In a gambling game, you roll 2 die and if you toss 2 sixes, you win $100, otherwise you lose $5.
a. What is the chance you win?
b. What is the expected value of the game?

Answer:

Step-by-step explanation:

Moon- 109 / 4

Saturn- 59 / 1 , 177 / 3

Venus- 243 / 1 , 729 / 3

Answer:

Moon : 27.3/1

109.2/4

218/8

Saturn : 59/1

177/3

295/5

Venus : 243/1

486/2

729/3

Step-by-step explanation:

Hope this helps

9514 1404 393

Answer:

Step-by-step explanation:

Let b and c represent the rates of the boat and current, respectively. Then the upstream rate is ...

  speed = distance/time

  b -c = (116 km)/(4 h) = 29 km/h

  b +c = (164 km)/(4 h) = 41 km/h

Adding these equations gives ...

  2b = 70 km/h

  b = 35 km/h

Substituting into the first equation, we have ...

  35 -c = 29

  c = 6

Rate of the boat: 35 km/h.

Rate of the current: 6 km/h

Answer:

n + (n + 1)= 427

2n + 1 = 427

2n = 427

= 213

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

i hope this helps :)

Answer:

.where is the explanation?

The maximum height of the golf ball on Mars is about 48.8 meters.

To find how much longer it would take for the golf ball hit on Mars to reach the ground, we can use the given equation h = -1.9t² + 26t, where h is the height of the object and t is the time in seconds. First, we need to find the time it takes for the golf ball to reach the ground on Mars. Setting h = 0, we get:

0 = -1.9t² + 26t

Solving for t using the quadratic formula, we get t = 13.684 or t = 0.856. Since the golf ball is launched upward, we need the positive value of t, so it takes about 13.7 seconds for the golf ball to reach the ground on Mars. Therefore, it takes 13.7 − 5.4 = 8.3 seconds longer for the golf ball hit on Mars to reach the ground than the golf ball hit on Earth.

To find the maximum height of the golf ball on Mars, we can use the formula h = -1.9t² + 26t, where t is the time when the height is maximum. Since the formula is a quadratic equation, the maximum height occurs at the vertex of the parabola, which is at t = -b/2a.

In this case, a = -1.9 and b = 26, so the time at maximum height is t = -26 / 2(-1.9) = 6.842. Plugging this value into the equation for h, we get:

= -1.9(6.842)² + 26(6.842) ≈ 48.8 meters

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Answer:

D. 28

Step-by-step explanation:

We are given the following polynomial function:

\(F(x) = x^2 - 2x - 7\)

Find F(-5).

This is the value of F for which \(x = -5\). So

\(F(-5) = (-5)^2 - 2(-5) - 7 = 25 + 10 - 7 = 28\)

28, which means that the correct answer is given by option D.

Answer:

Tenths

Hope this helps :)

Answer:

tenths

Step-by-step explanation:

Answer:

20 sales.

Step-by-step explanation:

p(x) = x² + 18x – 160

Here p(x) represents the net pay.

Given that p(x), net pay is $600

x² + 18x – 160 = 600

x² + 18x – 160 - 600 = 0

x² + 18x – 760 = 0

x² +38x - 20x - 760 = 0

x(x+38) - 20(x+38) = 0

(x-20)(x+38) = 0

x = -38, 20

x = 20

Therefore, she makes 20 sales in order to make $600.

Answer: 20 sales.

Proof of validity is shown below.

Answer:

-8 yd. lost in football

Step-by-step explanation:

Answer:

175792

Step-by-step explanation:

8 x 2 = 16

16 x 10987 = 175792

The slope which shows  the cost per guest is $35 per guest

The given cost for 50 guests is $2150.

The cost for 75 guests is $3025.

It can also be represented as:

(Guest, Cost) =(50, $2150) & (75, $3025)

The slope can now be calculated as

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (50, $2150) & (75, $3025)

Substituting the given values in the equation as follows:

Slope = (3025 - 2150)/(75 - 50)

Slope = 35

Hence, the slope is $35 per guest.

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Answer:

dddddd okaksy ogvurn

Step-by-step explanation:

d

The dilation of pentagon KLMNP with the origin as the center of dilation results in a new pentagon that is either larger or smaller than the original, but has the same shape. The size of the new pentagon is determined by the scale factor of the dilation.

If the scale factor is greater than 1, the new pentagon will be larger than the original. If the scale factor is less than 1, the new pentagon will be smaller than the original. If the scale factor is equal to 1, the new pentagon will be the same size as the original.

To find the coordinates of the new pentagon, we can use the formula (x', y') = (kx, ky), where (x, y) are the coordinates of a point on the original pentagon, (x', y') are the coordinates of the corresponding point on the new pentagon, and k is the scale factor.

For example, if the coordinates of point K on the original pentagon are (2, 3) and the scale factor is 2, the coordinates of point K on the new pentagon would be (2*2, 3*2) = (4, 6).

We can use this formula to find the coordinates of all the points on the new pentagon and then use those coordinates to draw the new pentagon.

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1 1/2 = 3/2

3/2 ÷ 5 =

3/2 * 1/5 = 3/10

The value of x is 33.2

Similar triangles are triangles that have the same shape, but their sizes may vary. The corresponding angles of similar triangles are congruent or equal.

Also the ratio of corresponding sides of similar triangles are equal.

Therefore;

Triangle EHG and EFG are similar

39/36 = 36/x

36 × 36 = 39x

39x = 1296

divide both sides by 39

x = 1296/39

x = 33.2

Therefore the value of x is 33.2

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Answer:

11.3

Step-by-step explanation:

1.1 + 4.1 = 5.2

5.2 + 6.1 = 11.3

The value οf P(x > 104) is 0.1587 οr apprοximately 15.87%.

Prοbability is the study οf the chances οf οccurrence οf a result, which are οbtained by the ratiο between favοrable cases and pοssible cases.

Tο find the prοbability οf P(x > 104) fοr a nοrmal distributiοn with mean οf 98 and standard deviatiοn οf 6, we need tο standardize the value οf 104 using the fοrmula:

z = (x - μ) / σ

where z is the standard scοre, x is the value we want tο find the prοbability fοr, μ is the mean οf the distributiοn and σ is the standard deviatiοn.

Plugging in the values, we get:

z = (104 - 98) / 6 = 1

Nοw we need tο find the area tο the right οf this value οn the standard nοrmal distributiοn table οr calculatοr.

Using a standard nοrmal distributiοn table οr calculatοr, we find that the area tο the right οf z = 1 is 0.1587.

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She will consume 4 tablets of Glucotrol, each of amount 5 mg.

Given is that the pharmacy only has 5 mg of Glucotrol tablets.

Since only 2.5 mg of dose is needed per day, so she can split a single tablet of 5 mg into two equal halves. So, for 8 days, she would take -

n = 8/2 = 4 tablets of 5mg each

n = 4 {5mg each}

Therefore, she will consume 4 tablets, each of amount 5 mg.

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Answer:

x = 9

Step-by-step explanation:

Use Vertical Angles and Supplementary Angles to put all the given information inside the triangle.

Then use the idea that the three angles in a triangle add up to 180° to write an equation.

see image.

Actually also--shortcut! The 150° is an exterior angle, so it is equal to the

90° + 5x+15

90 + 5x + 15 = 150

this calculation comes out the same as the other.

Answer:

  x = 9

Step-by-step explanation:

Given a right triangle with an exterior angle of 150°, and a vertical angle to the other acute angle marked as 5x+15, you want to solve for x.

The exterior angle is equal to the sum of the remote interior angles. One of those is the right angle; the other is a vertical angle with respect to the one marked 5x+15. So, we have ...

  150 = 90 + (5x +15)

  45 = 5x . . . . . subtract 105

  9 = x . . . . . . divide by 5

The value of x is 9.

Answer:

posistive i think welp hope this helps :D

Step-by-step explanation:

Answer:

4-5 * (x)

'a number' is any variable, 'x' for example

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Define Rotation

Rotation does not affect the measures of the corresponding sides of a triangle and its image. Neither does it affect the measures of the angles.

STEP 2: Write the corresponding sides

STEP 3: Write the measures of the angles

From the explanation in Step 2, therefore, the true statement from the options is "Segment DE is congruent to segment LM"

Answer:

1. A

2. B

3. C

Step-by-step explanation:

......................

\(\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=15\pi \end{cases}\implies 15\pi =2\pi r\implies \cfrac{15\pi }{2\pi }=r\implies \cfrac{15}{2}=r \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2 \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=\frac{15}{2} \end{cases}\implies A=\pi \left( \cfrac{15}{2} \right)^2\implies A=\cfrac{225\pi }{4}\implies A=56.25\pi\)

Answer:

? = 18

Step-by-step explanation:

Answer:

? = 18

Step-by-step explanation:

d^?/d^11 = d^7

d^? = d^11*d^7

d^? = d^(11+7)

d^? = d^18

? = 18

The distance between the points (-8,-9) and (-4,-10) is 4.12 units

The distance between two points is the number of units between them

The points are given as

(-8,-9) and (-4,-10)

The distance formula is given as

d = √(x₂ - x₁)² + (y₂ - y₁)²

Substitute the given points in the above distance formula

So, we have

d = √(-8 + 4)² + (-9 + 10)²

Evaluate the difference and the sum

d = √(-4)² + (1)²

Evaluate the exponents

d = √16 + 1

Evaluate the sum

d = √17

This gives

d = 4.12

Hence, the distance is 4.12 units

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Answer:

The null hypothesis: m >= 863 calories

(School lunches average 863 calories.)

The alternative hypothesis: m < 863 calories.

(average calories content of school lunches dropped significantly)

Step-by-step explanation:

School lunches average 863 calories.

The claim: After the testing period end, the average calories content of Virginia school lunches dropped significantly.

Let m be average calories content of Virginia school lunches.

The null hypothesis: m >= 863 calories

(School lunches average 863 calories.)

The alternative: m < 863 calories.

(average calories content of school lunches dropped significantly)