The probability that a person picks a terrible movie to watch with their friends online is 0.20. Assuming independent outcomes, what is the probability that two people pick a terrible movie to watch with their friends

Evan can play 2 games of mini golf and 9 games of kart track.

Given that Evan's mom gave him 11 tickets and left in game zone for 3 hours,

He can spend 1 ticket on one game, and he spend 10 minutes in kart track and a game of mini golf lasts 45 minutes.

We need to find how many games he played of both the games,

So, let he played x games of kart track and y games of mini golf,

So,

x + y = 11

x = 11 - y.............(i)

10x + 45y = 180...........(ii) [ ∵ 3 hours = 180 minutes]

Use the equation i in ii,

So,

10(11-y) + 45y = 180

110 - 10y + 45y = 180

35y = 70

y = 2

Put y = 2 in equation 1,

x = 11-2

x = 9

Hence he played 2 games of mini golf and 9 games of kart track.

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The expression that is equivalent to the expression, \((\frac{4m^5n^2}{m^2n} )^3\) is the expression, \(64m^9n^3\).

If two expressions are equivalent to each other, it means the value of each of them are the same when simplified or evaluated in their simplest form.

Given the expression,

\((\frac{4m^5n^2}{m^2n} )^3\)

Evaluate the expression in its simplest form

\((\frac{4m^5n^2}{m^2n} )^3 = (4m^3n^1)^3\)

Multiply the exponents in the bracket by the one outside, then find the cube of 4.

\(64m^9n^3\)

Therefore, \((\frac{4m^5n^2}{m^2n} )^3\) is equivalent to \(64m^9n^3\).

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The mean of the given frequency distribution is 25, which is calculated by finding the weighted average of the class intervals based on their frequencies.

The given frequency distribution represents a set of data with different class intervals and their corresponding frequencies. To find the mean, we need to calculate the midpoint of each class interval and then compute the weighted average.

Let's calculate the midpoint for each class interval:

10-14: (10 + 14) / 2 = 12

15-19: (15 + 19) / 2 = 17

20-24: (20 + 24) / 2 = 22

25-29: (25 + 29) / 2 = 27

30-34: (30 + 34) / 2 = 32

Now, let's calculate the weighted average:

Mean = (midpoint1 * frequency1 + midpoint2 * frequency2 + ... + midpointn * frequencyn) / (frequency1 + frequency2 + ... + frequencyn)

Mean = (12 * 1 + 17 * 2 + 22 * 5 + 27 * 8 + 32 * 4) / (1 + 2 + 5 + 8 + 4)

Mean = (12 + 34 + 110 + 216 + 128) / 20

Mean = 500 / 20

Mean = 25

Therefore, the mean of the given frequency distribution is 25.

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Answer:

A) solutions (1,-2) & (-1,-8)

Step-by-step explanation:

i just used desmos, so im sorry that im not able to explain

Adam Vinatieri made 14 field goals and 7 extra points.

Given that,

a field goal is 3 points and the field goal after a touchdown is only 1 point.

Adam Vinatieri made 21 field goals and extra point kicks for 49 points.

Let x be the number of field goals and y be the extra point kicks.

So we get,

x + y = 21 -------------(1)

3x + y = 49 -----------(2)

Subtracting equation (1) from equation (2),

2x = 28

 x = 14

putting the value of x in equation (1),

14 + y = 21

       y = 7

Therefore Adam Vinatieri made 14 field goals and 7 extra points.

Field goal means a score of three points in football made by drop kicking or placekicking the ball over the crossbar from ordinary play. A field goal is a successful kick of the ball by a kicker through the goalpost. It is an offensive play that can score three points for a team.

Adam Vinatieri is an American former football placekicker who played in the National Football League.

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Answer:

35$

Step-by-step explanation:

Set up a proportion

5hr=25

7hr=x

Cross multiply

5x=175

divide both sides by 5

x=35$

X=32

A HOPE IT HELP:)

WHEN IF I'M WRONG,CORRECT MY ANSWER:)

The cost of 1 liter for the small and medium cans is 4.4 and 2.4.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

As,  

Small can: A 200 ml can costs £0.88.

Medium can: A 500 ml can costs £1.32.

Large can: A 1 litre can costs £3.60.

Now, 200 ml = 0.2 l

500 ml = 0.5 l

For 0.2 l = 0.88

For 1 l= 0.88/0.2

For 1 liter = 4.4

For 0.5l medium can = 1.32

For 1 l medium can= 1.32/0.5

For 1 l medium can = 2.4

Hence, cost of 1 liter for the small can is £ 0.88 the cost of 1 liter for the medium can is £ 2.4.

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a. When evaluating a model, we use R2 as a parameter for performance assessment.

b. If model A has a higher MAPE but model B has a higher R2, we choose the model with the higher R2 for better overall performance.

c. For accuracy measures, we typically use MAPE (Mean Absolute Percentage Error) due to its interpretability and ability to capture relative errors.

When evaluating a model's performance, it is crucial to choose the appropriate parameters to assess its accuracy and reliability. In the case of MAPE (Mean Absolute Percentage Error) and R2 (Coefficient of Determination), the choice between them depends on the specific evaluation goals.

The R2 parameter is commonly used for evaluating models because it measures the proportion of the dependent variable's variance that can be explained by the independent variables. R2 provides insights into how well the model fits the data and captures the relationship between the input features and the target variable. Therefore, R2 is a suitable parameter to use when evaluating a model.

When comparing two models, if model A has a higher MAPE but model B has a higher R2, it is advisable to choose the model with the higher R2 value. This is because R2 indicates the proportion of variance explained, suggesting that model B performs better in capturing the underlying patterns and predicting the target variable.

Although model A may have a lower relative error (MAPE), it is crucial to prioritize the model's ability to explain and predict the target variable accurately.

Among MAPE, MAD (Mean Absolute Deviation), and MSD (Mean Squared Deviation), MAPE is commonly preferred as a parameter for accuracy measures. MAPE calculates the average percentage difference between the predicted and actual values, making it interpretable and easily understandable.

It captures relative errors and enables comparisons across different scales and datasets. MAD and MSD, on the other hand, measure absolute and squared errors, respectively, but they do not account for the relative magnitude of the errors. Hence, MAPE is a more suitable parameter for accuracy measures.

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Answer:

Waves transfer energy, but not matter.

Waves transfer energy from one point to another without moving matter.

i hoped this helped

Answer:

1) is 15.

2) is 4.

Step-by-step explanation:

hope this helps :)

Answer:

8,-7 is over in ll

-3,-7 is over in 4

thatsone big difference

lmk if this helped

The discount on the game console is 15.89% of the selling price.

To find the discount as a percentage of the selling price, we first need to calculate the discount amount. This can be found by subtracting the selling price from the original price:

Discount = Original Price - Selling Price

Discount = $428 - $360

Discount = $68

Next, we can calculate the discount as a percentage of the selling price by dividing the discount amount by the selling price and multiplying by 100:

Discount % = (Discount / Selling Price) * 100

Discount % = ($68 / $428) * 100

Discount % = 0.1589 * 100

Discount % = 15.89%

Therefore, the discount on the game console is 15.89% of the selling price.

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Answer:

x = 27

Step-by-step explanation:

From the picture attached,

m∠PLM + m∠PLK = 180° [Linear pair of angles are supplementary]

m∠PLM + 3x = 180°

m∠PLM = 180° - 3x

Similarly, m∠PML + m∠PMN = 180° [Linear pair of angles]

m∠PML + (2x + 72)° = 180°

m∠PML = 180° - (2x + 72)°

From triangle PLM.

m∠PLM + m∠PML + m∠LPM = 180° [Sum of interior angles of a triangle = 180°]

(180 - 3x) + 180 - (2x + 72) + x = 180

180 - 3x - 2x - 72 + x = 0

-4x + 108 = 0

x = \(\frac{108}{4}\)

x = 27

Answer:

hey guys depending on where you answer it if it is online please please please don't forget to add the degrees mark

Step-by-step explanation:

This is the right answer

We assume that with a linear relationship between two variables, for any fixed value of x, the observed residuals follows a normal distribution.

This assumption is based on the Central Limit Theorem, which states that when the sample size is large enough, the distribution of sample means will be approximately normal, regardless of the shape of the underlying population distribution.

In the case of a linear relationship between two variables, we can assume that the residuals (the difference between the observed y values and the predicted values based on the linear regression model) follow a normal distribution with mean 0 and constant variance. This assumption is important because it allows us to use statistical methods that rely on normality, such as hypothesis testing and confidence intervals.

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Answer:

A reflection over the line y = x followed by a translation up 3 units

Step-by-step explanation:

Since this is a multiple choice question, let's test each answer out.

First scenario:

"A reflection over the y-axis followed by a translation right 3 units and down 4 units"

Resulting segment does not match segment X'Y', this answer is incorrect

Second scenario:

"A reflection over the line y = x followed by a translation up 3 units"

Resulting segment matches segment X'Y', this is the correct answer.

Answer:

y = -0.613x + 4.141

Step-by-step explanation:

Took the test

The line of best fit for the data is : \(\( y = -0.61299x + 4.14157\)\).

Thus, option (C) is correct.

To find the line of best fit for the given data, use linear regression to calculate the equation of the line in the form of "y = mx + b," where "m" is the slope and "b" is the y-intercept.

The formula for calculating the slope (m) and y-intercept (b) is as follows:

\(\[ m = \frac{n(\sum(xy)) - (\sum x)(\sum y)}{n(\sum(x^2)) - (\sum x)^2} \]\)

\(\[ b = \frac{\sum y - m(\sum x)}{n} \]\)

where n is the number of data points (in this case, n = 7).

Let's calculate the values to find the line of best fit:

\(\[ \sum x = 2 + 3.5 - 1.4 + 4.2 + 0 - 2.8 + 1.5 = 7 \]\)

\(\[ \sum y = 2.9 + 2 + 4.8 + 1.5 + 4 + 6 + 3.5 = 24.7 \]\)

\(\[ \sum(xy) = (2 \times 2.9) + (3.5 \times 2) + (-1.4 \times 4.8) + (4.2 \times 1.5) + (0 \times 4) +\)

            \((-2.8 \times 6) + (1.5 \times 3.5) = 0.83\)

\(\[ \sum(x^2) = 2^2 + 3.5^2 + (-1.4)^2 + 4.2^2 + 0^2 + (-2.8)^2 + 1.5^2\)

            = 45.94

Now, substitute the values into the slope and y-intercept formulas:

\(\[ m = \frac{7(0.83) - (7)(24.7)}{7(45.94) - (7)^2} \]\)

\(\[ m = \dfrac{-167.09}{272.58} \]\)

m = -0.61299

ans, \(\[ b = \dfrac{24.7 - (-0.61299)(7)}{7} \]\)

\(\[ b = \dfrac{28.99093}{7} \]\)

b= 4.14157

So, the line of best fit is : \(\( y = -0.61299x + 4.14157\)\)

Thus, option (C) is correct.

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The height of the flagpole is 12.9 feet to the nearest tenth.

The ratio is a numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.

Given:

The boy is 5' 3" tall and his shadow is 4 feet.

The shadow of the flagpole is 17 feet.

The boy is 5.25 feet tall.

Let the height of the flagpole is h feet.

So,

17/h = 5.25/4

h = 68/5.25

h = 12.95

h = 12.9 to one decimal place.

Therefore, h = 12.9 to one decimal place.

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Answer:

$210.04

Step-by-step explanation:

To identify what the tip is, let's multiply 178 by 18/100.

Multiply $178 by 18/100:

Product: 32.04

Add 32.04 to $178:

32.04 + 178 = 210.04

$210.04 is what the owner has to pay, including the tip.

Answer:

If the truck's value dropped 15% each year, after one year the value of the truck is 22000*(1-0.15) = $18700

After the second year, the value of the truck would be 18700*(1-0.15) = $15995

After the third year, the value of the truck would be 15995*(1-0.15) = $13596.75

Rounding the answer to the nearest dollar, the value of the truck after 3 years is $13597

The limit of log base 3 of (3^n) as n approaches infinity is infinity. To calculate the limit of log base 3 of (3^n) as n approaches infinity, we can rewrite the expression using the properties of logarithms.

The given expression can be written as:

log base 3 of (3^n) = n

As n approaches infinity, the value of n increases without bound. Therefore, the limit of n as n approaches infinity is also infinity.

Therefore, the limit of log base 3 of (3^n) as n approaches infinity is infinity.

The limit of log base 3 of (3^n) as n approaches infinity is infinity.

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$7.50

The expected amount paid to the player is $7.50. This is calculated by taking the probability of each outcome multiplied by the amount paid for that outcome, and then summing them all together. The probabilities are as follows:

The expected amount paid is therefore: (0.75 x $5) + (0.0625 x $10) + (0.0039 x $20) + (0.0001 x $30) + (0.00001 x $50) = $7.50

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Answer:

w = 3 cm

Step-by-step explanation:

The area (A) of the triangle is calculated as

A = \(\frac{1}{2}\) bh ( b is the base and h the height )

Here b = 5 and h = 6 , then

A = \(\frac{1}{2}\) × 5 × 6 = \(\frac{1}{2}\) × 30 = 15 cm²

Now the area of the rectangle is 15 cm²

area = length × width , that is

5w = 15 ( divide both sides by 5 )

w = 3 cm

Answer:

2.5

Step-by-step explanation:

equation the two areas in an equation and they are equal

\( \frac{1}{2} base \times height = length \times \: width\)

but the width is w

substituting the values,

\( \frac{1}{2} (6)(5) = 6 \times w \\ 15 = 6w \\ w = \frac{15}{6 =} = \frac{5}{2 } = 2.5\)

Answer:

Step-by-step explanation:

The equation for the transformed logarithm that passes through the points (3,0) and (0,2) can be written as f(x) = -b * log(base a)(x - h) + k, where a, b, h, and k are constants to be determined.

To find the equation for the transformed logarithm, we need to use the given points (3,0) and (0,2) to determine the values of a, b, h, and k. Let's start with the point (3,0). Plugging the x-coordinate (3) into the equation, we have:

0 = -b * log(base a)(3 - h) + k

Next, we'll use the point (0,2) to obtain another equation. Plugging the x-coordinate (0) into the equation, we get:

2 = -b * log(base a)(0 - h) + k

Simplifying these equations, we have a system of equations to solve for a, b, h, and k. However, since the equation involves a logarithm, we need more information to determine the specific values of a, b, h, and k.The transformed logarithm function includes transformations such as vertical stretches/compressions (b), horizontal shifts (h), and vertical shifts (k). Without more specific information about these transformations or the base of the logarithm, it is not possible to determine the equation uniquely.

In general, the equation for a transformed logarithm can be written as f(x) = -b * log(base a)(x - h) + k, where a, b, h, and k are constants determined by the specific transformations applied to the logarithm function. It's important to have additional information or instructions to determine the values of a, b, h, and k and provide an equation that accurately represents the given transformed logarithm.

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Standard form of the number 3.5 × 10⁷ is 35000000.

In the United States and countries using US conventions, the standard form is the usual way of writing numbers in decimal notation.

The standard form of a number is a way of writing the number in a form that follows certain rules. Any number that can be written as a decimal number.

Given number

3.5 × 10⁷

In standard form, digits are written left or right of decimal

number can be written as

= 35000000

Hence, 35000000 is standard form of the number 3.5 × 10⁷.

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Answer:

The exact coordinates of the point where the line through B and D intersects the y-axis is \(\left ( 0, \ -12\dfrac{5}{7} \right)\)

Step-by-step explanation:

For the given question, we have the following parameters;

The shape of the quadrilateral ABCD in the question = A rhombus

The diagonals of the rhombus = AC and BD

The point of intersection of the diagonals, M = (6, -11)

The equation of the line points A and C lie = 2·y + 7·x = 20

A rhombus is an orthodiagonal quadrilateral (The diagonals of a rhombus are perpendicular)

Therefore;

AC ⊥ BD  and where the slope of the line with points A and C is 'm', the slope of the line with points B and D is (-1/m)

Rewriting the equation, 2·y + 7·x = 20, in slope and intercept form, we have;

2·y + 7·x = 20

y = (- 7·x + 20)/2 = -7·x/2 + 10

∴ y = -7·x/2 + 10

The slope of the line 'y = -7·x/2 + 10', m = -7/2

∴ The slope of the line having the points B and D is -1/m = -1/(-7/2) = 2/7

The equation of the line having the points B and D in point and slope form, using point (6, -11) is given as follows;

y - (-11) = 2/7 × (x - 6)

y + 11 = 2·x/7 - 12/7

∴ y = 2·x/7 - 12/7 - 11 = 2·x/7 - 89/7 = 2·x/7 - \(12\dfrac{5}{7}\)

The equation of the line having the points B and D in point is therefore;

y = 2·x/7 - \(12\dfrac{5}{7}\)

The coordinates of the point where the line having the points B and D intersects the y-axis is the y-intercept, of the equation,  y = 2·x/7 - \(12\dfrac{5}{7}\), which is \(\left ( 0, \ -12\dfrac{5}{7} \right)\)

\(\bold{\huge{\purple{\underline{ Solution }}}}\)

Show that,

\(\bold{\dfrac{ 2}{2x+11}}{\bold{-}}{\bold{\dfrac{ 1}{x - 4}}}{\bold{=}}{\bold{\dfrac{1}{2}}}\)

Simplifies to,

\(\bold{ 2x² + 3x - 6 = 0 }\)}

Here, We have to show that,

\(\bold{\blue{\dfrac{ 2}{2x+11}}}{\bold{\blue{-}}}{\bold{\blue{\dfrac{ 1}{x - 4}}}}{\bold{\blue{ = }}}{\bold{\blue{\dfrac{1}{2}}}}{\bold{\blue{= 2x² + 3x - 6 = 0}}}\)

\(\bold{\dfrac{ 2}{2x+11}}{\bold{-}}{\bold{\dfrac{ 1}{x - 4}}}{\bold{=}}{\bold{\dfrac{1}{2}}}\)

\(\sf{\dfrac{ 2(x-4) - 1(2x + 11)}{(2x+11)(x-4)}}{\sf{=}}{\sf{\dfrac{1}{2}}}\)

\(\sf{\dfrac{ 2x - 8 - 2x - 11)}{2x(x-4)+11(x - 4)}}{\sf{=}}{\sf{\dfrac{1}{2}}}\)

\(\sf{\dfrac{ - 19 }{2x² -8x + 11x - 44}}{\sf{=}}{\sf{\dfrac{1 }{2}}}\)

\(\sf{\dfrac{ - 19 }{2x² + 3x - 44}}{\sf{= }}{\sf{\dfrac{1}{2}}}\)

\(\sf{ - 19 × 2 = 2x² + 3x - 44}\)

\(\sf{ - 38 = 2x² + 3x - 44 }\)

\(\sf{ 0 = 2x² + 3x - 44 + 38}\)

\(\bold{ 2x² + 3x - 6 = 0 }\)

Hence, It is proved

\(\bold{\dfrac{ 2}{2x+11}}{\bold{-}}{\bold{\dfrac{ 1}{x - 4}}}{\bold{ = }}{\bold{\dfrac{1}{2}}}{\bold{= 2x² + 3x - 6 = 0 }}\).

The required equation has been proved as shown

We are to show that 2/(2x+11) - 1/(x-4) = 1/2

Find the LCM of the expression

\(\frac{2(x-4)-(2x+11)}{(2x+11)(x-4)}=\frac{1}{2}\\ \frac{2x-8-2x-11}{(2x+11)(x-4)}=\frac{1}{2}\\\)

Cross multiply

(2x+11)(x-4) = -19(2)

2x^2 -8x + 11x - 44 = -38

2x^2 + 3x = -38 + 44

2x^2 + 3x = 6

2x^2 + 3x - 6 = 0 (prove)

The required equation has been proved

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The total number of possible outcomes when flipping a coin 8 times is 2^8 = 256.

a. To get exactly 6 heads, we need to choose 6 out of the 8 flips to be heads, and the remaining 2 flips to be tails. The number of ways to choose 6 out of 8 is given by the binomial coefficient (8 choose 6) = 28. Therefore, there are 28 possible outcomes with exactly 6 heads.

b. To get at least 3 heads, we need to count the number of outcomes with 3, 4, 5, 6, 7, or 8 heads. Using the same logic as part (a), we can count the number of outcomes with each of these numbers of heads and add them up to get the total number of outcomes with at least 3 heads.

Number of outcomes with 3 heads: (8 choose 3) = 56

Number of outcomes with 4 heads: (8 choose 4) = 70

Number of outcomes with 5 heads: (8 choose 5) = 56

Number of outcomes with 6 heads: (8 choose 6) = 28

Number of outcomes with 7 heads: (8 choose 7) = 8

Number of outcomes with 8 heads: (8 choose 8) = 1

Total number of outcomes with at least 3 heads = 56 + 70 + 56 + 28 + 8 + 1 = 219.

c. To get at most 6 heads, we need to count the number of outcomes with 0, 1, 2, 3, 4, 5, or 6 heads. Using the same logic as part (b), we can count the number of outcomes with each of these numbers of heads and add them up to get the total number of outcomes with at most 6 heads.

Number of outcomes with 0 heads: (8 choose 0) = 1

Number of outcomes with 1 head: (8 choose 1) = 8

Number of outcomes with 2 heads: (8 choose 2) = 28

Number of outcomes with 3 heads: (8 choose 3) = 56

Number of outcomes with 4 heads: (8 choose 4) = 70

Number of outcomes with 5 heads: (8 choose 5) = 56

Number of outcomes with 6 heads: (8 choose 6) = 28

Total number of outcomes with at most 6 heads = 1 + 8 + 28 + 56 + 70 + 56 + 28 = 247.

d. To get at most 2 heads, we need to count the number of outcomes with 0, 1, or 2 heads. Using the same logic as parts (b) and (c), we can count the number of outcomes with each of these numbers of heads and add them up to get the total number of outcomes with at most 2 heads.

Number of outcomes with 0 heads: (8 choose 0) = 1

Number of outcomes with 1 head: (8 choose 1) = 8

Number of outcomes with 2 heads: (8 choose 2) = 28

Total number of outcomes with at most 2 heads = 1 + 8 + 28 = 37.

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