Morris currently makes $325 per week and takes 2 exemptions. How much more will his weekly withholding be if he takes no exemptions?.

The probability that your survey will provide a sample proportion within 0.05 of the population proportion = 0.8818

Here,  people end up tossing 10% of what they buy at the grocery store

So, the probability of occurance P = 0.1

q = 1 - p

q = 1 - 0.1

q = 0.9

Also, the sample size (n) = 90

Now the standard error of the distribution of sample means would be,

s = \(\sqrt{\frac{p\times q}{n} }\)

s = 0.032

We need to calculate the probability that your survey will provide a sample proportion within 0.05 of the population proportion.

z₁ = (-0.05)/(0.032)

z₁ = -1.5625

z₂ = (+0.05)/(0.032)

z₂ = +1.5625

p(z-score between -1.5625 and +1.5625) = 0.8818

Therefore the required probability is 0.8818

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Therefore,  the probability that  basketball  will weigh between 20.5 and 23.5 is 0.866

Probability is the concept that describes the likelihood of an event occurring. In real life, we frequently have to make predictions about how things will turn out. We may be aware of the result of an occurrence or not. When this is the case, we refer to the likelihood that the event will occur or not.

Here,

X υ N (22,1)

Probability that  basketball  will weigh between 20.5 and 23.5

is:

=> P(20.5 < x < 23.5)= P[ 20.5-22/1 < z < 23.5-22/ 1   ]

=>   P(20.5 < x < 23.5) = P(-1.5 < z < 1.5)

=>  P(20.5 < x < 23.5) = 0.866

Therefore,  the probability that  basketball  will weigh between 20.5 and 23.5 is 0.866

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Answer:

84.8

Step-by-step explanation:

\(\textsf{Area of a sector of a circle}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2\)

\(\textsf{(where r is the radius and the angle }\theta \textsf{ is measured in degrees)}\)

Given:

Substitute the given values into the formula:

\(\begin{aligned}\implies \textsf{Area} & =\left(\dfrac{120^{\circ}}{360^{\circ}}\right) \cdot 3.14 \cdot 9^2\\\\& = \dfrac{1}{3} \cdot 3.14 \cdot 81\\\\& = 84.78\\\\ & = 84.8\: \sf (nearest\:tenth)\end{aligned}\)

Answer:

A ≈ 84.8 units²

Step-by-step explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × \(\frac{120}{360}\)

   = π × 9² × \(\frac{1}{3}\)

  = 81π × \(\frac{1}{3}\)

  = 27π

 = 27 × 3.14

 ≈  84.8 units² ( to the nearest tenth )

The surface area of the triangular prism is  936 cm².

In geometry, a triangular prism is a three-sided prism.

Therefore, the surface area of the triangular prism can be calculated as follows:

surface area of triangular prism = bh + L(x + y + z)

where

Therefore,

surface area of triangular prism = 24 × 18 + 7(18 + 30 + 24)

surface area of triangular prism = 432 + 7(72)

surface area of triangular prism = 432 + 504

surface area of triangular prism = 936 cm²

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Content area the calculation for annual depreciation using the units-of-output method is yearly output.

What are the output method's units?

What is the annual depreciation formula?

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Answer: Divide the amount that she wants to bake by the dimensions

Step-by-step explanation:

Area of 1 cone =4 times 4= 16cm squared

85/16=5.3125=5 rounded to a whole number

The solutions to the equation \(2/x - 1 = 16/(x^2 + 3x - 4) are x = 2 and x = (-1 ± √17) / 2.\)

To solve the equation \(2/x - 1 = 16/(x^2 + 3x - 4),\) we'll simplify and rearrange the equation to isolate the variable x. Here's the step-by-step solution:

1. Start with the given equation: 2/x - 1 = 16/(x^2 + 3x - 4)

2. Multiply both sides of the equation by x(x^2 + 3x - 4) to eliminate the denominators:

\(2(x^2 + 3x - 4) - x(x^2 + 3x - 4) = 16x\)

3. Simplify the equation:

\(2x^2 + 6x - 8 - x^3 - 3x^2 + 4x - 16x = 16x\)

4. Combine like terms:

  -x^3 - x^2 + 14x - 8 = 16x

5. Move all terms to one side of the equation:

\(-x^3 - x^2 - 2x - 8 = 0\)

6. Rearrange the equation in descending order:

  -x^3 - x^2 - 2x + 8 = 0

7. Try to find a factor of the equation. By trial and error, we find that x = 2 is a root of the equation.

8. Divide the equation by (x - 2):

\(-(x - 2)(x^2 + x - 4) = 0\)

9. Apply the zero product property:

  x - 2 = 0 or x^2 + x - 4 = 0

10. Solve each equation separately:

   x = 2

11. Solve the quadratic equation:

   For x^2 + x - 4 = 0, you can use the quadratic formula or factoring to solve it. The quadratic formula gives:

 \(x = (-1 ± √(1^2 - 4(1)(-4))) / (2(1)) x = (-1 ± √(1 + 16)) / 2 x = (-1 ± √17) / 2\)

Therefore, the solutions to the equation\(2/x - 1 = 16/(x^2 + 3x - 4) are x = 2 and x = (-1 ± √17) / 2.\)

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Answer:

It would be D

Step-by-step explanation:

The angle m∠2 in the line is 54 degrees.

complementary angles are angles that sum up to 90 degrees. The angles m∠1 and m∠2 sum up to 90 degrees. Therefore, they are complementary angles.

Let's find the angle m∠2 as follows:

m∠1 + m∠2 = 90

m∠1 = 36 degrees

Therefore,

36 + m∠2 = 90

m∠2 = 90 - 36

m∠2 = 54 degrees

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The tendency to perceive meaningful patterns in random sequences of outcomes often leads us to underestimate the extent to which outcomes result from CHANCE .

The word "chance" describes unpredictability or the unexpected in relation to things like events that happen without a clear reason why and without human intention.

The conclusion is that chance is the tendency of people to recognize different kinds of significant patterns in a random order or sequence in addition to evaluating any kind of outcome. Because chance can also result in an underestimating of a system's conclusion or result, it is crucial to consider it when conducting an investigation.

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Answer:

x = 4 is the solution

Step-by-step explanation:

Solving the inequalities

x + 5 > 8 ( subtract 5 from both sides )

x > 3

-------------

2x - 3 < 7 ( add 3 to both sides )

2x < 10 ( divide both sides by 2 )

x < 5

The only integer value of x > 3 and < 5 is 4

Question:

Leah took her friends for a ride in her hot air balloon.

The function r(t) = 210 - 15t models the height of the hot air balloon about the ground (in meters) as a function of time (in minutes) after takeoff.

Explain what r(10) means in the context of the real-world scenario, and how to find its value.

Answer:

The balloon reaches a height of 160 meters, 10 minutes after take off.

Step-by-step explanation:

Given

\(r(t) = 210 - 5t\)

Required

Explain r(10)

First, we calculate r(10)

Substitute 10 for t in \(r(t) = 210 - 5t\)

\(r(10) = 210 - 5 * 10\)

\(r(10) = 210 - 50\)

\(r(10) = 160\)

Hence: r(10) means that the balloon reaches a height of 160 meters, 10 minutes after take off.

Answer:

(60,0)

Step-by-step explanation:

Have a good day :)

Answer:

s = 31t

Step-by-step explanation:

s = 31(1) =31 students

s = 31(3) = 93 students

For every teacher, there are 31 students

This is Right answer....

I hope you understand....

give me Brainliest.....

Thanks....

Answer:

y = -3x + 7

Step-by-step explanation:

I see points (0, 7) and (1, 4).

slope = m = (4 - 7)/(1 - 0) = -3

y-intercept = 7

y = mx + b

y = -3x + 7

Answer:

x > 2

Step-by-step explanation:

I hope this helps

The net worth is about $106.

This can be calculated by the addition of liabilities and assets amount

Assets        -               Amount

Checking amount -  $14,532

Retirement savings- $43,675

Car                          - $12,225

Therefore total assets equal to: $70,432

Now, for liabilities

Liabilities            -       Amount

Student loan             $1,225

Credit card debt       $3,876

Home loan balance  $65,225

Therefore total liabilities equals to: $70,326

The net worth can be find out by subtracting the total liabilities from the total assets:

Hence Net worth = Total assets- Total liabilities

                             = $70,432- $70,326

                             = $106

Therefore the total net worth is about $106.

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Points $a$, $b$, $c$, and $d$ are the midpoints of the sides of the larger square. If the larger square has an area of 60, the smaller square's area is 15 square units.

A square's midpoints connect, making it possible to divide the square into four equal squares. Each of these four squares has a side length of half that of the larger square.

Consider the fact that the area of the larger square is 60, with sides of $s$ units. \($s^2=60$\\\). Now, the smaller square is created by connecting the midpoints of the larger square. Each side of the smaller square has a length of \($s/2$\) units.

Since the area of a square is \($s^2$\), the area of the smaller square is \($\left(\frac{s}{2}\right)^2$\). Simplifying gives \($\left(\frac{s}{2}\right)^2=\frac{s^2}{4}$\). So, the area of the smaller square is \($\frac{1}{4}$\) of the larger square's area.

We know that the area of the larger square is 60. Therefore, the area of the smaller square is \($\frac{1}{4}$\) (60) = 15 square units.

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Convert it to a decimal and multiply is the best way to describe rate in simple interest formula.

The real yearly cost of funds over the course of a loan is the annual rate that is charged for borrowing (or made by investing), expressed as a single percentage number. An interest rate indicates how expensive borrowing is or how lucrative saving is. Therefore, if you are a borrower, the interest rate is the sum you pay for borrowing money and is expressed as a percentage of the overall loan amount.

Given

The r in the simple interest formula stands for rate.

Convert it to a decimal and multiply is the best way to describe rate in formula.

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The 3% of the time, their mean weight will be greater than 464 grams. The population of weights of a particular fruit is normally distributed with a mean of 458 grams and a standard deviation of 16 grams.

If 26 fruits are chosen randomly, then what will be the mean weight for which 3% of the time their mean weight will be greater?The formula for calculating the standard error is shown below:\[\frac{\sigma }{\sqrt{n}}=\frac{16}{\sqrt{26}}=3.12\]Then, the z-score for the 3rd percentile can be determined using the standard normal distribution table. We know that the area to the right of this z-score is 0.03. Since the normal curve is symmetric, the area to the left of the z-score is (1 - 0.03) = 0.97.

We can use a calculator or a standard normal distribution table to locate the z-score that corresponds to an area of 0.97. The z-score can be determined to be 1.880.Using the formula shown below, we can calculate the mean weight for which 3% of the time their mean weight will be greater.\[X=\mu +z\left( \frac{\sigma }{\sqrt{n}} \right)=458+1.880\times 3.12\]

Using the formula, we get:$X=463.62$ Round your answer to the nearest gram, so the mean weight is approximately 464 grams.

Therefore, 3% of the time, their mean weight will be greater than 464 grams.

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If the heights of all women are converted to z-scores, the mean of the z-scores is 0 and the standard deviation of the z-scores is 1. The distribution of these z-scores will be a standard normal distribution.

A normal distribution is a type of continuous probability distribution that is symmetric and bell-shaped. The curve's shape is determined by its mean and standard deviation.

The curve's highest point is at the mean, which is also the midpoint.

The curve is spread out to either side of the mean by the standard deviation.

In a standard normal distribution, the mean is 0 and the standard deviation is 1.

Z-scores are the number of standard deviations away from the mean.

If all of the heights of women are transformed to z-scores, the resulting distribution will be a standard normal distribution with a mean of 0 and a standard deviation of 1.

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Answer:

A

Step-by-step explanation:

i to an odd power is 1 and i to an even power is -1 so you can see it is A

There are 55.77 feet in the 17 meters. Because 1 meter consists of 55.77 feet. The process of converting from one quantitative unit to another is known as unit conversion.

It is described as the process of converting one quantitative unit to another, followed by the division by a conversion factor and the multiplication by the conversion factor.

As we know,

1 meter consists of 55.77 feet

1 meter = 3,28084 feet

The number of feet in 17 meters is found as,

17 meter = 17 × 3,28084 feet

17 meter = 55.77 feet

Hence there are 55.77 feet in the 17 meters.

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Answer:

45

Step-by-step explanation:

Plug in the values into the equation

4(12) - 3

48 - 3 = 45

Answer:

45

Step-by-step explanation:

4(12) - 3

48 - 3

45

The given statement that allocation is a mathematical procedure that cannot be manipulated by the parties involved in making the allocation is true.

The term allocation refers to the process of dividing something among various parties. The term is often used in finance and economics to refer to the distribution of goods or resources among various groups or individuals.

Mathematical allocation refers to the distribution of a finite amount of resources among several competing individuals, groups, or companies. This is typically done with the help of mathematical techniques that are based on algorithms and statistical models.

An example of mathematical allocation can be seen in the allocation of financial resources in a company.In mathematical allocation, the parties involved in making the allocation cannot manipulate the process. This means that the allocation is done in a fair and impartial manner, without any interference from the parties involved. This helps to ensure that the allocation is done in an objective and unbiased way, which is important for maintaining the integrity of the allocation process.

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Answer:

If Anne’s age is represented by the variable a then express Jenny’s age in terms of a if Jenny is three years less than half of Anne’s age

Answer: (x-2)(x+3)^2(x^2-16)

Step-by-step explanation:

(x+3)^2(x-2)

(x+3)(x^2-16)

(x+3)(x^2-16)=(x+3)(x+4)(x-4)

(x+3)^2(x-2)=(x+3)(x+3)(x-2)

LCM: (x+3)^2(x-2)(x^2-16)