1/3 of A

Answer:

You can solve quadratic equations by completing the square. Completing the square involves creating a perfect square trinomial from the quadratic equation, and then solving that trinomial by taking its square root.

Step-by-step explanation:

Answer:

You can see below!

Step-by-step explanation:

Basically, a protractor is used to measure angles. You probably have a semi-circle shaped one. Looking at the bottom middle of the protractor should show you lines intersecting each other at a point. If you have an angle on a piece of paper, place that point on the ends of the line segments making up the angle. Then, check where each line of the angle crosses the numbers on the outer rim. That shows you the measure of the angle you are examining. It can be a bit tricky, but with practice you'll get it in no time!

the answer is y=1x because you have to use rise over run and the y intercept is 0.

Andre rode 1 mile in 8 minutes. In 2 minutes he will ride 16 minutes, we know this because he is riding at a constant speed. Now, lets turn this into an equation. Due to the fact that the speed is consent at 8 minutes a mile, with d being the distance in miles, we can say that y = 8d

Lets test this equation out:

y = 8d  1 minute

y = 8

y = 8d 2 minutes

y = 16

I hope this helps! :)

The approximate area of the hexagon is 48 square inches.

Given that the regular hexagon has a radius of 4 inches, to determine what is the approximate area of the hexagon the following calculation must be performed:

Therefore, the approximate area of the hexagon is 48 square inches.

Learn more about maths in https://brainly.com/question/18500585

Answer:

6420

Step-by-step explanation:

hope this helps

Answer:

I believe its 0.567 because its the decimal part of the whole number (i hope thats what you asked)

Answer:

567

967---------

1000

Step-by-step explanation:

multiply to remove 3 decimals

Answer:

The GCF of 3 and 9 is 3.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Third expression asks you to basically divide by zero. That is, find a number that multiplied by 0 gives you 3, which is impossible.

Hello!

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Option C

Division by 0 is undefined.

6-6=0, and any expression that has 0 it its denominator is undefined.

I hope it helps you! (:

~SparklingFlower

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Answer:

eh+gf/fh

Step-by-step explanation:

Answer:

x greater than or equal to 12cm^2

Step-by-step explanation:

Answer:

slope-intercept form. y = ＿ + ＿  阿ㄐ高

Step-by-step explanation:

Answer:

3.46x10-2

×

10

−

2

3.46

×

10

−

2

Explanation:

a number expressed in

standard form

is.

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

∣

∣

∣

2

2

a

×

10

n

2

2

∣

∣

∣

−−−−−−−−−−−−

where

1

≤

a

<

10

and n is an integer

express

0.0346

as a number between 1 and 10

3

∙

46

we now have to move the decimal point 2 places to

the left to retain equality

move to the right

→

then n is positive

move to the left ←

then n is negative

⇒

0.0346

=

3.46

×

10

−

2

Answer:

No, because if you do the vertical line test, the line will hit that two times, Therefore it is not a function.

Step-by-step explanation:

Answer:

A. y= -x^2 + 1

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  

(

0

,

1

)

Focus:  

(

0

,

3

4

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

5

4

x

y

−

2

−

3

−

1

0

0

1

1

0

2

−

3

________________________________

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

0

,

−

1

)

Focus:  

(

0

,

−

3

4

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

−

5

4

x

y

−

2

3

−

1

0

0

−

1

1

0

2

3

__________________

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

0

,

1

)

Focus:  

(

0

,

5

4

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

3

4

x

y

−

2

5

−

1

2

0

1

1

2

2

5

_________________

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  

(

0

,

−

1

)

Focus:  

(

0

,

−

5

4

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

−

3

4

x

y

−

2

−

5

−

1

−

2

0

−

1

1

−

2

2

−

5

Answer:

Its the Denominator.  Hope I helped please mark brainliest if you can and thanks! <3

Step-by-step explanation:

Answer:

21

Step-by-step explanation

OUI BONSEIUR

Answer:

O B. Exactly one

Step-by-step explanation:

The plane ABCD contatins the points ABCD. Three points create a plane, so if you add a fourth point, usually one plane will go through them.

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

for pysamid is ph+B2

hope it helps

Answer:

$47.60

Step-by-step explanation:

Answer:

$47

Step-by-step explanation:

Answer:

Perimeter is 18f+2

Step-by-step explanation:

Given : rectangle having width (7f-4) and length (2f+5)

To Find : Expression For Perimeter = ?

Solution : We know that, perimeter  of rectangle is 2(L+B)

-> 2(7f-4+2f+5)

-> 2(9f+1)

-> 18f + 2

I hope this helps.

(x - 10)² is the graph x² by translation of 10 units moved to the right.

Answer:

Raul

Step-by-step explanation:

Since 8 groups of building blocks has a smaller amount than 6 equal groups of building blocks, so Raul has more blocks in each group

i frist 1 1 2

Step-by-step explanation:

Y

Answer:

Step-by-step explanation:

i think for number 1 is growth and number 2 decay and for 3 growth...hope this helps!

Answer:

j = 727

Step-by-step explanation: