you can bet on single squares or combinations of squares. each square has a number and a color. eighteen of the squares are red, 18 are black, and 2 are green. one thing you can do is bet red (or black), and it pays even money. (you risk $1, but if the roulette lands on any red space, you get back your $1 plus $1 in winnings.) if you play 30 times, betting $1 on red each time, what is the probability you will come out ahead?

Thomas' annual rate of return after fees was 7.87%. Thomas' annual rate of return after fees can be calculated using the below-given formula.

Annual Rate of Return = (1 + Average Annual Rate of Return) x (1 - Expense Ratio) - 1
Plugging in the values given in the question, we get:
Annual Rate of Return = (1 + 0.084) x (1 - 0.005) - 1
Annual Rate of Return = 0.0787 or 7.87%

Therefore, Thomas' annual rate of return after fees was 7.87%. It is important to consider expenses like the expense ratio when calculating investment returns as they can significantly affect the overall performance of the investment. In this case, the 0.5% expense ratio reduced Thomas' annual rate of return from the fund's average of 8.4% to 7.87%. It is important to keep in mind the impact of fees and expenses when choosing an investment as they can eat into returns over time and affect the overall success of the investment.

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The expression n times d times q times in terms of number of nickels is n²(36-3n)/4 .

In the question ,

it is given that ,

there are n nickels , d dimes , q quarters .

Also given that there is  twice as many nickels as dimes ,

that means , n = 2d

So , d = n/2

also that total number of coins = 18 ,

So , n + d + q = 18

n + n/2 + q = 18

q = 18 - 3n/2

we need to find ,  n times d times q in terms of the number of nickels.

that means

= n × d × q

= n × n/2 × 18 - 3n/2

= n × n/2 × (36 - 3n)/2

= (n × n×(36 - 3n))/2×2

= n²(36-3n)/4

Therefore , The expression n times d times q times in terms of number of nickels is n²(36-3n)/4 .

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Answer:

The answer is option B.

Step-by-step explanation:

Before the regulations were applied to the field of chemistry, the elements, their characteristics and other information related to them were so disorganized that this was causing the progress in the field to slow down.

So the committees decided to regulate things such as the names of any newly discovered elements, any properties it had so that it could be put to use in a more effective way.

The correct answer for this question is option B.

I hope this answer helps.

The early committees regulated how the newly discovered elements were named.

Around the  mid-1800s to the early 1900s, chemical discoveries soared rapidly due to the invention of new equipment that made research a lot more easier.

Around 1919, the international union of pure and applied chemistry set up committees to regulate the naming of new elements and compounds hence strict rules were set up for the naming of newly discovered elements and compounds.

Hence, the early committees regulated how the newly discovered elements were named.

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Answer:

Formula for arc length is;

\(\frac{\theta}{360}*2\pi r\\\)

Step-by-step explanation:

\(\frac{\theta}{360}*2\pi r\\\)

\(\frac{210}{360}*2\pi *11yd\)

so arc length is;

\(\frac{77\pi }{6}yd\)

Answer:

9.5

Step-by-step explanation:

An ice cream shop has 10 flavors and one can choose 4 different flavors. The question asks for the total number of possible flavor combinations.Therefore, we need to find the number of ways in which 4 flavors can be chosen from 10 flavors.

In such cases where order does not matter and repetitions are not allowed, we can use the formula for combinations which is as follows:C(n, r) = n! / (r! (n - r)!)Where n is the total number of items, r is the number of items being chosen at a time and ! represents the factorial function.

Using this formula we can find the total number of possible flavor combinations. Substituting the values in the above formula, we get:C(10, 4) = 10! / (4! (10 - 4)!)C(10, 4) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)C(10, 4) = 210Hence, there are 210 possible flavor combinations when one can choose 4 different flavors

.Explanation:The formula to be used for this type of question is combination. Combination is the method of selecting objects from a set, typically without replacement (without putting the same item back into the set) and where order does not matter. The formula for combination is given by C(n,r)=n!/(r!(n-r)!).

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Step-by-step explanation:

.............,.,.,.,.,.,.,.,

As per the concept of difference, there are 8.9 x 10⁶ more population in  New York City than the population of Pittsburgh.

Difference

Difference mean the result of one of the important mathematical operations, which is obtained by subtracting two numbers. It tells us by how much a number differs from the other.

Given,

In 2020 the population of New York City was about 9 x 10⁶. The population of Pittsburgh was about 3 x 10³.

Here we need to find how many times more people live in New York City than Pittsburgh.

Before calculating the difference, first we have to expand the given simplified notations like,

9 x 10⁶ = 9000000

Similarly, the value of 3 x 10³ = 3000

Now, the difference of the population in the cities is,

=> 9000000 - 3000

=> 8997000

Then it can be written it as a simplified notation as,

=> 8.9 x 10⁶

Therefore, there are 8.9 x 10⁶ more population in  New York City than the population of Pittsburgh.

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Answer:

-6 and -6

Step-by-step explanation:

\((-6)+(-6)=(-12)\\(-6)(-6)=36\)

Adding a negative is the same as subtracting.

Multipling a negative by a negative is the same as multiply two even numbers. The negative signs cancel each other out.

Using a 35-bag sample with a mean of 406.0 grams, a known standard deviation of 25.0 grams, and a level of significance of 0.05, you can perform a one-tailed Z-test to determine whether to reject or fail to reject the null hypothesis.

To test if the potato chip manufacturer's bag filling machine is working correctly at the 411.0-gram setting, we will state the hypotheses using the given terms.

Null Hypothesis (H0): The machine fills bags correctly, with a mean weight of 411.0 grams (µ = 411.0 grams)
Alternative Hypothesis (H1): The machine is underfilling bags, with a mean weight less than 411.0 grams (µ < 411.0 grams)

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=============================================================

Explanation:

Ignore the sides that are 'a' units long.

We'll compare the sides that are 26 units and 27 units long. We see the 27 unit side is larger, which makes the 93 degree angle larger than the 3x-9 degree angle.

Symbolically, we would say

3x-9 < 93

At the same time, the 3x-9 is also larger than 0

So

3x-9 > 0 or 0 < 3x-9

Put together, we can form this compound inequality

0 < 3x-9 < 93

-------------------

Let's isolate x like so

0 < 3x-9 < 93

0+9 < 3x-9+9 < 93+9 .... add 9 to all sides

9 < 3x < 102

9/3 < 3x/3 < 102/3 .... divide all sides by 3

3 < x < 34

x is any number between 3 and 34, but cannot equal either endpoint

For example, x = 10 is valid since 3 < 10 < 34 is true. But x = 50 is not a solution since 3 < 50 < 34 is false. We can't have x = 3 and we also can't have x = 34 either, but we can have anything in between those endpoints.

Answer:

The average change in balance each day during his time $41

Step-by-step explanation:

Here, we want to write an integer to represent the average balance change in the 30 days period.

First, let’s find difference between opening and closing balance= (1800-570) = 1230

We shall now divide this by 30 = 1230/30 = $41

Answer:

The average chang in his time is 41

Step-by-step explanation:

b. The matrix is invertible. The given matrix has 4 pivot positions. this is correct statement.

To determine if the matrix is invertible, we need to check if it is a square matrix and if its columns form a linearly independent set.

The given matrix is a square matrix, as it has the same number of rows and columns (4x4).

To check if its columns form a linearly independent set, we can perform row reduction or look for pivot positions. In this case, by observing the matrix, we can see that it has 4 pivot positions, which means that the columns form a linearly independent set.

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The polynomial function can be written as:

p(x)=  (x - 1)*(x + 6)

So the correct option is A.

Remember that a polynomial of degree N with the zeros {x₁, x₂, x₃, ...} can be written as:

p(x) = (x - x₁)*(x - x₂)*...

Here we can see that the zeros are x = 1 and x = -6, 2 zeros means that we will have two factors.

Then the polynomial can be written as:

p(x) = (x - 1)*(x - (-6))

p(x) = (x - 1)*(x + 6)

Then the correct option is A.

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From the calculation done below, it can be seen that the cost of one orange is 85 cents.

The cost of one orange can be determined as follows:

One dime = 10 cents

2 dollars = 200 cents

Total amount given by Sue to the store clerk = One dime + 2 dollars = 10 cents + 200 cents = 210 cents

Cost of two oranges = Total amount given by Sue to the store clerk –

Change = 210 cents – 40 cents = 170 cents

Cost of one orange = Cost of two oranges / 2 = 170 cents / 2 = 85 cents

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Answer:

A

Step-by-step explanation:

the order of letter should resemble the same shape

Answer:

156

Step-by-step explanation:

Answer:

36 is the correct answer

Step-by-step explanation:

You add all the numbers and divide that by how many numbers there are which gives you the mean.

Answer:

90 degrees

Step-by-step explanation:

trust

Answer:

Hey there!

If 1007 people attend, they will make a profit of 10070 dollars.

The play costed 3200 dollars to produce, so we have -3200+10070=7500 dollars as the final balance of the bank account.

Let me know if this helps :)

Answer:

Step-by-step explanation:

the correct answer is 6,870 it was d for me it might be different :)

-

Value of ω when the robot has to turn 150 degrees: ω = (Δθ/Δt) = (150 degrees/ time)

Given the robot motion model when there is no rotation and the robot's heading speed is v, xt=xt−1+vcos(θt−1)yt=yt−1+vsin(θt−1)θt=θt−1

So, The robot's heading is fixed, θt = θt-1 when there is no rotation.

Now, when there is rotation and the robot's angular velocity is ω, the new robot motion model is given as follows:

xt=xt−1+(v/ω)(sin(θt−1+ωt)−sin(θt−1))yt=yt−1+(v/ω)(−cos(θt−1+ωt)+cos(θt−1))θt=θt−1+ωt

where θt is the heading of the robot and ωt is the angle of rotation.

If the robot has to turn 150 degrees, the new heading will be θt-θt-1=150 degrees.

Therefore, the new motion model of the robot can be given as:

xt=xt−1+(v/ω)(sin(θt−1+ωt)−sin(θt−1))yt=yt−1+(v/ω)(−cos(θt−1+ωt)+cos(θt−1))θt=θt−1+ωt

So, we can find the value of ω using the following formula:

θt-θt-1 = ωt*Δt

where Δt is the time taken for the robot to rotate by 150 degrees.

Now,

Δθ = 150 degrees

ω = (Δθ/Δt) = (150 degrees/ time)

So, this is how we can find the value of ω when the robot has to turn 150 degrees.

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Answer:

B

Step by Step Explanation:

D = (1, 1)

E = (2, 3)

Take out C immediately, as the distance is 100% not more than 3 units.

I'm going to go with the premise that wherever the letters' points on the graphs are where the letters are located.

Take out D as well because the distance is around 2 - 2.66 units, and not under (Look at what I said previously).

Now if we get a ruler and rotate it exactly to the line from D to E, we will get the answer B (This is due to angles).

Hope this answered your question or at least helped, in which case you're welcome. :D

it would be 2.24 !!!

In this exercise, you’ll create a form that accepts one or more scores from the user. Each time a score is added, the score total, score count, and average score are calculated and displayed.

In order to achieve this, you will need to utilize HTML and JavaScript. First, create an HTML form that contains a text input field for the user to input a score and a button to add the score to a list. Then, create a JavaScript function that is triggered when the button is clicked.

To update these values, you will need to loop through the array of scores and calculate the total and count, and then divide the total by the count to get the average.

Finally, the function should display the updated values to the user. You can use HTML elements such as `` or `

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Step-by-step explanation:

the Anwer is 2-6b(3/4b) / 3b

Answer: -2\(\frac{1}{12}\) b or -\(\frac{25}{12}\) b

Step-by-step explanation:

\(\frac{2}{3}\) b - 2 \(\frac{3}{4}\) b

= \(\frac{2}{3}\) b - \(\frac{11}{4}\) b

= \(\frac{8-33}{12}\) b

= -\(\frac{25}{12}\) b

= -2\(\frac{1}{12}\) b

The probability that none of the given houses were burglarized is 22%, under the required condition that probability that a house in an urban area will be burglarized is 3%, and total number of houses is 30.

Let  us consider X to be the number of houses that were  burglarized.
Then probability of a house in attempts to being burglarized is p = 0.03.
And probability of a house not being burglarized is
q = 1 - p
= 0.97.
The total trials is n = 30.

Now the probability regarding none of the houses will be burglarized is

\(P(X = 0) = C(30,0) * (0.03)^0 * (0.97)^{30}\)
= 0.2202

Hence, the probability  of none of the houses being  burglarized is 0.2202

Converting it into percentage

0.22 x 100
= 22%

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To solve the differential equation y(4) 2y(3) 3y′′ 2y′ y = 0, we can use the method of characteristic roots.

First, let's assume that the solution is of the form y = e^(rt). Then, we can differentiate y with respect to t to get y′ = re^(rt), differentiate again to get y′′ = r^2e^(rt), and differentiate one more time to get y(4) = r^4e^(rt).

Substituting these expressions into the original differential equation, we get:

r^4e^(rt) - 2r^3e^(rt) + 3r^2e^(rt) - 2re^(rt) + e^(rt) = 0

Dividing both sides by e^(rt), we can simplify the equation to:

r^4 - 2r^3 + 3r^2 - 2r + 1 = 0

This is a fourth-order polynomial equation that we can solve using the characteristic roots method.

Expanding (r2 r +1)2, we get:

r^4 + 2r^3 + 3r^2 + 2r + 1 = 0

Comparing this to the polynomial equation we obtained earlier, we can see that they are identical except for the sign of the middle term. Therefore, the characteristic roots of our differential equation are the roots of (r2 r +1)2, which are:

r = -1 (double root) and r = -i (double complex root)

This means that the general solution of the differential equation is:

y = c1e^(-t) + c2te^(-t) + c3cos(t) + c4sin(t)

where c1, c2, c3, and c4 are arbitrary constants that can be determined from initial or boundary conditions.

Answer:

Step-by-step explanation:

37 - 5^5 = 12

ANSWER = 12*C

Answer: A

Step-by-step explanation: I would say A because the angle is greater than 90 degrees

Answer:

We have supplementary angles.

76 + 3x + 2 = 180

3x + 78 = 180

3x = 102

x = 34

Answer:

Assuming she has to do all of that before she leaves she needs to start at 4:40pm

Step-by-step explanation:

All of the things needed to do before she leaves equals 80 min and that is 1 hour and 20 min. Subtract that from 6:00pm and you get 4:40pm.

(Ps there is no number line)

The  machine drilled at a constant rate, so the depth after 15 hours is

-45 feet.

When comparing two different kinds of numbers with distinct units, a rate is a ratio that is employed. The unit rate, on the other hand, shows how many units of one quantity are equal to one unit of another. When the rate's denominator is 1, we refer to the rate as a unit rate.

Given A machine that drills holes,

drilled in 24 hours = -72 feet

the machine drilled at a constant rate,

so drilled in 1 hour = -72/24 = -3 feet per hour

depth in 15 hours = -3 x 15

depth in 15 hours = -45 feet

Hence the depth after 15 hours is -45 feet.

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