For the set A=
-4 a) list the elements of A
b) find n(A)
c) Is A finite or infinite?
HELP

Using proportions, it is found that the cost of the 5 t-shirts would be of 564.83 Kronas.

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using a rule of three, that can be either direct(cross multiplication) or inverse(line multiplication), deriving from proportional relationships. One example of application of proportions is for currency conversion problems, as multiplication or division operations are applied according to the rates of each coin.

For this problem, we have that 7 t-shirts cost $90.93, hence the cost of a t-shirt in U.S. dollars is given applying the proportion to find the unit rate as follows:

$90.93/7 = $12.99.

The cost of 5 t-shirts will be given by:

5 x 12.99 = $64.95.

Applying the proportion 1 U.S. Dollar = 8.6964 Krona, the cost in Kronas is:

64.95 x 8.6964 = 564.83 Kronas.

The cost of the 5 t-shirts would be of 564.83 Kronas.

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Answer:

y = 500 • (0.952)ⁿ

Step-by-step explanation:

y = 500 • (0.952)ⁿ

We need to find the angle (rounded to the nearest whole degree) of a circle that would represent the percent of students taking mathematics.

Since a complete turn around the circle has 360º, we have the following proportion:

Number of students Angle

734 360º

442 x

Then, cross multiplying the above values, we obtain:

Answer: 217º

Answer:

217°

Step-by-step explanation:

The fraction of students taking math is   442/734

 we need this same fraction of the 360 degrees in a circle

442/734 * 360 = 217°

The given information that X0=1, X1=4, X2=1, X3=3, and X4=3 further restricts the possible values that X5 can take.

The realization of the stochastic process implies that the values of the stochastic process are observed at particular points in time. It is denoted by x(t) and takes the form of a function of time t.

If the process is discrete, then the function is a sequence of values at discrete points in time.

A stochastic process is one that evolves over time and the outcomes are uncertain.

The given expression P(X5=3|X4=3,X3=3,X2=1,X1=4, X0=1) gives the probability of X5 being equal to 3 given that X4 is equal to 3, X3 is equal to 3, X2 is equal to 1, X1 is equal to 4, and X0 is equal to 1.

To understand the above expression, suppose we have a stochastic process with values X0, X1, X2, X3, X4, and X5.

The given expression provides the conditional probability of the value of X5 being equal to 3 given that X0, X1, X2, X3, and X4 take specific values.

The given information that X0=1, X1=4, X2=1, X3=3, and X4=3 further restricts the possible values that X5 can take.

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Answer: linear combo of terms involving x & y, with respective numbers determining their contribution to the expression

If one is the sole factor that connects a fraction's numerator and denominator, then that fraction is said to be in its simplest form.The mixed fraction is 33*3/4

As an illustration, the fraction 89 has only one common component between the digits 8 and 9, which is 1.Since fractions always work or can be calculated when they are in their simplest form, we simplify them.When two numbers are represented together, they are called mixed numbers.

Based on the given conditions, formulate:45 / 1/1/3

Convert the expression into a fraction: 45/1/1+1/1

Expand the fraction to get the least common demominator: 45/ 3/1*3+1/3

Calculate the product or quotient:45/3/3 +1/3

Write the numerators over common denominator:45/3+1/3

Calculate the sum or difference:45/4/3

Divide a fraction by multiplying its reciprocal:45* 3/4

Write as a single fraction:45* 3/4

Calculate the product or quotient:135/4

Convert to mixed fraction: 33*3/4

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Therefore, the car travels a distance of 1320 feet while it is accelerating.Car covers 1320 ft while accelerating.

In the given scenario, we are given that a car accelerates at a constant rate from 44 ft/sec to 88 ft/sec in 5 seconds.

(a) The figure shows the velocity of the car while it is accelerating. We need to find the values of a, b, and c in the figure.

The value of a represents the initial velocity of the car, which is 44 ft/sec.

The value of b represents the final velocity of the car, which is 88 ft/sec.

The value of c represents the time it takes for the car to reach the final velocity, which is 5 seconds.

Therefore, the values in the figure are: a = 44 ft/sec, b = 88 ft/sec, and c = 5 sec.

(b) To calculate the distance traveled by the car while it is accelerating, we can use the equation of motion:

Distance = Initial velocity × Time + 0.5 × Acceleration × \(x^{2}\)

Since the car is accelerating at a constant rate, we can use the formula:

Distance = (Initial velocity + Final velocity) / 2 × Time

Plugging in the given values:

Distance = (44 ft/sec + 88 ft/sec) / 2 × 5 sec

Distance = 132 ft/sec / 2 × 5 sec

Distance = 264 ft/sec × 5 sec

Distance = 1320 ft

Therefore, the car travels a distance of 1320 feet while it is accelerating

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Answer: I think it’s 5

Step-by-step explanation:

Well if you go on calculator 16 * 5 which would represent m - 0.4 would give you the answer 0.4.

Answer:

1277.6

Step-by-step explanation:

798.50 x 0.6 = 479.1

798.50 + 479.1 = 1277.6

Mark Me Brainliest Please! ⭐

In order to calculate the z-scores for the given Confidence Interval (CI) levels, we need to use the Z-table. It is also known as the standard normal distribution table. Here are the z-scores for the given Confidence Interval levels:1. 68% CI: The confidence interval corresponds to 1 standard deviation on each side of the mean.

Thus, the z-score for the 68% \(CI is ±1.00.2. 85% CI\): The confidence interval corresponds to 1.44 standard deviations on each side of the mean.

We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.85)/2)z = invNorm(0.925)z ≈ ±1.44\)Note that invNorm is the inverse normal cumulative distribution function (CDF) which tells us the z-score given a certain area under the curve.3. 99% CI: The confidence interval corresponds to 2.58 standard deviations on each side of the mean. We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.99)/2)z = invNorm(0.995)z ≈ ±2.58\)

Note that in general, to calculate the z-score for a CI level of (100 - α)% where α is the level of significance, we can use the following formula:\(z = invNorm((1 + α/100)/2)\) Hope this helps!

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The most desirable spaces excluding 7 are 6 and 8 because there are more ways to roll a 6 or 8 than any other numbers except 7.

In the game of Settlers of Catalan, the two most desirable spaces excluding 7 are 6 and 8. These are the most desirable spaces because there are more combinations of numbers that add up to 6 and 8 than any other numbers except 7.

Let's have a closer look at the numbers on each die:

Die 1: 1, 2, 3, 4, 5, 6

Die 2: 1, 2, 3, 4, 5, 6

For the numbers that add up to 6, we have:

1 + 5 = 62 + 4

= 63 + 3

= 64 + 2

= 65 + 1

= 6

For the numbers that add up to 8, we have:

2 + 6 = 83 + 5

= 84 + 4

= 85 + 3

= 86 + 2

= 87 + 1

= 8

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4 jars Lorraine can fill with tomatoes as in step with the given unit conversion.

The same attribute is expressed using a unit conversion but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometers, feet, or any other measurement unit instead of miles.

Given this, Lorraine prepared a 1.5-gallon pot filled with tomatoes to be canned in jars. Each jar will hold 1.5 quarts of tomatoes

Since 1 gallon is equal to 4 quarts.

Total tomatoes Lorrain has = 1.5 gallons = 1.5 * 4 quarts

Total tomatoes Lorrain has = 6 quarts

Since one jar can only fit 1.5 quarts of tomatoes

Thus,

the number of jars that can be filled = 6/1.5 = 4

Therefore, 4 jars Lorraine can fill with tomatoes as per the given unit conversion.

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To accurately represent the shoe sizes for men and women separately, it would be better to compute the mean or median shoe size for each group separately and compare them.

The problem with either the mean or the median as a measure of center in this case is that the data is not separated by gender, and the shoe size distributions for men and women are likely to be different. Therefore, computing the mean or median shoe size across all students may not accurately represent the typical shoe size for men or women separately.

For example, if the men in the sample have, on average, larger shoe sizes than the women, then the mean shoe size across all students may be biased towards the larger sizes, even though the majority of the students are women. On the other hand, if there are a few male students with very large shoe sizes, then the median shoe size across all students may be biased towards the larger sizes as well, even if most of the students are women with smaller shoe sizes.

To accurately represent the shoe sizes for men and women separately, it would be better to compute the mean or median shoe size for each group separately and compare them. Alternatively, a better measure of center might be to report the mode, which represents the most common shoe size in the data.

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The probability that the mean number of moths in a sample of size 50 is greater than or equal to 0.6 is 8.08%

The CLT states that the distribution of the sample means of a random variable with a finite mean and standard deviation approaches a normal distribution as the sample size increases.

In this case, the population mean is 0.5, and the population standard deviation is 0.7. Since we have a sample size of 50, the standard deviation of the sample means would be

=> 0.7 / √(50) = 0.099.

Next, we need to calculate the z-score, which measures the number of standard deviations from the mean.

In this scenario, we want to find the probability that the mean number of moths in a sample of size 50 is greater than or equal to 0.6. So, we would plug in x = 0.6, μ = 0.5, σ = 0.7, and n = 50 into the z-score formula. This gives us

=> (0.6 - 0.5) / (0.7 / √(50)) = 1.41.

Using a standard normal distribution table or calculator, we can find that the probability of a z-score of 1.41 or higher is approximately 0.0808. Therefore, the estimated probability that the mean number of moths in a sample of size 50 is greater than or equal to 0.6 is 0.0808 or about 8.08%.

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Complete Question:

The gypsy moth is a serious threat to oak and aspen trees. A state agriculture department places traps throughout the state to detect the moths. Each month, an SRS of 50 traps is inspected, the number of moths in each trap is recorded, and the mean number of moths is calculated. Based on years of data, the distribution of moth counts is discrete and strongly skewed, with a mean of 0.5 and a standard deviation of 0.7. Estimate the probability that the mean number of moths in a sample of size 50 is greater than or equal to 0.6.

Using Gaussian elimination, the complete solution to the system of equations is (w, x, y, z) = (-8/19, 54/95, 39/19, 0).

To solve the system of equations using Gaussian elimination, we first write the augmented matrix:

\(\begin{bmatrix}1 & -4 & -1 & | & -5 \\0 & 5 & -2 & | & 5 \\0 & 9 & 1 & | & 6 \\0 & 1 & -2 & | & 1 \\\end{bmatrix}$$\)

Next, we perform row operations to reduce the matrix to row echelon form:

R2 = R2 - R1:

\(\begin{bmatrix} 1 & -4 & -1 & -5 & \big| & -21 \\ 0 & 5 & -2 & 5 & \big| & 6 \\ 1 & 5 & 0 & 1 & \big| & 23 \\ 0 & 1 & -2 & 1 & \big| & 6 \end{bmatrix}\)

R3 = R3 - R1:

\(\begin{bmatrix}1 & -4 & -1 & -5 & | & -21 \\0 & 5 & -2 & 5 & | & 6 \\0 & 9 & 1 & 6 & | & 44 \\0 & 1 & -2 & 1 & | & 6 \\\end{bmatrix}\)

R3 = R3 - 9R2:

\(\begin{bmatrix}1 & -4 & -1 & -5 & | & -21 \\0 & 5 & -2 & 5 & | & 6 \\0 & 0 & 19 & -39 & | & -14 \\0 & 1 & -2 & 1 & | & 6\end{bmatrix}\)

R4 = R4 - R2:

\(\begin{bmatrix}1 & -4 & -1 & -5 \\0 & 5 & -2 & 5 \\0 & 0 & 19 & -39 \\0 & 0 & 0 & -4\end{bmatrix}\)

Now we have the row echelon form of the augmented matrix, and we can solve for the variables using back substitution. From the last row, we have -4z = 0, so z = 0.

Substituting this into the third row, we get 19y = 39, or y = 39/19. Substituting these values into the second row, we get 5x - 10(39/19) = 6, or x = 54/95. Finally, substituting all three values into the first row, we get w = -8/19.

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We have the following details:

A sociologist sampled 200 people who work in computer-related jobs and found that 42 of them have changed jobs in the past year. We need to construct a 99% confidence interval for the percentage of people who work in computer-related jobs and have changed jobs in the past year.

Formula used:

The formula for calculating the confidence interval for proportions is as follows:

Lower Limit = P - Zα/2* √(P(1-P)/n)

Upper Limit = P + Zα/2* √(P(1-P)/n)

Where

P = Sample proportion

Zα/2 = (1 - α) / 2 percentile from standard normal distribution

n = Sample size

Substituting the given values into the formula:

P = 42 / 200

= 0.21n

= 200α

= 0.01Zα/2

= 2.58 (for 99% confidence interval)

Lower Limit = 0.21 - (2.58) * √((0.21)(0.79) / 200)

= 0.132

Upper Limit = 0.21 + (2.58) * √((0.21)(0.79) / 200)

= 0.288

Therefore, the 99% confidence interval is (0.132, 0.288)

Interpretation of the 99% confidence interval:

The 99% confidence interval obtained in the above question indicates that we are 99% confident that the percentage of people who work in computer-related jobs and have changed jobs in the past year lies between 13.2% and 28.8%.

Thus, the sociologist can say with 99% confidence that the percentage of people who work in computer-related jobs and have changed jobs in the past year is between 13.2% and 28.8%.

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Answer:

Step-by-step explanation:On April 21, 1836, the Texans defeated Santa Anna's army at the Battle of San Jacinto; Santa Anna was captured the following day. The Mexican army retreated back to Mexico City, ending the Texas Revolution.

HOPE THIS HELPPPPP

x^2 + 6xy + 8y2

4x^2 + 3xy + 2y^2 - 5x^2 + 2xy + 6y^2

= 4x^2 + 3xy + 2y^2 + -5x^2 + 3xy + 6y^2

Combine like terms:

= 4x^2 + 3xy + 2y^2 + -5x^2 + 3xy + 6y^2

= (4x^2 + -5x^2) + (3xy + 3xy) + (2y^2 + 6y^2)

= -x^2 + 6xy + 8y^2

Answer:

8 √ 140

Step-by-step explanation:

(i) The pre-experimental planning is clear research, précised sample size, sampling method, experimental design and protocol. (ii) Two major sources of variation that would be difficult to control are Environmental factors and Variation in the quality.

(i) The pre-experimental planning for this experiment design would include the following steps:

Clearly define the research question and the population of interest.

Determine the sample size required to achieve a desired level of precision and confidence.

Identify the appropriate sampling method to use (e.g., simple random sampling, stratified sampling, cluster sampling).

Determine the appropriate experimental design to use (e.g., randomized controlled trial, quasi-experimental design).

Develop a detailed experimental protocol, including the procedures for collecting and recording data, as well as any necessary ethical considerations.

(ii) Two major sources of variation that would be difficult to control in this experiment are:

Environmental factors, such as temperature, humidity, and atmospheric pressure, which can affect the popping rate of popcorn kernels.

Variation in the quality of the popcorn kernels themselves, such as differences in moisture content, size, and shape, which can affect the popping rate.

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Answer:

F(n) =-3n+24

Step-by-step explanation:

The simplified equation of 7y + 8 = 9 + 3y + 2y is 2y = 1

The equation can be simplified as follows:

7y + 8 = 9 + 3y + 2y

We have to combine like terms

Hence,

7y + 8  = 9 + 3y + 2y

7y + 8 = 9 + 5y

subtract 5y from both sides

7y - 5y + 8 = 9 + 5y - 5y

2y + 8 = 9

Let's subtract 8 from both sides

2y + 8 - 8 = 9 - 8

2y = 1

Therefore, the simplified equation of 7y + 8 = 9 + 3y + 2y is 2y = 1

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Answer:

∠ O = 61°, ∠ N = 119°

Step-by-step explanation:

In a parallelogram

Consecutive angles are supplementary

Opposite angles are congruent, thus

x + 2x - 3 = 180

3x - 3 = 180 ( add 3 to both sides )

3x = 183 ( divide both sides by 3 )

x = 61°

Thus

∠ O = ∠ M = x = 61°

∠ N = ∠ P = 2x - 3 = 2(61) - 3 = 122 - 3 = 119°

Answer:

Dana crossed the finish line before Mari.

Step-by-step explanation:

\(2.08<2.12<2.21<2.25<2.50\)

Dana<Mari<Clair<Jason<Alex

Tthe area enclosed by the lemniscate is 4 units squared.

The lemniscate is symmetric about the x-axis and y-axis, so we can find the area in the first quadrant and multiply it by 4.

In polar coordinates, the equation of the lemniscate can be written as:

r^2 = 4cos(2θ)

Squaring both sides, we get:

r^4 = 16cos^2(2θ)

Converting to Cartesian coordinates, we have:

x^2 + y^2 = 16cos^2(2θ)

Using the identity cos(2θ) = (1/2)(cos^2θ - sin^2θ), we can simplify the equation to:

x^2 + y^2 = 8(cos^4θ - cos^2θsin^2θ)

Multiplying both sides by r, we get:

r^2 = 8r(cos^4θ - cos^2θsin^2θ)

Substituting x = rcosθ and y = rsinθ, we get:

x^2 + y^2 = 8(x^2 - xy + y^2)(x^2 + y^2)

Simplifying, we get:

x^4 - 2x^2y^2 + y^4 = (1/8)

This is the equation of a quartic curve, which is symmetric about the x-axis and y-axis.

To find the area enclosed by the lemniscate in the first quadrant, we can integrate over the range 0 ≤ θ ≤ π/4:

A = 4 ∫[0,π/4] ∫[0,r(θ)] r dr dθ

where r(θ) = 2√cos(2θ).

Evaluating the integral, we get:

A = 4 ∫[0,π/4] ∫[0,2√cos(2θ)] r dr dθ

= 4 ∫[0,π/4] (1/2)(2√cos(2θ))^2 dθ

= 4 ∫[0,π/4] 2cos(2θ) dθ

= 4[sin(π/2) - sin(0)]

= 4

Therefore, the area enclosed by the lemniscate is 4 units squared.

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Answer: the answer is B: f(x) = –2(x – 5)(x – 1)

Step-by-step explanation: i took the test

Answer:ITS A

Step-by-step explanation:

cuz I got it wrong and it showed me the right answer

Answer:

11,904

Step-by-step explanation:

The equation for simple interest is as follows

PV(1+it)

plug in our values and get

9600(1+.08*3)

9600(1+.24)

9600*1.24=11,904

Answer:

D

Step-by-step explanation:

In 2 hours they wash 8 cars total so...

8

16

24

The extra time is 15 mins for 2 cars