what's greater 541.6% or 541%

The critical value zₐ/₂ that corresponds to an 83% level of confidence is approximately 1.381.

To find the critical value zₐ/₂, we need to determine the value that leaves an area of (1 - α)/2 in the tails of the standard normal distribution. In this case, α is the complement of the confidence level, which is 1 - 0.83 = 0.17. Dividing this value by 2 gives us 0.17/2 = 0.085.

To find the z-value that corresponds to an area of 0.085 in the tails of the standard normal distribution, we can use a standard normal distribution table or a statistical calculator. The corresponding z-value is approximately 1.381.

Therefore, the critical value zₐ/₂ that corresponds to an 83% level of confidence is approximately 1.381.

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The coordinates of point Q is the location of point Q in the parallelogram

The coordinates of point Q is (2b + 2a,2c)

The coordinates are given as:

P(2b, 2c) Q(?, ?)  S(0, 0) R(2a, 0)

Since the shape is a parallelogram; it means that the distance PQ is the same as the distance RS.

The distance RS is calculated as:

RS = (2a - 0, 0 - 0)

This gives

RS = (2a, 0)

The coordinates of  Q is then calculated using:

Q = P + RS

This gives

Q = (2b,2c) + (2a,0)

Evaluate the sum

Q = (2b + 2a,2c)

Hence, the coordinates of point Q is (2b + 2a,2c)

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Domain

\(-\infty \: < x < \infty\)

Range

\(f\left(x\right)\ge \:-7\:\)

Answer:

The answer is explained below

Step-by-step explanation:

Given that:

mean (μ) = 7 and standard deviation (σ) = 1.5.

The z score is used in statistic used to measure the number of standard deviation by which the raw score is above or below the mean value. It is given by:

\(z=\frac{x-\mu}{\sigma}, where\ x\ is\ the \ raw\ score\)

To find the Probability that x < 8.8, we first find the z score using:

\(z = \frac{x-\mu}{\sigma}=\frac{8.8-7}{1.5}=1.2\)

From the z tables, P(x < 8.8) = P(z < 1.2) = 0.8849 = 88.49%

The centroid of a triangle is the point where the three medians of the triangle intersect. In this case, the triangle has vertices at (0, 0), (5, 0), and (0, 7).

First, let's calculate the average x-coordinate:
¯x = (0 + 5 + 0) / 3 = 5/3 ≈ 1.67

Next, let's calculate the average y-coordinate:
¯y = (0 + 0 + 7) / 3 = 7/3 ≈ 2.33, the centroid of the triangle with vertices at (0, 0), (5, 0), and (0, 7) is approximately (1.67, 2.33).
In summary, the centroid of the triangle with verticesvertices at (0, 0), (5, 0), and (0, 7) is located at approximately (1.67, 2.33). This point represents the average position of the three vertices and is the intersection point of the medians of the triangle.

The centroid coordinates are found by taking the average of the x-coordinates and the average of the y-coordinates of the three vertices. In this case, we add up the x-coordinates (0 + 5 + 0 = 5) and divide by 3 to get an average of 5/3, which is approximately 1.67. Similarly, we add up the y-coordinates (0 + 0 + 7 = 7) and divide by 3 to get an average of 7/3, which is approximately 2.33. These values represent the x-coordinate (¯x) and the y-coordinate (¯y) of the centroid, respectively. Therefore, the centroid of the triangle is located at approximately (1.67, 2.33).

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According to the recent National survey of 200 High School students of driving age, 43% stated that they text while driving at least once. Assume that this percentage represents the true population proportion of High School student drivers who text while driving. The task is to determine the probability that more than 53% of High School students have texted while driving.

We can use the normal approximation to the binomial distribution to determine this probability .For a binomial distribution with a sample size n and probability of success p, the mean is np and the variance is npq, where q = 1 - p. Hence, in this case, the sample size is n = 200, and the probability of success is p = 0.43. Therefore, the mean is μ = np = 200 × 0.43 = 86, and the variance is σ² = npq = 200 × 0.43 × (1 - 0.43) = 48.98.

The probability of more than 53% of High School students having texted while driving is equivalent to finding the probability of having more than 106 High School student drivers who text while driving. This can be calculated using the normal distribution formula as:

P(X > 106) = P(Z > (106 - 86) / √48.98)where Z is the standard normal distribution. Therefore, we have:P(X > 106) = P(Z > 2.11)Using a standard normal distribution table or calculator, we can find that P(Z > 2.11) = 0.0174. Therefore, the probability that more than 53% of High School students have texted while driving is approximately 0.0174 or 1.74%.In conclusion, the probability that more than 53% of High School students have texted while driving is approximately 0.0174 or 1.74%.

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Answer: 5

Step-by-step explanation:

the y intercept is the "b" value in the form y = mx + b

Triangular distribution is a good distribution when only minimum, most likely, and maximum value of a process is known. If we know the mean and standard deviation of a process, then Poisson distribution can be used to model this process. Lognormal distribution would be a good choice to model appointment times in a clinic. In this regard, the statements mentioned in the question are all true. 

Triangular distribution is a probability distribution that is used to find the expected value of a random variable when only minimum, most likely, and maximum values are known. It is a continuous probability distribution, with values distributed between the specified minimum, maximum, and most likely values. The shape of the distribution is in the form of a triangle, hence the name Poisson distribution is a probability distribution that is used to model the number of occurrences of an event in a fixed period of time, provided that the events are independent of each other and the average rate of occurrence is known. If we know the mean and standard deviation of a process, we can use the normal distribution to model this process.

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Answer and Step-by-step explanation:

(i) The solution for equation: 2(3x-3) - 5 = 2(x-3) + 15 is:

2(3x-3) - 5 = 2(x-3) + 15

6x - 6 - 5 = 2x - 6 +15

6x - 2x = - 6 + 15 + 6 + 5

4x = 20

x = 5

The solution x is a real number and equals 5.

(ii) Since the order of hot sauce that goes into the gumbo doesn't matter, use combination:

\(C^{10}_{3}\) = \(\frac{10!}{3! (10-3)!}\)

\(C^{10}_{3}\) =  \(\frac{10.9.8.7!}{3.2.1.7!}\)

\(C^{10}_{3}\) = 120

There are 120 ways of picking 3 sauces out of 10.

(iii) Interest is calculated as:

interest = principal*rate*time

Principal is the value of the loan;

Rate is how much it will increase;

Time is for how long the loan will be taken. In this case, time is 9/12 since it was for months;

Interest = 3000 * \(\frac{11.75}{100}*\frac{9}{12}\)

Interest = 264.37

The interest the student will pay will be: $264.37.

Future Value = principal + interest

future value = 3000 + 264.37

future value = 3264.37

The future value for the student is $3264.37.

(iv) As shown in the image in the attachment, the sum of the equations equals 90:

2x + 30 + 2x + 40 = 90

4x = 20

x = 5

The angles are 40° and 50°

Answer:

180(n-2) or B

Step-by-step explanation:

Answer:

x ≤ - \(\frac{1}{3}\)

Step-by-step explanation:

Given

3x + 14 ≤ 13 ( subtract 14 from both sides )

3x ≤ - 1 ( divide both sides by 3 )

x ≤ - \(\frac{1}{3}\)

Answer:

Step-by-step explanation:

3x+14≤13

x

\(step - 1 \colon \: define\)

\(3x + 14 \leqslant 13\)

\(step - 2 \colon \: subtract\)

\(3x + 14 - 14 \leqslant 13 - 14\)

\(3x \leqslant - 1\)

\(step - 3 \colon \: divide\)

\( \frac{3}{3} x \leqslant - \frac{1}{3} \)

\(x \leqslant - \frac{1}{ 3} \)

In Fechner's Law, as one variable increases arithmetically, the other variable increases geometrically.

In Fechner's Law, as one variable increases arithmetically, the other variable increases: b. geometrically.

Fechner found in his research that different people have different sensitivities to certain stimuli. For example, the ability to see differences in light can affect the quality of a person's vision. It has also been noted that people are sensitive to changes in stimuli due to emotional impact. He used this to create another version of Weber's law, which he called die Maß formel, or "measurement formula." Fechner's law states that the force of thought is proportional to the logarithm of the force.

If the intensity of the stimulus is tripled (eg 3×1), the sensitivity doubles from its original value (eg 1+1).

If the intensity of the stimulus is tripled again (eg 3×3×1), the corresponding sensitivity will be three times its original value (eg 1+1+1).

So, for the stimulus intensity to double, the perceived intensity only increases.

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Answer:

The missing fraction is 6/12

(you can further simplify this but the question requires that you don't do that)

Step-by-step explanation:

To add fractions easily, their denominators should have the same value, so the denominator should be 12,

Then, to get 16 in the numerator, we need to find a number that on adding to 10, gives 16, or,

10 + x = 16

x = 16 - 10

x = 6

So, the numerator should be 6

so we get the fraction, 6/12

We can also solve it in an alternate way,

\(10/12 + x = 16/12\\x = 16/12 - 10/12\\x = (16-10)/12\\x = 6/12\)

Answer:

4096

Step-by-step explanation:

Answer:

8^2

Step-by-step explanation:

(2⁴)×(2²)²

16²×4²

256×16=4096

√4096=√64=8²

I hope this is what you were looking for! <3

They both equal to -0.09

Answer:

-0.0958296362=-0.09

this is the answer for both

like last time>:(

Step-by-step explanation:

The correct statement is the percent increase of her salary is 20% every year. Hence, the answer is option E. Given that a company's vice president's salary n years after becoming vice president is defined by the formula S(n) = 70000(1.2)". We have to determine which of the following statements is true:

Given that a company's vice president's salary n years after becoming vice president is defined by the formula S(n) = 70000(1.2)". We have to determine which of the following statements is true:

She will be receiving a 2% raise per year. Her salary will increase $14,000 every year. The percent increase of her salary is 120% every year. Her salary is always 0.2 times the previous year's salary. The percent increase of her salary is 20% every year.

To calculate the salary of the vice president after n years of becoming a vice president, we use the given formula:

S(n) = 70000(1.2)

S(n) = 84000

The salary of the vice president after one year of becoming a vice president: S(1) = 70000(1.2)

S(1) = 84000

The percent increase of her salary is: S(n) = 70000(1.2)n

S(n) - S(n-1) / S(n-1) × 100%

S(n) - S(n-1) / S(n-1) × 100% = (70000(1.2)n) - (70000(1.2)n-1) / (70000(1.2)n-1) × 100%

S(n) - S(n-1) / S(n-1) × 100% = 20%

Therefore, the correct statement is the percent increase of her salary is 20% every year. Hence, the answer is option E.

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A chart that compares three sets of values in a three-dimension chart is called surface.

A two-dimensional collection of points (flat surface), a three-dimensional collection of points with a curved cross section (curved surface), or the perimeter of any three-dimensional solid are all examples of surfaces in geometry.

A surface is typically a continuous boundary that separates two areas of a three-dimensional space. For instance, a sphere's surface divides its interior from its exterior, and a horizontal plane divides the half-planes above and below it. Despite the fact that regions they contain are three-dimensional and have a volume, surfaces are basically two-dimensional and have an area. Despite this, surfaces are frequently referred to by the names of the regions they surround. Differential geometry studies the characteristics of surfaces, particularly the concept of curvature.

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Answer:

a₆ = 243

Step-by-step explanation:

There is a common ratio between consecutive terms , that is

3 ÷ 1 = 9 ÷ 3 = 3

This indicates the sequence is geometric with nth term

\(a_{n}\) = a₁ \(r^{n-1}\)

where a₁ is the first term and r the common ratio

Here a₁ = 1 and r = 3 , then

a₆ = 1 × \(3^{5}\) = 1 × 243 = 243

Answer:

54

Step-by-step explanation:

see attached

Answer:

The investment firm's total profit is $4,000

Step-by-step explanation:

The Profit from Company A = 11% * $8,000

= 11 * $8,000/100

= $880

The Profit from Company B = 13% * $24,000

= 13 * $24,000/100

= $3,120

The total profit = $880 + $3120

= $4,000

Thus, the investment firm's total profit is $4,000

The domain and the range of the graphare

From the question, we have the following parameters that can be used in our computation:

The graph

The above graph is a quadratic function

The rule of an quadratic function is that

The domain is the set of all real numbers

This means that the input value can take all real values

However, the range is always greater than the constant term

In this case, it is -2

So, the range is y > -2

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The complex numbers being added in this problem are given as follows:

A complex number is a number that is composed by a real part and an imaginary part, as follows:

z = a + bi.

In which:

The number z1 has a real part of 2 and an imaginary part of -1, hence it is given as follows:

z1 = 2 - i.

The number z2 has a real part of -1 and an imaginary part of -3, hence it is given as follows:

z2 = -1 - 3i.

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Answer:

hope this helps you

have a great day

Answer: 30

Step-by-step explanation:

270 divided by 9

Answer: B

Step-by-step explanation:

Answer:

Step-by-step explanation:

The ratio of the lengths of two corresponding sides of two similar polygons is called the scale factor

Answer:

  $22

Step-by-step explanation:

Given a table of popcorn volumes and prices, you want to know a reasonable price for 60 ounces of popcorn.

Plotting the given sizes and costs on a graph, we see that the relationship is linear. Using the two points (size, cost) = (10, 6) and (20, 8), we find the relation to be ...

  m = (y2 -y1)/(x2 -x1) = (8 -6)/(20 -10) = 2/10 = 0.2 . . . . slope

  b = y1 -m(x1) = 6 -0.2(10) = 4 . . . . . . y-intercept

Then the equation of the line is ...

  y = mx +b

  y = 0.2x +4

Using x=60, we find the corresponding price is ...

  y = 0.2(60) +4 = 12 +4 = 16

A consistent price is $16 for a 60-ounce container of popcorn.

__

Additional comment

The price equation suggests a fixed cost ($4) and a volume-related cost ($0.20 per ounce).

Answer:

1

Step-by-step explanation:

Given,

Mass ( m ) = 500 g

Volume ( V ) = 500 ml

To find : Density ( D ) = ?

Formula : -

D = m / V

D = 500 / 500

D = 1 g/ml

Hence,

1 g/ml is the density of a substance that has a mass of 500 g and a volume of 500mL.