Please help me with this.

The probability that at least two particles arrive in a two second period is .0003, or 0.03%.

The probability of at least two particles arriving in a two second period can be calculated using the Poisson distribution. The formula for the Poisson distribution is \(P(x; μ) = (e^-μ) (μ^x) / x!\), where μ is the expected number of arrivals (in this case, 80 for two seconds) and x is the number of arrivals (in this case, 2). Plugging the numbers into the formula gives us\(P(2; 80) = (e^-80) (80^2) / 2! = .0003\). Therefore, the probability that at least two particles arrive in a two second period is .0003, or 0.03%.

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Answer:

x = 9

Step-by-step explanation:

Formula

The secant and tangent lines bear the following relationship

(tangent line )^2 = the outside secant line * length of the whole line

Givens

tangent line = 15

outside secant line = x

length of whole secant line = x + 16

Solution

15^2 = x ( x + 16)

15^2 = x^2 + 16x

225 = x^2 + 16x

x^2 + 16x - 225 = 0

Answer and Discussion

The equation has two factors.

(x - 9)(x + 25) =0

x + 25 has no meaning. There cannot be a negative length in this level of geometry.

The answer is x - 9 = 0

x = 9

Answer:

The answer is b) 18.75% decrease

Answer:

Step-by-step explanation:

(-7 + 3)/(6 + 6) = -4/12 = -1/3

y + 3 = -1/3(x + 6)

y + 3 = -1/3x - 2

y = -1/3x - 5

Answer:

there isnt a difference between may and october or atleast i dont think so

Step-by-step explanation:

Answer: There is no difference there are 31 days in May and October.

Step-by-step explanation:

The meteorologist needs to analyze approximately 164 air samples to be 80% certain that the error of estimate does not exceed 0.2 ppm.

A meteorologist aiming to estimate the nitrogen dioxide content in the air needs to consider the standard deviation and desired level of certainty. In this case, the known standard deviation is 2 ppm, and the desired certainty is 80%, with an error of estimate not exceeding 0.2 ppm.
To calculate the number of air samples needed, the meteorologist can use the formula:
n = (Z * σ / E)^2
Here, n represents the required sample size, Z is the z-score corresponding to the desired certainty level (80%), σ is the standard deviation (2 ppm), and E is the margin of error (0.2 ppm).
For 80% certainty, the z-score is approximately 1.28. Plugging the values into the formula, we get:
n = (1.28 * 2 / 0.2)^2 = (12.8)^2 ≈ 164
Thus, the meteorologist needs to analyze approximately 164 air samples to be 80% certain that the error of estimate does not exceed 0.2 ppm.

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Answer:

A ≈ 14.8 units²

Step-by-step explanation:

the area (A) of the triangle is calculated as

A = \(\frac{1}{2}\) yz sin Y ( that is 2 sides and the angle between them )

where x is the side opposite ∠ X and z the side opposite ∠ Z

here y = XZ = 4.3 and z = XY = 7 , then

A = \(\frac{1}{2}\) × 4.3 × 7 × sin79°

   = 15.05 × sin79°

   ≈ 14.8 units² ( to 1 decimal place )

The vertical asymptote of the function f(x) = \(7x^6\) is none.

A vertical asymptote occurs when the value of x approaches a certain value, and the function approaches positive or negative infinity. In the case of the function f(x) =\(7x^6,\) there are no vertical asymptotes. As x approaches any value, the function does not approach infinity nor does it have any restrictions. Therefore, there are no vertical asymptotes for this function. The graph of the function will not have any vertical lines that it approaches or intersects.

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We substitute t = -2 and xº = -2 into the equation for x': x' = -((-2) + (-2)(-2)(-2)º + 5)/(2(-2)(-2)º+1) = -9/17. Therefore, x'(-2,-2) = -9/17.

To find x'(t) for the given implicit equation x^0 + tx + t^0 + 5 = 0, we first need to differentiate the equation with respect to t.

Given equation: x^0 + tx + t^0 + 5 = 0

Step 1: Differentiate both sides of the equation with respect to t.

The derivative of x^0 with respect to t is 0, since x^0 is a constant (1). To differentiate tx with respect to t, we use the chain rule, which states that the derivative of a function with respect to another variable is the product of the derivative of the function with respect to the inner function and the derivative of the inner function with respect to the variable.

d(tx)/dt = x + t(dx/dt)
d(t^0)/dt = 0 (since t^0 is a constant equal to 1)
d(5)/dt = 0 (since 5 is a constant)

Step 2: Rewrite the differentiated equation.

0 + x + t(dx/dt) + 0 + 0 = 0

Step 3: Solve for dx/dt, which represents x'(t).

x'(t) = dx/dt = -x/t
Simplifying and solving for x', we get:

x' = -(xº + tx+tº+ 5)/(2tx+tº+1)

To evaluate x' at the point (-2,-2), we substitute t = -2 and xº = -2 into the equation for x':

x' = -((-2) + (-2)(-2)(-2)º + 5)/(2(-2)(-2)º+1) = -9/17

Step 4: Evaluate x'(t) at the point (-2, -2).

x'(-2) = -(-2)/-2
x'(-2) = 2/2
x'(-2) = 1

Your answer: x'(-2) = 1

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Answer:

1. 2 runners

2. 25 runners

3. 24%

4. 15 runners

5. 60%

6. uh I think it's asking the same thing as 3, so 24%?

Answer:

A

Step-by-step explanation:

Since the two polygons are similar, corresponding sides will have a constant ratio. So, the ratio between ST and FG will be the same as the scale factor between the two shapes.

\(\dfrac{FG}{ST}=\dfrac{15}{36}=\dfrac{5}{12}\)

Therefore, the correct answer is choice A. Hope this helps!

Using the LCM,  the first customer to receive both a shopping bag and a 25% off coupon is the 45th customer.

To find the first customer who will receive both a free shopping bag and a 25% off coupon, we need to find the least common multiple (LCM) of 15 and 9, since the shopping bags are given every 15th customer and the coupons every 9th customer.

Step 1: Find the prime factors of both numbers.
15 = \(3 * 5\)
9 = \(3^2\)

Step 2: Identify the highest power of each prime factor in both numbers.
3: \(3^2\) (from 9)
5: \(5^1\) (from 15)

Step 3: Multiply the highest powers of each prime factor together to find the LCM.
LCM(15, 9) =\(3^2 * 5^1\) = \(9 * 5\) = 45

So, the first customer who will receive both a free shopping bag and a 25% off coupon is the 45th customer.

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The equation of the line in point-slope form is y - 5 = -7(x + 1) and in slope-intercept form is y = -7x - 2.

The equation of a line in point-slope form is given by y - y₁ = m(x - x₁), where (x₁, y₁) represents a point on the line and m is the slope of the line.

Given that the slope (m) is -7 and the point (-1, 5) lies on the line, we can substitute these values into the point-slope form equation:

y - 5 = -7(x - (-1))

Simplifying:

y - 5 = -7(x + 1)

y - 5 = -7x - 7

y = -7x - 2

So, the equation of the line in point-slope form is y - 5 = -7(x + 1) and in slope-intercept form is y = -7x - 2.

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The area of the triangle to the nearest tenth is 5.8cm²

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. A triangle is also a polygon. Examples of triangle include, isosceles, equilateral , scalene e.t.c

The area of a triangle is expressed as;

A = 1/2 b h for right angle triangle and A = absinC for others.

Here; x = 4.7, y = 7.9, W = 162

area = 1/2× 4.7 × 7.9 sin162

= 1/2 × 4.7 × 7.9 × 0.31

= 5.8 cm²( nearest tenth)

Therefore the area of the triangle is 5.8cm²

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For number 8 its the third one.

Answer:

for number 1 I think the answer is non-binomial: the trials are not independent.

for number 2 I think it's 0.015

$6.60 because 6.00 + 0.60 = 6.60

The major methods of recording unstructured observational data are Narrative Description, Field Notes, Audio or Video Recording, Photography, Diagrams or Maps.

The major methods of recording unstructured observational data are:

1. Narrative Description: This method involves writing a detailed, chronological account of the observed events or behaviors, capturing the context and interactions as they occur naturally.

2. Field Notes: In this method, the observer takes brief, concise notes during the observation, focusing on key events, behaviors, or interactions. These notes can be expanded and organized later for further analysis.

3. Audio or Video Recording: Using audio or video equipment, the observer captures the events and interactions in their entirety. This allows for a more accurate record and the ability to review and analyze the data multiple times.

4. Photography: Taking photographs during the observation can provide a visual record of the events and behaviors. These images can supplement other data collection methods and help to illustrate specific aspects of the observation.

5. Diagrams or Maps: Drawing diagrams or maps of the observation setting can help capture the spatial relationships between individuals and objects, as well as the overall layout of the environment.

These methods can be used individually or in combination, depending on the research question and the specific needs of the study. Remember to always respect participants' privacy and obtain informed consent when necessary.

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The force needed to hold the box in a stationary position on the inclined ramp is approximately 156.89 lb. This can be calculated by multiplying the weight of the box (424 lb) by the sine of the angle of inclination (22°).

When the box is at rest on the inclined ramp, the force of gravity acting on it can be resolved into two components: one perpendicular to the ramp (the normal force) and one parallel to the ramp (the force due to gravity along the incline).

The normal force counteracts the component of gravity perpendicular to the ramp and is equal in magnitude but opposite in direction. The force due to gravity along the incline can be determined by multiplying the weight of the box by the sine of the angle of inclination.

To prevent the box from sliding down the ramp, the force needed to hold it in place must exactly balance the force due to gravity along the incline. Therefore, the required force can be calculated by taking the weight of the box and multiplying it by the sine of the angle of inclination.

In this case, the weight of the box is 424 lb, and the angle of inclination is 22°. Thus, the force needed to hold the box in a stationary position is 424 lb  sin(22°).

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Answer:

Rick has 144

Lori has 134

Tom has 134

Step-by-step explanation:

Rick = Lori + 10

=> Rick = 134 + 10 = 144

Tom = Rick - 10

=> Tom = 144 - 10 = 134

Answer:

your answer would be a whole number, so your answer would be 1,000 i think.

this should be the answer because if you multiply

9*1000 you get  9000

if you multiply

25 * 1000 you get 25000

so on and so on

Step-by-step explanation:

hope this helps :)

FICA tax contribution for an employee, multiply their gross pay by the Social Security and Medicare tax rates.

FICA is a U.S. federal payroll tax. It stands for the Federal Insurance Contributions Act and is deducted from each paycheck. Your nine-digit number helps Social Security accurately record your covered wages or self-employment. As you work and pay FICA taxes, you earn credits for Social Security benefits.

For both of them, the current Social Security and Medicare tax rates are 6.2% and 1.45%, respectively. So each party – employee and employer – pays 7.65% of their income, for a total FICA contribution of 15.3%. To calculate your FICA tax burden, you can multiply your gross pay by 7.65%.

For example, if an employee’s taxable wages are $700 for the week, their social security contribution would be: $700.00 x 6.2% = $43.40. Their Medicare contribution would be: $700.00 x 1.45%= $10.15.

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Answer:

$2.25

Step-by-step explanation:

1. 20-6.50= 13.50

2. 13.50/6(pieces of candy) = $2.25

The variable that the friends must consider when calculating the cost of the mountain bike tour is the number of hours they would be on the tour.

The group of friends will have to pay $ 90 to rent the equipment needed for the bike tour which means this is a cost that cannot change and so there is no need worrying about it as a variable.

The only variable that the friends should consider is the number of hours that they would need to go on the mountain bike tour as the total cost will increase based on the number of hours that they spend on the bike tour.

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The question is:

At the campground, the friends sign up to go on a mountain bike tour. It costs $90 to rent the equipment and $100 per hour for a group of four.

What variable must the friends consider when calculating the cost of the mountain bike tour?

Answer:

1600mm

Step-by-step explanation:

total length of the line segment = length of the first string + length of the second string

to add the strings together, convert the length of the first string to millimetre

1cm = 10mm

95 x 10 = 950mm

950mm + 650mm = 1600mm

Answer: x= 105/29,y =-12/29

Step-by-step explanation: cause if you do it the graph way

Answer:

42

Step-by-step explanation:

sum the parts of the ratio, 5 + 6 = 11 parts

Divide the sum by 11 to find the value of one part of the ratio.

77 ÷ 11 = 7 ← value of 1 part of the ratio , thus

6 parts = 6 × 7 = 42 ← larger number

To ensure a zero cash flow in the portfolio, the writer needs to set up a portfolio that offsets the cash flow from selling the derivatives. The writer should have -3 underlying assets in the portfolio (meaning short sold assets)

The cash flow from selling 100 derivatives can be calculated as:

Cash Flow from selling derivatives = 100 * (Premium at time 0 - Expiry value)

Cash Flow from selling derivatives = 100 * (1.34 - 0.64) = 70

To offset this cash flow, the writer needs to include an equal and opposite cash flow from the underlying assets. Let's assume the writer buys ""x"" underlying assets.

Cash Flow from underlying assets = x * (Value at time 0 - Value at time 1)

Cash Flow from underlying assets = x * (36 - 57) = -21x

To make the cash flow from underlying assets equal to the cash flow from selling derivatives, we set up the equation:

-21x = 70

Solving this equation, we find:

x ≈ -3.33

Since the number of underlying assets must be an integer, we round -3.33 to the nearest integer, which is -3.

Therefore, the writer should have -3 underlying assets in the portfolio (meaning short sold assets).

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Answer:

135.5

hope this helps :)

Answer:

true

Step-by-step explanation:

sorry if i am wrong