solve for the roots in simplest form by completing the square

x^2-12x+20=0

Answer:

Step-by-step explanation:

From above-given information

Consider p to be the probability that the first coin comes up as head

Consider q to be the probability that the second coin comes up as tail.

Provided all tosses seems to be independent.

Then;

Let X represent no. of tosses, where X follows a geometric distribution with parameter;

p' = p(1-q) +q(1-p)

with probability mass function (pmf)

[tex]P(X = x) = ( 1 - p')^{x - 1} p'[/tex]

Thus, the mean (expected value) and the standard deviation can be computed as:

[tex]E(X) = \dfrac{1}{p'}[/tex]

[tex]\mathbf{E(X) = \dfrac{1}{p(1-q)+q(1-p)}}[/tex]

[tex]V(X) = \dfrac{1-p'}{(p')^2}[/tex]

[tex]\mathbf{V(X) = \dfrac{1-[p(1-q)+q(1-p)]}{[p(1-q)+q(1-p)]^2}}[/tex]

(b)

Suppose X represents that the first coin is head;

and Y represent the last toss

Therefore, the required probability is:

[tex]P(X|Y) = \dfrac{p(1-q)}{p'}[/tex]

[tex]P(X|Y) = \dfrac{p(1-q)}{p(1-q)+(1-p)q}[/tex]

Answer:

-4

Step-by-step explanation:

uts -4 I mean I don't have any explanation but yea. Tell me if it's wrong

Answer:

I think 9

Step-by-step explanation:

Answer:

I am probably wrong because I don't remember this but it might be 9 or 19

Step-by-step explanation:

4+2+2+1=9=9+9=18

Answer:

x = 4

Step-by-step explanation:

Given:

(√x + 2)(√x - 2) = 0

Required:

Find x

SOLUTION:

√x(√x - 2) + 2(√x - 2) = 0 (distributive property)

x - 2√x + 2√x - 4 = 0

x - 4 = 0

x - 4 + 4 = 0 + 4

x = 4

Answer:

9 is the composite number.

Step-by-step explanation:

A composite number is a positive integer that can be formed by multiplying two smaller positive integers.

Answer:

Step-by-step explanation:

y + 2= -1/2(x - 0)

y + 2 = -1/2x + 0

y = -1/2x - 2

-1/2x = -2

x = 4

Answer:

x=-4/11; y=-19/11

Step-by-step explanation:

Answer:

x = 4/11 ; y = 19/ 11

sorry i cant give you the explanation

i hope this will help u

pls add me as bainliest

Step-by-step explanation:

Answer:

C.) One mile

Step-by-step explanation:

9/10 ain less than 1/4

9/10 is wayyy more than 1/2

9/10 ain even one mile so how could it be more than a mile?

Answer:

36 cm

Step-by-step explanation:

Answer:

[tex]8.3125[/tex]pounds

Step-by-step explanation:

We are given that

Density of ethyl acetate at 25 degrees =[tex]0.902g/ml[/tex]

We have to find the number of pounds in 133 ounces weigh.

To find the number of pounds in 133 ounces we will use unitary method

By using unitary method

We know that

1 ounce=0.0625 pounds

133 ounce=[tex]133\times 0.0625[/tex]pounds

133 ounce=[tex]8.3125[/tex]pounds

Hence,8.3125 pounds would 133 ounces weigh.

Answer:

1 : 4

Step-by-step explanation:

9514 1404 393

Answer:

  3

Step-by-step explanation:

The angle bisector BD makes left-side segments proportional to right-side segments. We see that CD is half of CB, so we expect the same proportion between AD and AB.

  AD/AB = CD/CB

  x/6 = 4/8 = 1/2 . . . . fill in the values, simplify the fraction

  x = 6(1/2) . . . . . . . . multiply by 6

  x = 3

Answer:

10.44 feet

Step-by-step explanation:

You need to use the Pythagorean Theorem twice.  

First we have to find the diagonal for the base.

6²+8²=x²

36+64=x²

100=x²

√100=x

x=10

Now we can find d.

10²+3²=x²

100+9=x²

109=x²

√109=x

x=10.44 feet

Answer:

480 u have to multiply

Step-by-step explanation:

Answer:

-5/7

Step-by-step explanation:

With the equation y = mx + b, m is the slope of the line.

Since the equation is y = -5/7x - 1, m is -5/7

So, the slope of the line is -5/7

Answer:

m = -5/7

slope = -5/7

Step-by-step explanation:

Use y = mx + b to find the slope m.

Answer:

10y

Step-by-step explanation:

Answer:

b = [tex]\frac{3ab - a - 2}{2}[/tex]

Step-by-step explanation:

We have an algebraic expression and are asked to solve for b.

a(3b - 1) = 2b + 2

To solve we need to isolate b :

Distribute :

(a(3b) - a(1)) = 2b + 2

3ab - a = 2b + 2

2b + 2 = 3ab - a

Subtract 2 from both sides :

2b = 3ab - a - 2

Divide 2 from both sides :

b = [tex]\frac{3ab - a - 2}{2}[/tex]

Answer:

b = 2+a/ 3a-2

Step-by-step explanation:

Answer:

5000

Step-by-step explanation:

Answer:

5000 thx!

Step-by-step explanation:

Step-by-step explanations:

Since the domain is a set of all real numbers, all the expression are with respect to real numbers.

a. 3 x,y : x/y < 1 ∧ y/x < 1

b. ∀x > 0, 1/x > 0

c. 3 x,y : x + y = xy

d. ∀x > 0 ∧ y > 0, x/y > 0 ∧ y/x > 0.

3 means "there exists"

∀ means "for every value of"

∧ means "and"

Answer:

3562.6 m³

Step-by-step explanation:

In this question, we have to find the volume of a cylinder.

The formula to find the volume of a cylinder is V = πr²h

Plug in your values and solve.

Solve:

V = π(9)²(14)

V = π(81)(14)

V = π(1,134)

V = 3562.566069

Round to the nearest tenths place.

V = 3562.6

Don't forget that the units for volume is already cubed, or to the power of 3.

Your final answer would be 3562.6 m³

9514 1404 393

Explanation:

Obviously, the way you use trig ratios will depend on the problem. The problems you see in algebra and trig courses are a good sampling of the kinds of problems you run across in the real world. Some of them include ...

  finding height or widths based on a measure and an angle (SOH CAH TOA)

  finding areas based on side lengths and an angle (area formula)

  finding unknown sides or angles of a triangle (law of sines/cosines)

  finding bearing and/or distance (spherical trig relations, law of cosines)

__

As with solving problems of any kind, you choose the appropriate formula(s), fill in the known values, and solve for the unknown values. Sometimes a real-world problem will require solution of intermediate problems before the answer to the original question is found.

Answer

x < - 3

Explanation

X is a number less than 3

Answer:

27.199918 cm2

Step-by-step explanation:

Hope this helps

Answer:

3/5

Step-by-step explanation:

To have the best chance of pulling a pair with the same color you should try to get a pair of black socks. There is a 3/5 chance of pulling a black sock so this means for every 5 socks you pull you get 3 black socks or 2 navy socks. Either way you will get a pair of socks with the same color. (Double check to make sure I'm correct)

The least number of socks that you have to take out of the drawer to be certain that you have a pair of the same color is 5 and the color is black and this can be determined by using the given data.

Given :

There are 18 black socks and 12 Navy socks in your drawer the room is dark and you cannot turn on the light.

The following steps can be used in order to determine the least number of socks that you have to take out of the drawer:

Step 1 - According to the given data, the total number of black socks is 18 and the total number of Navy socks is 12.

Step 2 - The probability that the socks come out is black socks is given below:

[tex]\rm P_b = \dfrac{18}{12+18}[/tex]

[tex]\rm P_b = \dfrac{18}{30}=\dfrac{3}{5}[/tex]

Step 3 - The probability that the socks come out is navy socks is given below:

[tex]\rm P_n = \dfrac{12}{12+18}[/tex]

[tex]\rm P_n=\dfrac{12}{30}=\dfrac{2}{5}[/tex]

Step 4 - Compare both the probability.

[tex]\rm P_b>P_n[/tex]

So, the least number of socks that you have to take out of the drawer to be certain that you have a pair of the same color is 5 and the color is black.

For more information, refer to the link given below:

https://brainly.com/question/795909

Answer:

im not sure i understand the question

Step-by-step explanation:

80.50 plus........plus what?

i am confusion