The graph of F(x) , shown below, resembles the graph of G(x) = x ^ 2 , but it has been changed somewhatWhich of the following could be the equation of F(x) ?

Answer:

The expected value of the points earned on a single roll in this game is [tex]\dfrac{1}{6} = 0.1667[/tex] .

Step-by-step explanation:

We are given that consider a game in which players roll a number cube to determine the number of points earned. If a player rolls a prime number, that many points will be added to the player’s total. Any other roll will be deducted from the player’s total.

Assuming that the numbered cube is a dice with numbers (1, 2, 3, 4, 5, and 6).

Here, the prime numbers are = 1, 2, 3 and 5

Numbers which are not prime = 4 and 6

This means that if the dice got the number 1, 2, 3 or 5, then that many points will be added to the player’s total and if the dice got the number 4 or 6, then that many points will get deducted from the player’s total.

Here, we have to make a probability distribution to find the expected value of the points earned on a single roll in this game.

Note that the probability of getting any of the specific number on the dice is   [tex]\dfrac{1}{6}[/tex] .

      Numbers on the dice (X)                       P(X)

                      +1                                                 [tex]\frac{1}{6}[/tex]

                      +2                                                [tex]\frac{1}{6}[/tex]

                      +3                                                [tex]\frac{1}{6}[/tex]

                      -4                                                 [tex]\frac{1}{6}[/tex]

                      +5                                                [tex]\frac{1}{6}[/tex]

                      -6                                                 [tex]\frac{1}{6}[/tex]

Here (+) sign represent the addition in the player's total and (-) sign represents the deduction in the player's total.

Now, the expected value of X, E(X)  =  [tex]\sum X \times P(X)[/tex]

   =  [tex](+1) \times \frac{1}{6} +(+2) \times \frac{1}{6} +(+3) \times \frac{1}{6} +(-4) \times \frac{1}{6} +(+5) \times \frac{1}{6} +(-6) \times \frac{1}{6}[/tex]

   =  [tex]\frac{1}{6} + \frac{2}{6} + \frac{3}{6} - \frac{4}{6} + \frac{5}{6} - \frac{6}{6}[/tex]

   =  [tex]\frac{1+2+3-4+5-6}{6}[/tex]

   =  [tex]\frac{11-10}{6}= \frac{1}{6}[/tex]

Hence, the expected value of the points earned on a single roll in this game is  [tex]\frac{1}{6} = 0.1667[/tex] .

Answer:

50

Step-by-step explanation:

I have set up an equation, where 'x' is the larger number:

x + (x - 12) = 88

Solve for 'x':

x + (x - 12) = 88  

x + x - 12 = 88

2x - 12 = 88

2x -12 + 12 = 88 + 12

2x =  100

2x/2 = 100/2

x = 50

The larger number should be 50.

Answer:50

Step-by-step explanation:

Answer:

acute

Step-by-step explanation:

Answer:

1st blank: 160(2) - 16(2)²

2nd blank: 256

3rd blank: 5

4th blank: 400

5th blank: 10

Step-by-step explanation:

h(x) = -16x² + 160x

To find h(2) just replace x = 2 into the equation

h(2) = 160(2) - 16(2)² = 256 in

The maximum height coincides with the vertex of the parabola.

x-coordinate of the vertex: -b/(2a) = -160/[2*(-16)] = 5

y-coordinate of the vertex: -16(5)² + 160(5) = 400

To hit the ground means h(x) = 0

-16x² + 160x = 0

16x(-x + 10) = 0

x = 0

or

-x + 10 = 0

x = 10

Answer:

12x-15

Step-by-step explanation:

In my expression, I multiplied 12(how much money she makes per hour) by x(the number of hours she worked)  then subtracted 15, which was the fine she had to pay.

Answer:

12x-15

Step-by-step explanation:

I took the test

1/2x^2 - 2x +1

Step-by-step explanation:

it cannot be negative x as the parabola has a minimum value, the coordinates of turning point is (-1,2)

as it is -1 there has to be a negative sign in equation

so the right one is 2nd one

Answer:

Step-by-step explanation:

the graph is clearly that of a parabola that opens up and has its vertex at (2, -1).  The coefficient of x^2 must be + because the parabola opens up.  

Using the point-slope formula y - k = a(x - h)^2, and letting 2 replace h and -1 replace k, we get:

y + 1 = a(x - 2)^2  or  y = a(x - 2)^2 - 1

Answer:

  the first player wins

Step-by-step explanation:

The first player can always win if they adopt this strategy:

  1. make the first move in the center of the board

  2. make every subsequent move in the position that is the image of the 2nd player's move, reflected across the center.

Hence if the 2nd player can make a move, so can the first.

Answer:

128

Step-by-step explanation:

You have two jars and seven marbles.

You do [tex]2^{7}[/tex].

That is 128

Answer:

y = 2/5x - 2

Step-by-step explanation:

Step 1: Subtract 2x on both sides

-5y = 10 - 2x

Step 2: Divide everything by -5

y = -2 + 2/5x

Step 3: Rearrange

y = 2/5x - 2

Answer:

7, 165.482 ≈ 7,165.48

Step-by-step explanation:

7, 165.482

Locate the hundredth:

7, 165.482

Check the number to the left:

7, 165.482

If the number is greater than or equal to five, we round up.

If the number is less than four, we round down.

2 is less than four.

Therefore:

7, 165.482 ≈ 7,165.48

The given number rounded to the nearest hundredth is 7, 165.48.

The given decimal number is 7,165.482.

We need to round 7,165.482 to the nearest hundredth.

To round a number to the nearest hundredth, look at the next place value to the right (the thousandths this time). Same deal: If it's 4 or less, just remove all the digits to the right. If it's 5 or greater, add 1 to the digit in the hundredth place, and then remove all the digits to the right.

Now, in the number 7,165.482 digits, the thousandth place is 2.

So, the number to the nearest hundredth is 7, 165.48

Therefore, the given number rounded to the nearest hundredth is 7, 165.48.

To learn more about rounding off numbers visit:

https://brainly.com/question/902495.

#SPJ2

Answer:

The mean score for Ken was 100.

Step-by-step explanation:

The mean score is given by the sum of the scores in each round by the number of rounds played. So for Yaping the mean score is:

[tex]\text{mean}_{\text{Y}} = \frac{\text{sum}}{5}\\\frac{\text{sum}}{5} = 80\\\text{sum} = 5*80 = 400[/tex]

So the sum of the scores for Yaping was 400, since Ken had the same sum of score we can use that number to find his mean as shown below:

[tex]mean_{K} = \frac{400}{4} = 100[/tex]

The mean score for Ken was 100.

Answer:

[tex]p(0) + p(1) = 2[/tex]

Step-by-step explanation:

=> [tex]p(x) = x^3-x^2+1[/tex]

Putting x = 0 in p(x)

=> [tex]p(0) = (0)^3-(0)^2+1[/tex]

=> [tex]p(0) = 0-0+1[/tex]

=> [tex]p(0) = 1[/tex]

Putting x = 1 in p(x)

=> [tex]p(1) = (1)^3-(1)^2+1[/tex]

=> [tex]p(1) = 1-1+1[/tex]

=> [tex]p(1) = 1[/tex]

So,

=> [tex]p(0)+p(1) = 1+ 1[/tex]

=> [tex]p(0) + p(1) = 2[/tex]

Answer:

A gradient is negative if it goes down to the right corner and positive if it goes up to the right corner of a graph.

Step-by-step explanation:

Answer:

  0.333

Step-by-step explanation:

The first sequence starts at 1 and has a common difference of 2. It will include every odd number in the range.

__

The second sequence starts at 1 and has a common difference of 3. It will include odd numbers and the even numbers 4, 10, 16, .... That is, all even numbers of the form 6n -2 will be included. The last one corresponds to the largest value of n such that ...

  6n -2 ≤ 1000

  6n ≤ 1002

  n ≤ 167

That is, 167 even numbers will also be excluded.

__

The third sequence starts at 1 and has a common difference of 4. Every number in this sequence is also a number in the first sequence.

__

So the numbers in these sequences include all 500 odd numbers and 167 even numbers, for a total of 667 numbers. The probability that a randomly chosen number is not in one of these sequences is ...

  (1000 -667)/(1000) = 333/1000 = 0.333 . . . . p(not a sequence term)

Answer:

1/3

Step-by-step explanation:

Answer:

The answer is option A.

Step-by-step explanation:

Surface area of a sphere is 4πr²

where r is the radius

radius = diameter / 2

radius = 16/2 = 8cm

Surface area of the sphere is

4π (8)²

= 4(64)π

= 256π

= 804.2cm²

Hope this helps you.

Answer:

Step by step explanation:

[tex] - 7.1(z - 1.1)[/tex]

Multiply each term in paranthesis by -7.1

[tex] - 7.1 \times z - 7.1 \times ( - 1.1)[/tex]

Multiply:

[tex] -7.1z + 7.81[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

(-6, -8)

Step-by-step explanation:

Midpoint Formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]

Simply set our variables to what we know and solve:

-7 = (-8 + x)/2

-14 = -8 + x

x = -6

0 = (8 + y)/2

0 = 8 + y

y = -8

Answer:

The other endpoint is (-6,-8).

Step-by-step explanation:

I hope this helps

Answer:

the slope

Step-by-step explanation:

If the function is linear, the average rate of change of y with respect to x is the slope of the line.

Answer:

slope

Step-by-step explanation:

Answer:July: 10 August: 0 Sept: 100 October: 165 Nov: 750 Dec:65

Step-by-step explanation:

Hope this helped!

<!> Brainliest is appreciated! <!>

Answer:

July: 10 August: 0 Sept: 100 October: 165 Nov: 750 Dec:65

Step-by-step explanation:

hope this help

Answer:

D.(1,-1)

Step-by-step explanation:

A positive plus a negative would be a negative but the negative number is less than the positive then you'll have to subtract them both

Answer:

D. 1, -1

Step-by-step explanation:

Trust me g

Answer:

5+10/6+12

Step-by-step explanation:

5+10 is 15

6+12 is 18

so that would be 15/8 which is equal to 15/18

That is the best answer but this question doesn't really make sense.

Hope this helps!

Also side note: 5/6 is not proportional to 15/16. 5 * 3=15, but 6*3 does not equal to 16! Please check the question and make sure you typed the right thing! Thanks!

actually 5/6 and 15/16 are not in proportion

since 6*15 is not equal to 16*5

Answer:

15.  c

16.  b

i hope you figure out later in life how to solve.

Answer:

A, D

Step-by-step explanation:

When you are writing an indirect proof, the first step is to temporarily assume that the opposite of what is given is true.

Because of this, that would mean that you would have to temporarily assume x>6, because the first step is to assume the wrong thing, making the answer A.

Same thing for number 16. It is giving you that n is an odd number, so you can temporarily say that n^2 is an even, since an odd times an odd it always going to equal an even, making the answer D.

Answer:

D. The coefficient of the x^2-term must be positive.

Step-by-step explanation:

A. The coefficient of the x2-term can't be zero.

B. There can be no term whose degree is higher than 2.

C. One side of the equation must be zero.

D. The coefficient of the x2-term must be positive.

Quadratic equation is given as:

y=ax^2+bx+c

To use the quadratic formula,we have

ax^2+by+c=0

Coefficient of x^2 can not be equal to 0, that is a can not be equal to 0

There can be no term whose degree is higher than 2. The highest degree in a quadratic equation is 2

One side of the equation must be 0, that is ax^2+by+c=0

Coefficient of x^2 must be positive. The coefficient of x^2 can either be positive or negative. That is, it can either be a or -a

Answer:

n = 8.15

Step-by-step explanation:

3/8 is 4 & 3/5 % of what number?

Rewrite this as:    3/8 is (4  3/5)% of what number?

Convert 4 3/5% into a decimal:  0.046

Then write out and solve the equation 3/8 = 0.046n, where n is the unknown number.

Dividing both sides by 0.046, we get n = 8.15

Answer:

A. 24/7

What are sine, cosine, and tangent?

SOH - CAH - TOA

sine = opposite/hypotenuse

cosine = adjacent/hypotenuse

tangent = opposite/adjacent (that is not hypotenuse)

Step-by-step explanation:

tanX = ZY/XY = 48/14 = 24/7

Answer:

24/25

Step-by-step explanation:                    opposite side

The tangent of the angle X is tan X = ------------------------ = 48/50 = 24/25

                                                                adjacent side

Answer:

The asnwer is 12100 cm^2 of plastic without lid

Step-by-step explanation:

There 6 sides in a box, but there is no lid so only 5 sides.

Calulate the area of all 5 sides and add them up.

( ( 50 x 30) x 2 ) +( ( 70 x 50 ) x 2) + ( 70 x 30 )

=12100 cm^2

The expression [tex]4^{3} *4^{x}[/tex] is equivalent to [tex]4^{x+3} , 64*4^{x}[/tex].

An expression is a combination of symbols and it does not convey full meaning of anything.

We have been given the expression 4^{3} *4^{x} and we have to find the equivalent equations.

If we see that both bases are equal so we will add the power with only one base from which  4^{x+3} .

If we see that 4 has a power of 3 so we will open it and it becomes 4*4*4*[tex]4^{x}[/tex]

Hence the equivalent expressions are 4^{x+3} , 64*4^{x}.

Learn more about equivalent expressions at https://brainly.com/question/2972832

#SPJ2

Answer:

2 1/3 hours or 2 hours 20 minutes.

51.4 mph to 1 decimal place.

Step-by-step explanation:

Time = distance  speed

First 50 miles time taken = 50 / 60  = 5/6 hours

Second 50 miles  -  time  =  50/40 = 5/4 hours.

Final 20 miles - time taken =  20 / 80 = 1/4 hours.

Total time taken = 5/6 + 5/4 + 1/4

= 5/6 + 6/4

= 10/12 + 18/12

= 28/12

=  7/3 or 2 1/3 hours or 2 hours 20 minutes.

Average speed = total distance / total time

=  120 / 7/3

= 120 * 3/7

=  51.4 mph to 1 decimal place.

Answer:

This is just comparing what is bigger, I don't see what's so hard about it.

Step-by-step explanation:

1. >

2.>

3.>

4.>

5.<

6.<

7.>

8.<

b.

1.>

2.<

3.>

4.<

5.>

6.>

7.>

8.>