Here is a five-sided polygon. Show how you could use area-reasoning strategies—decomposing, rearranging, enclosing with a shape, etc.—to find the area of the polygon. (You only need to describe or show how the area could be found; it is not necessary to actually calculate the area.)

Answer:

uhhh is there one what area

Step-by-step explanation:

The "hypothesis of no change," "status quo," and "conventional wisdom" are all alternative names for the null hypothesis. Unless there is overwhelming evidence to the contrary, the null hypothesis is assumed to be correct.

H0: u = 1: u ≠ 1,400

When testing hypotheses with the P value, the null hypothesis is rejected if?

The evidence against the null hypothesis is stronger when the p-value is smaller (closer to 0).If the p-esteem is not exactly or equivalent to the predetermined importance level α, the invalid speculation is dismissed;The null hypothesis is not rejected otherwise.

A statement of expectation or prediction that will be tested by research is called a research hypothesis. Read up on the subject that interests you before coming up with your research hypothesis.

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Answer:

Step-by-step explanation:

Step 1:

Subtract total amount of git card from remanning balance.

90-64.98= $25.02

Step 2:

Divide $25.02 / 8.34= 3lbs

Hope that helps.

The original price of the car stereo system was $82.50. Let us consider the original price of the car stereo system to be `x`.

The sale price is given as $57.75

Discount given is 30%.

Percentage of discount = 30% = 30/100 = 0.3

We know that Discount = Original price × Percentage of discount

Applying this, we get:

Original price × 0.3 = x × 0.3= 0.3x

Sale price = Original price - Discount

= x - 0.3x

= 0.7x

Given that sale price was $57.75,0.7x = $57.75

Dividing by 0.7 on both sides, we get:x = $82.50

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Spaghetti noodles produced by Machine #42. True mean length of spaghetti noodles produced by Machine #42 denoted as "u". 40 randomly selected spaghetti noodles from Machine #42. Yes, the conditions for calculating a confidence interval for a population mean been met

The population of interest is all the spaghetti noodles produced by Machine #42. The parameter of interest, u, is the true mean length of the spaghetti noodles produced by Machine #42. The sample is the random sample of 40 noodles taken from Machine #42.

The conditions for calculating a confidence interval for the population mean have been met in the given scenario. The sample was taken at random, and it is assumed that the noodles in the sample are independent of each other. The sample size is larger than 30, allowing us to use the normal distribution to calculate the confidence interval. Although it is not known if the population of spaghetti noodle lengths is normally distributed, the sample size is large enough to use the central limit theorem, allowing us to assume that the sampling distribution of the sample mean is approximately normal. Therefore, we can proceed with constructing the confidence interval for the population mean.

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Answer: C. and F.

Step-by-step explanation:

Answer:

AD=26.5 cm, AB= 16.5 cm, CD= 16.5 cm, and BC= 26.5 cm

Step-by-step explanation:

2(AD)+2(AB)=86

AD=10+AB

2(10+AB)+2(AB)=86

20+2(AB)+2(AB)=86

4(AB)=66

(AB)=16.5 or 16 \(\frac{1}{2}\)

AD=10+16.5

AD= 26.5

Convenience sampling enables generalizations to a larger group and probability sampling is not "bad."

Any non-sampling technique where units are selected for the sample based on their accessibility to the researcher is called convenience sampling.

This can be due to geographical closeness, availability at a certain time, or participation in the study.

A non-random sampling technique is convenience sampling, also referred to as accidental sampling.

Convenience sampling is commonly used in qualitative and medical research initiatives.

In medical science, convenience sampling typically comprises selecting clinical cases or volunteers from a database of medical data that are accessible nearby (such as at a hospital).

Where it is practicable to do so, convenience sampling is often used in qualitative research in the social sciences and in education, even among groups like these students.

Therefore,

Convenience sampling enables generalizations to a larger group and probability sampling is not "bad."

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Answer:

Only the first one should be check-marked.

Step-by-step explanation:

Answer:

Already in simplilest form

\( {3x}^{2} - 4x - 12 = 0\)

\(a = 3\)

\(b = - 4\)

\(c = - 12\)

Formula:

\( \boxed{x = \dfrac{ - b \pm \: \sqrt{ {b}^{2} - 4ac} }{2a} }\)

Replacing:

\(x = \dfrac{ -( - 4) \pm \sqrt{ { (- 4)}^{2} - 4(3)( - 12)} }{2(3)} \)

Option: C).

The common ratio (r) = 8.8 ÷ 5 = 1.76The nth term is given by a × r^(n-1) = 5 × (1.76)^(n-1)2. First term = 16, common ratio = 3The second term is given by a × r^(1-1) = a = 16 × 3^(1-1) = 16 × 1 = 16To find the nth term, we use the formula a × r^(n-1) = 16 × 3^(n-1)3. Sixth term = 243, common ratio = -3The first term is given by a = 243 ÷ (-3)^(6-1) = 3The nth term is given by a × r^(n-1) = 3 × (-3)^(n-1)Therefore, the nth terms for the three given scenarios are:5 × (1.76)^(n-1)16 × 3^(n-1)3 × (-3)^(n-1)

A geometric progression (GP) is a sequence of numbers in which each term after the first is obtained by multiplying the preceding term by a fixed number known as the common ratio (r).The nth term of a geometric progression (GP) with first term (a) and common ratio (r) is given by a × r^(n-1). In order to find the nth term of the given geometric progression, we need to first determine the value of the common ratio (r) and the first term (a) for each of the three different scenarios given. Once we have these values, we can use the formula above to calculate the nth term for each scenario. 1. First term = 5, common ratio = 2/5To find the common ratio (r) we divide the second term by the first term.44 ÷ 5 = 8.8 (approx.)

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Answer:

11:55 is closest time time to mid night

Option D is correct, 12:03AM is the closet time to midnight.

Midnight is typically defined as the beginning of a new day, precisely at 12:00 AM.

In a 12-hour clock format, AM (ante meridiem) is used to represent the time before noon (from midnight to 11:59 AM), while PM (post meridiem) is used to represent the time after noon (from 12:00 PM to 11:59 PM).

12.06am is 6 minutes past midnight.

11.50am is 10 minutes from midday, or, if you prefer, 11 hours and 55 minutes past midnight.

12.03am is 3 minutes past midnight.

Hence,  the closet time to midnight is 12:03 AM.

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At a 99% "confidence-level", the margin-of-error is approximately 0.940.

To find the margin of error at a 99% confidence level, we can use the formula : Margin of Error = (Critical Value) × (Standard Error),

where the critical-value represents the number of standard-deviations corresponding to the desired confidence-level, and the standard-error is a measure of the variability in the sample.

First, We find the critical-value. Since we want 99% confidence-level, the remaining 1% is split evenly in the tails of the distribution, so each tail has an area of 0.5%.

The critical-value for 0.5% area is approximately 2.576,

Next, We calculate standard-error, which is "standard-deviation" divided by square-root of "sample-size" :

Standard Error = s/√(n)

= 2/√(30)

≈ 0.365

Now, We compute the margin of error:

Margin of Error = (Critical Value) × (Standard Error),

≈ 2.576 × 0.365

≈ 0.940

Therefore, the required margin-of-error is 0.940.

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The given question is incomplete, the complete question is

If n = 30, (x bar) = 44, and s = 2, Find the margin of error at a 99% confidence level (use at least three decimal places)

Answer:

The numbers are 3 and 17.

Step-by-step explanation:

Let a and b respectively represent the larger and smaller numbers. We have:

\(a =2b + 11\)

\(a + b = 7b- 1\)

Substitute the top equation into the bottom equation, solve for b, and then find a.

\(2b + 11 + b = 7b - 1\)

\(3b + 11 = 7b - 1\)

\(4b = 12\)

\(b = 3\)

\(a = 2(3) + 11 = 6 + 11 = 17\)

Answer:

Answer:

-3x - 12=-3(x+4)

Answer: positive 4

Step-by-step explanation:

Answer:

(-4,-1,1,9)

Step-by-step explanation:

The range of domain refers to the set of possible input values, of all the input values. hence the range is the set of possible output values.

the given function is g(x)= x to the 2nd power -2--------expressed mathematically is

\(g(x)= x^-2\)

The range of input values are (-2,-1,1,3)

what is expected of you is to put the input values as x in the given function and the output is the result.

so for -2

g(-2)=(-2)^-2=-(-2*-2)=-(4)=-4

the output is -4

so for -1

g(-1)=(-1)^-2=-(-1*-1)=-(1)=-1

the output is -1

so for 1

g(1)=(1)^-2=(-1*-1)=1

the output is 1

so for 3

g(3)=(3)^-2=(-3*-3)=9

the output is 9

Therefore all the outputs are (-4,-1,1,9) which is the range of the domain

The solutions of the equation 2cos(3x) = 1 in the interval [0, π) are x = π/9 and x = 5π/9.

Hi! To find all solutions of the equation 2cos(3x) = 1 in the interval [0, π):

First, we need to isolate cos(3x) by dividing both sides of the equation by 2:

cos(3x) = 1/2

Now, we need to find the values of x in the given interval that satisfy this equation. Since the interval is [0, π), we should find solutions for 3x in the range [0, 3π):

3x = cos^(-1)(1/2)

The inverse cosine of 1/2 gives two angles in the range [0, 3π): π/3 and 5π/3. To find the corresponding values of x, we need to divide these angles by 3:

x = (π/3)/3 = π/9
x = (5π/3)/3 = 5π/9

Therefore, the solutions of the equation 2cos(3x) = 1 in the interval [0, π) are x = π/9 and x = 5π/9.

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Answer:

linear relationship (or linear association) is a statistical term used to describe a straight-line relationship between two variables

Answer:

Below:

Step-by-step explanation:

A linear relationship (or linear association) is a statistical term used to describe a straight-line relationship between two variables. Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + b. Linear relationships are fairly common in daily life.

Hope it helps....

It's Muska...

Answer:

\(x=\frac{15+\sqrt{165} }{6}, \frac{15-\sqrt{165} }{6}\)

These should be the the two values for x

Explanation:

Answer:

the answer for this euqation is 23

Step-by-step explanation:

Answer:

or,v=14-9 ...v=5,so v=5

The long run behavior of the function f(x)=5(2)x+1 is that it approaches 1 as x approaches negative infinity and it approaches infinity as x approaches positive infinity.

The long-term behavior of the function f(x)=5(2)x+1 can be discovered by examining how the function behaves as x gets closer to negative and positive infinity.

As x→−[infinity], f(x) = 5(2)^ -∞+1 = 5(0)+1 = 1

As x approaches negative infinity, the value of the function approaches 1.

As x→[infinity], f(x) = 5(2)^ ∞+1 = 5(∞)+1 = ∞

As x approaches positive infinity, the value of the function approaches infinity.

As a result, the function f(x)=5(2)x+1 behaves in the long run in such a way that it approaches 1 as x approaches negative infinity and infinity as x approaches positive infinity.

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The variance of the given data set is 18603.39.

To find the variance of the given data set {4, 44, 404, 244, 4, 74, 84, 64}, follow these steps:

Step 1: First, we need to find the mean of the data set:

Mean = (4 + 44 + 404 + 244 + 4 + 74 + 84 + 64) / 8 = 120.5

Step 2: Next, we calculate the deviation of each data point from the mean:

(4 - 120.5) = -116.5

(44 - 120.5) = -76.5

(404 - 120.5) = 283.5

(244 - 120.5) = 123.5

(4 - 120.5) = -116.5

(74 - 120.5) = -46.5

(84 - 120.5) = -36.5

(64 - 120.5) = -56.5

Step 3: Now, we square each deviation:

\((-116.5)^2 = 13556.25\\(-76.5)^2 = 5852.25\\(283.5)^2 = 80322.25\\(123.5)^2 = 15252.25\\(-116.5)^2 = 13556.25\\(-46.5)^2 = 2162.25 \\(-36.5)^2 = 1332.25\\(-56.5)^2 = 3192.25\)(-116.5)^2 = 13556.25

Step 4: We add up all the squared deviations:

13556.25 + 5852.25 + 80322.25 + 15252.25 + 13556.25 + 2162.25 + 1332.25 + 3192.25 = 130223.75

Step 5: We divide the sum of the squared deviations by the number of data points minus 1 to get the variance:

Variance = 130223.75 / 7 = 18603.39 (rounded to two decimal places)

Therefore, the variance of the data set is 18603.39.

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The graph of the function f(x) = sin(1/2x) is attached accordingly. It is to be noted that it is erroneous to include an equal sign within the parenthesis, that is sin(1/2= x). Hence the correct function is f(x) = sin(1/2x).

A graphed function simply means drawing a graph that is representative of a mathematical function.

The task of the mathematician here is to first redefine the formula such that one can identify the:

The form to be used is:

a sin(bx - c) + d where

a = 1

b= 1/2

c =0

d =0.

The absolute value of the amplitude |a| is given as
Amplitude = 1

Using 2π/ |b|

Lets substitute b with 1/2

thus we have

2π/ |1/2|

= 4π

With the aid of the formula, c/b

Given that c = 0

Hence, c/b which is 0/1/2

Phase shift = 0

The vertical shift is simply given as zero (0)

Thus all the properties of the trigonometric function are:

Amplitude = 1

Period = 4π

Phase Shift = 0

Vertical Shift = 0

See the attached graph.

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Answer:

Nominal decisions can be broken into two distinct categories: dichotomous decisions and polychotomous decisions.

The solutions to the quadratic equation x² + 5x - 84 = 0 are -12 and 7.

The quadratic formula is expressed as;

\(x = \frac{-b \± \sqrt{b^2-4ac} }{2a}\)

Given the quadratic equation in the question;

x² + 5x - 84 = 0

Using the standard form ax² + bx + c = 0

a = 1

b = 5

c = -84

Plug these into the quadratic formula:

\(x = \frac{-5 \± \sqrt{5^2-4*1*-84} }{2*1}\\\\x = \frac{-5 \± \sqrt{25 + 336 } }{2}\\\\x = \frac{-5 \± \sqrt{361 } }{2}\\\\x = \frac{-5 \± 19}{2} \\\\x = \frac{-5 - 19}{2}\\\\x = \frac{-24}{2}\\\\x = -12\\\\And\\\\x = \frac{-5 + 19}{2}\\\\x = \frac{14}{2}\\\\x = 7\)

Therefore, the solutions are -12 and 7.

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On solving the provided question, we can say that the slope's the intersection points are: (20.698, 42.197) and (43.998,16.527), the transmitter is within range between those to points along the line.

A line's slope determines how steep it is. A mathematical equation for the gradient is called "gradient overflow" (the change in y divided by the change in x). The slope is the ratio of the vertical change (rise) between two points to the horizontal change (run) between those same two spots. When a straight line's equation is written as y = mx + b, the slope-intercept form of an equation is employed to express it. The y-intercept is located at a location where the line's slope is m, b is b, and (0, b). For instance, the slope of the equation y = 3x - 7 and the y-intercept (0, 7).The line's slope is m. b is b at the point where the y-intercept is, and (0, b). As an illustration, the equation y = 3x - 7 has a slope of 3, and its y-intercept is (0, 7).

city - north at (0,65)

city-east at (59,0)

Slope is m=(-65/59)

\(B= y - mx = 65 - (-65/59)(0) = 65\)

The equation of the line between the cities is y = (-65/59)x + 65

\(x^2 + ( (-65/50)x + 65) )^2 = 47^2\)

the intersection points are:

(20.698, 42.197) and (43.998,16.527)

The transmitter is within range between those to points along the line.

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Answer:

y= (x^2-3) + 2

Step-by-step explanation:

It is plus two on the end to go up 2 on the y axis since the question says up two units and in the parenthesis is where you can move the start of and line, exponential line, or parabola to the left or to the right. When in the parenthesis, if you do however many x's and whatever exponent there is if you plus it will go into the negatives, ot left, and minus will go positive, or right. Therefore the answer is y= (x^2-3) +2.

BTW, when writing exponents,  this: ^, is an exponent sign but working on certain platforms will allow you to write them like in the image, and if it can then you should write it like that.

Hope this helps!