help pls with this! this is worth 30 points

There are 40,320 different ways to arrange the letters of the word "notebook".

The word "notebook" contains 8 letters.

To calculate the number of different ways the letters can be arranged,

we can use the formula for permutations,

which is: n! / (n-r)!

where, n is the total number of items and r is the number of items selected.

For "notebook",

We want to find the number of permutations of all 8 letters,

So, n = 8 and r = 8.

Plugging these values into the formula,

we get: 8! / (8-8)! = 8!
Simplifying, 8! is equal to: 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40,320

Therefore, there are 40,320 different ways to arrange the letters of the word "notebook".

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The probability that the gambler selected the fair coin, given that he observed two heads in a row, is 1/3.

Let's denote the event of selecting the fair coin as "F" and the event of getting two heads in a row as "HH". We need to find the probability of selecting the fair coin given that we observed "HH".

Using Bayes' theorem, the probability can be calculated as:

P(F | HH) = (P(HH | F)  P(F)) / P(HH)

P(HH | F) is the probability of getting two heads in a row given that the fair coin is selected. Since the fair coin is unbiased, the probability of getting heads on a single flip is 1/2. Therefore, the probability of getting two heads in a row with the fair coin is (1/2)  (1/2) = 1/4.

P(F) is the prior probability of selecting the fair coin, which is 1/2 since the gambler randomly selects one of the coins.

P(HH) is the total probability of observing two heads in a row. It can be calculated as the sum of the probabilities of getting two heads in a row with each coin: (1/4)  (1/2) + 1 (1/2) = 3/8.

Plugging these values into Bayes' theorem, we get:

P(F | HH) = (1/4 x 1/2) / (3/8) = 1/3

Therefore, the probability that the gambler selected the fair coin given that he observed two heads in a row is 1/3.

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We will substitute this value of sin²x in our expression which will give;6 tan²x(1 - sin²x)6 tan²x(1 - (1 - cos²x))6 tan²x cos²x.

We need to simplify the given expression which is given below;

6 tan2 x − 6 tan2 x sin2 x

In order to solve this expression, we will first write it in a factored form which will be;

6 tan²x(1 - sin²x)

We know that the identity for sin²x is;sin²x + cos²x = 1

Which can be rearranged to give;

sin²x = 1 - cos²x

Now we will substitute this value of sin²x in our expression which will give;6 tan²x(1 - sin²x)6 tan²x(1 - (1 - cos²x))6 tan²x cos²x.

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Answer:

The line \(y = -3\, x + 6\) goes through the point \((1,\, 3)\) and has a slope of \((-3)\).

Step-by-step explanation:

If the slope of a line is \(m\) and the \(y\)-intercept of that line is \(b\) (\(m\!\) and \(b\!\) are constants), then \(y = m\, x + b\) would be the slope-intercept equation of that line.

The slope of the line in this question is \(m = -3\). However, \(b\), the \(y\)-intercept of this line, still needs to be found. The equation of this line would be \(y = -3\, x + b\) for some constant \(b\!\).

Since this line goes through \((1,\, 3)\), \(x = 1\) and \(y = 3\) should satisfy the equation of this line. In other words, if \(x = 1\!\) and \(y = 3\!\) are substituted into \(y = -3\, x + b\), the result should still be an equality:

\(3 = -3\times 1 + b\).

Solve this equation for \(b\):

\(b = 6\).

Thus, the equation of this line would be \(y = -3\, x + 6\).

Prime numbers are numbers with no factors other than 1 and themselves.

Use the prime factorization method to find the prime number. Factors should be 1 and the number itself.

What is a prime number?

Natural numbers known as prime numbers can only be divided by one (1) and by the number itself. In other terms, prime numbers are positive integers greater than one that only have the number itself and the number's first digit as factors. 2, 3, 5, 7, 11, 13, and other prime numbers are only a few examples.

A number is prime if it only has the factors 1 and itself. Therefore, we may quickly discover a prime number by prime factorising the provided number.

For example take - 11

The prime factorisation of 11 is 1 × 11 since 11 has only two factors 1 and itself, hence it is a prime number.

Some prime numbers in between 1 to 50 are -

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47

Therefore, a prime number has a factor which is 1 and the number itself.

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The number of subs in the order is 8 or 9

Let's call the number of subs in the order "x".

Since the cost of 3 subs is $20, the cost per sub is $20 / 3 = $6.67.

And since the cost of 4 subs is $26, the cost per sub is $26 / 4 = $6.50.

So the cost per sub is between $6.50 and $6.67.

If the total cost is $56, then the cost per sub must be $56 / x.

So:

x = 56/6.5 or x = 56/6.67

Evalutate

x = 8.6 or x = 8.4

Approximate

x = 9 or 8

Hence, the subs is 8 to 9

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Answer: 16.75 milliliters

Step-by-step explanation:

I believe it is 16.75 because 0.35 + 16.4 is 16.75 why is it addition decimals? Because it says How many milliliters does the mixture contain. It is talking about both combined, I hope this helps you if not sorry this was rushed! I am also 3rd Grade this Year! :D

The total mixture is 16.75 ml

Mixture is a combination of two or more elements to form a third element.

Given here, Jada mixes 0.35 ml to 16.4 ml milk and therefore the total mixture is equal to 0.35 + 16.4 = 16.75 ml

Hence Jada's mixture contains 16.75 ml

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Answer:

\(8 \frac{1}{25} \)

Step-by-step explanation:

\(4 \frac{3}{5} + 3 \frac{11}{25} \\ (4 + 3) + ( \frac{3}{5} + \frac{11}{25} ) \\ 7 + \frac{26}{25 } \\ 7 + 1 \times \frac{1}{25} \\ 8 \frac{1}{25} \)

\(4 \frac{3}{5} + 3 \frac{11}{25} \)

the simplest form.

\( \frac{23}{5} + \frac{86}{25} \)

\( = \frac{(23 \times 25) + (86 \times 5)}{5 \times 25} \)

\( = \frac{575 + 430}{125} \)

\( = \frac{1005}{125} \)

\( = 8 \frac{1}{25} \)

The rate of return of approximately 17.95% in the third year would produce a cumulative gain of 7% after two consecutive years of 6% losses.


To solve the problem completely, let's calculate the rate of return required in the third year to achieve a cumulative gain of 7% after two consecutive years of 6% losses.

1. Calculate the total loss over the two years:

  Total loss = (1 - 0.06) * (1 - 0.06) = 0.9416

2. Calculate the target cumulative gain:

  Cumulative gain = 1 + 0.07 = 1.07

3. Set up the equation to solve for the rate of return:

  1 + Rate of return = Cumulative gain / (1 - Total loss)

4. Substitute the values into the equation:

  1 + Rate of return = 1.07 / (1 - 0.9416)

  1 + Rate of return = 1.07 / 0.0584

5. Solve for the rate of return:

  Rate of return = (1.07 / 0.0584) - 1

  Rate of return ≈ 17.95%

Therefore, a rate of return of approximately 17.95% in the third year would be needed to achieve a cumulative gain of 7% after two consecutive years of 6% losses.

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The rate of change of the angle of elevation is -2π/3 radians/second.

We can use the tangent ratio to solve this problem. Since the rope is attached to the boat, we can draw a right triangle with the rope as the hypotenuse. The angle of elevation is the angle formed by the rope and the horizon.

The pulley is 5 feet above the water level, so the length of the opposite side (the side adjacent to the angle) is 5 feet. The length of the hypotenuse is 12 feet, since the boat is 12 feet from the dock.

Using the tangent ratio, we can calculate the angle of elevation:

tan(θ) = opp/hyp = 5/12

θ = arctan(5/12) = 0.927 rad

Now, since the rope is being pulled in at 3 ft/sec, the length of the hypotenuse is decreasing at a rate of 3 ft/sec. Therefore, the rate of change of the angle of elevation is:

rate of change of θ = -(3 ft/sec) / (12 ft) = -2π/3 radians/second

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There are n x (n-1) number of ways for the speaker and vice speaker to be selected in the demonstrator's party, where n is the number of members in the party.

For the demonstrator's party, the first position of the speaker can be filled by any of the n members. After the speaker is chosen, there are n-1 members left to select from for the position of vice speaker. Therefore, the total number of ways the speaker and vice speaker can be selected is n x (n-1).

For example, if the demonstrator's party has 4 members, there are 4 choices for the speaker position. After the speaker is chosen, there are 3 choices left for the position of vice speaker. So, the total number of ways to select a speaker and vice speaker in the party is 4 x 3 = 12.

This formula can be applied to any size of the party to determine the total number of possible ways to select a speaker and vice speaker.

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Answer:

D.

Step-by-step explanation:

Because 36:20 simplified is 9:5.

Answer:

It is D 9:5

Step-by-step explanation:

Beacuse 9x4= 36

and 5x4= 20

so 36:20 or 9:5

Below are some authorial techniques that can be used to create mystery, tension, or surprise in literature.

Order of events: The order in which events are presented can create a sense of mystery or suspense.

Pacing: The pace of a story can also be used to create suspense. A slow-paced story can build tension by allowing the reader to dwell on the details of a situation, while a fast-paced story can create excitement and surprise by keeping the reader guessing what will happen next.

Structure: The structure of a story can also be used to create mystery, tension, or surprise. For example, a story that is told in flashback can create a sense of mystery by revealing information about the past that is relevant to the present.

Time manipulation: The manipulation of time can also be used to create suspense.

Language: The language that an author uses can also be used to create mystery, tension, or surprise. For example, an author might use vague or ambiguous language to create a sense of mystery, or use strong language to create a sense of tension or surprise.

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Answer:

There are 21 observations in the data set, which is an odd number. Therefore, the middle value will be the (n+1)/2th observation, where n is the total number of observations.

The middle value = (21+1)/2 = 11th observation

The 11th observation is 4,291, so the median of the data is $4.291 million dollars.

Answer:

I assume you want an inequality so

m ≥ 20

Answer:

I made a yt vid for this

Step-by-step explanation:

h t t p s : / / w w w . y o u t u b e . c o m / w a t c h ? v = B T 9 h 5 i f R 1 t Y

Answer:

Sorry

Step-by-step explanation:

Sorry I don't know the answer because I haven't learned this yet. Hope you get your answer!

Answer:

35000/1000 = 35m height

Answer: 35m

Step-by-step explanation: 35000mm -m

1m = 1000mm

therefore, 35000/1000

= 35m

HOPE IT HELPED U,

PLS MARK AS BRAINLIEST

^_^

We observed Function h(x) is greater than function g(x) for all values of x.

A mathematical expression represents the relationship between independent variables and dependent variables.

when we plot the domain and ranges of a function in the XY coordinate, we get a collection of points. In the next, we join the coordinate to obtain  

line, curves and so on based on the expression of function.

From the graph given in question, we observed that h(x) is greater than g(x) because the domain and ranges of h(x) is greater than g(x).

If we compare for each value of x, we observe that h(x) is always bigger than g(x)

hence, function h(x) is > function g(x) for any values of x

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The probability that exactly 4 out of the 5 randomly selected employees are cashiers is approximately 0.00549 or 0.549%

To calculate the probability that exactly 4 out of the 5 employees selected to work on Labor Day are cashiers, we need to use the concept of combinations and probabilities.

First, let's determine the total number of ways to select 5 employees out of the 22. This can be calculated using the combination formula:

C(n, k) = n! / (k!(n-k)!)

where n is the total number of employees (22) and k is the number of employees selected (5).

C(22, 5) = 22! / (5!(22-5)!)

= 22! / (5! * 17!)

= (22 * 21 * 20 * 19 * 18) / (5 * 4 * 3 * 2 * 1)

= 22,957

So, there are a total of 22,957 ways to select 5 employees out of the 22.

Next, let's determine the number of ways to select exactly 4 cashiers out of the 9 cashiers. This can also be calculated using combinations:

C(9, 4) = 9! / (4!(9-4)!)

= 9! / (4! * 5!)

= (9 * 8 * 7 * 6) / (4 * 3 * 2 * 1)

= 126

Now, let's calculate the probability of selecting exactly 4 cashiers out of the 5 employees randomly selected for overtime pay:

P(4 cashiers) = Number of ways to select 4 cashiers out of 9 / Total number of ways to select 5 employees from 22

= C(9, 4) / C(22, 5)

= 126 / 22,957

≈ 0.00549

Therefore, the probability that exactly 4 out of the 5 randomly selected employees are cashiers is approximately 0.00549 or 0.549%

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Answer:

1:1 and 1:87

Step-by-step explanation:

115.

The point estimate for the average IQ score of the population of 3000 college students based on a simple random sample of 150 students with an average IQ score of 115 and a standard deviation of 10 is 115.

Therefore, the correct option is 115.

A point estimate is an estimate of a population parameter based on a single value or point. It is obtained by using statistics collected from a sample to infer population values. It can be a single value or a range of values that best represents the unknown population parameter.

Based on the given information, a simple random sample of 150 students is drawn from a population of 3000 college students.

Among sampled students, the average IQ score is 115 with a standard deviation of 10. The point estimate, in this case, is the average IQ score of the population, which is estimated to be 115 based on the sample data.

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Answer:

x = 12

Step-by-step explanation:

5(x-4) = 3x+4

5x-4*5 = 3x+4

5x-20 = 3x+4

5x-3x = 4+20

2x = 24

x = 24/2

x = 12

The value of x in the expression is 3 / 2.

The value of x in the expression can be found as follows:

Therefore, the quotient rule can be used to find the value of quotient x in the expression as follows:

q⁵ × q²ˣ = q¹⁰ ×  q⁶ / q⁸

Using the quotient rule

\(A^{x} X A^{y} = A^{x + y}\)

Therefore,

q⁵ × q²ˣ = q¹⁰ ×  q⁶ / q⁸

q⁵⁺²ˣ = q¹⁶ / q⁸

q⁵⁺²ˣ = q⁸

cancel the base

5 + 2x = 8

2x = 8 - 5

2x = 3

divide both sides of the equation by 2

x = 3 / 2

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a) The general solution is y = t^4/4 + t^2/2 + A, b) The general solution is y = t^5/20 + t^3/6 + At + B, c) the general solution is x = t^6/120 + t^4/24 + At^2/2 + Bt + C   d) The general solution is y = 3t^2/4 + t + A/2

(a) To find the general solution of y′=4t^3+t, we need to integrate both sides of the equation with respect to t. This gives us:
y = ∫(4t^3+t)dt = t^4/4 + t^2/2 + A
So the general solution is y = t^4/4 + t^2/2 + A, where A is the first constant of integration.

(b) To find the general solution of y′′=4t^3+t, we need to integrate both sides of the equation twice with respect to t. This gives us:

y′ = ∫(4t^3+t)dt = t^4/4 + t^2/2 + A
y = ∫(t^4/4 + t^2/2 + A)dt = t^5/20 + t^3/6 + At + B

So the general solution is y = t^5/20 + t^3/6 + At + B, where A is the first constant of integration and B is the second constant of integration.

(c) To find the general solution of d^3x/dt^3=4t^3+t, we need to integrate both sides of the equation three times with respect to t. This gives us:
d^2x/dt^2 = ∫(4t^3+t)dt = t^4/4 + t^2/2 + A
dx/dt = ∫(t^4/4 + t^2/2 + A)dt = t^5/20 + t^3/6 + At + B
x = ∫(t^5/20 + t^3/6 + At + B)dt = t^6/120 + t^4/24 + At^2/2 + Bt + C

So the general solution is x = t^6/120 + t^4/24 + At^2/2 + Bt + C, where A is the first constant of integration, B is the second constant of integration, and C is the third constant of integration.

(d) To find the general solution of 2y′=3t+2, we need to integrate both sides of the equation with respect to t. This gives us:

2y = ∫(3t+2)dt = 3t^2/2 + 2t + A
y = (3t^2/2 + 2t + A)/2 = 3t^2/4 + t + A/2

So the general solution is y = 3t^2/4 + t + A/2, where A is the first constant of integration.

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Answer:

You have to multiply be A before each other

Step-by-step explanation:

Answer:

Ricky it is 1,202

And for Pedro = 1,202 + 276 = 1,478

Step-by-step explanation:

The computation is shown below:

Let us assume the ricky be x

So pedro be x + 276

Now the equation is

x + x + 276 = 2680

2x + 276 = 2680

2x = 2680 - 276

2x = 2404

x = 1,202

For Ricky it is 1,202

And for Pedro = 1,202 + 276 = 1,478

Answer:

m= -1/3

good luck!

Answer:

0.25

Step-by-step explanation:

Probability is the chance you get a certain thing when you pick randomly. In this case, it's asking the probablility of picking someone from a whole student survey that does music or drama.

Looking at the two way table is easy! Out of all grades, 65 are in sports, 25 have music or drama, and 10 has work. Add them all up and get 100.

However, we only found the people in the survey. We need to find the probability of someone in music and drama. So we divide the number of people in all grades who take that class and divide it by the total amount- 25/100, this turns out for the probability to be 0.25.