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What is the theoretical probability that two coins flipped together will both land on tails?

What is the theoretical probability that two coins flipped together will both land on heads?

What is the theoretical probability that two coins flipped together will land on heads and tails?

Answer:

In-33

out-58

rule, subtract 4

Answer:

12:8 or 12 to 8 or u could do it in fraction form

Step-by-step explanation:

Answer:

12:8 or 12 to 8

Explanation:

The ratio of blue marbles to red marbles is 12 to 8

Answer:

0.75x + 3 = 0.25x + 5.25

Constants are $3 and $5.25 respectively

Topping costs $0.75 and $0.25 respectively

To have same cost the toppings number would be different as cost is different.

Suppose the number of toppings is x in one shop and y in the other, then the spending if same, we get this equation:

0.75x + 3 = 0.25y + 5.25

Constants are $3 and $5.25 respectively

Answer:

They are the same when they both buy 4.5 toppings.

Step-by-step explanation:

y = 0.75x + 3

y = 0.25x + 5.25

y = 0.75(4.5) + 3

y = 3.375 + 3

y = 6.375

y = 0.25(4.5) + 5.25

y = 1.125 + 5.25

y = 6.375

Graph below ----

                          |

                         V

The data is usually anonymized before it is sold, meaning that individual patient identities are protected.

Hospitals collect a wide variety of data on patient health and medical procedures, including demographic information, diagnoses, procedures, and treatments.

This data can be very valuable to public health organizations like the CDC, which use it to better understand patterns and trends in disease and illness.

For example, the CDC might use hospital data to track the spread of a particular disease or to identify areas where certain types of illnesses are more common.

Hence, The data is usually anonymized before it is sold, meaning that individual patient identities are protected.

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The final output displays that the p-value is less than the significance level of 0.05, i.e. 0.01739 < 0.05. Therefore, the null hypothesis is rejected and the alternative hypothesis is accepted. We conclude that the GNP series is explosive.

The given R code represents the plotting of the GNP series, gnp and then test for a unit root against the alternative that the process is explosive.

The code is:

library(astsa)library(tseries)head(gnp)print(gnp)

GNP stands for Gross National Product and it is the total amount of goods and services that a country produces within a certain period of time.

The following is the R code for the same:

library(astsa)library(tseries)plot(gnp, main="GNP", xlab="Year", ylab="GNP")abline(h=mean(gnp), col="red")#

Testing for unit root test

adf.test(gnp, alternative = "explosive")

The output generated by the code is:GNP series, gnp is plotted in the above code using the plot() function.

Then, the abline() function is used to add a red horizontal line for the mean of the GNP series.

The final output displays that the p-value is less than the significance level of 0.05, i.e. 0.01739 < 0.05. Therefore, the null hypothesis is rejected and the alternative hypothesis is accepted.

Thus, we conclude that the GNP series is explosive.

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Answer:

55

Step-by-step explanation:

40+y+30+y=180

40+2y+30=180

70+2y=180

2y=110

y=55

Checking: 55+40+(55+30) = 55+40+55+30 = 180

The box is totally submersed in paint, how many square cm of painted surface will there be = 2216 cm^2

Having four right angles makes a rectangle a quadrilateral. It can alternatively be explained in terms of an equiangular quadrilateral—a term that refers to a quadrilateral whose angles are all equal—or a parallelogram with a right angle. A square is a rectangle with four equally long sides.

The external dimensions of the

base are 16 cm by 24 cm,

the external height is 10 cm

So , finding the area of A1 , A2 , A3

A1 = 2* 16* 10 + 2* 24 * 10 + 1 * 16 * 24

   = 1184

A2 = 2 * 14 * 9 + 2 * 22 * 9 + 1 * 14 * 22

    =  956

A3 = 16 *24 - 14 * 22

     = 76

Total area will be :

A = 1184 + 956 + 76

   = 2216 cm^2

The box is totally submersed in paint, how many square cm of painted surface will there be = 2216 cm^2

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There are 144 possible sequences of chip colors.

We can solve this problem by counting the number of possible sequences of chip colors that can be drawn from the bag until the total value of the chips is at least $7.

Let's consider all the possible sequences of chips that can be drawn from the bag. The first chip can be any of the 6 chips in the bag. For each chip color, there are different scenarios that can happen after drawing the first chip:

Therefore, the total number of possible sequences of chip colors that can be drawn from the bag until the total value of the chips is at least $7 is: 2 x 32 + 1 x 32 + 3 x 16 = 144

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Barton should use a luggage scale to get the most accurate and appropriate measurement of his packed suitcase before he leaves to catch a flight. A luggage scale is a compact and portable device that is designed specifically to weigh luggage. Using a luggage scale is easy and convenient as it allows travelers to weigh their bags accurately, ensuring that they are within the airline's weight limit. To use a luggage scale, Barton should follow these simple steps:

Step 1: Attach the luggage strap Barton should attach the luggage strap to the handle of his suitcase.The strap should be attached in such a way that it can support the weight of the suitcase without slipping or coming off.

Step 2: Turn on the luggage scale Barton should turn on the luggage scale and wait for it to calibrate. This usually takes a few seconds. Once the scale is calibrated, it will display a zero reading.

Step 3: Lift the suitcase Barton should lift the suitcase by the luggage strap until it is off the ground. The luggage scale will display the weight of the suitcase on its digital display. This reading is the weight of the suitcase including all the contents inside.

Step 4: Check the weight If the weight of the suitcase is less than 50 pounds, Barton can go ahead and catch his flight without worrying about any extra charges. If the weight of the suitcase is more than 50 pounds, Barton will have to remove some items from the suitcase or pay the extra fee charged by the airline.

Therefore, using a luggage scale is the most accurate and appropriate method for travelers like Barton to measure their suitcase weight before boarding their flight.

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Answer:

use a standard digital bathroom scale.

Step-by-step explanation:

A term is a constant, a variable, or a product of numbers and variables.

A symbol (typically a letter) used in algebra to represent an unknowable numerical value in an equation or algebraic expression. A variable can be defined as a quantity that is changeable and not fixed. A variable in mathematics is an alphabet or term that stands in for an unknowable quantity, unknowable value, or unknowable number. Particularly in the case of algebraic expressions or algebra, the variables are used. As an illustration, the linear equation x+9=4 has the variables x and 9 as constants.

Here,

A term can be a number, a constant, a variable, or the product of a number and a variable.

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Answer:

47

Step-by-step explanation:

Sub in 5 for y:

7+5(3+5)

7+5(8)

7+40

47

Answer:

96

Step-by-step explanation:

3 + 5 = 8

7 + 5 = 12

So, 12(8) is the same as 12 x 8.

12 x 8 = 96

Answer:

x=2 y=-2

Step-by-step explanation:

2×2+-2=2

4×2--2=10

Answer:

Step-by-step explanation:

Step: Solve2x+y=2for y:

2x+y=2

2x+y+−2x=2+−2x(Add -2x to both sides)

y=−2x+2

Step: Substitute−2x+2foryin4x−y=10:

4x−y=10

4x−(−2x+2)=10

6x−2=10(Simplify both sides of the equation)

6x−2+2=10+2(Add 2 to both sides)

6x=12

6x

6

=

12

6

(Divide both sides by 6)

x=2

Step: Substitute2forxiny=−2x+2:

y=−2x+2

y=(−2)(2)+2

y=−2(Simplify both sides of the equation)

Answer:

x=2 and y=−2

Answer:

m=48

Step-by-step explanation:

━━━━━━━☆☆━━━━━━━

▹ Answer

m = 48

▹ Step-by-Step Explanation

Rewrite:

m/8 = 6

Use the inverse operation:

8 * 6 = 48

m = 48

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer: In mathematics, the method of equating the coefficients is a way of solving a functional equation of two expressions such as polynomials for a number of unknown parameters. It relies on the fact that two expressions are identical precisely when corresponding coefficients are equal for each different type of term.

.

Answer: T(-4, 0)

Step-by-step explanation:

(x,y) → (x-8, y + 5)

T(4,-5) ==> T(4-8,-5+5) ==> T(-4, 0)

Answer:

Mean: 10.7

Median: 11

Mode: 12

Hope you find this helpfull:)

The double integral of (x+y) over the region omega is -15π²/4.

To evaluate the double integral of (x+y) over the region defined by the parallelogram omega, we need to first find the bounds of integration.

We can rewrite the equations of the parallelogram as follows:

x - y = 0

x - y = 3π

x + 2y = 0

x + 2y = 1/2π

Solving for y in terms of x for each of the lines, we get:

y = x

y = x - 3π

y = -x/2

y = (1/2π - x)/2

Taking the intersection points of these lines, we get the following coordinates:

A = (0, 0)

B = (3π, 3π)

C = (-1/4π, 1/8π)

D = (3/4π, -5/8π)

We can see that the region omega is divided into two subregions by the line x = π. We can evaluate the double integral over each subregion separately and add the results.

For the subregion to the left of x = π, the bounds of integration are:

x: 0 to π

y: x to x - 3π

For the subregion to the right of x = π, the bounds of integration are:

x: π to 3π

y: -x/2 to (1/2π - x)/2

So, the double integral of (x+y) over the region omega is given by:

∫∫(x+y)dxdy = ∫[0,π]∫x,x-3πdydx + ∫[π,3π]∫-x/2,(1/2π-x)/2dydx

Evaluating this integral, we get:

∫∫(x+y)dxdy = -15π²/4

Therefore, the double integral of (x+y) over the region omega is -15π²/4.

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Answer:

70 and 30

Step-by-step explanation:

The third angle of the triangle is 80 degrees. If two angles in a triangle are 55∘ and 45∘, the third angle can be calculated by using the following formula:

Third angle = 180 - (Sum of the other two angles)

Let's put the given values in the above formula.

Third angle = 180 - (55 + 45)Third angle = 180 - 100

Third angle = 80Hence, the third angle of the triangle is 80 degrees.

A triangle is a closed figure consisting of three sides. The sum of the angles of a triangle is always equal to 180 degrees. This means that if two angles in a triangle are known, then the third angle can be calculated by subtracting the sum of the known angles from 180 degrees.

In this question, the two angles of the triangle are 55 degrees and 45 degrees. The third angle can be found by using the formula Third angle = 180 - (Sum of the other two angles). By substituting the given values in the formula, we get the third angle as 80 degrees.

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Answer:

40%

Step-by-step explanation:

4/10 = 40/100 = 40%

If you need further explanation, let me know!

- profparis

By assuming the opposite and showing that it leads to a contradiction, we have indirectly proved that the hypotenuse of a right triangle is the longest side.

To write an indirect proof for the statement "The hypotenuse of a right triangle is the longest side," we need to assume the opposite and show that it leads to a contradiction.

Here is a step-by-step explanation of an indirect proof for this statement:

1. Assume that the hypotenuse of a right triangle is not the longest side.
2. Let's consider a right triangle ABC, where AB is the hypotenuse and AC and BC are the other two sides.
3. According to our assumption, either AC or BC is longer than AB.
4. Without loss of generality, let's assume that AC is longer than AB.
5. By the Pythagorean theorem, we know that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
6. So, in this case, AB^2 = AC^2 + BC^2.
7. Now, since AC is longer than AB, we have AC^2 > AB^2.
8. Substituting this into the previous equation, we get AC^2 + BC^2 > AB^2 + BC^2.
9. Simplifying the equation, we have AC^2 + BC^2 > AB^2.
10. This contradicts the Pythagorean theorem, which states that AB^2 = AC^2 + BC^2.
11. Therefore, our assumption that the hypotenuse of a right triangle is not the longest side leads to a contradiction.
12. Hence, we can conclude that the hypotenuse of a right triangle is indeed the longest side.

In summary, by assuming the opposite and showing that it leads to a contradiction, we have indirectly proved that the hypotenuse of a right triangle is the longest side.

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Answer:they are only 2

Step-by-step explanation:

3/5 + 3/5 = 6/10 so you need a 6/5 + 3/5 and it will equal 9/10

Answer:

1

Step-by-step explanation:

3/5's = 6/10 and 6/10 plus 6/10 would be 12/10 so only 1 3/5's can fit.

Answer:

1

Step-by-step explanation:

rise/run

rise is 1

run is 1

1/1=1

hope this helps :3

if it did pls mark brainliest

Answer:

Hey there!

The two lines in this graph are: y=-1/5x+2, and y=3x-2

Since y=-1/5x+2 is a dotted line, we know that we use the < or > symbols.

Since y=3x-2 is a straight line, we use the ≤ and ≥ symbols.

Thus, for area z, we have y<-1/5x+2, and y≥3x-2

Hope this helps :)

Answer:

y = 5x - 3, so M = 5 and C = -3.

Given that a 0.625 kg basketball is dropped from a height of 3 meters straight down. The coefficient of restitution between the ball and the ground is e = 0.87. At 0.15 seconds after the basketball is dropped, a 58.5-gram tennis ball is dropped from the same 3-meter height straight onto the basketball. If the coefficient of restitution between the tennis ball and the basketball is e = 0.9,

    determine how high the tennis ball bounces above the ground after the collision. Neglect the size of the balls.

The balls meet at a height of 0.5073 m above the ground. Hence the height that the tennis ball bounces above the ground is to be calculated.

Given that the coefficient of restitution between the ball and the ground is e = 0.87The coefficient of restitution between the tennis ball and the basketball is e = 0.9

The coefficient of restitution(e) is defined as the ratio of the relative velocity of separation and relative velocity of approach between two objects.

When a ball falls from height, it gains potential energy.

Potential energy (PE) = mghWhere, m = mass of the object, g = acceleration due to gravity, h = height

PE of Basketball = mgh= 0.625 kg * 9.81 m/s² * 3 m= 18.4 Joules

Initial kinetic energy (KE) = PE of Basketball

KE of Basketball = 18.4 J

Let the velocity of the basketball before collision be u1 and the velocity of the tennis ball before collision be u2. After the collision, let the velocity of the basketball be v1 and the velocity of the tennis ball be v2.

Using the coefficient of restitution (e) we can find the velocity of the balls after collision

   v1 - v2 = -e(u1 - u2)

Initial momentum (P) = Final momentum (P)

before the collision  P = m1u1 + m2u2

after collision  P = m1v1 + m2v2P = (0.625 kg * u1) + (0.0585 kg * u2)P

                           = (0.625 kg * v1) + (0.0585 kg * v2)

        Using the above two equations and the given coefficients of restitution, we can find the velocity of the balls after collisionv1 = (m1u1 + m2u2 + e * m2 * (u2 - u1)) / (m1 + m2)v2 = (m1u1 + m2u2 + e * m1 * (u1 - u2)) / (m1 + m2)

     Here, m1 = mass of basketball

                     = 0.625 kg,

                m2 = mass of tennis ball

                      = 0.0585 kg,

  u1 = 0, u2 = 0P = m1v1 + m2v2 => v1 + v2 = P / (m1 + m2)

Also given that the time taken by the balls to meet is 0.15 seconds

Let h be the height to which the tennis ball bounces after the collision.

When the tennis ball bounces to height h, it gains potential energy.

KE + PE = Total energy

             = Constant Using the principle of conservation of energy we can find the height to which the tennis ball bounces after collision(1/2) * m2 * v2² + (1/2) * m2 * g * h

              = (1/2) * m2 * u2² + (1/2) * m2 * g * 0(1/2) * m2 * v2²

              = (1/2) * m2 * u2² - (1/2) * m2 * g * h(1/2) * v2²

              = (1/2) * u2² - g * h

Substituting the values of u1, u2, m1, m2, e, t and g, we get:

v1 = (0 + 0.0585 kg * 9.81 m/s² + 0.9 * 0.0585 kg * (0 - 0)) / (0.625 kg + 0.0585 kg)v1

   = 1.96 m/sv2

    = (0.625 kg * 0 + 0 + 0.9 * 0.625 kg * (0 - 0)) / (0.625 kg + 0.0585 kg)v2

    = 5.5 m/s

Here, u1 = u2 = 0.

Using the above equation, we can find the height to which the tennis ball bounces after collision (1/2) * (0.0585 kg) * (5.5 m/s)² = (1/2) * (0.0585 kg) * (0 m/s)² - (0.0585 kg) * 9.81 m/s² * h12.83 J

                = -0.286 J - 0.572 h0.572 h

                = -12.83 J / 2h

                = -12.83 J / (2 * 0.572)

                = 11.2 m

Hence the height to which the tennis ball bounces above the ground after the collision is 11.2 m.

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Approximately 16.5% of the simulated results have a difference in precipitation rates for weekdays and weekends that is less than the observed difference of -0.065.

In the simulation, precipitation rates were measured for weekdays and weekends. The observed difference in precipitation rates between weekdays and weekends was -0.065. To determine the fraction of simulated results where the difference is less than -0.065, we compare each simulated difference to the observed difference.

By examining the simulated results, we find that out of all the simulated scenarios, around 16.5% of them have a difference in precipitation rates for weekdays and weekends that is smaller than -0.065. This indicates that in these scenarios, the weekday precipitation rate is less than the weekend precipitation rate by a smaller magnitude compared to the observed difference.

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Answer: like he dark line represents all the numbers that satisfy x≤2 . If we pick any number on the dark line and plug it in for x, the inequality will be true. The following graph represents the inequality x < 2 . Note that the open circle on 2 shows that 2 is not a solution to x < 2 .

Step-by-step explanation: