A certain game consists of rolling a single fair die and pays off as follows: $10 for a 6, $7 for a 5, $4 for a 4, and no payoff otherwise,
Find the expected winnings for this game.
The expected winnings for this game are
(Round to the nearest hundredth.)
1
m
21
m
se
?
Enter your answer in the answer box.

Answer:

option D

Step-by-step explanation:

[tex]9x^2 + 6x - 17 = 0 , \ where \ a = 9 \ , \ b = 6 \ , c = - 17[/tex]

[tex]x = \frac{ - b \ \pm \sqrt{b^2 - 4ac}}{2a} \\\\x = \frac{-6 \pm \sqrt{36 - (4 \times 9 \times -17)}}{2 \times 9}\\\\x = \frac{-6 \pm \sqrt{ 36 + 612}}{18}\\\\x = \frac{-6 \pm \sqrt{ 648}}{18}\\\\x = \frac{-6 \pm \sqrt{ 2^3 \times 3^4}}{18}\\\\x = \frac{-6 \pm \sqrt{2 \times 2^2 \times 3^ 4 }}{18}\\\\x = \frac{-6 \pm ( 2 \times 9 )\sqrt{ 2}}{18}\\\\x = \frac{-6 \pm 18\sqrt{2}}{18}\\\\x = \frac{-1 \pm 3 \sqrt{ 2}}{3}[/tex]

Answer:

b) 0.5

c) 0.633

Step-by-step explanation:

a) Please find the attached image - tree diagram

b) b) The probability that A is in charge of the selected campaign and that it produces satisfactory results  = 2/3 * 3/4 = 1/2 = 0.5

c) P (selected campaign is satisfactory)

         = P(A's campaign and satisfactory) + P(B's campaign and satisfactory)

         = 2/3*3/4 + 1/3*2/5

         = 0.6333

Answer: Assuming pi is rounded off to 3.14, it is 219.8 feet; if not it is 70π feet

Circumference=one revoloution

Circumference=Diameter times pi

C=Dπ

C=3.14*70

=219.8

219.8 feet

Answer:

Here,

Step-by-step explanation:

1. Area = 78.57 cm²

2.Area = 32.18 cm²

3. Radius= diameter/2

so area = pi.r²

area = 78.57 cm²

Step-by-step explanation:

[tex] {7}^{2n + 1} \div 49 = {7}^{3} [/tex]

[tex] {7}^{2n + 1} \div {7}^{2} = {7}^{3} [/tex]

Answer:

Pythagorean Theorem

Question Answer

Find the width of a triangle that has a 15cm height and a hypotenuse of 19cm. 11.7cm

A helicopter rises straight up 300m then flies west 400m. How far is it from the beginning (if it travels in a straight line back)?

Answer:

(w² + 6)(w² - 6)

Step-by-step explanation:

difference of squares

w⁴ - 36 = (w² + 6)(w² - 6)

Answer:

3233.3333333333 days.

Step-by-step explanation:

Answer: 77,600 Hours = 3,233.3333 Days

Step-by-step explanation:

I don't know why there's a space between 77 and 600 so I put then together and I have no clue why there is an s in the beginning so I ignored it

Answer:

(26.2252 ; 27.3748)

Step-by-step explanation:

The confidence interval is given by :

x ± Margin of error

The margin of error = Zcritical * (σ/√(n))

σ = 7.5 ; n = 654

Zcritical = Zα/2 = 1.96

The margin of error = 1.96 * (7.5/√654) = 0.5748

The confidence interval :

Upper boundary = 26.8 + 0.5748 = 27.3748

Lower boundary = 26.8 - 0.5748 = 26.2252

(26.2252 ; 27.3748)

We are 95% confident that the mean BMI of the entire population will fall in between (26.2252 ; 27.3748)

Answer:

Step-by-step explanation:

[tex] \frac{3}{2} \div 5[/tex]

[tex] = \frac{3}{2} \times \frac{1}{5} [/tex]

[tex] = \frac{3}{10} [/tex]

= 0.3 (Ans)

Answer:

3/10

Step-by-step explanation:

3/2÷5

3/2÷5/1

3/2÷10/2 ( LCM of denominators)

3/2×2/10 ( Reciprocal of 10/2)

3/10 (Cancelling 2 by 2)

Answer:

Tips or taxes add money to a bill. This is the same as a markup. Markdowns are the same as discounts.Step-by-step explanation:

Answer:

[tex] \sqrt{113} [/tex]

Step-by-step explanation:

To find the distance between the two points, apply the distance formula given as:

[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Where,

[tex] (-4, -5) = (x_1, y_1) [/tex]

[tex] (4, 2) = (x_2, y_2) [/tex]

Plug in the values

[tex] d = \sqrt{(4 -(-4))^2 + (2 -(-5))^2} [/tex]

[tex] d = \sqrt{(8)^2 + (7)^2} [/tex]

[tex] d = \sqrt{64 + 49} [/tex]

[tex] d = \sqrt{113} [/tex]

The formula in finding the distance between two points is given below:

Now, you know the distance formula. So, let us try solving the given problem using the distance formula.

Problem: Determine the distance between (-4, -5) and (4, 2).

From inspection on the given problem:

Substitute the given values into the distance formula and solve for d:

Therefore, the distance between two points is [tex]\sqrt{113}[/tex] or 10.6 units.

[tex]\\[/tex]

Now, wasn't that easy? Try this sample problem:

From the sample problem above, you may solve it on your own to enhance your skill on calculating the distance.

For more information about the Distance Formula, just visit this link: https://brainly.com/question/18156437

Answer:

20 units

Step-by-step explanation:

We can see that triangle QRS and triangle VWS are similar triangles.

Similar triangles are triangles in which the ratio of their corresponding sides are in the same proportion.

V is the midpoint of QS.

VS = 2a, QS = 2 * VS = 2(2a) = 4a

Since both triangles are similar triangles, hence:

\begin{gathered}\frac{VS}{QS}=\frac{VW}{QR}\\\\\frac{2a}{4a} =\frac{2a-2}{3a+6} \\\\\frac{2a-2}{3a+6} =\frac{1}{2} \\\\2(2a-2)=3a+6\\\\4a-4=3a+6\\\\a=10\ units\\\\VS=2a=2(10)=20\ units\end{gathered}

QS

VS

=

QR

VW

4a

2a

=

3a+6

2a−2

3a+6

2a−2

=

2

1

2(2a−2)=3a+6

4a−4=3a+6

a=10 units

VS=2a=2(10)=20 units

ur wlcm♥️♥️

Answer:

20 UNITS

Step-by-step explanation:

EDG 2020

Answer:

No it is not fair how can two people win

Answer:

you have to solve for z, z = 6\root(5)(i), this to the power of 5 equals 77761

Step-by-step explanation:

While

Answer:

2/9

Step-by-step explanation:

7/9×18/63

Rewriting

7/63  * 18/9

1/9 * 2/1

2/9

[tex]\longrightarrow{\green{ \frac{2}{9}}}[/tex] 

[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]

✒[tex] \: \frac{7}{9 } \times \frac{18}{63} [/tex]

✒[tex] \: \frac{2}{9} [/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Step-by-step explanation:

x⁴(4x+1)

4x⁵+x⁴

degree is 5

Answer:

Step-by-step explanation:

If the roots are 7 and 3, then x = 7 and x = 3 are solutions. In factor form, x = 7 is (x - 7); in factor form, x = 3 is (x - 3). We FOIL these together to get

[tex]x^2-3x-7x+21[/tex] which simplifies to

[tex]x^2-10x+21[/tex] and we distribute in the 4:

[tex]4(x^2-10x+21)[/tex] to get

[tex]4x^2-40x+84[/tex] which is another way to write the last choice you're given.

Answer:

(a)

Mean

[tex]\bar x_1 = 31.375[/tex]

[tex]\bar x_2 = 41.75[/tex]

[tex]\bar x_3 = 53.00[/tex]

Standard deviation

[tex]\sigma_1 = 8.73[/tex]

[tex]\sigma_2 = 7.65[/tex]

[tex]\sigma_3 = 6.04[/tex]

(b) Yes, there is a difference in the mean

Step-by-step explanation:

Solving (a): The mean and standard deviation of each commercial

This is calculated as:

[tex]\bar x = \frac{\sum x}{n}[/tex]

For clothes:

[tex]\bar x_1 = \frac{43+24+42+35+28+31+17+31}{8}[/tex]

[tex]\bar x_1 = \frac{251}{8}[/tex]

[tex]\bar x_1 = 31.375[/tex]

For food:

[tex]\bar x_2 = \frac{30+38+46+54+47+42+34+43}{8}[/tex]

[tex]\bar x_2 = \frac{334}{8}[/tex]

[tex]\bar x_2 = 41.75[/tex]

For toys:

[tex]\bar x_3 = \frac{52+58+43+49+63+53+48+58}{8}[/tex]

[tex]\bar x_3 = \frac{424}{8}[/tex]

[tex]\bar x_3 = 53.00[/tex]

The sample standard deviation is:

[tex]\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}[/tex]

For clothes:

[tex]\sigma_1 = \sqrt{\frac{(43 - 31.375)^2 +.............+(31 - 31.375)^2}{8-1}}[/tex]

[tex]\sigma_1 = \sqrt{\frac{533.875}{7}[/tex]

[tex]\sigma_1 = \sqrt{76.2678571429}[/tex]

[tex]\sigma_1 = 8.73[/tex]

For food:

[tex]\sigma_2 = \sqrt{\frac{(30 - 41.75)^2 +............+(43 - 41.75)^2}{8-1}}[/tex]

[tex]\sigma_2 = \sqrt{\frac{409.5}{7}}[/tex]

[tex]\sigma_2 = \sqrt{58.5}[/tex]

[tex]\sigma_2 = 7.65[/tex]

For toys:

[tex]\sigma_3 = \sqrt{\frac{(52-53.00)^2+...................+(58-53.00)^2}{8}}[/tex]

[tex]\sigma_3 = \sqrt{\frac{292}{8}}[/tex]

[tex]\sigma_3 = \sqrt{36.5}[/tex]

[tex]\sigma_3 = 6.04[/tex]

Solving (b): Difference in mean in the commercials;

In (a), we have:

[tex]\bar x_1 = 31.375[/tex]

[tex]\bar x_2 = 41.75[/tex]

[tex]\bar x_3 = 53.00[/tex]

[tex]\bar x_1 \ne \bar x_2 \ne \bar x_3[/tex]

Hence, there is a difference in their means

Answer:

Olivia will make 209 cookies on 11 hours

Step-by-step explanation:

if she makes 95 per 5 hours

we can make

5 + 5 = 10

this is the same as doing

95 + 95 = 190

now, for the 1 hour

95 : 5 = 19

now to verify it

19 x 5 = 95

now you make

95 + 95 + 15 = 209

Oops, srry my bad, i fixed the thing i did wrong

Answer:

1 oz = $25

Step-by-step explanation:

Answer:

1 OZ= 25 cents.................. this is correct

Step-by-step explanation:

you multiple 16 times .25 which gets 4.00

let the number be b

62.5/100 x b = 25

0.625 x b = 25

b =25/0.625

b=40

half of b= 40/2 = 20

Answer:

1,0,-1,-2,-3,-3/10

Step-by-step explanation:

5/4 = 1.25

Therefore 6 rational numbers between - 4 and 5/4:

1,0,-1,-2,-3,-3/10

Answer:

Step-by-step explanation: