Plz ans with steps... Thx!!

A game is played using one die. If the die is rolled and shows 1, the player wins $5. If the die shows any number other than 1, the player wins nothing. If there is a charge of $1 to play the game, what is the game's expected value?

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Let random variable "x" be a count of player gain.

X-values are: 4, -1

P(x=4) = 1/6; P(x= -1) = 5/6

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E(x) = (1/6)(4) + (5/6)(-1)

E(x) = [4-5]/6

E(x) = -1/6 = -17 cents

=============================

Cheers,

Each tick on the graph represents a single unit.

Thus, counting the ticks, we see that the graph starts at x=2. We also see that the graph ends at x=5.

Thus, the domain is [tex]2 \leq x \leq 5[/tex]

Let me know if you need any clarifications, thanks!

38 42 34 54

Step-by-step explanation:

7have the best mayonnaise bianco babi naive albino pig is this real or not be a posible and I am a great day for 53feet

Hey there! I'm happy to help!

To find the volume of a cone, we multiply the base by the height and then divide by three.

First, we find the area of the base, which is a circle. To find a circle, you square the radius and then multiply by pi (or 3.14 in our case).

Radius is half of the diameter.

3/2=1.5

We square this.

1.5²=2.25

We multiply by 3.14

2.25×3.14=7.065

Now, we multiply this base area by the height.

7.065×7=49.455

We divide by 3.

49.455/3=16.485

Therefore, if we round this, our answer is 16.49 in³.

Now you can find the volume of a cone! Have a wonderful day! :D

Answer:

16.49

Step-by-step explanation:

Answer:

$32

Step-by-step explanation:

the skirt is on sale. 40 times 0.20 (because of 20 divided by 100) is 8. That means that the skirt is $32 since $40-$8=$32.

Answer:

$32

Step-by-step explanation:

discount is $8

Answer:

  an = 5n -7

Step-by-step explanation:

Try the offered formulas with n= 1 and see which gives you the first term of the sequence.

an = -2n +3

  -2(1) +3 = 1 . . . . not -2

an = -2n +7

  -2(1) +7 = 5 . . . . not -2

an = 5n +3

  5(1) +3 = 8 . . . . not -2

an = 5n -7

  5(1) -7 = -2 . . . . this is the formula you want

_____

If you recognize the common difference of the sequence to be 5, then you can automatically eliminate any formulas that don't contain 5n.

Answer:

Option B.

Step-by-step explanation:

From the given venn diagram it is clear that

[tex]A={1,2}[/tex]

[tex]B={1,2,3,4,5,6}[/tex]

[tex]A\cap B={1,2}[/tex]

Since the intersection of A and B is non-empty, therefore by conditional probability

[tex]P(B|A)=\dfrac{P(A\cap B)}{P(A)}[/tex]

[tex]P(B|A)\cdot P(A)=P(A\cap B)[/tex]

[tex]P(A\cap B)=P(B|A)\cdot P(A)[/tex]

Therefore, the correct option is B.

Inequalities are used to show unequal expressions; in other words, it is the opposite of equalities.

The inequality that represents the scenario is, [tex]18 + 0.08B \ge 75[/tex] and the smallest number of balls Carolina can buy is 713

Given that:

[tex]Entrance\ Fee = \$18[/tex]

[tex]Rate = \$0.08[/tex] per ball

Let:

[tex]B \to Balls[/tex]

The amount (A) Carolina can spend on B balls is:

A = Entrance Fee + Rate * B

This gives:

[tex]A = 18 + 0.08 * B[/tex]

[tex]A = 18 + 0.08B[/tex]

To get $10, Carolina must spend $75 or more.

This means:

[tex]A \ge 75[/tex]

So, the inequality is:

[tex]18 + 0.08B \ge 75[/tex]

The smallest number of balls is calculated as follows:

[tex]18 + 0.08B \ge 75[/tex]

Collect like terms

[tex]0.08B \ge 75 - 18[/tex]

[tex]0.08B \ge 57[/tex]

Divide both sides by 0.08

[tex]B \ge 712.5[/tex]

Round up

[tex]B \ge 713[/tex]

Hence, the inequality is [tex]18 + 0.08B \ge 75[/tex] and the smallest number of balls is 713

Learn more about inequalities at:

brainly.com/question/20383699

Using a linear function, it is found that:

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The linear function for the cost of B paintballs has the following format:

[tex]C(B) = C(0) + aB[/tex]

In which

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Question 1:

Thus:

[tex]C(B) = 18 + 0.08B[/tex]

[tex]C(B) \geq 75[/tex]

[tex]18 + 0.08B \geq 75[/tex], given by option B.

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Question 2:

[tex]18 + 0.08B \geq 75[/tex]

[tex]0.08B \geq 57[/tex]

[tex]B \geq \frac{57}{0.08}[/tex]

[tex]B \geq 712.5[/tex]

Rounding up, she has to buy at least 713 paintballs.

A similar problem is given at https://brainly.com/question/24583430

Answer:

1. 7

2. 6

[tex]3. 3\sqrt{5}[/tex]

4?

5. [tex]8\sqrt{10}[/tex]

6.[tex]5\sqrt{3}[/tex]

7. [tex]-1+\sqrt{3}[/tex]

Step-by-step explanation:

1. [tex]\sqrt{7} *\sqrt{7} =\sqrt{49}=7[/tex]

2. [tex]\sqrt{18}*\sqrt{2} =\sqrt{36}=6[/tex]

3.[tex]\sqrt{45}=\sqrt{9^{2}*5 }=3\sqrt{5}[/tex]

4. here there are two cases

[tex]\sqrt{\frac{50}{5} }=\sqrt{10}[/tex]

[tex]\frac{\sqrt{50} }{5} =\frac{5\sqrt{2} }{5} =\sqrt{2}[/tex]

5. [tex]2\sqrt{2} *4\sqrt{5} =8\sqrt{10}[/tex]

6. [tex]\sqrt{48}- \sqrt{12} =4\sqrt{3} -2\sqrt{3} =2\sqrt{3}[/tex]

7. [tex](2-\sqrt{3} )(1+\sqrt{3} )=2+2\sqrt{3}-\sqrt{3} -3=-1+\sqrt{3}[/tex]

Answer:

160

Step-by-step explanation:

so 1 gallon is 128 fluid ounces

how many is 12fl oz

so (1×12)/128=0.09375gallons per person

and you have 15 so if one consumes 0.09375 how many can consume 15

so 15/0.09375

Answer:

Answer:

Step-by-step explanation:

We are given the position function and need to find the value of t when h<17.

Create an inequality that represents this situation:

[tex]-16t^2+81<17[/tex] The "less than" sign makes this very specifically a conjunction problem as opposed to a disjunction. That's important to the solution. But we'll get there.

The simplest way to solve this is to subtract 81 from both sides:

[tex]-16t^2<-64[/tex] then divide both sides by -16:

[tex]t^2>4[/tex] Notice now that the sign is facing the other way since we had to divide by a negative number. Now it's a disjunction. The solution set to this inequality is that t>2 or t<-2. First and foremost, time will never be negative, so we can disregard the -2. Even if that was t<2, the more time that goes by, the greater the time interval is, not the lesser. It's the "<" that doesn't make sense, not only the -2. The solution to this inequality is

t > 2 sec. That means that after 2 seconds, the height of the ball is less than 17 feet.

Answer:

A on edg

Step-by-step explanation:

Answer:

20 hours

Step-by-step explanation:

If your computer can download a movie in 5 hours, then it downloads [tex]\frac{1}{5}[/tex] of a movie in 1 hour.

The extra processor in 1 hour, reduces the time down to 5 hours, so it downloads [tex]\frac{1}{4}[/tex] of the movie in 1 hour.

The time that the extra processor will spend to download a whole movie added to  [tex]\frac{1}{5}[/tex] will equal [tex]\frac{1}{4}[/tex] .

So our equation is [tex]\frac{1}{5} + \frac{1}{x} = \frac{1}{4}[/tex].

To simplify this, lets multiply all sides by 20x.

[tex](\frac{1}{5}+\frac{1}{x} \cdot 20x) = \frac{1}{4}\cdot20x\\ 4x + 20 = 5x[/tex]

Now we can simplify this equation.

[tex]20 = 5x-4x\\\\20 = x\\x = 20[/tex]

So the extra processor alone would take 20 hours to download the movie.

Hope this helped!

Answer:

start with -29, multiply each term by 4

start with 60, multiply each term by 0.1

start with 97 and multiply each term by 0.5

3.03 cells

Step-by-step explanation:

1. The first sequence begins with -29. -116 ÷ -29 = 4, -464 ÷ -116 = 4, etc. Each value is multiplied by 4 to get the next value.

2. The second sequence begins with 60. 6 ÷ 60 = 0.1, 0.6 ÷ 6 = 0.1, etc. Each value is multiplied by 0.1 to get the next value.

3. The colony starts with 97 cells. Splitting into two is the same as multiplying by 0.5.

4. Multiply 97 by 0.5, 5 times for 5 minutes.

97 · 0.5 · 0.5 · 0.5 · 0.5 · 0.5 = 3.03

Answer:

24

Step-by-step explanation:

46 - 22 = 24

answer = no it does not measure a rate

Answer:

NO

Step-by-step explanation:

Percent is just a number out of 100

Answer:

[tex]h=13\,\sqrt{3}[/tex]

[tex]x=52[/tex]

Step-by-step explanation:

Using the triangle formed in the far left, we can use the Pythagorean theorem to solve for h:

[tex]h^2+a^2=y^2\\h^2+39^2=(26\,\sqrt{3} )^2\\h^2=26^2\,(3)-39^2\\h^2=507\\h=\sqrt{507}\\h=13\,\sqrt{3}[/tex]

Now, using the right angle triangle on the right we solve for x:

[tex](x-a)^2+h^2=z^2\\(x-39)^2+507=26^2\\(x-39)^2=676-507\\(x-39)^2=169\\x-39=+/-13\\x=26\,\,\,or\,\,\,x=52[/tex]

since x has to be larger than "a" (39), we use the second answer:

[tex]x=52[/tex]

Answer: Mullins family eat [tex]\dfrac{9}{20}[/tex] of the pizza the Hernandez family ate.

Step-by-step explanation:

Area of circle = [tex]\pi r^2[/tex] , where r is the radius

Given, Diameter of Hernandez family's pizza = 20 inches

Radius = [tex]\dfrac{20}{2}[/tex] = 10 inches

Area of Hernandez family's pizza  = [tex]\pi (10)^2=100\pi \text{ in.}^2[/tex]

Since, they divide pizza into 15 pieces , area of each slice = [tex]\dfrac{100\pi}{15}=\dfrac{20}{3}\pi\text{ in.}^2[/tex]

They left with 3 slices i.e. they ate 12 slices, area of all 12 slices = 12 x (area of each slice)

= [tex]12\times\dfrac{20}{3}\pi\text{ in.}^2= 80\pi\text{ in.}^2[/tex]

Diameter of Mullins family's pizza = 12 inches

Radius = [tex]\dfrac{12}{2}[/tex] = 6 inches

Area of Mullins family's pizza  = [tex]\pi (12)^2=144\pi \text{ in.}^2[/tex]

Since, they divide pizza into 8 pieces , area of each slice = [tex]\dfrac{144\pi}{8}=18\pi\text{ in.}^2[/tex]

They left with 6 slices i.e. they ate 2 slices, area of all 2 slices = 2 x (area of each slice)

= [tex]2\times18\pi\text{ in.}^2=36\pi\text{ in.}^2[/tex]

Since, [tex]\dfrac{36\pi}{80\pi}=\dfrac{9}{20}[/tex]

Hence, Mullins family eat [tex]\dfrac{9}{20}[/tex] of the pizza the Hernandez family ate.

Answer:

The answer is C.

Step-by-step explanation:

In order to find the solution of the linear equation, you have to find the coordinates where they intersect.

So according to the graph, both lines intersect at the coordinates of ( 0 , 1 ).

(Correct me if I am wrong)

Answer:

Step-by-step explanation:

x^2-6x=7 is our equation

x^2-2*3*x= 7

So the term we will be adding is 3^2 since 3 the second term is 2*3*x

x^2-6x+9=7-9

We added 9 and substract it to keep the equation

(x+3)^2 = -2

Wich is impossible since a squared number is always positive

Answer:

D

Step-by-step explanation:

The triangle is an isosceles triangle which means that two sides are the same, A is the same size of the equal side so A is D.

Answer:

The answer is D.

Answer:

A system of parallel lines will be created where the two lines will never meet and have no common solution at a value of m = 2

Step-by-step explanation:

The equation of the given line is 8·x - 4·y = 12

Which gives;

8·x- 12= 4·y

y = 2·x - 3

Given that the line passes through the points (0, -3) and (1, -1), we have;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

When (x₁, y₁) = (0. -3) and (x₂, y₂) = (1, -1), we have;

[tex]Slope, \, m =\dfrac{(-1)-(-3)}{1-(0)} = 2[/tex]

y - (-3) = 2×(x - 0)

y = 2·x - 3 which is the equation of the given line

For the lines 8·x - 4·y = 12, which is the sane as y = 2·x - 3 and the line y = m·x  - 6 to have no solution, the slope of the two lines should be equal that is m = 2

Given that the line passes through the point (1.5, 0), we have;

y - 0 = 2×(x - 1.5)  

y = 2·x - 3...................(1)

For the equation, y = m·x  - 6, when m = 2, we have;

y = 2·x  - 6..................(2)

Solving equations (1) and (2) gives;

2·x - 3 = 2·x  - 6, which gives;

2·x - 2·x=  - 3 - 6

0 = 9

Therefore, a system of parallel lines will be created where the two lines will never meet and have no common solution at a value of m = 2.

Answer:

short answer is 2 or d

Step-by-step explanation:

Answer:

d. 200%

Step-by-step explanation:

( 800 ÷ 400 ) × 100

Answer:

8 hopefully

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Step-by-step explanation:

I believe the answer is

The fuction roughly matches the data

Answer:

The function fits very well

Step-by-step explanation:

The equation for the stats is

y=-0.039866x²+3.99375x-0.4785714

When you reflect a diagonal over a line of symmetry, the diagonal will land perfectly on the other diagonal (and vice versa). This suggests that one diagonal is a mirror copy of the other.

Another way to put it: The vertex points of the rectangle will swap when we reflect over a line of symmetry. A diagonal is simply the opposite vertex points joined together. So this is why the diagonals swap places (because the vertices line up perfectly when you apply the reflection).

A shape with a line of symmetry will land on itself, when reflected across the line of symmetry. The true statements are:

From the question, we understand that; the rectangle is reflected across the line of symmetry

When this is done, the half of the rectangle will land directly on the other half.

This means that, the diagonal of the rectangle will land perfectly on the other diagonal

The statement above suggests that, the diagonal of a rectangle is also a line of symmetry of the rectangle.

Read more about lines of symmetry and diagonals at:

https://brainly.com/question/1045307

Answer:

Step-by-step explanation:

To solve this problem you have to complete the square. To do that, set the quadratic equal to 0, then move the constant over to the other side. That's 2 steps in one, but they're simple ones:

[tex]-5t^2+10t=-65[/tex]

The first picky rule that completing the square has to follow is that the coefficient on the squared term has to be a 1. Ours is a -5, so we factor it out:

[tex]-5(t^2-2t)=-65[/tex] . Now it gets even pickier. To create a perfect square binomial on the left, we take half the linear term, square it, and add it in to both sides. Our linear term is a -2. Half of -2 is -1, and -1 squared is 1, so we add 1 into the set of parenthesis. BUT the -5 out front is a multiplier and refuses to be ignored. To offset the addition of the 1 inside the parenthesis, we have to multiply it by the -5 out front to get -5:

[tex]-5(t^2-2t+1)=-65-5[/tex]

The perfect square binomial on the left side and simplifying the right:

[tex]-5(t-1)^2=-70[/tex] . Now we'll move the 70 over and set the quadratic back equal to y:

[tex]-5(t-1)^2+70=y[/tex]

That's the quadratic in vertex form. The vertex here is (1, 70) which serves to answer 2 questions for us: the max height of the ball along with the time it was at that max height. For us, the ball reached a max height of 70 m after 1 second in its travels.

You could also do it the "calculus way" which is to find the derivative of the position function, which is

-10t + 10 = 0 and solve for t:

-10t = -10 so

t = 1. That's the time that the ball is at its highest point, and to find the highest point, sub that value in for t in the position function:

[tex]h(t)=-5(1)+10(1)+65[/tex] which comes to 70 m. I'm not sure what class you're taking so I did both! Calculus is way easier.