which expression is not a polynomial?

The statement If a simple random sample is chosen with replacement, each individual has the same chance of selection on every draw is True.

If a simple random sample is chosen with replacement, it means that after each selection, the chosen individual is placed back into the population before the next selection is made. In this case, each individual in the population has the same chance of being selected for every draw.

The process of replacing the selected individual ensures that the selection probabilities remain constant throughout the sampling process. As a result, each individual has an equal probability of being chosen on each draw, making the statement true.

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Putting all the given values in the formula, we get:n = [1.96² x 0.21 x 0.79] / 0.03²On solving, we get,n = 2734.84 ≈ 2735Therefore, 2735 public accountants should be contacted to update the study with a margin of error of 3% and a 95% level of confidence. Answer: 2735.

Given Information :A study conducted several years ago reported that 21% of public accountants changed companies within 3 years.

The American Institute of CPAs would like to update the study.

They would like to estimate the population proportion of public accountants who changed companies within 3 years with a margin of error of 3% and a 95% level of confidence.

Required:a. To update this study, how many public accountants should be contacted? Solution: Given that: the percentage of public accountants changed companies within 3 years is 21%.The level of confidence is 95%.

The margin of error is 3%.We have to find out the sample size.To find the sample size we use the formula :n = [Z² x p x q ] / E²

Where, Z = Standard normal deviation corresponding to a 95% confidence level is 1.96.p = proportion = 21/100 = 0.21q = 1-p = 1-0.21 = 0.79E = margin of error = 3/100 = 0.03

Putting all the given values in the formula, we get:n = [1.96² x 0.21 x 0.79] / 0.03²On solving, we get,n = 2734.84 ≈ 2735Therefore, 2735 public accountants should be contacted to update the study with a margin of error of 3% and a 95% level of confidence. Answer: 2735.

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Answer:

4/1 is the answer

Step-by-step explanation:

according to rules 1st divide then multiple

last addition and subtraction

Answer:

4

Step-by-step explanation:

because 4x4 is 16

5x4 is 20

6x4 is 24

and so on

Answer:

f(x) = ax

Step-by-step explanation:

Therefore, the discount factor for one period with a rate of return of 6 percent is approximately 0.9434.

To calculate the discount factor for one period with a rate of return equal to 6 percent, you can use the formula:

Discount Factor = 1 / (1 + Rate of Return)

Substituting the rate of return of 6 percent (0.06) into the formula:

Discount Factor = 1 / (1 + 0.06) = 1 / 1.06 ≈ 0.9434

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Therefore, the compound interest of the annuity due of BD 400 paid each 4 months for 6.2 years at a nominal rate of 3% per annum is BD 40,652.17.

Compound interest of an annuity due can be calculated using the formula:A = R * [(1 + i)ⁿ - 1] / i * (1 + i)

whereA = future value of the annuity dueR = regular paymenti = interest raten = number of payments First, we need to calculate the effective rate of interest per period since the nominal rate is given per annum. The effective rate of interest per period is calculated as

:(1 + i/n)^n - 1 = 3/1003/100 = (1 + i/4)^4 - 1

(1 + i/4)^4 = 1.0075i/4 = (1.0075)^(1/4) - 1i = 0.0303So,

the effective rate of interest per 4 months is 3.03%.Next, we can substitute the given values in the formula:

A = BD 400 * [(1 + 0.0303)^(6.2 * 3) - 1] / 0.0303 * (1 + 0.0303)A = BD 400 * [4.227 - 1] / 0.0303 * 1.0303A = BD 400 * 101.63A = BD 40,652.17

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Answer:

1 cm = 100 m

Explanation:

The conversion factor to go from cm to m is

1 cm = 0.01 m or

1 m = 100 cm

Additionally, the conversion factor from km to m and from dm to m is:

1 km = 1000 m

1 dm = 0.01 m or 1 m = 10 dm

Therefore, the incorrect conversion factor is:

1 cm = 100 m

Because 1 cm is smaller than 1 m

Answer:

c=3.6 or 18/5

Step-by-step explanation:

3/5c=-15

×5c

=3=-15×5c

+15

=18=5c

÷5

c=3.6 or 18/5

Answer:

C = - 25

Step-by-step explanation:

3/5c = -15

3c/5 = -15

5. 3c/5 = 5 ( - 15)

3c = 5 (-15)

3c= - 75

3c/3 = - 75 /3

C = - 25

Answer:

Option B is answer.

Step-by-step explanation:

Hey there!

Given;

f(X) = X(X+5)(x-8)

According to the factor theorem, f(X) = 0;

Or, X(X+5)(x-8) = 0

Either;

x = 0

Or;

(x+5)= 0

X = -5

Or;

(x-8)= 0

x = 8.

Therefore, the zeros of the polynomial are: 0,-5,8.

Hope it helps!

The option that describes the translation rule is the first one, since you add two units to the right(x + 2) and 4 units down (y - 4).

The simplified expression for -3(2x - y)²y²(xy) is -12x²y³ + 6xy⁴.

When simplifying expressions, it is important to remember the order of operations, which is parentheses, exponents, multiplication/division (from left to right), and addition/subtraction (from left to right). To simplify this expression, we first need to simplify the terms within the parentheses.

The expression within the parentheses is 2x - y, so we can square it to get (2x - y)², which is equal to 4x² - 4xy + y². We can then substitute this expression back into the original expression to get:

-3(4x² - 4xy + y²)y²(xy)

Simplifying the expression within the parentheses first we get,

-3(4x² - 4xy + y²)y²(xy) = -12x²y³ + 12xy⁴ - 3y⁵x

Next, we can simplify the term y²(xy) to get y³x, and then distribute the negative 3 throughout the expression to get:

-3(4x²y³ - 4xy⁴ + y³x)

This can be further simplified by distributing the negative 3 and combining like terms to get:

-12x²y³ + 6xy⁴

Therefore, the simplified expression for -3(2x - y)²y²(xy) is -12x²y³ + 6xy⁴.

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The mathematical expectation of a single turn in this game is $10.

The mathematical expectation of a single turn is calculated as follows;

The probability of getting two tails is calculated as;

P(TT) = 1/4

The Probability of getting other outcomes is calculated as;

= 1 - 1/4

= 3/4

The mathematical expectation of a single turn is calculated as follows;

Expected value = (1/4 x $100) + (3/4 x (-$20))

Expected value = $25 - $15

Expected value = $10

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Answer:

Liability car insurance

the actual distance between Snake World and the International Space Center is 76 miles.

To find the actual distance in miles between Snake World and the International Space Center, we need to use the given scale of the map: 5 inches = 95 miles.

If 5 inches on the map represents 95 miles, we can set up a proportion to find the actual distance in miles for the measured length on the map.

Let's denote the actual distance in miles as "x".

According to the given scale, we have the proportion:

5 inches / 95 miles = 4 inches / x miles

We can cross-multiply to solve for x:

5 inches * x miles = 4 inches * 95 miles

Simplifying further:

5x = 380

Dividing both sides by 5:

x = 380 / 5

Calculating the value:

x = 76

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Answer:

5/24 kg

Step-by-step explanation:

5/6 ÷ 4/1 (keep-change-flip)

5/6 x 1/4 = 5/24

Answer:

4x^2 + 4x + 1=9

4x^2 + 4x - 8=0

Dividing both sides by 4

x^2 + x -2=0

It can be written as

x^2 + 2x - x - 2=0

x(x+2) -1(x+2)=0

taking (x+2) as common on LHS

Then, (x+2)(x-1)=0

Now first equate x+2=0  ie x=-2

then                 x-1=0 ie x=1

Therefore, x has two values(roots)

that is -2,1

Answer: i think its the second one, im sorry if its wrong :(

Step-by-step explanation:

I think it's the last one hoping it's correct : )

Slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Given that A cell phone company uses the equation C=$0.15t+$35.00

C is the total cost for a month of service.

t is the number of text messages.

We have to find the slope of the equation.

slope is 0.15 and 35.00 is the y intercept of the equation given.

Hence, slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

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The value of a is 10 by solving the quadratic equation by completing the square method.

In this question,

Completing the square is a method in algebra that is used to write a quadratic expression in a way such that it contains the perfect square. It is a method that is used for converting a quadratic expression of the form ax^2 + bx + c to the vertex form a(x - h)^2 + k.

The quadratic equation is

10x^2 + 40x - 13 = 0

Solving the quadratic equation by completing the square as

Step 1:

10x^2 + 40x = 13

Step 2:

10(x^2 + 4x) = 13

Thus on comparing the step 2 with the equation a(x^2 + 4x) = 13, the value of a is 10.

Hence we can conclude that the value of a is 10 by solving the quadratic equation by completing the square method.

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Answer:

x = - 5

Step-by-step explanation:

Given h(x) = 6x - 2 and h(x)= - 32, then equate the right sides, that is

6x - 2 = - 32 ( add 2 to both sides )

6x = - 30 ( divide both sides by 6 )

x = - 5

Answer:

1183

Step-by-step explanation:

75th term of Arithmetic sequence is 1183 Given: -1, 15, 31,... is Arithmetic series To find: The 75th term of the arithmetic sequence -1, 15, 31

The parallelism of the linear equations of two lines is clearly shown by the fact that both have the same slope. Due to the fact that they both have a slope of -2, they are parallel.

An equation is said to be linear if the maximum power of the variable is consistently 1.

Another name for it is a one-degree equation.

A linear equation with one variable has the conventional form Ax + B = 0.

In this case, the variables x and A are variables, while B is a constant.

So, there is a degree of 1 in these equations.

Knowing the lines' equation:

ab: 6x + 3y = 9

cd: 4x + 2y = 8

Afterward, write in slope-intercept form as follows:

ab: y = -2x + 3

cd = y = -2x +8

It is evident that both lines have the same slope, demonstrating their parallelism.

Therefore, the parallelism of the linear equations of two lines is clearly shown by the fact that both have the same slope. Due to the fact that they both have a slope of -2, they are parallel.

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The result of the evaluation of the equation ∫∫∫ B (x² + ln(y) + z) dV ≈ 3702.2089. (rounded to four decimal places).

To evaluate the given triple integral, we can use the provided limits of integration to set up the integral expression:

∫∫∫ B (x² + ln(y) + z) dV,

where B represents the region defined by 0 ≤ x ≤ 6, 1 ≤ y ≤ 5, and 0 ≤ z ≤ 9.

Since dV can be expressed as dxdydz, we can rewrite the integral as:

∫∫∫ B (x² + ln(y) + z) dxdydz.

Now, let's integrate with respect to x first. The limits of x are from 0 to 6:

∫∫∫ B (x² + ln(y) + z) dx dy dz

= ∫∫ [ (1/3)x^3 + x ln(y) + xz ] (from x = 0 to x = 6) dy dz.

Simplifying the expression:

∫∫∫ B [ (1/3)(6³) + 6 ln(y) + 6z - 0 ] dy dz

= ∫∫∫ B [ 72 + 6 ln(y) + 6z ] dy dz.

Now, integrate with respect to y. The limits of y are from 1 to 5:

∫∫∫ B [ 72 + 6 ln(y) + 6z ] dy dz

= ∫ [ 72y + 6y ln(y) + 6yz ] (from y = 1 to y = 5) dz.

Simplifying further, we have:

∫∫∫ B [ (360 + 30 ln(5) + 30z) - (72 + 6 ln(1) + 6z) ] dz

= ∫∫∫ B (288 + 30 ln(5) + 24z) dz.

Finally, integrate with respect to z. The limits of z are from 0 to 9:

∫∫∫ B (288 + 30 ln(5) + 24z) dz

= [ 288z + 15 ln(5)z + 12z² ] (from z = 0 to z = 9).

Evaluating the expression, we get:

[ 288(9) + 15 ln(5)(9) + 12(9^2) ] - [ 288(0) + 15 ln(5)(0) + 12(0²) ]

= 2592 + 135 ln(5) + 972.

Rounding the answer to four decimal places, we have:

∫∫∫ B (x² + ln(y) + z) dV ≈ 3702.2089.

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Answer:

for the 1 one is: ___________Find the x and y Intercepts___________

for the 2 one it is a: ________Graph_________

Step-by-step explanation:

BRAINLYLIST will highly appreciated

HAVE A GOD LIKE DAY

The income effect resulting from the change in the price of x1 is approximately 17.14. This means that, due to the price increase of x1, the consumer's purchasing power has decreased by 17.14 units.

To determine the income effect resulting from the change in the price of good x1 (from P1 to P1'), we need to calculate the difference in the consumer's purchasing power before and after the price change.

Calculate the consumer's original budget allocation:

Using the original prices P1 = 15, P2 = 30, and the original income I = 2513, we can substitute these values into the given equations for x1 and x2:

x1 = (21/7P1) = (21/7 * 15) = 45

x2 = (51/7P2) = (51/7 * 30) = 219

So, the original budget allocation is x1 = 45 and x2 = 219.

Calculate the new budget allocation:

With the new price of P1' = 65, we can substitute it into the equation for x1:

x1' = (21/7P1') = (21/7 * 65) = 195/7 ≈ 27.86

Since the price of x1 has changed, we need to recalculate the quantity of x2. However, we don't have enough information about the relationship between x1 and x2 to determine the exact new quantity of x2.

Calculate the difference in purchasing power:

To calculate the income effect, we need to compare the consumer's purchasing power before and after the price change. Since the price of x1 has increased, the consumer can afford to buy less of x1. The income effect measures the change in purchasing power as a result of the price change.

Difference in purchasing power = Original budget allocation of x1 - New budget allocation of x1

= x1 - x1'

= 45 - (195/7)

= (315 - 195)/7

= 120/7 ≈ 17.14

The income effect resulting from the change in the price of x1 is approximately 17.14. This means that, due to the price increase of x1, the consumer's purchasing power has decreased by 17.14 units.

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To determine whether a system is linear and time-invariant, we need to check two properties: linearity and time-invariance.

(i) Linearity:

A system is linear if it satisfies the properties of superposition and scaling.

(ii) Time-invariance:

A system is time-invariant if its output remains unchanged when the input is shifted in time.

Now, let's analyze each option:

(a) y[n] = n x[n]:

This system is linear because it satisfies the properties of superposition and scaling. However, it is not time-invariant because the output depends on the value of n, which means it changes when the input is shifted in time. Therefore, option (a) is linear but not time-invariant.

(b) y[n] = x[n] + 1:

This system is linear because it satisfies the properties of superposition and scaling. Additionally, it is time-invariant because shifting the input in time by n does not affect the output. Therefore, option (b) is both linear and time-invariant.

(c) y[n] = 2y[n - 1] + 3x[n] + nx[n - 1]:

This system is nonlinear because of the presence of the term "nx[n - 1]". Additionally, it is not time-invariant because the output depends on the current and past values of the input, which means it changes when the input is shifted in time. Therefore, option (c) is neither linear nor time-invariant.

(d) y[n] = 2y[n - 1] + 3x[n] + 4x[n - 1]:

This system is nonlinear because of the presence of the term "4x[n - 1]". Additionally, it is not time-invariant because the output depends on the current and past values of the input, which means it changes when the input is shifted in time. Therefore, option (d) is neither linear nor time-invariant.

In conclusion, the only system that is both linear and time-invariant is option (b) given by y[n] = x[n] + 1.

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Answer:

6.75 ounces of Skittles

Step-by-step explanation:

If there are 4.5 bags of Skittles left and each bag weighs 1.5 ounces, then the total amount of Skittles in ounces can be found by multiplying the number of bags by the weight per bag:

4.5 bags x 1.5 ounces/bag = 6.75 ounces

Therefore, there are 6.75 ounces of Skittles at the candy shop.

6.75 ounces

Step-by-step explanation:

1.5 x 4.5 = 6.75 ounces