A sample of n = 5 scores has m = 20 and s2 = 4. what is the sample standard deviation?

It should be noted that z^4 will be -32 in rectangular form.

Based on the information, z = r(cos θ + i sin θ), and provided positive integer n, then it is implied that:

z^n = r^n (cos nθ + i sin nθ)

In this instance, we need to solve for z^4 in rectangular form when z = -2 - 2i. Firstly, we must calculate |z| and arg(z):

|z| = √((-2)^2 + (-2)^2) = 2√2

arg(z) = arctan(-2/-2) = π/4

Leveraging De Moivre's theorem, we can effectively deduce the value of z^4 as:

z^4 = (2√2)^4 (cos (4π/4) + i sin (4π/4))

= 32 (cos π + i sin π)

= -32

Concludedly, z^4  resolved in rectangular form is -32.

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Answers:

=====================================

Explanation:

Answer:

x = 1.523

Step-by-step explanation:

Given
\(\quad\quad e^{x-1} = 3^{2-x}\)

we are asked to solve for x

Take natural logs on both sides:
\(\ln \left(e^{x-1}\right)=\ln \left(3^{2-x}\right)\\\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right)}\\\\\ln \left(e^{x-1}\right)=\left(x-1\right)\ln \left(e\right)\\\\\rightarrow \left(x-1\right)\ln \left(e\right)=\ln \left(3^{2-x}\right)\)substitute on left side of original eqn

\(\ln \left(3^{2-x}\right)=\left(2-x\right)\ln \left(3\right)\\\\\)

Therefore we get
\(\left(x-1\right)\ln \left(e\right)=\left(2-x\right)\ln \left(3\right)\)

But ln(e) = 1

So we get
\(x - 1 = (2-x)\;\ln(3)\\\\\)

So the expression becomes

\(x - 1 = (2- x) \ln(3)\\\\x - 1 = 2\ln(3) - x \ln(3)\)

Add \(x\ln(3)\) on both sides:

x + x ln(3) - 1 = 2ln(3)

Add 1 to bot sides:
x + x ln(3) = 2ln(3) + 1

x(1 + ln(3)) = 2 ln3 + 1

ln(1 + \ln(3)) = 2.09861

2ln(3) + 1 =3.1972

So we get

x(2.0986) = 3.1972

x = 3.1972/2.0986 = 1.52349

Rounded to 3 decimal places, the answer is 1.523

Answer:

start memoring formula

Answer:

40000m\(^{2}\)

Step-by-step explanation:

The reason they chose a different measuring unity is to express a big number to convince ppl that that the building developers are taking alot of land. and the should be stopd.

The measure of tangent angle QIA is 180 degrees.

m/QIA = 180 degrees.

If IA is the diameter of the circle, it means that angle QIA is a right angle (90 degrees). Since QN is tangent to the circle at point I, it is perpendicular to the radius IA at that point.

Therefore, in triangle QIA, we have a right angle at Q and a right angle at I. This implies that angle IQA is also 90 degrees.

In a right triangle, the sum of the angles is 180 degrees. Since angles QIA and IQA are both right angles, the remaining angle in the triangle, angle QAI, must be:

180 degrees - 90 degrees - 90 degrees = 0 degrees

Angle QAI is a degenerate angle, which means it has a measure of 0 degrees. Therefore, the measure of tangent angle QIA is 180 degrees.

To summarize, m/QIA = 180 degrees.

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If the triangle has sides with lengths of 49 cm, 68 cm, and 92 cm , then the triangle is not a Right Triangle .

If the Triangle is a right triangle , then the sides of the triangle should satisfy the Pythagoras Theorem which states that the sum of the square of two smaller sides is equal to square of longest side(hypotnuse) .

that means ⇒ (Hypotnuse)² = (Perpendicular)² + (Base)² ;

Substituting the longest value as 92 and other values as 49 and 68 ,

we get ;

⇒ 92² = 49² + 68² ;

⇒ 8464 = 2401 + 4624 ;

⇒ 8464 ≠ 7025 .

the sides 49 cm, 68 cm, and 92 cm do not satisfy Pythagoras theorem ,

Therefore , the side lengths do not form a Right Triangle .

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401.22

Hope this helps!

May I have brainliest please? :D

Answer:

401.22

Step-by-step explanation:

You just regularly multiply.....

Value of g(-2) = -8

hope it helps you.....

Answer:

-12

Step-by-step explanation:

-4(-2)^2 -3(-2) -2

-4(4) +6 -2

-16 +6 -2

-12

Answer:

Solution is in attached photo.

Step-by-step explanation:

Answer:d

Step-by-step explanation:

Answer:

Go to desmos graphing calc

Step-by-step explanation:

Answer:

Step-by-step explanation:

The centroid of the region bounded by the curves y = 12x and y = √x is (72,1.88).

To find the centroid of the region bounded by the given curves y = 12x and y = √x, the following steps should be followed.

Step 1: Sketch the region bounded by the two curves to have an idea of what the region looks like.

Step 2: Determine the area of the region bounded by the two curves. The area A can be computed by evaluating the definite integral of the difference between the two functions. \(\[\int\limits_{0}^{144} (\sqrt{x}-12x)dx\]\)  We solve for this integral below.\(\[\int\limits_{0}^{144} (\sqrt{x}-12x)dx = 64 - 1728 + \frac{2}{3}\sqrt{6}\] \[\int\limits_{0}^{144} (\sqrt{x}-12x)dx = -1663.30\]\)

Step 3: To find the centroid of the region, we need to determine the x and y coordinates of the centroid. The x-coordinate of the centroid is given by the formula below.

\(\[x = \frac{1}{A}\int\limits_{a}^{b} \frac{1}{2}(y_1^2-y_2^2)dx\]\)

where A is the area of the region, and y1 and y2 are the upper and lower functions, respectively. Substituting values, we obtain

\(\[x = \frac{1}{-1663.30}\int\limits_{0}^{144} \frac{1}{2}((\sqrt{x})^2-(12x)^2)dx\]  \[x = 72\]\)

 The y-coordinate of the centroid is given by the formula below.

\(\[y = \frac{1}{2A}\int\limits_{a}^{b}(y_1+y_2)\sqrt{(y_1-y_2)^2+4dx}\]\)

 Substituting values, we obtain \(\[y = \frac{1}{2(-1663.30)}\int\limits_{0}^{144}(12x+\sqrt{x})\sqrt{(\sqrt{x}-12x)^2+4dx}\]  \[y = 1.88\]\)

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You must use the t-distribution table when working problems when the population standard deviation (σ) is not known and the sample size is small (n<30). General Correct Rule: If σ is not known, then using t-distribution is correct. If σ is known, then using the normal distribution is correct.

Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

In graphical form, the normal distribution appears as a "bell curve".

The normal distribution is the proper term for a probability bell curve.

In a normal distribution the mean is zero and the standard deviation is1. It has zero skew and a kurtosis of 3.

Normal distributions are symmetrical, but not all symmetrical distributions are normal.

The t-distribution describes the standardized distances of sample means to the population mean when the population standard deviation is not known, and the observations come from a normally distributed population.

Therefore,

You must use the t-distribution table when working problems when the population standard deviation (σ) is not known and the sample size is small (n<30). General Correct Rule: If σ is not known, then using t-distribution is correct. If σ is known, then using the normal distribution is correct.

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The solutions to the quadratic equation x² = -7x - 8 are x equals  \(\frac{-7 - \sqrt{17}}{2}, \frac{-7 + \sqrt{17}}{2}\).

Given the quadratic equation in the question:

x² = -7x - 8

To find the solutions of the quadratic equation x² = -7x - 8, we can rearrange it into standard quadratic form, which is ax² + bx + c = 0, and apply the quadratic formula.

x² = -7x - 8

x² + 7x + 8 = 0

a = 1, b = 7 and c = 8

Plug these into the quadratic formula: ±

\(x = \frac{-b \± \sqrt{b^2 -4(ac)}}{2a} \\\\x = \frac{-7 \± \sqrt{7^2 -4(1*8)}}{2*1} \\\\x = \frac{-7 \± \sqrt{49 -4(8)}}{2} \\\\x = \frac{-7 \± \sqrt{49 - 32}}{2} \\\\x = \frac{-7 \± \sqrt{17}}{2} \\\\x = \frac{-7 - \sqrt{17}}{2}, \frac{-7 + \sqrt{17}}{2}\)

Therefore, the values of x are \(\frac{-7 - \sqrt{17}}{2}, \frac{-7 + \sqrt{17}}{2}\).

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Answer:

the difference between -4 and 1 is 3. distance is always positive.

8 less than 2, is -6. (I'm pretty sure)

13 more than -1 should be 12.

to get 2 add 8. -6+8 is 2.

to get -3 subtract 10 from 7.

Toronto is 12°C cooler than Tokyo.

Step-by-step explanation:

hope this helps

The maximum Number of  scholars in each row is 12. This means that the  scholars can be arranged in rows with an equal number of  scholars, and each row can have a  outside of 12  scholars.

To find the maximum number of  scholars in each row, we need to determine the  topmost common divisor( GCD) of the total number of  scholars in each section. The GCD represents the largest number that divides all the given  figures unevenly.  

Given that there are 24, 36, and 60  scholars in the three sections, we can calculate the GCD as follows    Step 1 List the  high factors of each number  24 =  23 * 31  36 =  22 * 32  60 =  22 * 31 * 51    

Step 2 Identify the common  high factors among the three  figures  Common  high factors 22 * 31    Step 3 Multiply the common  high factors to find the GCD  GCD =  22 * 31 =  4 * 3 =  12  

 thus, the maximum number of  scholars in each row is 12. This means that the  scholars can be arranged in rows with an equal number of  scholars, and each row can have a  outside of 12  scholars.

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Answer:

j=38

Step-by-step explanation:

j/-2 +7=-12,  subtract 7 from both sides of the equation and you get j/-2 = -19, then you multiply j/-2 by -2/1  and multiply -19 by -2/1 to get j= 38

The difference between the percentage of students enrolled in propel who had a GPA of 3.0 or greater and the percentage of students not enrolled in propel who had a GPA of 3.0 or greater is 12%.

There are 61 students enrolled in Propel who had a GPA of 3.0 or greater and 48 students enrolled in Propel who had a GPA of less than 3.0, so there are a total of 61 + 48 = 109 students enrolled in Propel.

The percentage of students enrolled in Propel who had a GPA of 3.0 or greater is 61 100% 109 × ≈ 55.96% or about 56%. There are 95 students who are not enrolled in Propel who had a GPA of 3.0 or greater and 123 students not enrolled in Propel who had a GPA of less than 3.0, so there are a total of 95 + 123 = 218 students who are not enrolled in Propel.

The percentage of students not enrolled in Propel who had a GPA of 3.0 or greater is 95 100% 218 × ≈ 43.58% or about 44%.

Therefore, the difference, to the nearest whole percent, between the percentage of students enrolled in Propel who had a GPA of 3.0 or greater and the percentage of students not enrolled in Propel who had a GPA of 3.0or greater is 56% − 44% = 12%.

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False. Constant sum scales produce interval scale data, not ratio scale data. In constant sum scales, respondents allocate a fixed number of points among a set of attributes, reflecting their relative importance.

This results in interval scale data where the differences between points are meaningful, but there is no true zero point or absolute zero, which is a key characteristic of ratio scale data.

A ratio scale is a type of measurement scale that has an absolute zero point, meaning that there is a true zero point on the scale that indicates the absence of the attribute being measured. For example, weight and height are ratio scales, where zero weight or height indicates a complete absence of the attribute being measured.

On the other hand, constant sum scales are a type of scale that requires respondents to allocate a fixed total amount among several attributes or options based on their perceived importance or value. This type of scale does not have an absolute zero point, and the scores are not based on the actual quantity of the attribute being measured. For example, constant sum scales are commonly used in marketing research to measure the relative importance of product features or benefits.

As such, constant sum scales do not produce ratio scale data. Instead, they produce interval scale data, where the scores are based on the relative distances between the values on the scale, but there is no true zero point.

Understanding the properties of different measurement scales is important for selecting the appropriate scale for a particular research question and for interpreting and analyzing the data collected using the scale.

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If there is a picture could you please add it to your question?

It will help me find the correct anwser faster for you!

They used 33/100 of their money on equipment which means if they have a budget of 900 dollars they used...

900*33/100=9*33=297 dollars on equipment.

Answer:

Using Words: The total area of the house and deck is given by the sum: 40x20 + x(13x) .

Using Symbols: The total area of the house and deck is given by the sum: 800 + 13x^2 ft².

Step-by-step explanation:

Answer:

y = 5

Step-by-step explanation:

40=8y

this is one step equation so you need to divide both sides by 8 to solve for y

40/8 = y

y = 5

To put the fractions 2/3, 3/5, and 7/10 in order from smallest to largest, we need to compare them using a common denominator. The common denominator for 3, 5, and 10 is 30. So, we need to convert each fraction to an equivalent fraction with a denominator of 30.

For the first fraction, 2/3, we can multiply the numerator and denominator by 10 to get an equivalent fraction with a denominator of 30:

2/3 = (2/3) x (10/10) = 20/30

For the second fraction, 3/5, we can multiply the numerator and denominator by 6 to get an equivalent fraction with a denominator of 30:

3/5 = (3/5) x (6/6) = 18/30

For the third fraction, 7/10, we can multiply the numerator and denominator by 3 to get an equivalent fraction with a denominator of 30:

7/10 = (7/10) x (3/3) = 21/30

Now we can put the fractions in order from smallest to largest:

18/30 < 20/30 < 21/30

So the order from smallest to largest is:

3/5 < 2/3 < 7/10

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The mean absolute deviation for the data-set in this problem is given as follows:

C. 3 and 5/9.

The dot plot shows the number of times that each observations appears in the data-set.

Considering the dot plot, the mean of the data-set is given as follows:

Mean = (2 x 2 + 1 x 3 + 1 x 5 + 1 x 9 + 3 x 10 + 1 x 12)/(2 + 1 + 1 + 1 + 3 + 1)

Mean = 7.

The sum of the deviations is given as follows:

Hence the mean absolute deviation in this problem is given as follows:

MAD = (10 + 4 + 2 + 2 + 9 + 5)/(2 + 1 + 1 + 1 + 3 + 1)

MAD = 3.55.

Hence option C is the correct option for this problem.

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Answer:

a = 1/2 • c

b = (root3)/2 • c

Step-by-step explanation:

30°-60°-90° triangle is a Special Right Triangle. There's a great short cut to find the sides if you know any one side. No trig or Pythagorean Theorem necessary (but that is where the short cut comes from)

The hypotenuse is double the short leg OR the short leg is half the hypotenuse. The long leg is the short leg times the sqroot3. Your question asked for everything in terms of c (the hypotenuse) see image. We can use these shortcuts to find your answer. See image.

Answer:

your answer is C

Step-by-step explanation:

your answer is C because I'm smartt

Answer:

C. -1/6

Step-by-step explanation:

multiply the problem in parentheses to get 12/36

simplify the fraction to 1/3 and multiply both fractions so they both have the common denominator of 6.

You now have -3/6 + 2/6 = -1/6

aww darn it