A game of chance is played using a six-sided die. If a 1,2 or 3 is rolled the player wins $0 if a 4 or 5 is rolled the player wins $7. If a 6 is rolled the player wins $10. If each play of the game costs 5$ what is the expected pay off?

Main answer: The majority of respondents who favored the legalization of marijuana identified as liberal or very liberal.

Supporting explanation: The table shows that out of the 486 respondents who favored the legalization of marijuana, 296 identified as liberal and 120 identified as very liberal. This means that 616 out of the 826 respondents who answered both questions identified as liberal or very liberal. On the other hand, only 60 respondents who favored the legalization of marijuana identified as conservative or very conservative. This suggests that there is a correlation between political leaning and views on the legalization of marijuana, with those on the left end of the political spectrum more likely to support it.

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Answer:

it has solution...........,......

Answer:

angle 2 would be 22

Step-by-step explanation:

The solution to the given system of linear equations is x = 4, y = 20

From the question, we are to determine solution to the given system of equations

The given system of equations is

x+y=6x=y+4

Thus, we can write that

x + y = 6x ----------- (1)

and

6x = y + 4 ------------(2)

Solve the two equations simultaneously

From equation (1)

x + y = 6x

y = 6x - x

y = 5x --------- (3)

Substitute into equation (2)

6x = y + 4

6x = 5x + 4

6x - 5x = 4

x = 4

Substitute the value of x into equation (3)

y = 5x

y = 5(4)

y = 20

Hence, the solution to the given system of linear equations is x = 4, y = 20

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Dan used a total of 5 17/24 gallons of gas on Saturday and Sunday combined.

To find the total number of gallons Dan used on Saturday and Sunday, we shall add the amount of gas he used each day.

On Saturday, Dan used 1 3/8 gallons.

On Sunday, Dan used 4 1/3 gallons.

To add these two amounts, we shall find a common denominator by determining the least common multiple (LCM) of 8 and 3 is 24.

Converting 1 3/8 to an improper fraction:

1 3/8 = (8 * 1 + 3) / 8 = 11/8

Converting 4 1/3 to an improper fraction:

4 1/3 = (3 * 4 + 1) / 3 = 13/3

Now we can add the fractions using a common denominator, which is 24 in this case:

Let's convert both fractions:

11/8 = (11 * 3) / (8 * 3) = 33/24

13/3 = (13 * 8) / (3 * 8) = 104/24

Now we can add the fractions:

33/24 + 104/24 = (33 + 104) / 24 = 137/24

So, simplifying the fraction, we have:

137/24 = 5 (remainder 17)

5 17/24 gallons.

Hence, Dan used a total of 5 17/24 gallons of gas on Saturday and Sunday combined.

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Answer:-55

Step-by-step explanation:

-11 times 5= -55

Linear Approximation:

L(x) ≈ 3 - 3x

A linear approximation is an estimation of a function using a tangent line at a specific point. In this case, we are given the function g(x) = 3/(1 + x) and we need to find its linear approximation, L(x), at a = 0.

To obtain the linear approximation, we first find the derivative of g(x) with respect to x. Taking the derivative of g(x) using the quotient rule, we get:

g'(x) = (-3)/(1 + x)²

Next, we evaluate g'(x) at x = 0 to find the slope of the tangent line at that point:

g'(0) = (-3)/(1 + 0)² = -3

The linear approximation, L(x), is given by the equation of the tangent line, which has the form y = mx + b, where m is the slope and b is the y-intercept. Plugging in the values we have:

L(x) = -3x + b

To find the y-intercept, we substitute x = 0 into the original function:

g(0) = 3/(1 + 0) = 3

Since the y-intercept of the tangent line matches the y-value of the function at that point, we have b = 3. Thus, the linear approximation is:

L(x) ≈ 3 - 3x

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Answer:

4 airplanes

Step-by-step explanation:

1 = 2/3

6 = x

cross multiply

x = 6 × 2/3

therefore x = 4

Answer:

4 airplanes

Step-by-step explanation:

1 =2/3

6 =×

you have to cross multiply

× =6×2/3

Therefore x=4

The probability that a randomly selecting a college student at Washington who either a male or a female is 33.3%

The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event might occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.

Classical: (equally probable outcomes) (equally probable outcomes) Let S be the sample space (the collection of all unique outcomes that might occur).

Subjective Probability. Definition of Relative Frequency.

Considering there are males, females and other genders

The probability that a randomly selecting a college student at Washington who either a male or a female is 33.3%

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Answer:

the car would use 49 gallons because you get a decimal of 49.49 so you would put got decimal to the nearest 1's place and that would be 49

Answer: Option (C): N′(1, 2), M′(−2, 1), O′(−1, 3).

Step-by-step explanation:

To reflect the preimage over x = -2, we can use the formula for reflecting a point (x, y) over a vertical line x = a:

(x', y) = (2a - x, y)

In this case, the vertical line is x = -2, so a = -2.

So we can find the image vertices as follows:

N' = (2(-2) - (-5), 2) = (4 + 5, 2) = (9, 2)

M' = (2(-2) - (-2), 1) = ( -4 + 2, 1) = (-2, 1)

O' = (2(-2) - (-3), 3) = (-4 + 3, 3) = (-1, 3)

Therefore, the image vertices of N'M'O' after reflecting the preimage over x = -2 are N'(9, 2), M'(-2, 1), O'(-1, 3). So the answer is option (c): N′(1, 2), M′(−2, 1), O′(−1, 3).

From the given information, cholesterol level X follows the N(222, 37) distribution.

The probability of having borderline high cholesterol (between 200 and 240 mg/dl) can be calculated by using the z-score formula as follows:

z = (x - μ) / σ

For lower limit x1 = 200, z1 = (200 - 222) / 37 = -0.595

For upper limit x2 = 240, z2 = (240 - 222) / 37 = 0.486

The probability of having borderline high cholesterol (between 200 and 240 mg/dl) can be computed as

P(200 ≤ X ≤ 240) = P(z1 ≤ Z ≤ z2) = P(Z ≤ 0.486) - P(Z ≤ -0.595) = 0.683 - 0.277 = 0.406

In this population, 90% of men have a cholesterol level that is at most X90.The z-score corresponding to a cholesterol level of X90 can be calculated as follows:

z = (x - μ) / σ

Since the z-score separates the area under the normal distribution curve into two parts, that is, from the left of the z-value to the mean, and from the right of the z-value to the mean.

So, for a left-tailed test, we find the z-score such that the area from the left of the z-score to the mean is 0.90.

By using the standard normal distribution table,

we get the z-score as 1.28.z = (x - μ) / σ1.28 = (X90 - 222) / 37X90 = 222 + 1.28 × 37 = 274.36 ≈ 274

The cholesterol level of 90% of men in this population is at most 274 mg/dl.

The distributions that we can consider to be approximately normal are the sampling distribution of mean BMI for random samples of 60 adults and the sampling distribution of mean BMI for random samples of 9 adults.

The reason for considering these distributions to be approximately normal is that according to the Central Limit Theorem, if a sample consists of a large number of observations, that is, at least 30, then its sample mean distribution is approximately normal.

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Answer: C. 78%

Step-by-step explanation:

simply divide 7 by 9 and move the decimal two places to the right and round!

Answer:

1

Step-by-step explanation:

sorry im late

they are the same

cos-x = cosx because cosine is an even function

Answer:

1.5x + 2

Step-by-step explanation:

(3x + 4)/2 = 1.5x + 2

Answer:

  40

Step-by-step explanation:

The number of tanks required is ...

  (4.8·10^5 L)/(1.2·10^4 L/tank) = (4.8/1.2)·10^(5-4) tanks

  = 4·10 tanks = 40 tanks

The cost of admission for 13 people is 260 dollars.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

An amusement park charges an admission fee of 20 dollars for each person.

Let C be the cost (in dollars) of admission for P people.

Then, Cost for P people = 20 P dollars

C = 20 P

and For P = 13

The cost of admission for 13 people = 13 x 20

                                                      = 260 dollars.

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Answer:no

Step-by-step explanation:

it’s equal to -10 + 10h by the commutativity of addition and subtraction

The system of equation to represents the relation between cakes and pie is given by 6x + 15y = 99 , x + y = 9.

The number of cakes sold is equal to 4.

Let x be the number of cakes sold

And y be the number of pies sold.

A cake costs $6

A pie costs $15,

Total revenue from selling x cakes and y pies is given by,

6x + 15y = total revenue

In one day the store sold 9 baked goods for a total of $99,

x + y = 9

System of equations in two variables,

6x + 15y = total revenue

x + y = 9

To solve for x, we can use substitution.

Solving the second equation for y, we get,

y = 9 - x

Substituting  into first equation, we get,

⇒6x + 15(9 - x) = 99

Simplifying and solving for x, we get,

⇒6x + 135 - 15x = 99

⇒-9x = -36

⇒x = 4

The store sold 4 cakes.

Number of pies sold,

x + y = 9

Substituting x = 4,

⇒4 + y = 9

⇒y = 5

store sold 5 pies

Therefore, from the system of equations 6x + 15y = 99, x + y = 9 the store sold 4cakes and5 pies.

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Answer:

x > -1

Step-by-step explanation:

8x - 4 > 3x - 9

5x - 4 > -9

5x > -5

x > -1

Answer:

40162.50

Step-by-step explanation:

The conditions are not met by the extreme outliers, hence we are unable to draw inferences based on the statistical output presented above.

So, option e is correct.

The null hypothesis, often known as H₀, is the assertion that there is no difference between two sets of data or variables under analysis, or that there is no relationship between them. Because there is no underlying causative relationship, the null hypothesis holds that any experimentally detected difference is merely the result of chance; therefore, the name "null."

We can create a z-test hypothesis by assuming that the amount of rain produced by thunderheads follows a distribution that is nearly normal:

300 acre feet is the null hypothesis for the average quantity of rain that thunderheads produce on their own without fertilizing the clouds.

Alternative Hypothesis: The amount of rain that thunderheads often produce by seeding the clouds is greater than 300 acre feet.

This test has a right tail.

So, The conditions are not met by the extreme outliers, hence we are unable to draw inferences based on the statistical output presented above.

So, option e is correct.

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Answer:

\(y=-\frac{1}{3}x+-7\)

Step-by-step explanation:

The graph shows a negative slope with 3 units in between each point.

Every 3 x-units, the y-unit goes up once.

Answer:

3) confirmed right triangle

4) not a right triangle

Step-by-step explanation:

3) 5^2 + 12^2 = 13^2

25 + 144 = 169

169 = 169

4) 4^2 + 10^2 = 20^2

16 + 100 = 400

116 does not equal 400

Answer:

I don't know.

Step-by-step explanation:

Disguised unemployment and seasonal unemployment are the same thing lol.

Answer:

Seasonal unemployment occurs as demands shift from one season to the next. This category can include any workers whose jobs are dependent on a particular season. Official unemployment statistics will often be adjusted or smoothed, to account for seasonal unemployment.

A disguise can be anything which conceals or changes a person's physical appearance, including a wig, glasses, makeup, fake moustache, costume or other items. Camouflage is a type of disguise for people, animals and objects. Hats, glasses, changes.

Answer:760

Step-by-step explanation:

Answer:

760

Step-by-step explanation:

A leaking faucet in the S&E building lab, dripping at a rate of one drop per second, will result in a water loss of approximately 4,725 liters in one year.

To calculate the amount of water lost in one year, we need to determine the number of drops per year and then convert it to liters. Since the faucet drips at a rate of one drop per second, there are 60 drops in a minute (60 seconds), which totals to 3,600 drops in an hour (60 minutes).

In a day, there would be 86,400 drops (24 hours * 3,600 drops). Considering a year of 365 days, the total number of drops would be approximately 31,536,000 drops (86,400 drops * 365 days). To convert the number of drops to liters, we need to multiply the total number of drops by the volume of each drop.

Given that each drop contains 0.150 milliliters, we convert it to liters by dividing by 1,000, resulting in 0.00015 liters per drop. Multiplying the total number of drops by the volume per drop, we find that the total water loss is approximately 4,725 liters (31,536,000 drops * 0.00015 liters/drop).

Therefore, in one year, the leaking faucet in the S&E building lab would result in a water loss of approximately 4,725 liters.

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Answer:

-16r^2 - 10r

Step-by-step explanation:

all you got to do is distribute

Area = 300 ft^2

Formula

Area = length of a side x length of a side

Substitution

300 = length of a side ^2

The length of a side is between 17 and 18

Answer:

The length of the side of the square is approximately \(17.32\) feet, which lies between the whole numbers \(17\) and \(18\).

Step-by-step explanation:

Step 1: Assume your variable

Since all the sides of a square are the same, let's consider the side to be the variable: \(x\).

Step 2: Create an equation

The formula for the area of a square is:

\(\text{Area}=\text{Side}^{2}\)

We have assumed the side to be \(x\), and the area is said to be \(300\), so substitute these values into the formula:

\(\text{Area}=\text{Side}^{2}\\300=x^{2}\)

Step 3: Solve the equation

Using the formula for the area of a square, we came to find an equation:

\(x^{2}=300\)

Now, let's find the value of \(x\):

\(x^{2}=300\\\\\text{Square root both sides of the equation:}\\\sqrt{x^{2}}=\sqrt{300}\\\\\text{Simplify:}\\x=\sqrt{300}\\\\\text{Calculate:}\\x\approx 17.32\)

The length of the side of the square is approximately \(17.32\) feet.

As we know, this number lies between \(17\) and \(18\).