Hal and Renee play the following game: A bag has 14 tiles in it, , each with a letter from the phrase the probability on it. Hal and Renee take turns drawing a tile, recording the letter, and placing the tile back in the bag. Renee earns a point if she draws a vowel. Hal earns a point if he draws a consonant. They decide that the letter y can be a vowel or a consonant. Which statement best explains whether or not the game is fair?

A) The game is fair because both Hal and Renee will get a point if the letter y is drawn.

B) The game is not fair because the probability of Hal drawing a winning letter is more than the probability of Renee drawing a winning letter.

C) The game is fair because Hal and Renee have the same probability of drawing a winning letter.

D) The game is not fair because the probability of Hal drawing a winning letter is less than the probability of Renee drawing a winning letter.

(SOMEONE PLEASE HELP ME)

Answers

Answer 1

Answer:

B

Step-by-step explanation:

There are more consonants in the phrase than vowels so Hal has a better chance of pulling a winning letter. Also, before any tiles have been drawn, Hal has a 9/14 chance of pulling a winning tile while Renee has a 5/14 chance.

Answer 2

Option B is correct.

As given the bag has 14 tiles, each with a letter from the phrase the probability on it.

What is probability?

Probability is nothing but the ratio of number of favorable outcome and total number of outcomes.

Now,

As we know a phrase always consist of vowels and consonants and the number of consonants is always greater than vowels.

Therefore, Hal has better chance of pulling a willing letter. Also before any tiles have been drawn, so Hal has a 9/14 chance of pulling a winning tile while Renee has a 5/14 chance.

Hence, option B is the correct option.

To learn more about probability visit: https://brainly.in/question/20635873#

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Related Questions

What is the area of this figure?

Answers

9514 1404 393

Answer:

  288 cm²

Step-by-step explanation:

The figure decomposes into two rectangles and a triangle.

It is helpful to realize the overall horizontal length of the figure is 16+10+6 = 32 cm. That means the triangle at lower left has a width of 32-13 = 19 cm. Of course the bottom rectangle has a width of 10+6 = 16 cm.

The upper rectangle has an area of ...

  A = LW = (6 cm)(4 cm) = 24 cm²

The lower rectangle has an area of ...

  A = LW = (16 cm)(7 cm) = 112 cm²

The triangle has an area of ...

  A = 1/2bh = 1/2(19 cm)(16 cm) = 152 cm²

__

Then the total area of the figure is ...

  24 cm² +112 cm² +152 cm² = 288 cm²

find two numbers whos diffrence is 16 and the product is 720

Answers

Answer:

the numbers who's difference is 16 and the product is 720 is

36 &20

Explanation:

to finding numbers you have to express the equation in a quadratic equation then Factor it.

since the two numbers have a difference of 16 you can say that the first number is x and the second number is x -16 then their product is 720.

x(x-16)=720

x²-16x=720

x²-16x-720=0

(x-36)(x+20)

there are two possible value of x but since you are looking for the positive value of x, choose the positive value of x the first number is 20.

To find the second number

x-16=20

x=20+16

x=36

the second number is 36

Now to check

36-20=16

20*36=720

8% of _ Days is 4 days

Answers

Answer:

50

Step-by-step explanation:

can you help me with this​

Answers

Answer:

x = 18

Step-by-step explanation:

Sum of exterior angles of any polygon = 360

2x + 2x + 3x + 4x + 4x + 5x = 360

20x = 360    {Divide both sides by 20}

x = 360/20

x = 18

What is the 70th term in the sequence? 4, 8, 12, 16...​

Answers

Answer:

276

Step-by-step explanation:

that's the correct answer

Answer:<3

Step-by-step explanation: 280 is right on acellus

Lin’s needs 192 cupcakes each baking sheet can make 16 cupcakes how many sheets are needed to make all cupcakes

Answers

Answer:

Lin's needs 12 sheets to make all cupcakes.

Step-by-step explanation:

To find the answer we will divide 192 by 16, and we get 12.  Therefore, 12 is our answer.

Answer: I think the answer is 12 I'm sorry if its wrong

Priscilla makes a profit of $24.50 on every scarf she sells the materials for each scarf cost $8.39 how much does Priscilla sell each scarf for?

Answers

Answer:

SP = $32.89

Step-by-step explanation:

Given that,

CP of every scarf = $8.39

Profit = $24.50

We need to find the SP for each scarf. We can find it as follows :

SP = CP +profit

SP = 8.39+24.50

SP = $32.89

So, Priscilla sells each scarf for $32.89.

Mariah and Caitlyn are moving a sofa for their teacher. If the sofa weighs 350 kg, how fast did the sofa accelerate if a 48 N force was applied?

Answers

Answer:

[tex]7.291(6)\frac{m}{s^2}[/tex]

Step-by-step explanation:

Firstly, there's definitely large friction with a sofa, so we cannot answer.

Assming there is no friction:

The acceleration is directly proportional to force and inversely proportional to mass (makes sense, right?)

[tex]a = \frac{F}{m}\\a = \frac{350kg}{48N} = \frac{350kg}{48\frac{kg\cdot m}{s^2}} = \frac{350}{48}\frac{m}{s^2} = 7.29166666\ldots\frac{m}{s^2}[/tex]

What is (x2 + 9x+ 18) / (x+6)

Answers

Answer:

x+3

Step-by-step explanation:

[tex]\huge{\mathbb{\tt {ANSWER↓}}}[/tex]

Factor the numerator and denominator and cancel the common factors.

[tex]\color{green}{\tt {x+3}}[/tex]

[tex]\huge{{\tt { STEPS↓}}}[/tex]

[tex] {x}^{2} + 9x \: + 18 \\ x + 6[/tex]

[tex]\color{red}{\tt { FACTOR \: x² + 9x +18: ( x+3)(x+6)}}[/tex]

[tex]\color{purple}{\tt { (x+3)(x+6)}}[/tex]

[tex]\color{purple}{\tt { x+6}}[/tex]

[tex]\color{black}{\tt{Cancel \: the \: common \: factor:}} \: \color{blue}{\tt( x+6)}[/tex]

[tex]\color{green}{\tt{ x+3}}[/tex]

#CarryOnLearning

#LetsEnjoyTheSummer

→XxKim02xX

Apply the elimination method to solve the system of equations 2x+6y=8 and 3x+2y=2 which three statements are correct

Answers

Answer: x= -2/7, y = 10/7

Step-by-step explanation: 1) 2x +6y = 8 and 2) 3x + 2y = 2

Multiply equation 2) by -3 and you get -9x -6y = -6.

Add together and sum is -7x = 2 and x= -2/7 then insert to eat, 2) value of x:

3·(-2/7) +2y = 2 and 2y = 2+ 6/7 2y = 20/7 and y = 10/7

jennifer got a box of chocolates the box is a rectangular prism the measurments are 3in x 4in x 5in what is the surface area of the box of chocolates

Answers

Answer:

90

Step-by-step explanation:

What is the value of v? (help no links and thx)

Answers

Answer:

74.7

Step-by-step explanation:

Please help me!! I don’t get this!

Answers

Answer:

2. d) (x-1)²+(y+5)²=128

3.c) (x-3)²+(y+2)²=841

Step-by-step explanation:

Phyllis snow borrowed 3200 to pay for a new roof. She signed a 6-month promissory note at 12% interest. find the amount

Answers

Kwolalaakaakksjkskskkzkajajsusjssisisjwkwkskskksksksjdjjeieeiieiiieisis

Find the center and radius of the circle defined by the equation given below. x ^ 2 + 2x + y ^ 2 + 10y = 15?

Answers

Answer:

Step-by-step explanation:

Remark

Complete the square for x and for y.

complete for x

x^2 + 2x + (2/2)^2

(x + 1)^2

Complete square for y

y^2 + 10y + (10/2)^2

(y + 5)^2

Now put these two together

(x + 1)^2 + (y + 5)^2 = 15 + (10/2)^2 + (2/2)^2

(x + 1)^2 + (y + 5)^2 = 15 + 25 + 1

(x + 1)^2 + (y + 5)^2 = 41

Answer

Center: (-1,-5)

radius: (sqrt(41) = 6.403

Ther *must* be an faster way of symplifying this expression. What could I have done differently?​

Answers

Answer:

3x4

Step-by-step explanation:

You're gonna want to simplify that equation. We see the three and the four. Multiply that to get x^12

Violet will make a total of 58 semiannual loan payments of $1220 dollars each. If her bank charges an annual interest rate of 3.4% compounded semiannually, how much will the loan balance be 3 years from the end the loan?​

Answers

9514 1404 393

Answer:

  $6903.47

Step-by-step explanation:

The principal due when there are 6 payments left can be found from the amortization formula.

  A = P(r/n)/(1 -(1 +r/n)^(-nt))

where principal P is earning annual interest r compounded n times per year for t years. A is the payment in each of the n time periods.

Using the given information, you have ...

  $1220 = P(0.034/2)/(1 -(1 +0.034/2)^(-2(3))) = 0.1767226P

Then the principal P due at the time of interest is ...

  P = $1220/0.1757226 ≈ $6903.47

The balance 3 years from the end of the loan is $6903.47.

it takes 2 days to repair 150 meters of road. at this rate, how many days will it take to repair 6 kilometers of road?

Answers

Answer:

4 ndays

Step-by-step explanation:

Which of the following is closest to the volume of the cone? Use n=3.14.
904 cubic feet
21,704 cubic feet
5426 cubic feet
16,278 cubic feet

Answers

Answer:

B. 21,704 cubic feet

Step-by-step explanation:

Hope this helped

Simplify the expression completely:
(x^2*y^7)^5

Answers

Answer:

x10

y35

or

xxxxxxxxxx yyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy

Step-by-step explanation:

The Smiths are moving across the country. Mr. Smith leaves 5 hours before Mrs. Smith. If he averages 75mph and she averages 95mph, how many hours will it take Mrs. Smith to catch up to Mr. Smith?

Answers

Answer:

How much of a head start in miles did Mr. Smith have?

+d%5B1%5D+=+60%2A4+

+d%5B1%5D+=+240+ mi

------------------

Start a stopwatch when Mrs. Smith leaves. Let +t+

= the time on the stopwatch in hrs when Mrs. Smith

catches up with Mr. Smith.

Let +d+ = the distance in miles that Mrs. Smith

travels until she overtakes Mr. Smith

------------------

Mr. Smith's equation:

(1) +d+-+240+=+60t+

Mrs. Smith's equation:

(2) +d+=+80t+

-------------------

Substitute (2) into (1)

(1) +80t+-+240+=+60t+

(1) +20t+=+240+

(1) +t+=+12+

Mrs. Smith overtakes Mr. Smith in 12 hrs

-------------------

check:

(2) +d+=+80t+

(2) +d+=+80%2A12+

(2) +d+=+960+ mi

and

(1) +d+-+240+=+60t+

(1) +d+-+240+=+60%2A12+

(1) +d+=+240+%2B+720+

(1) +d+=+960+ mi

Classify the triangle

Answers

Answer:

This triangle is an isosceles acute

Step-by-step explanation:

First lets define each classification

scalene - no equal sides

isosceles - two equal sides

equilateral - all equal sides

acute - all angles have a measure of less than 90 degrees

right - has a right angle (90 degree angle)

obtuse - has an angle that has a measure of more than 90 degrees

Now lets classify

The triangle has two equal sides (indicated by the little line on the top and bottom side) therefore it is an isosceles triangle

We know its an acute triangle because the one angle given is not a right angle nor a obtuse angle meaning that the other two angles are going to have  a measure of less than 90 degrees

So we can conclude that this is an isosceles acute triangle

If 12% of x is 72 and 1/8 of y is 16 what is the value of x-y

Answers

Answer:

x is 600 and y is 128:

so the answer is 472!

TJ invested $4000 in a bond at a yearly rate of 2% for 30
months. How much interest did she make?

Answers

Answer:

2.5 years

Step-by-step explanation:

I = 200     T=200/4000 0.2  = 2.5 years

P= 4000

R = 2%  0.2

T = ?  

Помагите даю оччен много баллов ​

Answers

Answer:

2. 4.46

3. 12

Step-by-step explanation:

2. D = [tex]\frac{P}{\pi }[/tex] = [tex]\frac{14}{3.14}[/tex] = 4.458 = 4.46

3.  [tex]\frac{4}{5} = \frac{x}{15}[/tex]

5 * x = 4 * 15

5x = 60

x = [tex]\frac{60}{5}[/tex] = 12

Question 7 of 10
What is 7C4?
A. 10
B. 14
C. 28
D. 35
SUBMIT

Answers

Answer:

35

Step-by-step explanation:

7!/ 4! 3! = (7 ·6 ·5) ÷ (3 · 2) = 7x5 = 35

Explain,why is having no free time a bad thing?​

Answers

Answer:

because it helps you feel happieness and your not feeling it

Step-by-step explanation:

Because if your constantly doing something with no breaks it can cause stress and lack of sleep.

Johnson and Leone (Statistics and Experimental Design in Engineering and the Physical Sciences, John Wiley, 1977) describe an experiment conducted to investigate warping of copper plates. The two factors studied were temperature and the copper content of the plates. The response variable is the amount of warping. Some of the data are as follows:_____.
40 100 Temperature (°C) 50 75 100 Copper Content (%) 60 80 16, 21 24, 22 18, 13 17, 12 18, 21 25, 23 23, 21 23, 22 17, 20 12,9 16, 12 21, 17 28, 27 27,31 30, 23 125 29, 31
Do a complete analysis. Your analysis should include the following 1. What are the factors, respective factor levels and the response variable? 2. Check the two assumptions. 3. Check overall model significance using ANOVA table 4. Check the significance of Interaction effect and Main effects (If necessary) 5. Conclusion.

Answers

Answer:

Design Expert Output Response: Warping ANOVA for Selected Factorial Model Analysis of variance table [Partial sum of squares] Sum of Mean F Source Squares DF Square Value Prob > F Model 968.22 15 64.55 9.52 < 0.0001 significant A 698.34 3 232.78 34.33 < 0.0001 B 156.09 3 52.03 7.67 0.0021 AB 113.78 9 12.64 1.86 0.1327 Residual 108.50 16 6.78 Lack of Fit 0.000 0 Pure Error 108.50 16 6.78...

Step-by-step explanation:

An open box is to be constructed so that the length of the base is 3 times larger than the width of the base. If the cost to construct the base is 4 dollars per square foot and the cost to construct the four sides is 1 dollars per square foot, determine the dimensions for a box to have volume

Answers

Answer:

Step-by-step explanation:

Let assume that the volume = 88 cubic feet

Then:

[tex]L = 3w --- (1)volume = l \times w \times h \\ \\ 88 = (3w) \times w \times h \\ \\ 3w^2 h= 88 \\ \\ h = \dfrac{88}{3w^2}--- (2) \\ \\[/tex]

The construction cost now is:

[tex]C = 4(l \times w) + 2 ( w \times h) + 2(l \times h) \\ \\ C = 4(3w^2) + 2(w \times \dfrac{88}{3w^2}) + 2(3w \times \dfrac{88}{3w^2}) \\\\ C = 12w^2 + \dfrac{176}{3w} + \dfrac{176}{w}[/tex]

Now, to determine the minimum cost:

[tex]\dfrac{dC}{dw}= 0 \\ \\ \implies 24 w - \dfrac{176}{3w^2}- \dfrac{176}{w^2}=0 \\ \\ 24 w ^3 = \dfrac{176}{w^2}(\dfrac{1}{3}+1) \\ \\ 24 w ^3 = \dfrac{176(4)}{3} \\ \\ w^3 = \dfrac{88}{3(3)}[/tex]

[tex]w = \dfrac{88}{3(3)}^{1/3} \ feet[/tex]

Now;

[tex]length = 3 ( \dfrac{88}{3(3)})^{1/3} \ feet[/tex]

[tex]height = ( 88})^{1/3} (3)^{1/3} \ feet[/tex]

A vector v has initial point (5,-2) and terminal point (1, -3). Write v in the form v=ai+bj.​

Answers

Answer:

v= -4i-j

Step-by-step explanation:

we subtract the coordinates and we achieve the coordinates and we replace them in the equation of the straight line in the form y=ai+bj.

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