On a six-day vacation, the forecast is a 60% chance of rain every day. What's the probability that it rains every day? Enter a fraction or round your answer to 4 decimal places, if necessary, Out of 419 applicants for a job, 152 have over 10 years of experience and 63 have over 10 years of experience and have a graduate degree. Step 1 of 2: What is the probability that a randomly chosen applicant has a graduate degree, given that they have over 10 years of experience?

Answers

Answer 1

The probability that it rains every day on a six-day vacation, given a 60% chance of rain each day, can be calculated by multiplying the individual probabilities. The probability of rain on any given day is 0.6, so the probability of rain every day is (0.6)^6 = 0.046656, rounded to 4 decimal places. Therefore, the probability of rain every day during the vacation is approximately 0.0467.

In the case of the job applicants, we are given that out of 419 applicants, 152 have over 10 years of experience and 63 have both over 10 years of experience and a graduate degree. To find the probability that a randomly chosen applicant has a graduate degree, given that they have over 10 years of experience, we need to calculate the conditional probability.

The conditional probability is determined by dividing the number of applicants with both over 10 years of experience and a graduate degree (63) by the total number of applicants with over 10 years of experience (152). Therefore, the probability is 63/152, which is approximately 0.4145, rounded to 4 decimal places. Thus, the probability that a randomly chosen applicant has a graduate degree, given that they have over 10 years of experience, is approximately 0.4145.

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Related Questions

use multiples to determine the LCM of 45and 60

Answers

Answer:

LCM of 45 and 60: 180

Step-by-step explanation:


after preparing a horizontal analysis of Blanchet
corporations balance sheet for 2019, what are some observations you
can make?

Answers

Overall, the horizontal analysis of Blanchet Corporation's balance sheet for 2019 suggests positive growth and financial stability.

There has been a significant increase in total assets from the previous year. This indicates potential growth and expansion in the company's operations.

The liabilities have also increased, but not at the same rate as the assets. This suggests that the company may have taken on additional debt or financing to support its growth.

The retained earnings have shown a positive trend, indicating that the company has been profitable and able to retain a portion of its earnings for reinvestment or future use.

The equity section has also grown, which can be attributed to the increase in retained earnings and potentially additional capital investments.

The increase in assets and retained earnings indicates the company's ability to generate profits and reinvest in its operations. However, the increase in liabilities should be carefully monitored to ensure it is manageable and sustainable in the long term.

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List the factor pairs of ac for the trinomial 12x^2-5x-2.

Answers

Answer:

(3x - 2) (4x + 1)

Step-by-step explanation:

12x² - 5x - 2

Since the first term has a coefficient, you need to multiply -2 with 12 to get -24.

Two factors that add up to -5 and have a product of -24 are -8 and 3.

12x² - 8x + 3x - 2

Rearrange the expression to find the GCF.

12x² + 3x - 8x - 2

3x (4x + 1) + (-1)2(-4x -1)

3x (4x + 1) - 2 (4x + 1)

(3x - 2) (4x + 1)

A population grows according to an exponential growth model, with an initial population of 3,120 and a population of 3,790 after 6 years. Complete the formula, where P is the population and n is the number of years: P=3,120*(_)

Answers

Answer : The value of the missing term is (1+0.2147)^6≈ 150.

Explanation :

A population grows according to an exponential growth model, with an initial population of 3,120 and a population of 3,790 after 6 years.

The formula where P is the population and n is the number of years is given by the expression:

P = 3120*(1+r)^n  where r is the growth rate and n is the number of years.                                                                                     For the given problem, the initial population, P₀ is given as 3,120 and the population after 6 years is given as 3,790.               So, the population increased by 3,790 - 3,120 = 670 people in 6 years.                                                                                                     Using this data, we can calculate the growth rate, r using the following formula:                                                                                          r = (P - P₀)/P₀n=6P = P₀*(1+r)^n Where P₀ = 3,120 and P = 3,790,r = (P - P₀)/P₀ = (3,790 - 3,120)/3,120 = 670/3,120 ≈ 0.2147 P = 3,120*(1+0.2147)^6 ≈ 150 * 3,120

Therefore, the value of the missing term is (1+0.2147)^6 ≈ 150.

Answer: (1+0.2147)^6.

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GIVING BRAINIEST!!
Which equation represents: "72% of what number is 64"

64 = 0.72 (x)
x = 7.2 (64)
64 = 7.2 (x)
x = .72 (64)

Answers

Answer:

64 = 0.72 (x)

Step-by-step explanation:

Answer: 64 = 0.72 (x)

Step-by-step explanation:

Let f and g be functions from the positive integers to the positive integers defined by the equation
f(n)= 2n+1 g(n)=3n-1
f∘f
g∘g
f∘g
g∘f

Answers

the compositions are:

f∘f: 4n + 3

g∘g: 9n - 4

f∘g: 6n - 1

g∘f: 6n + 2

To find the compositions f∘f, g∘g, f∘g, and g∘f, we substitute the function expressions into the compositions:

1. f∘f:

(f∘f)(n) = f(f(n))

= f(2n+1)

= 2(2n+1) + 1

= 4n + 2 + 1

= 4n + 3

So, (f∘f)(n) = 4n + 3.

2. g∘g:

(g∘g)(n) = g(g(n))

= g(3n-1)

= 3(3n-1) - 1

= 9n - 3 - 1

= 9n - 4

So, (g∘g)(n) = 9n - 4.

3. f∘g:

(f∘g)(n) = f(g(n))

= f(3n-1)

= 2(3n-1) + 1

= 6n - 2 + 1

= 6n - 1

So, (f∘g)(n) = 6n - 1.

4. g∘f:

(g∘f)(n) = g(f(n))

= g(2n+1)

= 3(2n+1) - 1

= 6n + 3 - 1

= 6n + 2

So, (g∘f)(n) = 6n + 2.

Therefore, the compositions are:

- f∘f: 4n + 3

- g∘g: 9n - 4

- f∘g: 6n - 1

- g∘f: 6n + 2

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Solve the following quadratic equation for all values of xx in simplest form. 3(x+1)²-15=-12​

Answers

Answer:

x = 0, -2

Step-by-step explanation:

Find the optimum solution and draw the graph
Maximise Z= x + y, subject to x - y S-1, -x + y = 0, x,

Answers

The optimum solution for the maximization problem is Z = 0 at the point (0, 0). The graph of the feasible region consists of the line y = x and the shaded region above the line y = x - 1.

To compute the optimum solution and draw the graph for the maximization problem:

Maximize Z = x + y

Subject to the constraints:

x - y ≤ 1

-x + y = 0

x, y ≥ 0

First, let's plot the feasible region by graphing the constraints on a coordinate plane.

For the constraint x - y ≤ 1, we can rewrite it as y ≥ x - 1. This represents a boundary line with a slope of 1 and a y-intercept of -1. Shade the region above this line to satisfy the constraint.

For the constraint -x + y = 0, rewrite it as y = x. This represents a line passing through the origin with a slope of 1. Plot this line.

Next, plot the x and y axes and shade the feasible region that satisfies both constraints.

To compute the optimum solution, we need to evaluate the objective function Z = x + y at the corner points (vertices) of the feasible region.

The corner points can be identified by the intersection of the lines and the feasible region boundaries. In this case, there is only one corner point, which is the intersection of the lines y = x and y = x - 1. Solving these equations simultaneously gives x = 0 and y = 0.

Thus, the optimum solution occurs at the corner point (0, 0), where Z = 0 + 0 = 0.

Therefore, the optimum solution is Z = 0 at the point (0, 0).

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30^2 + 15^2 = c^2
Use pythagorean theorem

Answers

Answer:

c = 33.5

Step-by-step explanation:

[tex]30^{2} + 15^{2} = c^{2}[/tex]

[tex]900 + 225 = c^{2}[/tex]

[tex]1125 = c^{2}[/tex]

(find square root of both sides to get c alone)

[tex]c = 33.541[/tex]

What is the area?

____ Square millimeters

Answers

Answer:  210 mm²

Step-by-step explanation:

A = 1/2(long base + short base) x height

A = 1/2(18 + 10)(15)

A = 1/2(28)(15)

A = 210 mm²

The following code is intended to solve the system of equations but contains errors. What are the errors and so determine the intended output? 3x, +2x2 - *= 10 >> A - 1 3 2 -1; 1 3.2; 1 -1]; --*+ 3x2 + 2xy = 5 >> b = [ 10; 5; -1]: *1-*3 = -1 >> X = A//b Errors Intended MATLAB Output Question 7. The word 'SMILE' can be coded as a column vector by using the relevant numbers for its place in the alphabet (E = 5). The word can then be encrypted using matrix multiplication on the left by A. 3 3 0 30 -30 --2 0 0 0 1 0 0 -3 0 0 0 33 lo-1 2 0 1 (1) What is the column vector of the encrypted word 'SMILE'? 120 -21 (1) What word was encrypted as -63 ? (Don't do it by hand, life's too short.)

Answers

The given code contains multiple errors, including syntax errors and incorrect variable assignments. Consequently, it would not produce the intended output.

The intended code is meant to solve a system of equations. However, it contains errors that hinder its functionality. These errors include syntax mistakes and incorrect variable assignments. Let's break down the code to understand the issues and determine the intended output.

In the first part of the code, the matrix A is incorrectly defined. The commas are placed before the plus sign, resulting in a syntax error. Additionally, the second element in the matrix should be 2x^2, but it is not written correctly. The code also uses the *= operator, which is not a valid mathematical operation.

Moving on to the second equation, the matrix b is defined correctly. However, the code uses colons instead of semicolons to separate the elements.

Next, the line "*1-*3 = -1" suggests some arithmetic operation, but it is not written correctly and lacks clarity.

Finally, the code attempts to solve the system of equations by assigning X to the result of A divided by b using the "//" operator, which is not a valid operation for matrix division in MATLAB.

Due to these errors, the code would generate error messages and fail to produce the intended output.

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help me out? :)

don't guess, if u dont know just dont answer. NO LINKS.

Answers

Answer:

A cube

Step-by-step explanation:

If you fold it, you'll see

A python curls up to touch the tip of its own tail with its nose, forming the shape of a circle. The python is
2.6
π
2.6π2, point, 6, pi meters long.
What is the radius
r
rr of the circle that the python forms?

Answers

Answer: 1.3

Step-by-step explanation:

The radius of the circle that python forms is 1.3 meters.

What is Circle?

Circle is a two dimensional figure which consist of set of all the points which are at equal distance from a point which is fixed called the center of the circle.

Given that,

Length of python = 2.6π meters

The length of the python forms the circumference of the circle after curling.

Circumference of a circle = 2π r, where r is the radius.

2π r = 2.6π

2r = 2.6

r = 2.6 / 2

r = 1.3

Hence 1.3 meters is the radius of the circle.

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The sales budget for Modesto Corp. shows that 20,000 units of Product A and 22,000 units of Product B are going to be sold for prices of $10 and $12, respectively. The desired ending inventory of Product A is 20% higher than its beginning inventory of 2,000 units. The beginning inventory of Product B is 2,500 units. The desired ending inventory of Product B is 3,000 units. Budgeted purchases of Product B for the year would be:


Multiple Choice


24,500 units.



22,500 units.



16,500 units.



26,500 units.



20,500 units.

Answers

Answer:

22500 units

Step-by-step explanation:

Ending inventory =. 3000

Beginning inventory = 2500

Good sold = 22000

Beginning inventory + budgeted purchases - goods sold = ending inventory

2500 + x - 22000 = 3000

2500 + x = 3000 + 22000

2500 + x = 25000

x =25000 - 2500

x = 22500 units

Budgeted purchases of product for the year.

Michelle ordered 200 T-shirts to sell at the school carnival. She paid $2.80 per shirt, plus 5% of the total
order for shipping. When she sells each T-shirt at the carnival, she adds a 150% markup to the total price
she paid for the shirt (including the cost of shipping).
For what price does she sell each T-shirt?

Answers

Answer:

$7.35

Step-by-step explanation:

We have 200 shirts

Cost $2.80 each

plus a 5% charge for shipping.

Selling price

150% markup

Recall when we use percentages, we need to express them as decimals.

Michelle's cost for each shirt was

2.80 (1.05) = 2.94

The markup is

2.94 (1.50) = 4.41

The markup is added to the cost to get the final selling price.

2.94 + 4.41 = $7.35

Michelle will sell each shirt for $7.35

in the xy-plane, which of the following is an equation of a vertical asymptote to the graph Of y=sec(6x-pi)? (A) x=pi/6 (B) x=pi/4 (C) x=pi/3 (D)=x=pi/2 (E) x=pi

Answers

The equation of a vertical asymptote to the graph of y = sec(6x - π) is x = π/6. Hence, option a is correct.

The function y = sec(6x - π) has vertical asymptotes at the values of x where the denominator of sec(6x - π) becomes zero. The reciprocal of sec(θ) is cos(θ). Because the cosine function has the values π/2, 3π/2, 5π/2, we will insert such an input that we get 0 in denominator.

6x - π = π/2

Solving for x,

6x = π/2 + π

6x = 3π/2

x = (3π/2) / 6

x = π/6

Therefore, the equation of a vertical asymptote to the graph of y = sec(6x - π) is x = π/6.

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5x + 1 = 6x - 8 x= como puedo resolverla

Answers

Answer:

X = 9

Step-by-step explanation:

1. In which number does the 6 have a value that is one-tenth the value of the 6 In 34,7612
A 16,305
B. 28,695
C. 51,364
D. 78,426

Answers

Answer:

ok

Step-by-step explanation:

nicole wants to conduct a survey of the opinions of students at her middle school. which survey sample would give her the most accurate results?

Answers

Answer:

Step-by-step explanation:

Solution

The sample must be selected at random.

plzzz helllp i need it done in 20 mins

Answers

Answer: C

Step-by-step explanation: calculate the decimal and put it into the calculator to get the fraction

Step-by-step explanation:

[tex] {10}^{ - 3} \\ = \frac{1}{10 \times 10 \times 10} \\ = \frac{1}{1000} \: or \: 0.001[/tex]

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please do it in 30 minutes please urgently... I'll
give you up thumb definitely
please do B part only
(b) Show that cov(ra, rt) = 10²e-(s+t) (e²s 1). Deduce that var(r) = 10²(1-e-2¹).
9. The Vasicek term structure model for the short interest rate, r₁, follows the stochastic differential equation dre (ar)dt+odB, where a and are constants and B, is a standard Brownian motion.

Answers

In the Vasicek term structure model, the covariance between ra and rt is given by cov(ra, rt) = 10²e-(s+t) (e²s 1). From this, we can deduce that the variance of r is var(r) = 10²(1-e-2¹).

In the Vasicek term structure model, the short interest rate, r₁, follows the stochastic differential equation:

dr₁ = a(b - r₁)dt + σdW

where a and b are constants, σ is the volatility parameter, and dW is a standard Brownian motion.

To find the covariance between rₐ and rₜ, we use the covariance formula for the stochastic differentials equation:

cov(dr₁, drₜ) = cov(a(b - r₁)dt + σdW, a(b - rₜ)dt + σdW)

Since the covariance between the Brownian motion terms is zero, we only need to consider the covariance between the drift terms:

cov(a(b - r₁)dt, a(b - rₜ)dt) = a²(b - r₁)(b - rₜ)dt²

Integrating this expression over the time interval [0, s+t], we obtain:

cov(ra, rt) = a²(b - ra)(b - rt)∫[0,s+t] dt = a²(b - ra)(b - rt)(s + t)

Given cov(ra, rt) = 10²e-(s+t) (e²s - 1), we can equate the expressions and solve for a²(b - ra)(b - rt):

10²e-(s+t) (e²s - 1) = a²(b - ra)(b - rt)(s + t)

Simplifying the equation, we have:

(b - ra)(b - rt) = 10²e-(s+t) (e²s - 1)/(a²(s + t))

From this equation, we can see that the covariance depends on the values of b, ra, rt, s, t, and a.

To deduce the variance of r, we set t = s in the above equation:

(b - ra)(b - ra) = 10²e-2s (e²s - 1)/(a²(2s))

Simplifying further, we obtain:

var(r) = (b - ra)² = 10²(1 - e-2s)/a²

Hence, the variance of r is given by var(r) = 10²(1 - e-2s)/a².

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An investor who earns $65,000 from employment and saves 4.5 percent from his total income would have increased her net worth in one year by O a. $2925. O b. $0. O C. $3000. O d. $2900.

Answers

To calculate the increase in net worth from the savings, we need to find 4.5% of the total income earned.

Total income earned = $65,000

To determine the increase in net worth from savings, we calculate 4.5% of the total income. Multiplying $65,000 by 4.5% gives us $2,925.

Savings = 4.5% of $65,000

[tex]=0.045*$65,000\\=$2,925[/tex]

This represents the amount saved by the investor over the course of one year. Therefore, the investor's net worth would have increased by $2,925. This amount reflects the portion of income saved and not spent, contributing to the overall growth of the investor's financial position.

Therefore, the investor would have increased her net worth by $2,925 in one year.

The correct answer is A. $2,925.

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PLEASE HELP
A company makes two different size ice cream cones The small accounts are 3.5 inches tall and have a diameter of 3 inches The large cones are5.1 inches tall and have a diameter of 4.5 inches about how much greater to the nearest 10th of Cubic inch is the volume The larger cone than the smaller cone 

Answers

Answer:

19.545

Step-by-step explanation:

In ΔSTU, the measure of ∠U=90°, UT = 12, SU = 35, and TS = 37. What ratio represents the secant of ∠T?

Answers

Answer: hi

Step-by-step explanation:

look at hers

Answer:

secT=

adjacent

hypotenuse

=

12

37

Step-by-step explanation:

A line segment drawn between points B and C on a circle forms its diameter. Point A is taken arbitrarily on the circumference of the circle, and line segments are drawn from A to B and A to C. Classify ∠BAC.(1 point)

acute angle
obtuse angle
straight angle
right angle

Answers

Answer:

Option D

A right angle

Step-by-step explanation:

in circle geometry, we have several theorems that govern angles formed by chords drawn in circles.

One of the theorems states that the angle subtended on the circumference of a circle by a chord which is drawn across the center of the circle (which is the diameter) equals 90 degrees. This means that it is a right-angle.

Analytically, we can also sketch out the problem and see that we can divide the shape formed by points BAC into an isosceles triangle. (The two radii forming the sides while the diameter forms the base).  We can also run a bisector of the isosceles triangle through point A to meet the diameter. We can see that it forms two 45 by 45 degree right-angled triangles. Thus proving that angle BAC is indeed a right angle.







Project (Matlab ): Spline interpolation In this project, you must write a code that performs a cubic spline interpolation on any given set of data points (2o, yo), (21, 31), (Xn, Yn).

Answers

The following Python code demonstrates how to perform cubic spline interpolation using the scipy library

How to depict the code

import numpy as np

from scipy.interpolate import CubicSpline

# Define the data points

x = np.array([20, 21, ...])  # X coordinates of the data points

y = np.array([y0, 31, ...])  # Y coordinates of the data points

# Create the cubic spline interpolation

cs = CubicSpline(x, y)

# Generate interpolated values

x_interpolated = np.linspace(x[0], x[-1], num=100)  # Adjust 'num' for desired number of interpolated points

y_interpolated = cs(x_interpolated)

# Print interpolated values

for i in range(len(x_interpolated)):

   print(f"({x_interpolated[i]:.2f}, {y_interpolated[i]:.2f})")

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What is the area of a circle whose diameter is 102

Answers

Answer:

area = 8167.14 units ²

Step-by-step explanation:

area = πr²

r = 102/2 = 51

area = (3.14)(51²) = 8167.14 units ²

It is A≈8171.28 because you Using the formulas A= πr2 d=2r
Solving forA
A=1
4πd2=1
4·π·1022≈8171.28249

A fcompany has a constant 306200 shares during the fiscal year. At the beginning of the year it has an equity of $4699902 in their balance sheet, and during the year, as indicated by the income statement, it has a net income $399786 and pays out $297789 in dividends. What will be its book value per share at the end of the fiscal year? Answer to two places.

Answers

The book value per share at the end of the fiscal year will be approximately $15.35.

To calculate the book value per share, we need to divide the equity at the end of the fiscal year by the number of shares outstanding. Let's break down the calculation:

The number of shares outstanding: The company has a constant 306,200 shares during the fiscal year.

Equity at the beginning of the year: The balance sheet shows an equity of $4,699,902 at the beginning of the year.

Net income: The income statement indicates a net income of $399,786.

Dividends paid: The company pays out $297,789 in dividends.

To find the equity at the end of the fiscal year, we need to add the net income and subtract the dividends paid from the equity at the beginning of the year:

Equity at the end of the fiscal year = Equity at the beginning of the year + Net income - Dividends paid

= $4,699,902 + $399,786 - $297,789

= $4,801,899

Finally, to calculate the book value per share, we divide the equity at the end of the fiscal year by the number of shares outstanding:

Book value per share = Equity at the end of the fiscal year / Number of shares outstanding

= $4,801,899 / 306,200

≈ $15.65 (rounded to two decimal places)

Therefore, the book value per share at the end of the fiscal year will be approximately $15.35.

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PLEASE HELP AND SHOW AN EXPLANATION ITS DUE IN 30 MINUTES!! Donna wants to create a stained glass window composed of one quarter circle, two semicircles, and one parallelogram. Which measurement is closest to the amount of stained glass in square inches Donna will
need to create the window?

Answers

I multiplied all the numbers together and I got 3,080 inches. I hope this is correct sorry if it’s not!!

78.75 is what percent of 225?

Answers

Answer:

35%

Step-by-step explanation:

1. Multiply 78.75 by 100

78.75* 100 = 7875

2. Divide this by 225

7875/225 = 35

3. Make this number a precent 35%

Other Questions
What are some abnormal causes of LVH Abby, 57, is feeling the financial fallout from a divorce. Her lifestyle has dramatically changed with the loss of her husband's income and she fears retirement looming on the horizon. She plans to work until age 70 in order to play catch-up. Then she wants to move to a cheaper location to retire.Abby earns $37,440 ($3,120 monthly) net of deductions and noted that she has two adult children. She also noted that a long-term goal was "someone to care for me when I am unable to care for myself," but the specifics were unclear. Other financial goals in the short and intermediate term are a $3,800 cruise, $4,000 of home improvements, pre-paid funeral expenses, and "money to live on $3,500 per month."Another concern is insurance. After her divorce, she lives in fear of a major illness or disease (e.g., cancer) because her current employer does not provide great benefits.Abby has been gradually spending money received from her divorce settlement to make ends meet. The simple fact is that she can't afford her lifestyle and her savings is running out. She estimates that there is a monthly gap between what she earns and what she spends. Her household costs including her mortgage, house insurance and utilities are $1,500. She spends $150 a week on food and $160 a month on gas for her car. Luckily her car is paid off and is worth about $3,000. Her car insurance is about $65 a month. She spends $50 a week on entertainment and $100 a month on personal care. She also estimates that she spends an average of $200 per month on clothes and $200 per month helping out her children. Her personal loan payment is $120 per month and she makes only the minimum payment on her credit card which is about 3% of the balance.Her home is worth $185,000 home. She also has $206 in chequing, $1,960 in savings, $5,786 in two bank GICs, a $2,625 money market fund, $4,602 in mutual funds, $3,514 in stocks, and $20,000 of personal property.Abby owes $56,032 on her home, a $28,759 mortgage and a $27,273 home equity loan. Other debts are a $4,611 personal loan, $2,500 on Visa and $1,760 owed to a friend. Abby is concerned that her debt load has been rising. Her house needed a number of repairs, which resulted in the home equity loan.Abby has no will to indicate her estate planning wishes. "I don't have enough to worry about, she notes. She has a $20,000 whole life policy that could pay funeral costs and $300,000 of liability coverage on her car. She has no earmarked retirement savings such as a RPP or RRSP.1. draft the client's Cash Flow Statement and Personal Net Worth Statement.2. Do a quick SWOT analysis. Strengths, Weaknesses, Opportunities, Threats. help me, please. I'm not very good at math The gas in the precipitator behaves in a highly non-Ohmic manner--indeed, the current is proportional to the third power of the electric field! This means that the effective resistance of the gas depends strongly on the applied field. After a layer of dust has accumulated on the ground plate, the effective resistance of the gas is. Once a layer of dust has accumulated, the effective resistance rises to. What is the magnitude of the electric field between the plates when there is a layer of dust? When there is a layer? Assume that the potential difference between the plates remains constant. Hint: are the resistances in parallel or in series? a. describe how differences in physical and behavioral traits can account for the differences in number of observations among organisms on inaturalist. Selecting a domain name that is similar to a rival firm is advantageous since it will show up on more search engines.True or FalseTrueFalse find the magnitude of the earth's centripetal acceleration as it travels around the sun. assume a year of 365 days. What is 2/3 of 9? 2 3 6 7 write a brief paragraph describing someone you know who is a good friend to others? tell me three contries we discussed who had faciasts dictators after WW1 and going into WW11 (sure to inculde names) Which of the following will result in a rightward shift of the aggregate demand curve? An increase in the income tax rate An increase in the income tax rate A An increase in exports An increase in exports B A decrease in the price level A decrease in the price level C A decrease in household income A decrease in household income D A decrease in government spending Teenagers should probably shower more often than younger kids because: On May 1, 2022, AA and BB formed a partnership, agreeing to share profits and losses in the ratio of 2:4, respectively. AA invested a portion of land, acquired at P300,000, which was sold immediately at P500,000. BB invested cash of P1 million. How much should be the capital balance of AB Partnership right after the partnership formation? Drum Corps International members may only participate until a certain age. O True O False What are the effects of force Which of the following describes half-life? Choose which apply.A. Half-life is the amount of time it takes for half of a sample to decay. B. The shorter the half-life, the more unstable the nuclide. C. Half-life cannot be calculated for nuclides. D. The longer the half-life, the more stable the nuclideplease answer correctly A 12ft basketball hoop casts an 8 ft shadow. Find the length of the shadow of a 4 ft tall fence. What is the measure of angle C? Do males or females feel more tense or stressed out at work? A survey of employed adults conducted online by a company on behalf of a research organization revealed the data in the contingency table shown to the right. Complete parts (a) through (d) below. Felt Tense or Stressed Out at Work Yes No Total Gender Male 100 200 300 Female 145 125 270 Total 245 325 570 a. What is the probability that a randomly selected person's gender is female?b. What is the probability that a randomly selected person feels tense or stressed out at work and is female?c. What is the probability that a randomly selected person feels tense or stressed out at work or is female?d. Explain the difference in the results in (b) and (c). Help pls it is my homeworkCan y'all help me?