There are 100 prize tickets in a bowl, numbered 1 to 100. What is the probability
that an even numbered prize ticket will be chosen at random, not replaced, then an
odd numbered prize ticket will be chosen? Does this represent an independent or
dependent event? Explain.

The polynomial remainder theorem states that the remainder of the division of a polynomial [tex]P(x)[/tex] by [tex]x-a[/tex] is equal to [tex]P(a)[/tex].

Therefore

[tex]P(-2)=4\\2\cdot(-2)^3 - 4\cdot(-2)^2 + k\cdot(-2) + 10=4\\-16-16-2k=-6\\-2k=26\\k=-13[/tex]

Answer:

Step-by-step explanation:

If the password for a certain safe is indicated by multiplying (x^2-16)/(x-1) with 1 / ((x ^ 2 + 6x + 8) / (x ^ 2 + 2x-3))

Simplify the expression in its lowest term first

[tex]= \dfrac{x^2-16}{x-1} * \dfrac{1}{\dfrac{x ^ 2 + 6x + 8}{x ^ 2 + 2x-3} } \\\\= \dfrac{x^2-16}{x-1} * }{\dfrac{x ^ 2 + 2x - 3}{x ^ 2 + 6x + 8} }\\\\= \dfrac{ (x+4)(x-4)}{x-1} * \dfrac{(x+3)(x-1)}{(x+4)(x+2)}\\\\= \dfrac{x-4}{1} * \dfrac{x+3}{x+2}\\[/tex]

If the value of x = 9, to get the numeric value of the password, we will substitute x = 9 into the resulting function as shown;

[tex]= \dfrac{x-4}{1} * \dfrac{x+3}{x+2}\\\\= \dfrac{9-4}{1} * \dfrac{9+3}{9+2}\\\\= \frac{5}{1} * \frac{12}{11}\\\\= \frac{60}{11}\\ \\= 5.455[/tex]

Hence the numeric value of the password is 5.455

Answer:

Cost of sandbox = $9,375

Step-by-step explanation:

Given:

Height of sandbox = 5 m

Length of sandbox = 50 m

Width of sandbox = 25 m

Cost of 1 cubic meter = $1.50

Find:

Cost of sandbox

Computation:

Volume of sandbox = (50)(25)(5)

Volume of sandbox = 6,250 m³

Cost of sandbox = 6,250 × $1.50

Cost of sandbox = $9,375

Answer:

43y

Step-by-step explanation:

31y+12y

combine like terms

Factor out y

y( 31+12)

y (43)

43y

Since we are dealing with two numbers with the same variable (y), all we need to do is combine like terms.

31y + 12y = 43y

Best of Luck!

Answer:

Stack A (12M) > Stack D (9M) > Stack E (8M) > Stack B (6M) and Stack C (6M)

Step-by-step explanation:

Stack A has [tex] 6M + 2M + 4M = 12M [/tex]

Stack B has [tex] 2M + 2M + 2M = 6M [/tex]

Stack C has [tex] M + 5M = 6M [/tex]

Stack D has [tex] M + 3M + 5M = 9M [/tex]

Stack E has [tex] 5M + 3M = 8M [/tex]

The total mass of each stack from the highest to the least can be ranked as follows:

Stack A (12M) > Stack D (9M) > Stack E (8M) > Stack B (6M) and Stack C (6M)

Answer:

the ansser is $12

Step-by-step explanation:

becases 10 *6 is equal  to 60 so if 1 person  can not pay then you divide 60 by the remaineing 5 to get 12

A group of 6 people planned to spend $10.00 each to rent a boat for an outing. Each person have to pay 12 dollars.

Unit means 'single entity', the fundamental constructing block. Usually, it is 1 in mathematics and science.

Thus, unit price of something is price of 1 thing.

Thus, suppose we're taking about price of mangoes, then unit price will denote the price of 1 mango.

A group of 6 people planned to spend $10.00 each to rent a boat for an outing. At the last minute, 1 person could not go on the outing.

10 x 6 = 60

So if 1 person can not pay then

We will divide 60 by the remaining 5

60/ 5 = 12

Therefore, Each person have to pay 12 dollars.

Learn more about unit price here:

https://brainly.com/question/945712

#SPJ2

Answer:

The roots of the equation, 3.1·x³ - 2.4·x²+ 6·x - 3 = 4·x² + 3·x + 2,  are;

x = 1.986, x = 0.0392 - 0.9·i, x = 0.0392 + 0.9·i

Step-by-step explanation:

The given equation is 3.1·x³ - 2.4·x²+ 6·x - 3 = 4·x² + 3·x + 2

Which gives;

3.1·x³ - 2.4·x²+ 6·x - 3 - 4·x² - 3·x - 2 = 0

3.1·x³ - 6.4·x²+ 3·x  - 5 = 0

Factorizing online, we get;

3.1·x³ - 6.4·x²+ 6·x + 3·x - 5 = 3.1·(x - 1.986)·(x² - 0.0784·x + 0.812) = 0

Therefore, the possible solutions are;

x - 1.986= 0 or x² - 0.0784·x + 0.812 = 0

The roots of the equation are x² - 0.0784·x + 0.812 = 0 are;

x = 0.0392 - 0.9·i, x = 0.0392 + 0.9·i

Therefore, the roots of the equation, 3.1·x³ - 2.4·x²+ 6·x - 3 = 4·x² + 3·x + 2,  are;

x = 1.986, x = 0.0392 - 0.9·i, x = 0.0392 + 0.9·i.

Answer:

10

Step-by-step explanation:

m + 2p

2 + 2(4)

= 2 + 8

= 10

Answer:

10

Step-by-step explanation:

m +2p;

let m = 2, and p = 4​

2+2*4

2+8

10

Answer:

10

Step-by-step explanation:

Square root of 100 is 10

Answer:

10

Step-by-step explanation:

The square root of 100 is written as 2√100=√100=±10.

So it is 10.  Also, 10 times 10 equals 100, so it checks out.

A square root is just two of the same numbers added together to equal a specific number.

Answer:

m = -9

Step-by-step explanation:

2m-10=44+8m

Subtract 2m from each side

2m-2m-10=44+8m-2m

-10 = 44+6m

Subtract 44 from each side

-10-44 = 44-44+6m

-54 = 6m

Divide by 6

-54/6 = 6m/6

-9 = m

Answer:

solve by solving the salvation for equation don't be a slave get educated from what's gave

Answer:

42.5 units²

Explenation:

The area of the square on the left is 5×5=25.

At the top you do 12-5=7 to find the length of the tringle.

Than it is 7×5=35 than this divided by two, so 17.5.

You add both areas 25+17.5=42.5

Answer:

42.5 square units

Step-by-step explanation:

Separate shape into a square and a triangle

Calculate the area of the square (5*5=25 square units)

Calculate the are of the triangle (7*5/2=35/2= 17.5 square units)

Add together (17.5+25=42.5 square units)

Answer:

(x + 9)(x - 8)

Step-by-step explanation:

f(x) = x^2 + x - 72

     = x^2 - 8x + 9x - 72

     = (x^2 - 8x) + (9x - 72)

     = x(x - 8) + 9(x - 8)

     = (x + 9)(x - 8)

Answer:

              x² + x - 72 = (x + 9)(x - 8)

Step-by-step explanation:

[tex]x^2+x-72\quad \implies\quad a=1\,,\quad b=1\,,\quad c=-72\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{-1\pm\sqrt{1^2-4\cdot1\cdot(-72)}}{2\cdot1}=\dfrac{-1\pm\sqrt{1+288}}{2}=\dfrac{17\pm\sqrt{289}}{2}\\\\x_1=\dfrac{-1-17}{2}=-9\quad,\qquad x_2=\dfrac{-1+17}{2}=8\\\\\\x^2+x-72=(x-(-9))(x-8)=(x+9)(x-8)[/tex]

or:

     x² + x - 72 =

= x² + 9x - 8x - 72 =

= x(x + 9) - 8(x + 9) =

= (x + 9)(x - 8)

Answer:

Step-by-step explanation:

Why?

Because if you multiplied any irrational number by 0 will be equal to 0 and 0 is rational number.

For example, 5.6371...... x 0 = 0

Answer:

2^3×3^2=6^5​  equation is wrong because

2×2×2×3×3=72

6^5=6×6×6×6×6=36×36×6=7776

the two numbers are not equal

Mate, I think your question is wrong ! ;(

[tex]Corrected \\ Question...\\[/tex] (2^3)^2*(3^2)^3=6^5

Answer:

(1) Variance = 4.5 and Standard deviation = 2.121.

(2) Variance = 4.5 and Standard deviation = 2.121.

(3) The effect on the measure of dispersion if each value is changed uniformly ​is that it remains unchanged.

Step-by-step explanation:

We are given with the following set of data below;

              X                     [tex]X-\bar X[/tex]                   [tex](X-\bar X)^{2}[/tex]

              5                   5 - 8 = -3                     9

              5                   5 - 8 = -3                     9

              8                   8 - 8 = 0                      0

             10                  10 - 8 = 2                     4

             10                  10 - 8 = 2                     4

             10                  10 - 8 = 2                     4

              9                   9 - 8 = 1                       1

              9                   9 - 8 = 1                       1

              6                  6 - 8 = -2                    4                

Total    72                                                   36      

Firstly, the mean of the above data is given by;

              Mean, [tex]\bar X[/tex]  =  [tex]\frac{\sum X}{n}[/tex]

                              =  [tex]\frac{72}{9}[/tex]  = 8

(1)Now, the variance of the given data is;

            Variance  =  [tex]\frac{\sum (X-\bar X)^{2} }{n-1}[/tex]

                                  =  [tex]\frac{36}{9-1}[/tex]  = 4.5

So, the standard deviation, (S.D.)  =  [tex]\sqrt{\text{Variance}}[/tex]

                                                        =  [tex]\sqrt{4.5}[/tex] = 2.12

(2) Now, each value is added by 2; so the new data set is given by;

              X                     [tex]X-\bar X[/tex]                   [tex](X-\bar X)^{2}[/tex]

              7                   7 - 10 = -3                     9

              7                   7 - 10 = -3                     9

             10                  10 - 10 = 0                     0

             12                  12 - 10 = 2                     4

             12                  12 - 10 = 2                     4

             12                  12 - 10 = 2                     4

              11                  11 - 10 = 1                       1

              11                  11 - 10 = 1                       1

              8                  8 - 10 = -2                    4                

Total    90                                                   36      

Firstly, the mean of the above data is given by;

              Mean, [tex]\bar X[/tex]  =  [tex]\frac{\sum X}{n}[/tex]

                              =  [tex]\frac{90}{9}[/tex]  = 10

(1)Now, the variance of the given data is;

            Variance  =  [tex]\frac{\sum (X-\bar X)^{2} }{n-1}[/tex]

                                  =  [tex]\frac{36}{9-1}[/tex]  = 4.5

So, the new standard deviation, (S.D.)  =  [tex]\sqrt{\text{Variance}}[/tex]

                                                                =  [tex]\sqrt{4.5}[/tex] = 2.12

(3) The effect on the measure of dispersion if each value is changed uniformly ​is that it remains unchanged as we see in the case of variance or standard deviation.

Answer:

Step-by-step explanation:

$66,200  - the median selling price of a home in 1985

and the price increased by 30%:

66,200•30% = 66,200•0.3 = 19,860

66,200 + 19,860 = 86,060

$86,060 - the median selling price of a home in 1990

and the price increased by 15%

86,060•15% = 86,060•0.15 = 12,909

86,060 + 12,909 = 98,969

$98,969  - the median house price in Atlanta in 2005

Answer:

[tex]b = 10[/tex]

Step-by-step explanation:

We can use the cross products property and solve for b.

[tex]\frac{5}{6} = \frac{b}{12}\\\\\\b=(12\cdot5)\div6\\b=60\div6\\b=10[/tex]

Hope this helped!

Answer:

The answer is b=10

Step-by-step explanation:

All you need to do is think 12/6 is what, the answer would be 2, then you would multiply the numerator by 2, which would be 5*2 which is 10.

Thank you, Hope this helps you.

Answer:

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question

The points are (9,-7) and (5, -4)

The distance between them is

[tex]d = \sqrt{ ({9 - 5})^{2} + ({ - 7 + 4})^{2} } \\ = \sqrt{ {4}^{2} + ({ - 3})^{2} } \\ = \sqrt{16 + 9} \\ = \sqrt{25} [/tex]

We have the final answer as

Hope this helps you

Answer:

£0.79 add £1.69 add £1.00 equals £ 3. 4 8

Take away £4.00 and change is 52p

Step-by-step explanation:

An equation is formed of two equal expressions. The change that Chris would receive is $0.52.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='. while an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given that Chris had $4 in cash. Also, he purchased coffee for $0.79, a bag of chips for $1.69 and a lottery ticket for $1.00. Therefore, the change he would receive is,

Change = Cash Chris has - Cost of coffee - Cost of chips - Cost of lottery

              = $4 - $0.79 - $1.69 - $1.00

              = $0.52

Hence, the change that Chris would receive is $0.52.

Learn more about Equation:

https://brainly.com/question/2263981

#SPJ2

Answer:

11/12

Step-by-step explanation:

The product of One-fourth times three and two-thirds will be 1 / 2.

Multiplication is the process of determining the product of two or more numbers in mathematics. A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics.

Given that, the numbers are one-fourth times three and two-thirds. The product of the numbers will be calculated as,

Product =  ( 1 / 4 ) x ( 3 ) x ( 2 / 3 )

Product = 6 / 12

Product = 1 / 2

Therefore, the product of One-fourth times three and two-thirds will be 1 / 2.

To know more about multiplication follow

brainly.com/question/10873737

#SPJ2

Answer:

its not 1, its the second one (B)

Step-by-step explanation:

Answer:

I know I'm 1 year late but B is the correct answer choice. I just did it on edge 2021.

Answer:

.83

Step-by-step explanation:

If you take 100 shows 60 shows got favorable response and in that 50 shows were successful.

So probability for a show to be successful if it got a favorable response is = 50/60 = 0.83

Answer:

Ty for the free points

Step-by-step explanation:

✊✊✊

Answer:

2

Step-by-step explanation:

Remember, a radical is the same thing as an exponent, but as a fraction. Therefore, instead of taking the 12th of the root, you can put [tex]8^4[/tex] to the 12th power like this: [tex](8^4)^{\frac{1}{12} }[/tex]

The two exponents can multiply together, so now it'll be [tex]8^{\frac{4}{12} }[/tex] which is [tex]8^{\frac{1}{3} }[/tex] when reduced

[tex]8^{\frac{1}{3} }[/tex] is the same thing as [tex]\sqrt[3]{8}[/tex]

Now, think about which number, when multiplied by itself 3 times is equal to 8... that number is 2--your answer

Answer:

2

Step-by-step explanation:

make it simple.. use a scientific calculator.

= ¹²√8⁴

= ¹²√4096

= 2

Answer:

x1 = 0.64575

x2 = -4.64574

Step-by-step explanation:

Step 1: We want to rearrange the equation so all the variables are on one side

0 = -x² - 4x + 3

Step 2: We take out -1 in the first 2 terms so a = 1

0 = -(x² + 4x) + 3

Step 3: Force a square, take the 'b' value and divide it by 2 and square the result. Add it and subtract it from the inside of the brackets

b = 4

4/2 = 2

2² = 4

0 = -(x² + 4x + 4 - 4) + 3

Step 4: Move the -4 out remembering to apply the -

= -(x² + 4x + 4) + 4 + 3

Step 5: We notice is inside the brackets is a perfect square

0 = -(x + 2)² + 7

Therefore the vertex form of the equation is

y = -(x + 2)² + 7

Step 6: We want to solve the equation (find the x intercepts) so we set y to 0 and solve for x

0 = -(x + 2)² + 7

-7 = -(x + 2)²

7 = (x + 2)²

[tex] \sqrt{7 } = x + 2 [/tex]

[tex]x = \sqrt{7} - 2[/tex]

1st Solution:

x = +2.64575 - 2

x = 0.64575

2nd Solution:

x = -2.64575 - 2

x = -4.64574

Answer:

  40

Step-by-step explanation:

Angles ABO, BAO, and AOB are the angles of isosceles triangle AOB. The angles at A and B are equal, so we have ...

  AOB +2ABO = 180° . . . . . sum of angles in the triangle

  100° +2ABO = 180° . . . . . . use the given value

  50° +ABO = 90°  . . . . . . . . divide by 2; next, subtract 50°

  ∠ABO = 40°

Answer:

c = 7

Step-by-step explanation:

ax^2 + bx + c = 0

3x^2 + 5x + 7 = 0

c = 7

Answer:

19 x 97 = 1843

Answer:

196 degrees

Step-by-step explanation:

360-164=196 degrees

the arch CDF=2*82=164

so the arch CGF =360-164=196 degrees

Answer:

Hey There!! The answer to this is: 32+10x-(21+12x) We are given that:

Amount MIkayla has in here piggy bank initially = $32

Money earned by Mikayla per week = $10

Money earned by Mikayla in x weeks = 10x

Total money MIkayla has after x weeks = 32+10x

Amount Jessica has in here piggy bank initially = $21

Money earned by Jessica per week = $12

Money earned by Jessica in x weeks = 12x

Total money Jessica has after x weeks = 21+12x

Comparing,

In order to compare, we subtract the money earned by Jessica from that earned by MIkalya,

The final expression would be:

32+10x-(21+12x

Hope It Helped!~ ♡

ItsNobody~ ☆

Answer:

1

4

5

Step-by-step explanation: