At a carnival game, you may win an inflatable crayon, you may win a small stuffed animal, or you may win nothing at all. If the probability of winning nothing is 0.71 and the probability of winning a small stuffed animal is 0.17, what is the probability of winning an inflatable crayon? Express your answer as a decimal.

0.83
0.88
0.29
0.12

The dimensions of the rectangle are y - 4y−4 for the length and 3y3y for the width

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The correlation in error terms that arises when the error terms at successive points in time are related is termed autocorrelation

The correct answer is an option (a).

Correlation is the mutual connection between two or more variables. These variables can be dependent or independent but there should be random variables.

Autocorrelation is the degree of correlation between the values of the same variables across different data.

Instead of correlation between two different variables, the correlation is between two values of the same variable at times i and i + k.

It is used for the following two purposes:

- To detect non-randomness in data.

- To identify an appropriate time series model if the data are not random.

Therefore, The correlation in error terms that arises when the error terms at successive points in time are related is termed autocorrelation

The correct answer is an option (a).

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At Station Y, 15 litres of gasoline would cost £18.

Cost is the amount of money spent by a business to produce or create goods or services. It excludes the profit margin markup. Cost is the sum of money spent on making a good or product, as seen from the seller's perspective.

Ellie must have visited Station Y because she paid $24 for 20 litres of gasoline, proving that she did.

b) We can observe from the graph that 20 litres of gasoline at Station Y costs £24. With the help of this data, we can calculate how much a litre of gasoline costs:

Cost of 1 litre of petrol = Cost of 20 litres of petrol / 20

Cost of 1 litre of petrol = £24 / 20

Cost of 1 litre of petrol = £1.20

Therefore, 15 litres of petrol at Station Y would cost:

Cost of 15 litres of petrol = Cost of 1 litre of petrol x 15

Cost of 15 litres of petrol = £1.20 x 15

Cost of 15 litres of petrol = £18

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Answer: A is 88

Step-by-step explanation: Sum of all angles is 180 degree.

Let the third interior angle be x.

38+50+x=180

88+x=180

x= 92

A and X are in linear pair.

A+X=180

A+92=180

A=88

The intervals over which  it is increasing or decreasing is:

Increasing on: (\(-\infty\), -1)

Decreasing on: (-1, \(\infty\))

The definitions for increasing and decreasing intervals are given below.

The function is :

\(f(x)=-x^2-2x+3\)

We have to find the interval of function is decrease/increase .

Now, We have to first differentiate with respect to x , then:

f'(x) = - 2x + 2

This derivative is never 0 for real x.

In order to determine the intervals over which  it is increasing or decreasing.

Increasing on: (\(-\infty\), -1)

Decreasing on: (-1, \(\infty\))

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Answer:

25

Step-by-step explanation:

f(x)= 3x-5

Let x= 10

f(10)= 3*10-5

     = 30-5

     = 25

The probability that he misses the train today is 0.135 or 13.5%.

P(Class runs late)=30%=0.30

P(Miss train ∣ Class runs late)=45%=0.45

General multiplication rule:

P(A and B)=P(A)×P(B ∣ A)

Using the general multiplication rule, we then obtain (and using that the student always catches his train if the class ends on time) :-

P( Miss train)=P( Miss train and Class runs late)=P(Class runs late)×P(Miss train ∣ Class runs late)

= 0.30×0.45

= 0.135

= or 13.5%.

So, the the probability that he misses the train today is 0.135 or 13.5%.

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Answer:

4. rise

match the following definition with the correct term:

the vertical distance between two points on a line

1. run

2. rate of run

3. slope

4. rise

The value of the measure of each sides indicated are:

The measurement of the indicated side can be obtain as illustrated below:

1. The value of x can be obtain as follow:

Tan θ = Opposite / Adjacent

Tan 20 = x / 11

Cross multiply

x = 11 × Tan 20

Value of x = 4

2. The value of x can be obtain as follow:

Sine θ = Opposite / Hypotenuse

Sine 27 = 5 / x

Cross multiply

x × Sine 27 = 5

Divide both sides by Sine 27

x = 5 / Sine 27

Value of x = 11

3. The value of x can be obtain as follow:

Sine θ = Opposite / Hypotenuse

Sine 27.2 = 10 / x

Cross multiply

x × Sine 27.2 = 10

Divide both sides by Sine 27.2

x = 10 / Sine 27.2

Value of x = 21.9

4. The value of x can be obtain as follow:

Tan θ = Opposite / Adjacent

Tan 25 = 15 / x

Cross multiply

x × Tan 25 = 15

Divide both sides by Tan 25

x = 15 / Tan 25

Value of x = 32.2

5. The value of x can be obtain as follow:

Cos θ = Adjacent / Hypotenuse

Cos 64 = 4 / x

Cross multiply

x × Cos 64 = 4

Divide both sides by Cos 64

x = 4 / Cos 64

Value of x = 9.1

6. The value of x can be obtain as follow:

Tan θ = Opposite / Adjacent

Tan 33 = x / 14

Cross multiply

x = 14 × Tan 33

Value of x = 9.1

7. The value of x can be obtain as follow:

Sine θ = Opposite / Hypotenuse

Sine 49.6 = 5.6 / x

Cross multiply

x × Sine 49.6 = 5.6

Divide both sides by Sine 49.6

x = 5.6 / Sine 49.6

Value of x = 7.4

8. The value of x can be obtain as follow:

Cos θ = Adjacent / Hypotenuse

Cos 40 = x / 10.2

Cross multiply

x = 10.2 × Cos 40

Value of x = 7.8

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Below is a MATLAB program that evaluates the mathematical expression

% Prompt the user to enter the value of x

x = input('Enter the value of x: ');

% Evaluate the expression A

A = (x^2 - 3*x + 2) / (2*x - 5);

% Display the result

fprintf('The value of A is: %.2f\n', A);

Answer: 76/8547

Step-by-step explanation:

two possibilities

3 boys or 4 boys it would end up as

(18C3+18C4)/37C5

The plant is 17/4 inches above the ground

Pam plants the seed 5 1/2 inches below the ground

After a period of one month, the tomato plant has increased to 9 3/4 inches

Therefore the height of the tomato plant above the ground can be calculated by subtracting the height of the seed below the ground from the height of the plant after one month.

9 3/4 - 5 1/2

39/4 - 11/2

= 17/4

Hence the plant is 17/4 inches above the ground

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Answer: P(A)=4/425≈0,0094.

Step-by-step explanation:

\(P(A)=\frac{C_4^1*C_3^1}{C_{51}^2} .\)

The desk has 4 kings.

First card is drawn from a well shuffled deck is a card of king.     ⇒

\(C_4^1=\frac{4!}{(4-1)!*1!} =\frac{3!*4}{3!*1}=4.\)

Second card is drawn from a well shuffled deck is a card of king too.    ⇒

\(C_{4-1}^1=C_3^1=\frac{3!}{(3-1)!*1!}=\frac{2!*3}{2!*1}=3.\\ The \ desk\ has\ 51\ card.\ \ \ \ \Rightarrow\\C_{51}^2=\frac{51!}{(51-2)*2!}=\frac{49!*50*51}{49!*1*2} =51*25=1275.\\ P(A)=\frac{4*3}{1275} =\frac{4}{425} \approx0,0094.\)

In the polar coordinate system, the region R corresponds to 0 ≤ r ≤ (2 - 9sin(θ))/(9cos(θ) + 9sin(θ)) and 0 ≤ θ ≤ π/2.

To evaluate the given iterated integral ∫∫R (1 - y²)/(9(x + y)) dA, where R is the region in the xy-plane bounded by the curves x = 0, y = 1, and 9(x + y) = 2, we can convert it to polar coordinates for easier computation.

In polar coordinates, we have x = rcos(θ) and y = rsin(θ), where r represents the distance from the origin and θ is the angle measured counter clockwise from the positive x-axis.

The integral becomes ∫∫R (1 - r²sin²(θ))/(9(rcos(θ) + rsin(θ))) r dr dθ. In the polar coordinate system, the region R corresponds to 0 ≤ r ≤ (2 - 9sin(θ))/(9cos(θ) + 9sin(θ)) and 0 ≤ θ ≤ π/2.

In the given integral, we substitute x and y with their respective polar coordinate representations. The numerator becomes 1 - r²sin²(θ), and the denominator becomes 9(rcos(θ) + rsin(θ)). Multiplying the numerator and denominator by r, we have (1 - r²sin²(θ))/(9(rcos(θ) + rsin(θ))) = (1 - r²sin²(θ))/(9r(cos(θ) + sin(θ))). We then rewrite the double integral as two separate integrals: the outer integral with respect to θ and the inner integral with respect to r. The limits of integration for θ are 0 to π/2, while the limits for r are determined by the curve 0 = (2 - 9sin(θ))/(9cos(θ) + 9sin(θ)).

We can simplify this curve to 2cos(θ) - 9sin(θ) = 9, which represents an ellipse in the xy-plane. The limits of r correspond to the radial distance within the ellipse for each value of θ. By evaluating the double integral using these limits, we can determine the result of the given iterated integral.

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Answer:

13 more consecutive wins required.

Step-by-step explanation:

We know that the team has won 20 times, and lost 45 times, we can assume that they have not ever drawn a game.

Therefore we also know that the team has played 65 matches in total (20 wins + 45 losses = 65 total games).

To know how many games in total they must win to have a win rate of over 50%, we can divide the total number of games by 2 to get half of this value.

--> 65/2 = 32.5 games

now, it's impossible to win half of a game, so we simply round up to the next value to get 33.

To calculate how many more games they must win, simply subtract their current number of wins away from this value.

--> 33 games - 20 wins = 13 more consecutive wins required.

Answer:

There needs to be 300 liters of Drink A and 270 liters of Drink B

Step-by-step explanation:

Let a = the amount of Drink A and b = the amount of Drink B

Multiplying a number by 0.2 is the same as calculating 20% of it and same goes with 15% and 0.15. This makes our equation for the amount of fruit juice:

0.2a + 0.15b = 100.5

We know what the difference between a and b will be 30 liters so:

a - b = 30

Now we have our system of equations

To cancel out a, we can multiply the first equation by -5 so we will now have:

-a - 0.75b = -502.5

a - b = 30

Adding these two equations together, we get:

-1.75b = -472.5

Both sides are negative, so we can take the negative signs away.

1.75b = 472.5

Now divide both sides by 1.75

b = 270

Plugging 270 into b, we have:

a - b = 30

a - 270 = 30

Add 270 to both sides

a = 300

There needs to be 300 liters of Drink A and 270 liters of Drink B

The system of linear equations which could be used to find the amount in litres of drinks A and B are :

Let :

Amount of drink A = a

Amount of drink B = b

Percentage of real fruit juice for drink A = 20%

Percentage of real fruit juice for drink B = 15%

Total litres made = 100.5

(Amount of drink A × percentage) + (Amount of drink B × percentage) = Total litres

The difference between the amount of drink A and B made :

Drink A is 30 liters more than B :

The system of equations required to determine the amount of drink A and B made are :

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The first mistake made in the steps to solve the equation is; Step 3 is incorrect and should be x = 10/8

We are given the algebraic expression;

6x - 1 = -2x + 9

Step 1; By addition property of equality, add 2x to both sides to get;

6x - 1 + 2x = -2x + 2x + 9

8x - 1 = 9

Step 2; By addition property of equality, add 1 to both sides to get;

8x - 1 + 1 = 9 + 1

8x = 10

Step 3; By division property of equality, divide both sides by 8 to get;

8x/8 = 10/8

x = 10/8

Step 4; By simplifying the fraction, we have;

x = 5/4

Step 3 shows 8/10 and as such it is the first mistake.

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Answer:

A = 365

B = 700

C = 76.5

Step-by-step explanation:

We know that taking out too many lines of credit can actually harm your credit score, so it's important to be cautious with how many accounts you open.

A way to build good credit is by paying bills when they are due. Additionally, using only secured loans can also help build good credit, as these loans require collateral and can be easier to qualify for.

Using only credit cards can also be a way to build good credit, as long as the cards are used responsibly and payments are made on time.

However, taking out too many lines of credit can actually harm your credit score, so it's important to be cautious with how many accounts you open.

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Answer:

uh what are we suppose to do with the number

Step-by-step explanation:

what are we suppose to do with the numbersm

The initial force between the two charges is given by:

\(F=k\frac{q_{1} q_{2} }{d^2}\)

where k is Coulomb's constant, q1 and q2 are the two charges, and d is their separation. Let's analyze now the other situations:

1. F

In this case, q1 is halved, q2 is doubled, but the distance between the charges remains d.

So, we have:

q'₁=q₁/2

q'₂=2q₂

d'=d

So, the new force is:

\(F'=k\frac{q'_{1}q'_{2} }{d^2} \\\\F'=k\frac{(\frac{q_{1} }{2})(\frac{q_{2} }{2}) }{d^2} \\\\F'=k\frac{q_{1}q_{2} }{d^2} =F\)

So the force has not changed.

2. F/4

In this case, q1 and q2 are unchanged. The distance between the charges is doubled to 2d.

So, we have:

q'₁=q₁

q'₂=q₂

d'=2d

So, the new force is:

\(\\F'=k\frac{q'_{1} q'_{2} }{d^2} \\\\F'=k\frac{q_{1}q_{2} }{2d^2} \\\\F'=\frac{1}{4} k\frac{q_{1}q_{2} }{d^2} \\\\F'=\frac{F}{4}\)

So the force has decreased by a factor of 4.

3. 6F

In this case, q1 is doubled and q2 is tripled. The distance between the charges remains d.

So, we have:

q'₁=2q₁

q'₂=3q₂

d'=d

So, the new force is:

\(F'=k\frac{q'_{1} q'_{2} }{d^2} \\\\F'=k\frac{2q_{1}3q_{2} }{d^2}\\ \\F'=6k\frac{q_{1}q_{2} }{d^2} =6F\)

So the force has increased by a factor of 6.

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Answer:

1. F

2. F/4

3. 6F

The probability that the number is either even or a perfect square is \(\frac{3}{5}\)

Probability refers to potential.This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Probability is a concept in mathematics that helps predict the likelihood of certain events. Probability generally refers to the degree to which something is likely to occur..we will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a certain event will occur.

Total Number of Outcome = 100

Number of even numbers = 50

Number of perfect square = 10

\(Probability \:=\:\frac{Number\: of\: favourable\:outcome\:}{Number\: of\: total\:outcome\:}\)

\(Probability=\frac{50}{100} +\frac{10}{100} = \frac{60}{100} =\frac{3}{5}\)

Therefore,  the probability that the number is either even or a perfect square is \(\frac{3}{5}\)

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Answer:

it is a function

Step-by-step explanation:

Answer:

Since there is one value of y for every value of x in ( − 4, 5 ), ( 1, − 1 ), ( 2, − 2), this relation is a function.

The relation is a function.

Hope this helps (●'◡'●)

Making marijuana illegal in the United States and alcohol illegal in Saudi Arabia are both examples of how governments can use law to enforce different social norms.

Governments have the power to use legislation as a means to enforce various social norms within their respective societies. Examples of this can be seen in the contrasting policies regarding marijuana in the United States and alcohol in Saudi Arabia.

The illegal status of marijuana in the United States reflects the societal norm that perceives its use as undesirable or harmful while the prohibition of alcohol in Saudi Arabia aligns with the country's cultural and religious values. These demonstrate how governments can utilize laws to shape and uphold different social norms based on their specific contexts and priorities.

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When the radius is 9 cm, the area of the circular pool is increasing at a rate of 288π cm square/min.

To find how fast the area of the circular pool is increasing when the radius is 9 cm, we can use the formula for the area of a circle, which is A = πr^2, where A represents the area and r represents the radius.

Given that the radius is increasing at a rate of 4 cm/min, we can differentiate the formula for the area with respect to time (t) using the chain rule:

dA/dt = dA/dr * dr/dt

Here, dA/dt represents the rate of change of the area with respect to time, dr/dt represents the rate of change of the radius with respect to time, and dA/dr represents the derivative of the area with respect to the radius.

To find dA/dr, we can differentiate the formula for the area of a circle:

dA/dr = d/dt (πr^2)

= 2πr * dr/dt

Plugging in the given values, we have:

dr/dt = 4 cm/min

r = 9 cm

Substituting these values into the equation for dA/dr:

dA/dr = 2π(9) * 4

= 72π cm^2/min

Now, we can find dA/dt by multiplying dA/dr by dr/dt:

dA/dt = (72π cm^2/min) * (4 cm/min)

= 288π cm^2/min

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Answer: Table 3

Step-by-step explanation:

exponential relationship means the y value is increasing/decreasing exponentially

In table 1: the value of y is NOT increasing/decreasing exponentially as 2 is being added continuously (linear), so not table 1

In table 2: the value of y is NOT increasing/decreasing exponentially as 4 is being subtracted continuously (linear), so not table 2

In table 3: the value of y IS increasing exponentially as the y variable is multiplied by 2, so table 3

In table 4: the value of y is NOT increasing exponentially as the y variable is only being increased by 5 constantly (linear), so not 4

Answer:

f^-1(x) = (-1/5)x - 11/5

Step-by-step explanation:

f^-1(x) is the inverse so it must be

f^-1(x) = (-1/5)x - 11/5

Answer:

i do not got the full answer but i think you start from here

f(x)=-5x-11

y=-5x-11

x=-5y-11

x+11=-5y

answer is r+11

                 -5 or  (-1/5)x - 11/5

Step-by-step explanation:

brainlest

Answer:

thxxxxx ;)

Step-by-step explanation:

Answer:

~You made me smile~

Have a wonderful day!!!!