(1 point) Suppose that X is an exponentially distributed random variable with A = 0.45. Find each of the following probabilities: A. P(X> 1) = B. P(X> 0.33)| = c. P(X < 0.45) = D. P(0.39 < X < 2.3) =

The answers to all of the questions are:

1. dividing a whole number by a fraction less than 1 whole results in a quotient that is same as the original number.

2. the quantity that both girls are splitting is 1/4

This would be 1/4 ÷ 2

= 1/4 * 1/2

= 1/8

each girl would get 1/8 of the cake

3.  3 1/2 ÷ 7

= 7/2 * 1/7

= 7/14

= 1/2

Each friend would get 1/2 of the marshmallow

5. weight = 16.5

n = 10

average weight would be

16.5/10

= 1.65

6. Total number of cups needed = 7

at a time = 3.5 of this 7

then 3.5 x 2 would give the exact number.

Danny has to use 2 pots of water.

7. 2 feet / 1/4

2 * 0.25

= 8, Danny would have 8 pieces of ropes after

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The slopes of each pair when analyzed shows us that; first is parallel; second and third are perpendicular and fourth is neither.

The general form of an equation in slope intercept form is;

y = mx + c

where m is the slope

1) The first pair shows that;

y = 6x/5 - 8/5

y = 6x/5 - 5

The slope in both cases is the same and so they are parallel.

2) The second pair of equations shows that;

y = (1/2)x + (1/2)

y = -2x - 5

Both slopes are negative reciprocals of each other and so they are perpendicular.

1st and 3rd box is for perpendicular

3) The third pair of equations shows that;

y = (5/7)x + (8/7)

y = -(7/5)x + 10

Both slopes are negative reciprocals of each other and so they are perpendicular.

1st and 3rd box is for perpendicular.

4) The third pair of equations shows that;

y = 2x + 5

y = 3x + 4

Both slopes are neither parallel nor perpendicular to each other.

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Answer:

30 miles

Step-by-step explanation:

i hope it wil help u

Longwei should first recognize that implementing goals, policies, and structure is only one aspect of effective leadership. A leader's ability to motivate and inspire their employees is just as important. Therefore, Longwei should use the principles of organizational behavior (OB) to better understand his employees and their motivations.

Additionally, Longwei should take a personality assessment to become more self-aware of his own leadership style and how it may be impacting the employees. He should examine his perceptions and biases to ensure that he is making fair and objective judgments and decisions. This may involve seeking feedback from other leaders or mentors, participating in leadership development programs, or engaging in self-reflection and mindfulness practices.

By taking these steps, Longwei can better understand and address the unmotivated employees in his company. He can then develop strategies to engage and inspire them, such as offering incentives, providing opportunities for professional development, or creating a more positive and inclusive work environment. Ultimately, Longwei's success as a leader will depend not only on his ability to set and implement goals but also on his ability to motivate and engage his employees.

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Answer:

The distance between Toronto and Helsinki is 4110 miles, and the distance between Helsinki and Moscow is 558 miles.

Step-by-step explanation:

Let's assign variables to the unknown distances:

Distance from Toronto to Helsinki = x

Distance from Helsinki to Moscow = x - 3552

According to the given information, the total distance flown from NY to Moscow is 5015 miles, and the distance from NY to Toronto is 347 miles. Using these values, we can set up the equation:

347 + x + (x + x - 3552) = 5015

Simplifying the equation:

347 + 2x - 3552 = 5015

Combining like terms:

2x - 3205 = 5015

Adding 3205 to both sides:

2x = 8220

Dividing both sides by 2:

x = 4110

Therefore, the distance between Toronto and Helsinki is 4110 miles, and the distance between Helsinki and Moscow is 4110 - 3552 = 558 miles.

Answer:

4.5 miles in 3/4 hours

Step-by-step explanation:

Find the amount of miles in 1 hour. 18/3=6

Now multiply 1.5x3=4.5

3/4=75

This is how i got 4.5 miles

Substituting a cumulative area of 0.2420, a mean of 0, and a standard deviation of 1 into the inverse normal distribution, the z-score is -0.71 to two decimal places.

Given that the cumulative area of 0.2420, a mean of 0, and a standard deviation of 1, the required z-score has to be determined.We know that the standard normal distribution with mean 0 and standard deviation 1 is denoted as N(0, 1). The inverse normal distribution with a cumulative area of x is the inverse of the normal distribution with cumulative area x. Let z be the z-score corresponding to a cumulative area of x, then we can say that P(Z ≤ z) = x, where P is the cumulative distribution function of the standard normal distribution.

Substituting the given values in the formula, we get:0.2420 = P(Z ≤ z)We need to find the corresponding z-value using inverse normal distribution. Therefore, we take the inverse of the cumulative distribution function, as follows:z = invNorm(0.2420)z = -0.71 (rounded to two decimal places)Thus, the required z-score is -0.71.

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Hey there!

\(20-(-3)\)

\(Subtract:\\20-(-3)\\=-60(ANSWER)\)

Hope this helps!

\(-TestedHyperr\)

The size of the angles of a quadrilateral are in the ratio 1:2:3:3. Calculate the size of each angle. Explanation. Verified. Step 1. 1 of 2.

The derivative of the function f(x)=e^{x+1}-1 among a. e^{x} b. e^{x+1} c. e^{x+1}(x+1) d. e^{x}+1, the derivative of the function f(x) = e^(x+1) - 1 is e^(x+1).

To find the derivative of f(x), we can use the rules of differentiation. The derivative of e^u, where u is a function of x, is given by the chain rule: (d/dx)(e^u) = e^u * du/dx.

In this case, u = x + 1, so we have:

f(x) = e^(x+1) - 1.

To find the derivative, we differentiate each term separately. The derivative of e^(x+1) is e^(x+1) multiplied by the derivative of (x+1), which is 1. The derivative of -1 is 0. Therefore, the derivative of f(x) is:

f'(x) = e^(x+1) * 1 - 0 = e^(x+1).

Hence, the correct answer is option b. e^(x+1).

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Let's find the value of x,

→ 1.025x = 11.55

→ x = 11.55/1.025

→ x = 11.2682926829

→ [x = 11.27]

So, 11.27 is the solution.

Answer:

384 sq mm

Step-by-step explanation:

Remember that the diagonals of a rhombus are perpendicular bisectors of each other.

So, one side of the rhombus, half the longer diag and half the shorter diag form the 3 sides of a right triangle

with the rhombus side being the hypotenuse.

In this case, let the shorter diagnoal be x mm. In the right triangle,

Hypotenuse = 20

One side = 32/2 = 16

Other side = x/2

Applying Pythagoras principle,

[ check the file attatched ]  (taking only the positive square root)

So the shorter diagonal = 12*2 = 24 mm

Area of the rhombus is given by the formula (1/2)*d1*d2 where d1, d2 are the 2 diagonals.

Here, the area = (1/2)*32*24 = 32*12 = 384 sq mm

The earnings per share can be calculated as $0.066 per share (rounded to the nearest cent).

a. The earnings per share for Company XYZ can be calculated by dividing the closing price by the P/E ratio. In this case, the closing price is $100.76 and the P/E ratio is 1525. Therefore, the earnings per share can be calculated as $0.066 per share (rounded to the nearest cent).

b. Based on the historical P/E ratio range of 12-14, the stock price of Company XYZ seems overpriced. The P/E ratio indicates the price investors are willing to pay for each dollar of earnings generated by the company. A higher P/E ratio suggests that investors have higher expectations for future earnings growth. In this case, the P/E ratio of 1525 is significantly higher than the historical range of 12-14, indicating that the stock is being valued at a much higher premium relative to its earnings. This suggests that the stock price may be inflated and not in line with the company's historical valuation metrics, indicating an overpriced condition.

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Answer:

-6, 6

Step-by-step explanation:

I hope this helps :)

Answer:

52

Step-by-step explanation:

There are a total of 212 pounds of berries, and the number of friends sharing the berries is equal to 4.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the given information in the question,

The total amount of berries = 212 pounds

The number of berries received by each one = 54 pounds

Then, the number of friends sharing the berries is:

212/54 = 3.92 ≈ 4 friends.

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The rationalization of the denominator gives 4√3 + 5√ 2/4√3 - 3√2

Rationalization of surds is simply converting the denominator of a fraction from an irrational number to a rational number.

Given that;

\( \frac{4 \sqrt{3} + 5 \sqrt{2} }{ \sqrt{48} - \sqrt{18} } \)

Let's find the perfect squares in 48 and 18

For √48 = √ 16 ×3

√18 = √ 9 × 2

Substitute into the denominator

\( \frac{4 \sqrt{3} + 5 \sqrt{2} }{ \sqrt{16 \times 3} - \sqrt{9 \times 2} } \)

Find the squares

\( \frac{4 \sqrt{3} + 5 \sqrt{2} }{4 \sqrt{3} - 3 \sqrt{2} } \)

Thus, the rationalization of the denominator gives 4√3 + 5√ 2/4√3 - 3√2

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Answer: 0.69

Step-by-step explanation:

0.44 + 0.25 = 0.69

The correct answer is \(\boxed{0.69}\)

For this question we will be adding the numbers given.

Given:

\(0.44\\0.25\)

Therefore, the equation is:

\(\boxed{0.44 +0.25}\)

Therefore, the correct answer is \(\boxed{0.69}\)

Divide number of pens given by percentage:

2/0.25 = 8

She has 8 pens total.

The given statement "In one scene in 8 1/2, Guido steps onto an elevator that takes on the characteristics of a confession booth" is True.

What is 8 1/2?8 1/2 is an Italian drama movie which was released in the year 1963. It was directed by Federico Fellini. The movie is widely recognized as a highly influential classic of world cinema. The story is about a renowned filmmaker named Guido Anselmi. He is in the middle of making a film but is struggling to come up with a plot for it. In one scene of the movie, Guido steps onto an elevator that takes on the characteristics of a confession booth.MAIN ANS:True, In one scene in 8 1/2, Guido steps onto an elevator that takes on the characteristics of a confession booth.The elevator in 8 1/2 takes on the characteristics of a confession booth as a result of its setting and characters. The elevator setting in the film emphasizes that Guido is in a confessional box and is confessing his sins. It was a unique way of depicting Guido's guilt. The way the elevator shook and rattled, making him feel like he was in a confessional box, was symbolic of how he felt. It was as if he was being taken to a higher power who was listening to him.

The scene emphasizes the religious imagery in the movie. It allows us to gain insight into Guido's psyche and the struggles he was having. The religious imagery in the movie suggests that Guido is trying to connect with a higher power to overcome his guilt. The scene also shows the extent to which he is willing to go to gain clarity.

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The equation of the line r is y = ₋(10/9)x ₊ 7.

Given, parallel lines have the same slope. Solve for the slope in the first line by converting the equation to slope intercept form

equation of line q is y = ₋10/9x ₊ 2

it's already in slope intercept form.

hence slope is:

m = (₋10/9) from the above the equation.

we know that the second line will also have a slope of ₋10/9 and we are given the point (9 , ₋3). We can setup an equation in slope intercept form and use these values to solve for the y inetrcept.

y = mx ₊ b

₋3 = ₋10/9 (9) ₊ b

₋3 = ₋10 ₊ b

b = 7

plug the y intercept back into the equation to get our final answer.

y = ₋(10/9)x ₊ 7

hence  we get the equation of the line r as y = ₋(10/9)x ₊ 7.

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The graph of y = -3√(x - 6) is a vertically compressed and reflected square root function that has been translated 6 units to the right compared to the parent function y = √x. The vertex of the graph is located at (6, 0).

The parent function y = √x represents a square root function with its vertex at the origin (0, 0). When graphing y = -3√(x - 6), the graph undergoes several transformations.

Translation:

The term "x - 6" inside the square root function indicates a horizontal translation. The graph is shifted 6 units to the right. The vertex, which was originally at (0, 0), will now be at (6, 0).

Amplitude:

The coefficient in front of the square root function (-3) affects the amplitude of the graph. Since the coefficient is negative, the graph is reflected vertically. This means that the graph is upside down compared to the parent function. The negative coefficient also affects the steepness of the graph.

The absolute value of the coefficient (3) represents the vertical compression or stretching of the graph. In this case, since the coefficient is greater than 1, the graph is vertically compressed.

Combining the translation and reflection:

By combining the translation and reflection, we find that the graph of y = -3√(x - 6) is a vertically compressed and reflected square root function. It is shifted 6 units to the right compared to the parent function. The vertex is located at (6, 0).

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The next crow observed will be black is not supported by the premises in any meaningful way. The premises do not guarantee the outcome of the next observation.  Argument B is the stronger argument.

Argument A is an example of an inductive argument, as it generalizes from a limited sample to make a broader claim about the entire population. This argument form is called induction and can be evaluated on its strength.

Argument B is a deductive argument, as it uses a conditional premise to reach a definite conclusion. In this form of argument, the conclusion necessarily follows from the premises. The strength of a deductive argument depends on the logical structure of the premises and conclusion.

The better argument of the two is argument B. Because in deductive arguments, the conclusion necessarily follows from the premises if the premises are true.

And this argument, the premises state that if 90% of observed crows are black, then the next crow observed will be black.

Additionally, it is also claimed that 90% of observed crows are black. Therefore, it can be logically deduced that the next crow observed will be black

The argument in A, however, is an inductive argument, where the conclusion is not necessarily true even if the premises are true. Even if 90% of observed crows are black, it does not necessarily follow that 90% of all crows are black.

argument B is the stronger argument.

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Answer:

Below.

Step-by-step explanation:

5^4/5^7

= 5^(4-7)

= 5^-3 or 1/5^3.

Or we might write it as 1/125.

Answer:

A) The percentage is given by (The new value)/(The old value)*100 = 120%

B) The increase in value is $90000

C) The increase as a percentage is (90000/450000)*100=20%

a. The new value is 120% of the old value.

b. The increase in value over the three-year period is $90 000.

c. The increase in value over the three-year period is 20% of the original value.

The percentage is defined as a ratio expressed as a fraction of 100.

a. To find the new value as a percentage of the old value, we can divide the new value by the old value and multiply by 100 to get a percentage:

New value as a percentage of old value = (New value / Old value) x 100%

= ($540 000 / $450 000) x 100%

= 120%

Therefore, the new value is 120% of the old value.

b. To find the increase in value over the three-year period, we can subtract the old value from the new value:

Increase in value = New value - Old value

= $540 000 - $450 000

= $90 000

Therefore, the increase in value over the three-year period is $90 000.

c. To find the increase in value as a percentage of the original value, we can divide the increase in value by the old value and multiply by 100 to get a percentage:

Increase in value as a percentage of original value = (Increase in value / Old value) x 100%

= ($90 000 / $450 000) x 100%

= 20%

Therefore, the increase in value over the three-year period is 20% of the original value.

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Shirabi needs to sell a minimum of 20 purses in order to reach her break-even point, where her total revenue equals her total costs.

To find the break-even point, we need to determine the number of purses that Shirabi needs to sell in order to cover her costs and not incur any loss. The equation representing her break-even point is given as:

208 + 10x

Here, 208 represents the cost of the sewing machine, and 10x represents the total cost of thread, fabric, and accessories for each purse, multiplied by the number of purses sold.

To find the break-even point, we need to set the equation equal to zero:

208 + 10x = 0

Now, let's solve for x:

10x = -208

x = -208/10

x = -20.8

Since the number of purses sold cannot be negative, we can disregard the negative solution. Therefore, Shirabi's break-even point is when she sells 20 purses.

Shirabi needs to sell a minimum of 20 purses in order to reach her break-even point, where her total revenue equals her total costs. Selling fewer than 20 purses would result in a loss, while selling more than 20 purses would generate a profit.

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Answer:

the questions mark is 2

9-7 = 2

Answer:

12^2-(9-7)^3+6

we make 9-7=2

then 12^2-(2)^3+6

Answer: A

Step-by-step explanation:

Drawing the isosceles right triangle on the right , a=8+6=14

and b²=6²+6²=> b=6√2

answer A

Answer:

The last one is the answer.

Step-by-step explanation:

5 root5

the solution is attached