Write the numbers 1 to 4 in the boxes below the animals
to order them from smallest to largest.
6m
5 mm
150 cm
10 cm

Bailee's annual income was deducted for FICA is approximately C. $2,164.95.

FICA, or the Federal Insurance Contributions Act, is a payroll tax that is used to fund Social Security and Medicare. The current FICA tax rate for Social Security is 6.2% and the current rate for Medicare is 1.45%.

To find out how much of Bailee's annual income was deducted for FICA, we can multiply her gross income during each pay period by the FICA tax rate and the number of pay periods in a year.

Since Bailee gets paid monthly, there are 12 pay periods in a year.

FICA = (Gross income * (6.2% + 1.45%)) *12

FICA = (2358.33 * (6.2/100 + 1.45/100)) * 12

FICA = (2358.33 * 0.0765) * 12

FICA = 179.95 * 12

FICA = $2159.4

So, $2159.4 of Bailee's annual income was deducted for FICA.

This closest answer to this is: C. $2,164.95

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The required simplified expression as the simplest form of the given expression is  -(3/2)x - 1/3.

A fraction is a mathematical concept that can be used to express a portion of a whole or a number that can be written as the ratio of two integers.

Here,

To subtract fractions, we need to find a common denominator. In this case, the least common multiple of 6 and 12 is 12.

So, we can rewrite the expression as,

(-5/6x - 7/12) - (-1/3x - 1/4)

= (-10/12x - 7/12) + (4/12x + 3/12) [Distributing the negative sign and simplifying the fractions]

= (-10x - 7 + 4x + 3)/12 [Combining like terms]

= (-6x - 4)/12

= -(3/2)x - 1/3 [Dividing both numerator and denominator by 2 to simplify the fraction]

Therefore, the simplified expression is -(3/2)x - 1/3.

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The given rational and irrational numbers can be ordered from least to greatest as follows; -2 3/5 < 10/3 < 3 7/8 < 3.9 < √20.

It follows from the task content that the numbers given are rational and irrational numbers.

To order the numbers, they should be converted to decimal numbers as follows;

-2 3/5 = -2.6

√20 = 4.47

3.9 = 3.9

10/3 = 3.33

3 7/8 = 3.875

Hence, the order from least to greatest is; -2 3/5 < 10/3 < 3 7/8 < 3.9 < √20.

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The number you should pick is 7

To determine the best number to pick, we need to analyze the probabilities of rolling each possible sum.

The 6-sided dice can produce numbers from 1 to 6, and the 10-sided dice can produce numbers from 1 to 10. The maximum possible sum is 6 + 10 = 16.

We can calculate the probabilities of each sum by considering all the possible combinations of numbers on the dice.

Here is a table showing the sums and their corresponding probabilities:

Sum  Probability

2      1/60

3     2/60

4          3/60

5     4/60

6     5/60

7     6/60

8     5/60

9     4/60

10     3/60

11     2/60

12      1/60

13-16 0

To determine the best number to pick, we need to consider the probabilities of winning for each sum. The higher the probability, the better chance of winning.

By examining the probabilities, we can see that the sums with the highest probabilities are 7  with a probability of 6/60 or 1/10.

Therefore, if you want to maximize your chances of winning, you should pick 7 as your guess.

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Answer:

B

Step-by-step explanation:

Answer:

47 inches

Step-by-step explanation:

12 + 10 + 16 + 9 = 47

hope this helps you :)

perimeter means all the sides added up together.

The cost of the apples is 2.9 dollars.

The cost of the bananas is 5.7 dollars.

The total cost is 6 dollars, each apple cost $1.50 each banana cost $.30 and there’s two more bananas then apples.

Therefore,

let

x = number of apples

y = 2x

where

Therefore, using equations,

1.5(x) + y(0.30) = 6

Hence,

where

y = 2x

1.5(x) + 2x(0.30) = 6

1.5x + 0.6x = 6

2.1x = 6

divide both sides by 2.1

x = 6 / 2.1

x = 2.9 dollars

y = 2(2.9) = 5.7 dollars

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The linear trend equation to predict monthly receipts is given by: $$Y_{t}=3,700+300t$$ where Y is the predicted monthly receipt and t is the time period in months where t=0 is July this year.

To forecast the receipt for October, we need to find the value of Y when t=3 (since t=0 corresponds to July, August would be t=1, September would be t=2, and October would be t=3).Therefore, we can substitute t=3 in the equation above to get: $$Y_{3}=3,700+300(3)$$$$Y_{3}=3,700+900$$$$Y_{3}=4,600$$

Therefore, the forecast for October of this year is $4,600. The linear trend equation to predict monthly receipts is given by: $$Y_{t}=3,700+300t$$ where Y is the predicted monthly receipt and t is the time period in months where t=0 is July this year. The answer to the given question is: The forecast for October of this year is $4,600.

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A firm experiences increasing returns to scale if inputs are doubled and output more than doubles.

When the firm's output grows at a faster rate than the growth in inputs, increasing returns to scale result. In this case, the company experiences economies of scale, which makes it more effective as it grows its production.

The firm is able to boost productivity and efficiency as it expands its scale of operations if inputs are doubled and output more than doubles.

This can be ascribed to a number of things, including specialisation, labour division, the use of capital-intensive technology, discounts for bulk purchases, and spreading fixed costs over a higher output. Lower average costs per unit of output result in higher profitability and competitiveness for the company.

The firm gains a number of benefits from growing returns to scale. First off, it lets the company to benefit from cost savings brought about by economies of scale, allowing it to manufacture goods or services for less money per unit. This may enable more competitive pricing on the market or result in larger profit margins.

Second, raising returns to scale can result in better operational effectiveness and resource utilisation. As the company grows in size, it will be able to use resources more wisely and profit from production volume-related synergies.market prices that are competitive.

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Answer:JS is median

KT is median

Lr is median

P is centroid

Step-by-step explanation:

Find the length

Answer:

15n=5

Step-by-step explanation:

15n=5

Answer:

it's 952 :)

Step-by-step explanation:

I hope this was helpful!

God loves u ! Byeee

Question:

There are 30 candies in a box, all identically shaped. 5 are filled with coconut, 10 with caramel, and 15 are solid chocolate.

You randomly select a piece of candy and eat it (so it is NOT replaced!), then select a second piece. Find the probability of each event

(a) The probability of selecting two solid chocolates in a row.

(b) The probability of selecting a caramel and then a coconut candy.

Answer:

\((a)\) \(P(Chocolates) = \frac{7}{29}\)

\((b)\) \(P(Caramel\ and\ Coconut) = \frac{5}{87}\)

Step-by-step explanation:

Given

\(Coconut = 5\)

\(Caramel = 10\)

\(Chocolate = 15\)

\(Total = 30\)

For probabilities without replacement, 1 is subtracted after the first selection.

So, we have:

Solving (a): Two solid chocolates

This is calculated as:

\(P(Chocolates) = P(First\ Chocolate) * P(Second\ Chocolate)\)

\(P(Chocolates) = \frac{n(Chocolate)}{Total} * \frac{n(Chocolate) - 1}{Total - 1}\)

\(P(Chocolates) = \frac{15}{30} * \frac{15 - 1}{30 - 1}\)

\(P(Chocolates) = \frac{15}{30} * \frac{14}{29}\)

\(P(Chocolates) = \frac{1}{2} * \frac{14}{29}\)

\(P(Chocolates) = \frac{7}{29}\)

Solving (a): Caramel and Coconut

This is calculated as:

\(P(Caramel\ and\ Coconut) = P(Caramel) * P(Coconut)\)

\(P(Caramel\ and\ Coconut) = \frac{n(Caramel)}{Total} * \frac{n(Coconut)}{Total - 1}\)

\(P(Caramel\ and\ Coconut) = \frac{10}{30} * \frac{5}{30- 1}\)

\(P(Caramel\ and\ Coconut) = \frac{10}{30} * \frac{5}{29}\)

\(P(Caramel\ and\ Coconut) = \frac{1}{3} * \frac{5}{29}\)

\(P(Caramel\ and\ Coconut) = \frac{5}{87}\)

Andrea arrived 5 minutes past 11:00 am, or at 11:05 am. Adding the 8 minutes indicated on her card, we get 11:13 am as the time Andrea arrived.

Let x be the number of minutes past 11:00 am that Andrea arrived. Then, Zach arrived (x + 15) minutes past 11:00 am. Two minutes ago (i.e., at 11:28 am), Andrea had been waiting for (28 - x) minutes, and Zach had been waiting for (13 + x) minutes. Three minutes from now (i.e., at 11:33 am), Andrea will have been waiting for (33 - x) minutes, and Zach will have been waiting for (18 + x) minutes. Since Andrea and Zach have waited for the same amount of time, we can set up the equation:

Solving for x, we get:

2x = 10

x = 5

Therefore, Andrea arrived 5 minutes past 11:00 am, or at 11:05 am. Adding the 8 minutes indicated on her card, we get 11:13 am as the time Andrea arrived.

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Answer:

I think it helps you

Step-by-step explanation:

mark Brainliest please

Answer:

\( \frac{7}{8} = 0.875\)

Step-by-step explanation:

\( \frac{3}{4} \div \frac{6}{7} \)

\( \frac{3}{4} \times \frac{7}{6} = \frac{1}{4} \times \frac{7}{2} \)

\( \frac{1 \times 7}{4 \times 2} = \frac{7}{4 \times 2} \)

\(\boxed{\green{ = \frac{7}{8} = 0.875}}\)

The correct answer is S = {A, D, D, I, T, I, O, N}.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event. The probability of an event is calculated by dividing the number of ways the event can occur by the total number of possible outcomes.

The sample space is the set of all possible outcomes of an experiment or event.

In this case, the experiment is choosing one card from a set of eight labeled cards.

The sample space for this experiment is the set of all possible cards that can be chosen.

In the given problem, there are eight cards labeled A, D, D, I, T, I, O, N.

The sample space is the set of all possible cards that can be chosen, which is {A, D, D, I, T, I, O, N}.

This is because each card is distinct and can be chosen independently of the others.

Therefore, the correct answer is S = {A, D, D, I, T, I, O, N}.

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Answer: A( A,D, D,I, I,N,O,T)

Step-by-step explanation:

Order does not matter!!

The sample size needed to estimate the true proportion of home owners who have vegetable gardens to within 4 percentage points with 98% confidence is 1,529.

To calculate the sample size, we can use the formula:

n = (z² * p * q) / E²

Where:

- n is the sample size

- z is the z-score for the desired level of confidence (98% confidence corresponds to a z-score of 2.33)

- p is the expected proportion of home owners who have vegetable gardens (0.46 based on the report)

- q is 1-p (0.54)

- E is the margin of error (0.04)

Substituting the values:

n = (2.33² x 0.46 x 0.54) / 0.04²

n = 1529.03

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Answer:

Both lines have a slope of 1. Parallel

Step-by-step explanation:

Both lines have a slope of 1/1 or 1 which means that the lines are parallel since they have the same slope.

A regular pencil from the first package and a colored pencil from the second box can be chosen with a 3/32 chance.

By reducing the number of positive outcomes even by total number of potential outcomes, probability—the chance that even an event will take place—can be determined. Only two results when users flip a coin: either it shows up heads or tails.

Since there are 9 plain pencils in the first package out of a total of 12 products, the chance of choosing one is 9/12.

Since there is only one color pencil in the second package out of a total of eight items, the chance of choosing one is 1/8.

We combine the two odds to determine the likelihood of both outcomes (choosing a plain pencil from the first box and a colored pencil from the second box) occurring:

(9/12) x (1/8) = 3/32

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The solution to the system of given linear equations using matrix inversion is (x, y, z) = (3, -3, -6).

The system of linear equations that needs to be solved is:

\($$\begin{aligned}-x+2y-z&=0\\-x-y+2z&=0\\2x-z&=3\end{aligned}\)
$$

To solve this system using matrix inversion, we first write the system in matrix form as AX = B, where

\($$A=\begin{bmatrix}-1 &2 &-1\\-1 &-1 &2\\2 &0 &-1\end{bmatrix}, X=\begin{bmatrix}x\\y\\z\end{bmatrix}, \text{and } B=\begin{bmatrix}0\\0\\3\end{bmatrix}$$\)

We then find the inverse of A as \(A^-^1\), such that \(A^-^1A\) = I, where I is the identity matrix. Then we have:

\($$A^{-1}=\begin{bmatrix}1 &2 &3\\-1 &-1 &-2\\-2 &-2 &-3\end{bmatrix}$$\)

Finally, we can solve for X using X = \(A^-^1B\) as follows:

\($$X=\begin{bmatrix}1 &2 &3\\-1 &-1 &-2\\-2 &-2 &-3\end{bmatrix}\begin{bmatrix}0\\0\\3\end{bmatrix}=\begin{bmatrix}3\\-3\\-6\end{bmatrix}$$\)

Therefore, the solution to the system of linear equations is (x, y, z) = (3, -3, -6).

From the above discussion, we found that the solution to the system of linear equations using matrix inversion is (x, y, z) = (3, -3, -6).

Matrix inversion is a method of solving a system of linear equations using matrix operations. It involves finding the inverse of the coefficient matrix A, which is a matrix such that when multiplied by A, the identity matrix is obtained. Once the inverse is found, the system can be solved using matrix multiplication as X = A^-1B.In the above example, we used matrix inversion to solve the system of linear equations. We first wrote the system in matrix form as AX = B, where A is the coefficient matrix, X is the vector of unknowns, and B is the vector of constants. We then found the inverse of A, A^-1, using matrix operations. Finally, we used X = A^-1B to solve for X, which gave us the solution to the system of linear equations.

From the above discussion, it is clear that matrix inversion is a useful method for solving systems of linear equations. It is particularly useful when the coefficient matrix is invertible, meaning that its determinant is nonzero. In such cases, the inverse can be found, and the system can be solved using matrix multiplication.

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A) The probability that ten employees must be tested in order to find three positives is 0.0645

B) Expected vale is 150 and variance is 4500

Given,

40% of employees have positive indications of asbestos in their lungs .

A)

The probability of getting an employee with positive indication is 0.40.

The probability that ten employees must be tested to find three positives is:

=    \((x-1\\k-1) * p^{k} q^{x-k}\)

=  \((10-1\\3-1) 0.4^{3} * (0.6)^{10-3}\)

= 0.0645

B)

The expected value of the total cost of conducting the tests is:

E(20 * X)  = 20 *E(X)

= 20* k/p

= 20 * 3/0.4

= 150

The variance of the total cost of conducting the tests is:

V(20*X) = 20² × V(X)

= 400 kq/p²

= 400 × 3 ×0.6/0.4²

= 4500

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Answer:

Option 3

Step-by-step explanation:

Given inequality is,

\(3m\geq 21\)

To find the solutions of the given inequality solve this inequality first.

\(\frac{3m}{3}\geq \frac{21}{3}\)

\(m\geq 7\)

This inequality will be represented by an arrow starting from 7 and directing towards infinity.

Since, inequality is having a sign notation of greater than equal to, arrow will start with a dark circle located at 7.

Therefore, Option 3 (from the top) will be the answer.  

The measure of arc BC is 720 times the measure of angle BAC.

Given that AC is the diameter of the circle and AB is a chord with a length of 16 units, we need to find BC (the length of the other chord) and mBC (the measure of angle BAC).

To find BC, we can use the property of chords in a circle. If two chords intersect within a circle, the products of their segments are equal. In this case, since AB = BC = 16 units, the product of their segments will be:

AB * BC = AC * CE

16 * BC = 2 * r * CE (AC is the diameter, so its length is twice the radius)

Since the area of the circle is given as 289 square units, we can find the radius (r) using the formula for the area of a circle:

Area = π * r^2

289 = π * r^2

r^2 = 289 / π

r = √(289 / π)

Now, we can substitute the known values into the equation for the product of the segments:

16 * BC = 2 * √(289 / π) * CEBC = (√(289 / π) * CE) / 8

To find mBC, we can use the properties of angles in a circle. The angle subtended by an arc at the center of a circle is double the angle subtended by the same arc at any point on the circumference. Since AC is a diameter, angle BAC is a right angle. Therefore, mBC will be half the measure of the arc BC.

mBC = 0.5 * m(arc BC)

To find the measure of the arc BC, we need to find its length. The length of an arc is determined by the ratio of the arc angle to the total angle of the circle (360 degrees). Since mBC is half the arc angle, we can write:

arc BC = (mBC / 0.5) * 360

arc BC = 720 * mBC

Therefore, the length of the arc BC equals 720 times the length of the angle BAC.

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The required limit is 8/3.

To find the limit: lim(x→π/2) (sec(x) − tan(x)).

First, we check whether it is in an indeterminate form. Evaluating the limit directly, we have:

lim(x→π/2) (sec(x) − tan(x)) = sec(π/2) - tan(π/2) = 1/cos(π/2) - sin(π/2).

The denominator of the above expression approaches zero, indicating an indeterminate form of 0/0. Therefore, we can use L'Hôpital's Rule.

We differentiate the numerator and denominator separately and apply the limit again. Differentiating, we get:

lim(x→π/2) [d/dx(sec(x)) - d/dx(tan(x))] / [d/dx(x)] ... [Using L'Hôpital's Rule]

= lim(x→π/2) [sec(x)tan(x) + sec²(x)] / [1].

Putting the limit value, we have:

= sec²(π/2) + sec(π/2)tan(π/2).

We know that sec(π/2) = 1/cos(π/2) and tan(π/2) = sin(π/2)/cos(π/2).

Therefore, sec²(π/2) + sec(π/2)tan(π/2) = [1/cos²(π/2)] + [sin(π/2)/cos²(π/2)]

= [1 + sin(π/2)] / [cos²(π/2)].

Putting the value of π/2, we get:

[1 + sin(π/2)] / [cos²(π/2)] = [1 + 1/2] / [3/4]

= [3/2] * [4/3]

= 8/3.

Therefore, the required limit is 8/3.

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The solutions of the given equation are x=4 and x=-4. Therefore, options B and E are the correct answers.

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

The given quadratic equation is x²-16=0.

Here, x²=16

x=±√16

x=±4

So, the solutions are x=4 and x=-4.

Therefore, options B and E are the correct answers.

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If Lily chooses account A, the balance of her account would increase by a rate of 2.4%  on a quarterly basis

The equation of the function is given as:

\(A(t) = 3000(1.024)^{4t\)

An exponential function is represented as:

\(y = a(1 + r)^x\)

Where:

So. by comparison:

\(1 + r=1.024\)

Subtract 1 from both sides

\(r=.024\)

Express as percentage

\(r=2.4\%\)

From the function, the exponent of the rate is 4t.

This means that, the balance increases four times in a year.

So, her balance would increase quarterly

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Answer:

D. 28

Step-by-step explanation:

\(4 = \frac{k}{7} \\\\28 = k\)

Answer:

D

Step-by-step explanation:

D because 28 divided by 4 is 7 which means k=28

Answer:

-15

Step-by-step explanation:

if its just asking for what number would represent a loss of 15 it would be negative 15

i dont know if there's more to the problem or not

Answer:

-15

Step-by-step explanation:

This is because whatever much water was in the tank is now decreasing by 15, therefore, you can write it as -15,

hope this helps!

Answer: it’s B

Step-by-step explanation: Look at the graph clearly

and you will see the value of x and y