Given that the events E and F are mutually exclusive, and P(EUF) = 0.64 and P(F) = 0.20, calculate the odds against E. Hint: The odds can be found by taking an appropriate ratio of the probabilities of event E and its complement. a. 14 to 11 b. 18 to 7c. 11 to 7 d. 17 to 6 e. 8 to 13 f. 12 to 1 g. 9 to 21 h. 7 to 9

Carrie will have $15,481.24 after taxes for a year assuming she works 52 weeks.

First, let's calculate the total taxes she pays each week:

Federal income tax rate = 10% of $350.15 = $35.02

State income tax rate = 5% of $350.15 = $17.51

Total taxes per week = $35.02 + $17.51 = $52.53

Now, we can calculate the total amount of taxes she pays for a year:

Total taxes for a year = $52.53 x 52 weeks = $2,731.56

Amount Carrie will have after taxes for a year:

Annual income before taxes = $350.15 x 52 weeks = $18,212.80

Net income after taxes = Annual income before taxes - Total taxes for a year

Net income after taxes = $18,212.80 - $2,731.56 = $15,481.24

To know more about federal income tax rate, here

brainly.com/question/11886585

#SPJ4

--The complete Question is, Carrie Burnside is single, earns $350.15 weekly, and claims 1 allowance. If the federal income tax rate is 10% plus an additional 5% state income tax rate, how much will Carrie have after taxes for a year assuming she works 52 weeks? --

Answer: 90

Step-by-step explanation:

Answer:

The absolute value of -90 is 90

Step-by-step explanation:

-90 is 90 away from 0.

The height of Jane's shadow who is 5.9 feet tall is appoximately 6.3 feet

Given that, a tree 54 feet tall casts a shadow 58 feet long and Jane is 5.9 feet tall.

To find the height of Jane's shadow, we can use proportions and ratios.

Hence:

(Height of the tree) : (Length of the tree's shadow) = (Height of Jane) : (Length of Jane's shadow)

Plug in:

Height of the tree = 54

Length of the tree's shadow = 58

Height of Jane = 5.9

Let Length of Jane's shadow = x

54 feet : 58 feet = 5.9 feet : x

54/58 = 5.9/x

Cross multiply:

54 × x = 58 × 5.9

54x = 342.2

x = 342.2/54

x = 6.3 feet

Therefore, the measure of her shadow is approximately 6.3 feet.

Learn more about ratios and proportions at :

https://brainly.com/question/29774220

#SPJ1

Thus, the cost of the triangular lot land is approximately $81,940 found using Heron's formula.

To determine the cost of the triangular lot, you first need to calculate its area and then convert it to acres.

Given the three sides of the triangle (470 yards, 860 yards, and 1130 yards), you can use Heron's formula to find the area.

Heron's formula for the area of a triangle with sides a, b, and c is:
Area = √(s * (s - a) * (s - b) * (s - c))

where s is the semi-perimeter, calculated as:
s = (a + b + c) / 2

In this case, a = 470 yards, b = 860 yards, and c = 1130 yards.

Therefore, the semi-perimeter, s, is:

s = (470 + 860 + 1130) / 2 = 1230 yards

Now, plug the values into Heron's formula to calculate the area:

Area = √(1230 * (1230 - 470) * (1230 - 860) * (1230 - 1130))
Area ≈ 198,342.77 square yards

To convert square yards to acres, use the conversion factor:

1 acre = 4,840 square yards
So, the area in acres is:

198,342.77 square yards * (1 acre / 4,840 square yards) ≈ 40.97 acres

Finally, multiply the area in acres by the price per acre to find the cost:
Cost = 40.97 acres * $2000 per acre ≈ $81,940

The cost of the land is approximately $81,940.

Know more about the Heron's formula

https://brainly.com/question/12454834

#SPJ11

The ratio that correctly compares the number of people at the second show to the number of people at the first show is 1:4.

The school band had two shows last week, with 400 people attending the first show and 100 people attending the second show. To compare the number of people at the second show to the number of people at the first show, a ratio can be used. The ratio is expressed as the number of people at the second show divided by the number of people at the first show. In this case, the ratio is 100 divided by 400, which equals 1/4, or 1:4. Therefore, the ratio that correctly compares the number of people at the second show to the number of people at the first show is 1:4.

Learn more about ratio here

https://brainly.com/question/13419413

#SPJ4

Answer:

y  =  \(\frac{5}{2}\) x - 6

Step-by-step explanation:

Given parameters:

        Coordinates  = (2, - 1)

   Slope of the line = \(\frac{5}{2}\)

Solution:

In slope - intercept format, a line is written as:

            y  = mx + c

y and x are the coordinates

m is the slope

c is the y-intercept

        let us find the y - intercept of this line;

        - 1  =  \(\frac{5}{2}\) x 2 + c

           c = -1 - 5  = -6

Equation of the line is ;

           y  =  \(\frac{5}{2}\) x - 6

Answer:

534.07in squared is what I got for the surface area

Step-by-step explanation:

Answer:

first answer

Step-by-step explanation:

(8x³ - 22x² - 4) / (4x - 3)

when you do long division you get the first answer

Answer:

x= the square root of 7 and the negative square root of 7

Step-by-step explanation:

basically

x^2=7

can be converted into

x=7^1/2 (^1/2 is another way to say square root or represent square root)

x= 2.645751311 or -2.645751311

negative is included as a negative value to the power of 2 gives a positive value

hope this helps

37.40 is  large a sample should you take in confidence interval.

What does confidence interval mean?

For the 95% confident interval of population mean , the margin of error (ME)

       ME = Z 1 - 0.05/2 5/√n

           2 = 1.96 * 6.24/√n

          n = ( 1.94 * 6.24/2)²

           n = 37.40

the required sample size (n) is 38 .

Learn more about confidence interval

brainly.com/question/24131141

#SPJ2

Answer:

any line can pass through the point (2,2) so there needs to be a second point

Step-by-step explanation:

\(y=-|x|\)

The \(a\) value of an absolute value parent function deals with vertical stretches or compressions and it's relation with the x-axis.

Changing the \(a\) value to its negative counterpart will reflect the graph over the x-axis (as shown in the picture).

Hope this helps.

頑張って!

When selecting the appropriate number of treatment conditions, it is essential to consider factors such as resources, research complexity, and confounding variables.

Having conditions that are proportional to each other means that the level or intensity of each condition varies in direct proportion to the others, such that if one condition is increased or decreased, the others are also adjusted in a corresponding manner.

When choosing the appropriate number of treatment conditions for an experiment, there are several issues to consider. One of these is the ability to distinguish differences between treatment conditions.

Having conditions that are proportional to each other means that the differences between treatment conditions are consistent across all levels of the independent variable. In other words, if the independent variable increases by a certain amount, the difference between the treatment conditions remains constant. This can be important for ensuring that the treatment effects are interpretable and generalizable to other populations.

To know more about the "independent variable":https://brainly.com/question/82796

#SPJ11

a.) The probability that Ben is ruined is 0.07776, or approximately 7.78%

b.) The probability that Jerry is ruined is 0.064, or approximately 6.4%

a. To find the probability that Ben is ruined, we need to calculate the probability of Jerry winning all the remaining games.
Ben starts with $9 and Jerry starts with $6. In order for Jerry to wipe out Ben, he needs to win at least $9 from Ben.
Let's consider the scenario where Ben loses all his remaining money, one game at a time.
For Ben to lose $9, Jerry needs to win at least 5 games in a row.
The probability of Jerry winning a game is 0.6. So, the probability of Jerry winning 5 games in a row is 0.6^5 = 0.07776.
Therefore, the probability that Ben is ruined is 0.07776, or approximately 7.78%.

b. To find the probability that Jerry is ruined, we need to calculate the probability of Ben winning all the remaining games.
For Jerry to be ruined, Ben needs to win at least $6 from Jerry.
Let's consider the scenario where Jerry loses all his remaining money, one game at a time.
For Jerry to lose $6, Ben needs to win at least 3 games in a row.
The probability of Ben winning a game is 0.4 (since Jerry wins with a probability of 0.6). So, the probability of Ben winning 3 games in a row is 0.4^3 = 0.064.
Therefore, the probability that Jerry is ruined is 0.064, or approximately 6.4%.

Learn more about probability :

https://brainly.com/question/31828911

#SPJ11

Answer:

use desmos.

Step-by-step explanation:

demos. All you have to do is out the equation into Desmos and it will graph it for you. You can look and learn.

Step-by-step explanation:

maybe if u add more brainly coins more ppl will come

The answers to the multiple-choice questions are as follows:

Converse: C. If you are not awake, then you are in class.

Inverse: OB. If you are not in class, then you are awake.

Contrapositive: OC. If you are awake, then you are not in class.

The converse, inverse, and contrapositive of the given statement "If you are in class, then you are not awake" are as follows:

Converse: If you are not awake, then you are in class.

The converse swaps the positions of the hypothesis and conclusion.

Inverse: If you are not in class, then you are awake.

The inverse negates both the hypothesis and the conclusion.

Contrapositive: If you are awake, then you are not in class.

The contrapositive negates both the hypothesis and the conclusion and swaps their positions.

Therefore, the answers to the multiple-choice questions are as follows:

Converse: C. If you are not awake, then you are in class.

The converse statement reflects the swapped positions of being awake and being in class.

Inverse: OB. If you are not in class, then you are awake.

The inverse statement reflects the negation of both being in class and being awake.  

Contrapositive: OC. If you are awake, then you are not in class.

The contrapositive statement reflects the negation of both being in class and being awake, while swapping their positions.

Note: The provided option "You are not in place or you are not awake" does not correspond to any of the converse, inverse, or contrapositive statements.

For similar question on Converse.

https://brainly.com/question/30045217

#SPJ11

Answer:

2

Step-by-step explanation:

y2-y1/x2-x1

11-3/2-(-2)

8/4

2

To solve this problem, we need to find the x-values where the curve intersects the x-axis, which occurs when y=0.
0=x²-2kx ,We can factor out an x: 0=x(x-2k) .So the x-intercepts are at x=0 and x=2k.

To find the value of k, we need to follow these steps:

Step 1: Find the points of intersection between the curve y = x^2 - 2kx and the x-axis.
To do this, set y = 0:
0 = x^2 - 2kx
x(x - 2k) = 0

This means that the curve intersects the x-axis at x = 0 and x = 2k.

Step 2: Determine the limits of integration.
Since we are looking for the region in the fourth quadrant, we will have limits 0 and 2k for our integration.

Step 3: Calculate the area using integration.
Area = ∫[0 to 2k] (x^2 - 2kx) dx

Step 4: Solve the integral.
Area = [1/3x^3 - kx^2] evaluated from 0 to 2k
Area = (1/3(2k)^3 - k(2k)^2) - (1/3(0)^3 - k(0)^2)
Area = (8k^3/3 - 4k^3)

Step 5: Set the area equal to 36 and solve for k.
36 = 8k^3/3 - 4k^3
36 = (8k^3 - 12k^3)/3
36 = -4k^3/3

Now, multiply both sides by 3 and divide by -4:
-108/-4 = k^3
27 = k^3

Take the cube root of both sides:
k = 3

The value of k is 3 (Option b).

To learn more about intercepts : brainly.com/question/14180189

#SPJ11

Using sampling concepts, it is found that stratified sampling is used.

Samples may be classified as:

In this problem, the population is divided into groups according to their ages, then equal proportions of each group are taken, hence stratified sampling is used.

You can learn more about stratified sampling at https://brainly.com/question/25119689

Answer:

phle follow karo yrr tab hee bat u ga,

The probability of having exactly one unqualified fruit when selecting five fruits at random, with a fruit weight following a normal distribution N(170 grams, 36 grams squared), can be calculated using the concept of the binomial distribution. The probability is approximately 0.367 or 36.7%.

To find the probability of having exactly one unqualified fruit, we can use the concept of binomial distribution. Let's define the probability of a fruit being unqualified as p. In this case, p is the probability that a randomly selected fruit weighs less than 160 grams. The mean (μ) of the normal distribution is given as 170 grams, and the variance (σ^2) is given as 36 grams squared. Since the normal distribution is symmetric, we can calculate the probability of a fruit being unqualified as the area to the left of 160 grams in the distribution curve. Using standard deviation (σ) calculated as the square root of the variance, we have σ = √36 = 6 grams. We can then calculate the z-score (standard score) for 160 grams using the formula z = (x - μ) / σ, where x is the weight of the fruit. Substituting the values, we get z = (160 - 170) / 6 = -10 / 6 ≈ -1.67.

Looking up the z-score in a standard normal distribution table, we find the area to the left of -1.67 is approximately 0.0475. This gives us the probability of fruit being unqualified as p = 0.0475. To find the probability of exactly one unqualified fruit out of five, we can use the binomial distribution formula, which states P(X = k) = (n choose k) * p^k * (1 - p)^(n - k), where n is the number of trials, k is the number of successful outcomes, and p is the probability of success. In this case, n = 5 (as we are selecting five fruits), k = 1 (as we want exactly one unqualified fruit), and p = 0.0475. Plugging these values into the formula, we get P(X = 1) = (5 choose 1) * 0.0475^1 * (1 - 0.0475)^(5 - 1) ≈ 0.367.

To learn more about binomial distribution, click here:

brainly.com/question/29137961

#SPJ11

Given that the production function of a firm is f(x1, x2) = x1^(1/3) * x2^(2/3), where price of x1 = 1 and price of x2 = 2. Let's derive the conditional demand for x1 and cost function c(y).

Conditional demand for x1 can be derived as:

∂f(x1, x2)/ ∂x1 = (∂/∂x1) (x1^(1/3) * x2^(2/3))= (1/3) * x1^(-2/3) * x2^(2/3)

Now, put the value of x2 = (y/ x1^(1/3))^3 in the above equation.

∂f(x1, x2)/ ∂x1 = (1/3) * x1^(-2/3) * (y/ x1^(1/3))^2 = (1/3) * y^2 * x1^(-4/3)

Since price of x1 = 1, the cost function can be written as c(y) = w1 * x1 + w2 * x2 = x1 + 2x2 = x1 + 4(y/ x1^(1/3))

The cost function of the firm is

c(y) = x1 + 4y^(1/3) * x1^(-1/3) = x1 + 4y^(1/3)/x1^(1/3)

In order to maximize the profit, we need to differentiate the cost function with respect to x1 and equate it to zero.

(c(y))/d(x1) = 1 - 4/3 * y^(1/3) * x1^(-4/3) = 0

x1 = (3/4) * y^(1/3)

On substituting the value of x1 in the cost function, we get:  

To know more about production visit:

https://brainly.com/question/31859289

#SPJ11

Answer:

-1/7

Step-by-step explanation:

to find slope y2-y1 / x2-x1

6-5/-3-4

1/-7

Answer:

10.15

(Ignore these extra words)

Answer:

Y

Step-by-step explanation:

A residual is the difference between "the measured and predicted values of the quantity of interest".

In regression analysis, a residual would be the difference between an observable and anticipated value.

The formula is;

Residual = Observed value – Predicted value

Some key features regarding the residuals are-

To know more about the residual, here

https://brainly.com/question/1447173

#SPJ4