Finding probability, please help!! show all work!!

There are five possibilities for whole numbers such that radical expression 4 ≤ √3 + √x ≤ 5: {6, 7, 8, 9, 10}

In this problem we have the case of a radical expression, from which we need to determine at least a whole number such that following inequality is fulfilled:

4 ≤ √3 + √x ≤ 5

This can be done by algebra properties. First, determine the limits of the inequality:

4 ≤ √3 + √x

4 - √3 ≤ √x

(4 - √3)² ≤ x

x ≥ (4 - √3)²

x ≥ 16 - 8√3 + 3

x ≥ 19 - 8√3

√3 + √x ≤ 5

√x ≤ 5 - √3

x ≤ (5 - √3)²

x ≤ 25 - 10√3 + 3

x ≤ 28 - 10√3

There are five possibilities for five whole numbers: 6, 7, 8, 9, 10

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Answer:

To perform a 180° rotation about the origin, we simply switch the signs of the coordinates and flip them across the x-axis. So, the new coordinates of the vertices will be:

(2, 1) -> (-2, -1)

(4, 2) -> (-4, -2)

(2, 4) -> (-2, -4)

Plotting these points and connecting them, we get the triangle:

      (2, 4)

        *

       / \

      /   \

(-2, -4)---(-4, -2)

    (2, 1)

After the 180° rotation, the triangle is flipped upside down and its position is mirrored across the origin.

Step-by-step explanation:

The probability that an Endure All battery selected at random will last more than 610 hours is 0.1056.

What is a normal distribution?

A data collection with a normal distribution is put up so that the majority of the values cluster in the middle of the range and the remaining values taper off symmetrically in either direction.

Here, we have

Normally distributed with a mean of 500 hours and a standard deviation of 40 hours.

We have to calculate the probability that an endure all battery selected at random will last more than 550 hours.

Given that μ = 500, σ = 40, for x > 550

z = 550-500/40

z = 1.25

From the normal distribution table, P(z > 1.25) = 1 - P(z < 1.25) = 1 - 0.8944 = 0.1056

Hence, The probability that an Endure All battery selected at random will last more than 610 hours is 0.1056.

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The given material is not used for desired application.

Given data:Material J is suggested to be used as a rod with the applied stress up to 150 MPa. Material J has a yield strength of 340 MPa and the safety factor is 2.Interpretation:Interpret whether this material is used for desired application.Solution:Safety factor = Yield strength / Applied stressSolving for Applied stress we get;Applied stress = Yield strength / Safety factorLet’s put the given values in the above equation;Applied stress = 340 MPa / 2 = 170 MPaThe applied stress on the material should be less than or equal to the suggested stress i.e. 150 MPa. But we have calculated the applied stress of 170 MPa which is greater than 150 MPa.So, this material is not suitable for the desired application.Therefore, the given material is not used for desired application.

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Answer:

hekp

Step-by-step explanation:

Answer: 6896.8

Step-by-step explanation: multiply the number by 100 first, then multiply that number by 16!

Answer:

the answer is a and ik because I just had the test

Answer:

  -0.0062 and 27.5

Step-by-step explanation:

You can write the equation of the line using the 2-point form:

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

The given values of the variables are ...

  (h, T) = (10000, -34.5) and (15000, -65.5)

Putting these into the formula, we have ...

  T = (-65.5 -(-34.5))/(15000 -10000)(h -10000) +(-34.5)

  T = -31/5000(h -10000) -34.5

  T = -0.0062h +62 -34.5

  T = -0.0062h +27.5

The appropriate choice is ...

  -0.0062 and 27.5

Answer:

c

Step-by-step explanation:

Answer:

..........c............

Answer:

x=20 the angles are 80 and 100

Step-by-step explanation:

those types of angels are supplementary, so we can set up an equation like this: 5x+4x=180

We'll get x=20, then we can put 20 into each angle to find out its measure:)

5(20)=100

4(20)=80

Answer(s):

\(\displaystyle y = 100sin\:(\frac{\pi}{50}x + \frac{\pi}{2}) + 100 \\ y = 100cos\:\frac{\pi}{50}x + 100\)

Step-by-step explanation:

\(\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 100 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-25} \hookrightarrow \frac{-\frac{\pi}{2}}{\frac{\pi}{50}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{100} \hookrightarrow \frac{2}{\frac{\pi}{50}}\pi \\ Amplitude \hookrightarrow 100\)

OR

\(\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 100 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{100} \hookrightarrow \frac{2}{\frac{\pi}{50}}\pi \\ Amplitude \hookrightarrow 100\)

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then by all means, go for it, but be careful and follow what is explained here. Now, as you can see, the photograph on the right displays the trigonometric graph of \(\displaystyle y = 100sin\:\frac{\pi}{50}x + 100,\) in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted \(\displaystyle 25\:units\)to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACKWARD \(\displaystyle 25\:units,\)which means the C-term will be negative, and by perfourming your calculations, you will arrive at \(\displaystyle \boxed{-25} = \frac{-\frac{\pi}{2}}{\frac{\pi}{50}}.\)So, the sine graph of the cosine graph, accourding to the horisontal shift, is \(\displaystyle y = 100sin\:(\frac{\pi}{50}x + \frac{\pi}{2}) + 100.\)Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph hits \(\displaystyle [220, 100],\)from there to \(\displaystyle [120, 100],\)they are obviously \(\displaystyle 100\:units\)apart, telling you that the period of the graph is \(\displaystyle 100.\)Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at \(\displaystyle y = 100,\)in which each crest is extended one hundred units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

**I knew exactly what you were talking about the moment you posted this, so here was what you were looking for. It really does not matter which sinusoid and person you select because you will get the same information either way.

I am delighted to assist you at any time.

The graph of cosine function is to model the ride of your chosen rider.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Let us assume that,

Function is,

f(x) = sin(x)

The curve of the sine function crosses the y-axis at the origin, heads up to y = 1 at x = π/2 and down to y = -1 at x = 3π/2.

Domain: (-∞, ∞)

Range: [-1, 1]

For f(x) = cos(x)

The curve of the cosine function crosses the y-axis at (0, 1) which is its maximum, heads down to y = -1 at x = π then heads up again.

Domain: (-∞, ∞)

Range: [-1, 1]

Given information:

Antoine and Adriane begin their journey at the top of the Ferris wheel.

After one revolution, they will again be at the top of the wheel.

If the wheel starts when time t = 0 seconds, and they begin their journey at the top of the wheel (the maximum point), the most appropriate graph to model their ride is the graph of the cosine function since it is at its highest point when x = 0.

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Answer:

The Answer is -5 (negative five)

If a piece of music begins with one section, is followed by a contrasting section, and this second section is then repeated, the form would be labeled ABA form.

In music, the ABA form is a common structure where a piece begins with a section labeled as "A," followed by a contrasting section labeled as "B," and then returns to the initial "A" section. This form is often used to create a sense of balance and contrast within a composition. The repetition of the initial section after the contrasting section provides a familiar and recognizable element, while the contrasting section adds variety and interest to the overall musical structure. The ABA form is widely used in various genres of music and allows composers to develop and explore different musical ideas within a cohesive framework.

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In order to find the probability of a student playing on the football team given that they play in the band, we'll use conditional probability.

The formula for conditional probability is P(A|B) = P(A and B) / P(B).

In this case, A represents playing on the football team, and B represents playing in the band.

Given:
P(B) = 0.15 (probability of playing in the band)
P(A and B) = 0.03 (probability of playing in the band and on the football team)

Now we can apply the formula:

P(A|B) = P(A and B) / P(B) = 0.03 / 0.15 = 0.2

So, the probability that a student at Kennedy High School plays on the football team given that they play in the band is 0.2 or 20%.

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Since the given function is

Since the function after transformation is

Then we will find g(x) by substituting f(x) by (x + 4)

Simplify it

a) The transformed equation is

b)

When we change the sign of f(x), that means we made a reflection on the x-axis

i. -f(x) means reflect f(x) about the x-axis

When we add f(x) by a number, then that means we translate the f(x) by a number

ii. +2 means translate the function 2 units up

Answer:

Step-by-step explanation:

The probability of observing 6 heads out of 10 tosses of a fair coin is approximately 0.205 or 20.5%.The probability of observing 180 heads out of 300 tosses of a fair coin using the Gaussian function is approximately 0.00026 or 0.026%.

To calculate the probability of observing 6 heads out of 10 tosses of a fair coin, we can use the binomial distribution formula:

P(X = k) = (n choose k) * p^k * (1-p)^(n-k)

where n is the number of trials (in this case, 10), p is the probability of success (getting a head, which is 0.5 for a fair coin), k is the number of successes we are interested in (in this case, 6), and (n choose k) is the binomial coefficient, which can be calculated as:

(n choose k) = n! / (k! * (n-k)!)

Using these formulas, we can calculate:

P(X = 6) = (10 choose 6) * 0.5^6 * 0.5^4

= 210 * 0.015625 * 0.0625

= 0.20508

Therefore, the probability of observing 6 heads out of 10 tosses of a fair coin is approximately 0.205 or 20.5%.

To calculate the probability of observing 180 heads out of 300 tosses of a fair coin using the Gaussian function, we can use the central limit theorem. According to the theorem, the sum of a large number of independent and identically distributed  (in this case, the number of heads in each toss) approaches a normal distribution, with a mean equal to the sum of the means of the individual variables (np = 300 * 0.5 = 150) and a standard deviation equal to the square root of the sum of the variances of the individual variables (sqrt(np(1-p)) = sqrt(75) = 8.66).

We can then use the standard normal distribution to calculate the probability of observing 180 heads, using the formula:

P(X > 180) = P(Z > (180 - 150) / 8.66)

= P(Z > 3.47)

Using a standard normal distribution table or calculator, we can find that the probability of observing a Z-score greater than 3.47 is approximately 0.00026.

Therefore, the probability of observing 180 heads out of 300 tosses of a fair coin using the Gaussian function is approximately 0.00026 or 0.026%.

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The stretch of an exponential decay function is y = 2(1/5)ˣ

From the question, we have the following parameters that can be used in our computation:

The list of exponential functions

An exponential function is represented as

y = abˣ

Where

In this case, the exponential function is a decay function

This means that

The value of b is less than 1

An example of this is, from the list of option is

y = 2(1/5)ˣ

Hence, the exponential decay function is y = 2(1/5)ˣ

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Complete question

Which is a stretch of an exponential decay function?

Of(x) = -(5)ˣ

Of(x) = 5(2)ˣ

O fix) = 2(1/5)ˣ

Answer

answer: 1 + 1 = 2 LOLLLLLL

Answer:

Taking LHS:sin 30⁰. tan60⁰

= 1/2 . √3

=√3/2

Now, Taking RHS:Cos 30⁰

=√3/2

LHS =RHS,

Hence proved.

Step-by-step explanation:

The probability of winning in the game can be calculated by dividing the net gain by the cost to play the game, resulting in a probability of winning of 1 in every 250 games.

To determine the probability of winning, we need to compare the net gain with the cost to play the game. In this case, the cost to play is $X, and the net gain is $100,000 - $X. The expected value of the game is given as $Y. Since the expected value is the average outcome over many games, it can be calculated by multiplying the probability of winning by the net gain and subtracting the probability of losing multiplied by the cost to play:

Y = (1/250) * ($100,000 - $X) - (249/250) * $X

Simplifying the equation, we get:

Y = ($100,000 - $X)/250 - (249/250) * $X

Given that the expected value Y is $0, we can solve for X:

($100,000 - $X)/250 - (249/250) * $X = $0

Solving this equation, we find that X is equal to $399.60. Therefore, the probability of winning is approximately 1 in every 250 games.

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Answer:2 and a half years you don’t have to put the half

Step-by-step explanation:half of 37 is 18 and 16+2=18

Answer:

Its a right angel ikasaran

Step-by-step explanation:;]

The hospital must cut the number of overtime hours by approximately 2.91% in order to stay within budget.

To determine the required percentage reduction in overtime hours, we need to consider the impact of the nurses' hourly rate increase and the limited budget increase for overtime wages.

Let's assume the current budget for nurses' overtime wages is denoted by B, and the total number of overtime hours worked is denoted by H. The current overtime rate per hour is R.

With the 5% hourly rate increase, the new overtime rate per hour becomes 1.05R. Considering the limited budget increase of 3%, the new budget for overtime wages is 1.03B.

To calculate the required percentage reduction in overtime hours, we can set up the following equation:

(1.05R) * (1 - x) * H = 1.03B

where x represents the required percentage reduction in overtime hours.

Simplifying the equation, we have:

(1 - x) * H = (1.03B) / (1.05R)

Now, let's solve for x:

1 - x = (1.03B) / (1.05R * H)

x = 1 - [(1.03B) / (1.05R * H)]

Here, we can see that the required percentage reduction in overtime hours, represented by x, depends on the values of B, R, and H.

It's important to note that without knowing the specific values of B, R, and H, we cannot calculate the exact percentage reduction. However, based on the provided information, we can determine the maximum percentage reduction that the hospital must make to stay within budget.

By assuming that B, R, and H are constant, we can use the given constraints to calculate an approximate percentage reduction. Based on the constraints of a 3% budget increase and a 5% hourly rate increase, the hospital would need to reduce the number of overtime hours by approximately 2.91% to maintain a balanced budget.

Please keep in mind that this approximation may vary depending on the specific values of B, R, and H.

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The number of measurements, and the mode being the most frequently occurring value among the snowfall measurements.

The mean, median, and mode are all useful measures of central tendency when researching the amount of snowfall in Cleveland from December to February. The mean is calculated by adding up all of the snowfall measurements and dividing that by the number of measurements. For example, if there were 4 snowfall measurements of 10, 20, 30 and 40 inches, the mean would be 25 inches (10+20+30+40 / 4). The median is the middle value of the snowfall measurements when they are arranged from least to greatest. In this example, the median would be 25 inches as well. The mode is the most frequently occurring value among the snowfall measurements. In this example, the mode is also 25 inches.

The mean, median and mode are all useful measures of central tendency when researching the amount of snowfall in Cleveland from December to February, with the mean and median being calculated by adding up all of the snowfall measurements and dividing that by the number of measurements, and the mode being the most frequently occurring value among the snowfall measurements.

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Answer:

She would have 5 cartons with 92 strawberries in each

The best example of a down payment is given as follows:

C. Billy orders a piano, pays half the cost up front, and has to pay the other half when the piano is delivered.

The down payment of a purchase is when a part of the purchase is paid when the purchase is made, and the other part(subjected to interest or not), is paid later.

In this problem, the example of a down payment is given by option C.

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Answer:

B. Robby pays 10 percent cash up front and gets a loan for the remaining 90 percent of the cost of a condominium

Step-by-step explanation:

i just did it

The value of x is 65. Please note that this solution is based on the assumption that the angles QRP and PSQ are supplementary. If this assumption doesn't hold, feel free to let me know.

We need to find the value of x in the equation ZQRP = (2x + 20)° given that ZPSQ = 30°. Since the question doesn't provide enough information about the relationship between angles QRP and PSQ, I'll assume that they are supplementary angles (angles that add up to 180°). This assumption is based on the possibility that the angles form a straight line or a linear pair.

If angles QRP and PSQ are supplementary, their sum is 180°:

(2x + 20)° + 30° = 180°

Now, we can solve for x:

2x + 50 = 180

Subtract 50 from both sides:

2x = 130

Divide by 2:

x = 65

Answer:

living organism

Step-by-step explanation:

soil particals and decad crops living organism