Hank and Rosa play the following game: A bag has 15 tiles in it, each with a letter from the phrase probability game on it. Hank and Rosa take turns drawing a tile, recording the letter, and placing the tile back in the bag. Hank earns a point if he draws a vowel. Rosa earns a point if she 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 not fair because the probability of Hank drawing a winning letter is less than the probability of Rosa drawing a winning letter.

B. The game is fair because Hank and Rosa have the same probability of drawing a winning letter.

C. The game is fair because both Hank and Rosa will get a point if the letter y is drawn.

D. The game is not fair because the probability of Hank drawing a winning letter is greater than the probability of Rosa drawing a winning letter.

Answer:

my answer is no because for a right angle triangle the sum of the squares of the other two sides is equal to the square of the longest side

3²+7²=9+49=58

(√57)²=57

57≠58 it's not a right angle triangle

assume the sides to be a,b and c

a=3 b=7 c=√57

by Pythagoras theorem

a²+b²=c²

3²+7²=√57²

but 58≠57

hope it's clear

Answer:

[tex]a_{n}[/tex] = 60 - 15n

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 45 and d = a₂ - a₁ = 30 - 45 = - 15 , then

[tex]a_{n}[/tex] = 45 - 15(n - 1) = 45 - 15n + 15 = 60 - 15n

An equation for the nth term of the arithmetic sequence is aₙ=60-15n.

An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is aₙ=a+(n-1)d.

The given arithmetic sequence is 45, 30, 15, 0,.....

Here, a=45 and d=30-45 = -15

Now, aₙ=45+(n-1)(-15)

aₙ=45-15n+15

aₙ=60-15n

Therefore, an equation for the nth term of the arithmetic sequence is aₙ=60-15n.

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Step-by-step explanation:

pentagonal pyramid

cone

7

Answer:

You have a 2/3 chance

Answer:

2/3

Step-by-step explanation:

when you spin twice you either get a KK, KV, KH, VK, VV, VH, HK, HV, HH.

so the probability of getting a K and a K is 1/3 plus 1/3 to get your answer as 2/3.

Answer:

its B I think not for sure

Answer:

2 yards

Step-by-step explanation:

1 yard = 3 feet

Answer:

2 yards

Step-by-step explanation:

Answer:      imgurl=http%3A%2F%2Fwww.rasmus.is%2FIS%2FT%2FF%2FSu52k03_m01.gif&imgrefurl=http%3A%2F%2Fwww.rasmus.is%2Fuk%2Ft%2FF%2FSu52k03.htm&tbnid=0mYNOM8hE-8CkM&vet=12ahUKEwj4y9mb3NrvAhXNtFMKHZ9kCDEQMygIegUIARCjAQ..i&docid=Iv4G7-Ojzx0JrM&w=290&h=247&q=Which%20function%20does%20the%20graph%20represent%3F3%2C%2015)Of(x)%20%3D%20(x%20%2B%203)(x%20%2B%207)O%20f(x)%20%3D%20(x%20-%203)(x%20-%207)O%20f(x)%20%3D%203(x%20%E2%80%93%203)(x%20%E2%80%93%207)Of(x)%20%3D%2011(x%20%2B%203)(x%20%2B%207)&safe=active&ved=2ahUKEwj4y9mb3NrvAhXNtFMKHZ9kCDEQMygIegUIARCjAQ

Answer:

c

Step-by-step explanation:

we add them which gets 440. afterwards we don't round since it's a profitable and stable amount

Answer:

It comes from correct solution steps and is not a valid solution of the equation.

Step-by-step explanation:

The true statement about extraneous solutions is:

(c) It comes from correct solution steps and is not a valid solution of the equation.

An extraneous solution is a solution when put in the original equation does not give the correct value

However, the step to get the solution is true

Hence, the true statement about extraneous solutions is (c)

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The product is greater than  both factors but less than 1.

Answer:

5 units

Step-by-step explanation:

Diameter = two times the radius so the answer is 5 units.

Answer:

x=74

y=37

z=25

Step-by-step explanation:

First, we can find y.

106 and 2y are supplementary angles. That means that when added together, they equal 180.

106+2y=180

2y=74

y=37

We can use this information to help us find x.

x and 2y are corresponding angles, which means that they are congruent.

2y=x

2(37)=x

74=x

Now, let's find z.

4z+6 is corresponding to the angle right above angle x. This means that (4z+6)+x=180.

Let's solve.

(4z+6)+74=180

4z+80=180

4z=100

z=25

Hope this helped!

9514 1404 393

Answer:

Step-by-step explanation:

When Mai receives money, her account balance increases. The amount received can be represented by a positive number.

When Mai spends money, her account balance decreases. The amount spent can be represented by a negative number.

Answer:

$1452.6

Step-by-step explanation:

To obtain the cost of fencing round a triangular paddock, we obtain the perimeter. The perimeter of a triangle is given as :

Perimeter = a + b + c ; where a, b and c are the length of the three sides of the triangle.

The perimeter of the paddock in this scenario is :

(114 + 102 + 53) feets = 269 feets ; which are the lengths of the 3 sides of the triangular paddock.

Painting Cost per feet = $5.40

Cost per feet * number of feets

$5.40 * 269

= $1452.6

Answer:

Step-by-step explanation:

x - 2.8 gal < 24.5 gal

x < 247.8 gal

Answer:

x < 27.3 gallons

Step-by-step explanation:

gallons in the tank before = x

x < 2.8+24.5

x < 27.3 gallons

Answer: 152$

Step-by-step explanation:

255 x (1/3) = 85

85

110 of the coins are 50p

110 x .5 = 55

85 + 55 = 140

85 + 110 = 195 total coins

255 - 195 = 60

60 x .2 = 12$

140 + 12 = 152$

Answer:

Step-by-step explanation:

#1

Substitute pairs of solutions and verify

(1, 7)

(2, -7)

Correct choice is D. Neither

#2

x- intercept: y = 0

y- intercept: x = 0

#3

x = -1 ⇒ find y:

Answer:

1. The answer is D , neither

Just insert 1&2 in the equation and then get -7 & -9 , which are wrong !

_____________

2. x-intercept : (-13/6 , 0)

y-intercept : (0,13)

_____________

Y=3

Just insert -1 as X in the equation & get the Y .

Step-by-step explanation:

Hope that was helpful .

Good luck .

Answer:

1/14

Step-by-step explanation:

Answer:

The answer is True

Answer:

C. No Solutions

Step-by-step explanation:

Answer:

C) no solutions

Step-by-step explanation:

7a+5(a+3)=8a+4(a+2)

7a+5a+15=8a+4a+8

12a+15=12a+8

-8           -8

12a+7=12a

No solutions

Question 1

D) relative pronoun

Question 2

A) subject pronoun

Question 3

C) reflexive pronoun

Question 4

B) object pronoun

Hope this helps :)

Step-by-step explanation:

hope it is helpful

Answer:

0.54m/s

Step-by-step explanation:

Speed = distance / time

5.4/10=0.54 m/s

The perimeter of the square is 70.8 meters.

To find the perimeter of a square, we need to know either the length of one side or the area of the square. In this case, we are given the area of the square as 313.29 m².

The formula for the area of a square is:

Area = side length²

We can rearrange this formula to solve for the side length:

Side length = √Area

Substituting the given area into the formula, we have:

Side length = √313.29 m²

Calculating the square root of 313.29, we find that the side length of the square is approximately 17.7 meters (rounded to one decimal place).

Since a square has four equal sides, the perimeter is simply four times the side length:

Perimeter = 4 * 17.7 m = 70.8 meters

As a result, the square's circumference is 70.8 metres.

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Answer:

True

Step-by-step explanation:

The absolute value of any number will always be positive. Therefore the absolute value of a negative number is the opposite of the negative. Which is positive.

Answer:

x = −2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(4x+6)=x−4

(3)(4x)+(3)(6)=x+−4(Distribute)

12x+18=x+−4

12x+18=x−4

Step 2: Subtract x from both sides.

12x+18−x=x−4−x

11x+18=−4

Step 3: Subtract 18 from both sides.

11x+18−18=−4−18

11x=−22

Step 4: Divide both sides by 11.

[tex]\frac{11x}{11}[/tex] = [tex]\frac{-22}{11}[/tex]

x = −2