a coin has an unknown probability of landing heads. in flips, it happens to land heads times. we estimate to be . what margin of error gives (approximately) confidence?

the answer is number b which is rhombus

Answer:

rhombus

Step-by-step explanation:

rhombus

a parallelogram with opposite equal acute angles, opposite equal obtuse angles, and four equal sides.

1) isolate

2a) opposite

2b) sign

1) delete

2a) flip

2b) reciprocal

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1) isolate

2a) opposite

2b) sign

1) delete

2a) flip

2b) reciprocal

Answer:

the second number

Step-by-step explanation:

EX:  ( -3, 2 ) the 2 would lie on the y axis because its the second number the x axis always comes 1st and the y axis 2nd

Answer:

Common Ratio = 2.5

Step-by-step explanation:

Given

Points: (1, 1), (2, 2.5), (3, 6.25)

Required

Determine the common ratio

The points can be rewritten as:

x --- f(x)

1 ---- 1

2 --- 2.5

3 ---- 6.25

The data under the x column are the domain of the function and in this case,  they are not needed;

To calculate common ration, Lena should use data in function f(x) column

Common ratio is calculated by dividing a term by the previous term;

Hence;

Common Ratio = 2.5/1 or 6.25/2.5

Common Ratio = 2.5 or 2.5

Notice that, the results are the same;

Hence, the usable common ratio is 2.5

Answer:

c

Step-by-step explanation:

edge2020

Answer:

3.14

Step-by-step explanation:

Answer:

3.14

Step-by-step explanation:

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To display formulas, one way is to press the key combination [Ctrl]+[] (grave accent).

The key combination [Ctrl]+[] is used to display formulas.

This is a useful feature for checking and editing formulas without altering the calculated values.

By pressing [Ctrl]+[], users can easily view the underlying formulas and ensure their accuracy.

This key combination provides a convenient way to switch between the formula view and the results view, enabling efficient editing and troubleshooting of complex calculations.

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f(x) and g(x) are not closed under subtraction because when subtracted, the result will be a polynomial, the correct option is B.

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.

Given f(x) and  g(x) two polynomial functions in the standard form of the polynomial,

According to Closure Property, when something is closed, the output will be the same as the input.

The polynomials f(x) and g(x) can be seen in the image.

On subtracting the two polynomials, the output will be a polynomial and so it is closed under subtraction.

Therefore, The reason why f(x) and g(x) are not closed under subtraction is that the outcome of subtraction will be a polynomial, making option B the best choice.

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Complete question:

Answer:

The answer is 36 adults and 88 children.

Step-by-step explanation:

The two equations are:

x+y=124 and 5x+3y=444

Using substitution method:

5x+3(124+x)=444

5x+372-3x=444

2x=72

x=36

5(36)+3y=444

180+3y=444

3y=264

y=88

The system of equations with no solutions is the second one:

3x - 7y = 22

4.5x - 10.5y = 44

When we have a system of linear equations, the only case where the system has no solutions is when both of the lines are parallel lines (thus, the lines never intercept).

So we need to identify the system of linear equations where the lines are parallel.

If you look at the second system of equations, we have:

3x - 7y = 22

4.5x - 10.5y = 44

We can multiply the first equation by 1.5 to get:

1.5*(3x - 7y) = 1.5*22

4.5x - 10.5y = 33

Then the system is:

4.5x - 10.5y = 33

4.5x - 10.5y = 44

We can see that these lines are parallel,and thus, this system has no solutions.

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Part A: The shaded region represents the feasible region where both inequalities are satisfied simultaneously. It is below the line x + 3y = 8 and above the line x + y = 2.

Part B: The point (8, 2) is not included in the solution area.

Part C: The point (3, 1) represents one feasible solution that meets the constraints of the problem.

Part A: The graph of the system of inequalities consists of two lines and a shaded region. The line x + 3y = 8 is a solid line because it includes the equality symbol, indicating that points on the line are included in the solution set. The line x + y = 2 is also a solid line. The shaded region represents the feasible region where both inequalities are satisfied simultaneously. It is below the line x + 3y = 8 and above the line x + y = 2.

Part B: To determine if the point (8, 2) is included in the solution area, we substitute the x and y values into the inequalities:

8 + 3(2) ≤ 8

8 + 6 ≤ 8

14 ≤ 8 (False)

Since the inequality is not satisfied, the point (8, 2) is not included in the solution area.

Part C: Let's choose a point in the solution set, such as (3, 1). This point satisfies both inequalities: x + 3y ≤ 8 and x + y ≥ 2. In the context of the real-world scenario, this means that Michelle can buy 3 servings of dry food (x = 3) and 1 serving of wet food (y = 1) with her $8 budget. This combination of dog food allows her to feed at least two dogs at the animal shelter while staying within her budget. The point (3, 1) represents one feasible solution that meets the constraints of the problem.

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Answer:

the answer would be 0 because 0+5=5

Answer:

C

Step-by-step explanation:

1/18 x³y + 7/18 xy²

1/18 xy (x² + 7y)

If MCAT scores are distributed normally with mean (μ) = 113 and variance (σ²) = 144 and a random sample of 27 participants is taken, then the standard error of the mean is 2.31. The correct answer is option 5.

To find the standard error of the mean, follow these steps:

Hence, option 5) 2.31 is the correct answer.

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Answer:

$-8

Step-by-step explanation:

Answer:

-8

Step-by-step explanation: because deposit means she puts in money and withdrawl means take out money

Answer:

y=-5

Step-by-step explanation:

Y= -5

Step-by-step explanation:

Given that, The 99% confidence interval of a population mean is (1,7). We need to find the 95% confidence interval.As the confidence interval becomes wider as the confidence level increases. Hence, the 95% confidence interval will have a greater range than the 99% confidence interval.Confidence interval can be calculated by the formula:Confidence Interval = $\overline{X}$ ± Zα/2 (σ/√n)Where, $\overline{X}$ is the sample mean.Zα/2 is the critical valueσ is the population standard deviationn is the sample sizeNow, Zα/2 for 99% confidence interval is 2.576 as per the normal distribution table.In the same way, Zα/2 for 95% confidence interval is 1.96.Converting the above formula for 95% confidence interval:1.96 = (1,7 - $\overline{X}$)/(σ/√n)On solving the above equation, we get: σ/√n = 0.2039σ = 0.2039 √n.....(1)Also, (1,7 - $\overline{X}$)/σ = 1.96....(2)Substituting equation (1) in equation (2), we get:(1,7 - $\overline{X}$)/ (0.2039√n) = 1.96On solving this equation, we get:$\overline{X}$ = 1.47 √n + 1.7...........(3)Now, for option (a), (b), (c) and (d), we need to verify which option satisfies the equation (3).Let's check for option (a):(2+6)/2 = 4............taking the average1.47 √n + 1.7 = 4n = 19.22 squaring both sidesn = 363.6Hence, option (a) is the correct answer.Write the answer in main part:The 95% confidence interval is (2,6).Explanation:On solving the equation, we get that the option (a) is correct. Therefore, the 95% confidence interval is (2,6).Conclusion:Therefore, option (a) (2,6) is the correct 95% confidence interval.

The 95% confidence interval for the population mean is given as follows:

c) (2,6).

The 99% confidence interval for the population mean is given as follows:

(1,7).

Hence the sample mean is given as follows:

(1 + 7)/2 = 4.

Meaning that the mean of the two bounds in the interval must be of 4.

The 95% confidence interval is narrower than the 99% confidence interval, hence, considering the mean of the bounds of 4, option c is the correct option for this problem.

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The equation in slope intercept form is C(h) = 50h+25  ,the total cost for 8 hours of work is $425 , and for 10 hours of work  is  $525.

In the question;

it is given that

the fixed charge of plumber = $25

charge for per hour of service = $50

the hours of service be "h"

and the total cost be "C"

according to the question

C(h) = 50h+25

the equation in the slope intercept form is C(h) = 50h+25

to find the total cost for 8 hours of work , put h=8

C(8) = 50(8) + 25

= 400+25

= 425

to find the total cost for 10 hours of work , put h=10

C(10) = 50(10) + 25

= 500+25

= 525

Therefore , total cost for 8 hours of work is $425 , and for 10 hours of work  is $525 .

The given question is incomplete , the complete question is

A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service. What will be the total cost for 8 hours of work? 10 hours of work?

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Weighted Mean = (90 × 25% + 79 × 20% + 82 × 10% + 70 × 15% + 85 × 15%) / (25% + 20% + 10% + 15% + 15%)

Unweighted Mean = (90 + 79 + 82 + 70 + 85) / 5

One student, Kyle, hasn't taken his final exam yet, but his marks in the first five categories are 90, 79, 82, 70, and 85. This problem requires determining the weighted mean for Kyle before the final exam and comparing it to the unweighted mean.

To calculate the weighted mean for Kyle before the final exam, we need to multiply each category's mark by its corresponding weight, sum them up, and divide by the total weight. For Kyle, the weighted mean would be calculated as follows:

Weighted Mean = (Knowledge × 25% + Application × 20% + Thinking × 10% + Culminating Project × 15% + Final Exam × 15% + Communication × 15%) / (Total Weight)

However, since Kyle hasn't written his final exam yet, we can exclude the Final Exam mark and its weight from the calculation. The weighted mean would then be:

Weighted Mean = (90 × 25% + 79 × 20% + 82 × 10% + 70 × 15% + 85 × 15%) / (25% + 20% + 10% + 15% + 15%)

To find the difference between the weighted mean and the unweighted mean, we need to calculate the unweighted mean by simply taking the average of the marks in the first five categories:

Unweighted Mean = (90 + 79 + 82 + 70 + 85) / 5

By comparing the weighted mean and the unweighted mean, we can evaluate how much the inclusion of weights for different categories affects Kyle's overall mark.

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in function notation, we get that the transformed function is:

g(x) = -2*f(x - 10) + 800

Here the parent function is:

f(x) = x^2

And the transformed function is the one graphed in the lower right side of the given image.

Notice that the y-intercept of the transformed function is y = 600.

The x-intercepts are x = -10 and x = 30

Then the polynomial is something like:

y = a*(x + 10)*(x - 30)

Using the fact that the y-intercept is y = 600, then:

600 = a*(0 + 10)*(0 - 30) = a*-300

600/-300 = a = -2

The transformed function is:

g(x) = -2*(x + 10)*(x - 30)

Expanding that:

g(x) = -2( x^2 + 10x - 30x - 300)

Completing squares we get:

g(x) = -2*(  x^2 - 20x - 300)

      = -2*(x^2 - 2*10*x - 300)

Now we can add and subtract 100, so we get:

-2*(x^2 - 2*10*x - 300 + 100 - 100)

-2*(  (x - 10)^2 - 400)

Finally, expanding that:

g(x) = -2*(x - 10)^2 + 800

Writing it in function notation, we get that the transformed function is:

g(x) = -2*f(x - 10) + 800

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The equation for C, in terms of t, representing the number of chocolates remaining in the box t days after Violet's birthday is C = 24 - 4t

Number of chocolate violet eats each night = 4

Number of chocolate originally in the box = 24

Number of chocolate remaining = C

Number of days after violet birthday = t

Number of chocolate remaining = Number of chocolate originally in the box - (Number of chocolate violet eats each night × Number of days after violet birthday)

C = 24 - (4 × t)

C = 24 - 4t

In conclusion, the equation which represents violet's remaining chocolate after her birthday is C = 24 - 4t

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\(\textit{sum of all interior angles in a polygon}\\\\ n\theta = 180(n~~ - ~~2) \begin{cases} n=\stackrel{\textit{number of}}{sides}\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=26 \end{cases}\implies (26)\theta =180(26~~ - ~~2) \\\\\\ 26\theta =180(24)\implies 26\theta =4320\implies \theta =\cfrac{4320}{26}\implies \theta \approx 166.15^o\)

To find the common difference for the arithmetic sequence formed by the series sums s2, s5, and s7, let's analyze the given information.

The sum of the second term (s2), fifth term (s5), and seventh term (s7) themselves form an arithmetic sequence.

Let's denote the second term as a + 2d, the fifth term as a + 5d, and the seventh term as a + 7d, where 'a' is the first term and 'd' is the common difference.

Using the arithmetic sequence formula for the sum of terms, we have:

s2 = (2/2) * (2a + (2-1)d) = 2a + d

s5 = (5/2) * (2a + (5-1)d) = 5a + 6d

s7 = (7/2) * (2a + (7-1)d) = 7a + 12d

Since the sums s2, s5, and s7 themselves form an arithmetic sequence, we can express their differences:

s5 - s2 = (5a + 6d) - (2a + d) = 3a + 5d

s7 - s5 = (7a + 12d) - (5a + 6d) = 2a + 6d

Now, equating the differences, we have:

3a + 5d = 2a + 6d

Simplifying the equation, we find:

a = d

Therefore, the common difference for the arithmetic sequence formed by the series sums s2, s5, and s7 is 'd'.

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Answer:

b

Step-by-step explanation:

Since there is one value of  y  for every value of  x  in  (1,2),(2,3),(3,4),(4,5),(5,6), this relation is a function.

The relation is a function.

Answer:

A=50, B=4

A is directly proportional to the square root of B

name the constant 'k'

A = k*B^0.5

50 = k*4^0.5

50=2k

k=25

=> A =25 root B

i.e, A = 25*B^0.5 (The answer should be written the way it is written in the attached picture)

A written in terms of B is 25√B.

In direct proportion if one quantity increases the other quantity also increases and vice versa.In case of inverse proportion when one quantity increases the other quantity decreases and vice versa.

According to the given question A is directly proportional to the square root of B.

∴ A = K\(\sqrt{B}\)

Given when A = 50 B = 4.

50 = K\(\sqrt{4}\)

50 = 2k

k = 25.

So, A =25√B.

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The equation of the ellipse in standard form is \(\frac{x^2}{279841} + \frac{y^2}{203401} = 1\) and the length of the ellipse corresponds to twice the value of the semi-major axis and width of the ellipse corresponds to twice the value of the semi-minor axis.

To calculate the  equation of the ellipse in standard form, we need to determine the values of major and minor axis. The major axis corresponds to the longer dimension of the ellipse which according to the question is 1058 ft. The minor axis corresponds to the shorter dimension of the ellipse which according to the question is 902 ft.

The equation of the standard form of the ellipse is given as :

\(\frac{(x - h)^2}{a^2} + \frac{(y - k)^2}{b^2} = 1\)

where, (h, k) is the center of the ellipse, a is the semi major axis while b is semi minor axis. The origin is at the center of President's Park South, so the center of the ellipse is (0, 0).

So, the equation becomes:

\(\frac{(x - 0)^2}{(1058/2)^2} + \frac{(y - 0)^2}{(902/2)^2} = 1\)

\(\frac{x^2}{529^2} + \frac{y^2}{451^2} = 1\)

\(\frac{x^2}{279841} + \frac{y^2}{203401} = 1\)

The length and width of the ellipse determine the values of the semi-major axis (a) and the semi-minor axis (b) in the equation. So, the length of the ellipse corresponds to twice the value of the semi-major axis and width of the ellipse corresponds to twice the value of the semi-minor axis.

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Answer:

2 7/12

Step-by-step explanation:

Convert 1 5/6 to a mixed number first.

11/6 + 3/4

Find a common denominator

24 is a common denominator

So 44/24 + 18/24

62/24

Simplify

2 7/12

Answer: 11

Step-by-step explanation:

First, Area of Rectangle is B x H

So, if b x h

      A=4 x 2 and 3/4

      = 11/4

4 x 11/4 = crossout the 4(s) left with 11/1 or 11

\(\huge\text{Hey there!}\)

\(\huge\textsf{What is the area of rectangle formula?}\)

\(\rm{\bold{l}ength\times \bold{w}idth = \bold{a}rea}\)

\(\huge\textsf{What should your equation look like?}\)

\(\mathsf{4 \ in\times 2\dfrac{3}{4} \ in = area}\)

\(\huge\textsf{How do we solve for this equation/question?}\)

\(\mathsf{4 \times 2\dfrac{3}{4}= area}\)

\(\mathsf{4\times \dfrac{2\times4 + 3}{4} = area}\)

\(\mathsf{4\times\dfrac{8 + 3}{4} = area}\)

\(\mathsf{4\times\dfrac{11}{4} = area}\)

\(\mathsf{\dfrac{4}{1}\times \dfrac{11}{3} = area}\)

\(\mathsf{ \dfrac{4\times11}{1\times4} = area}\)

\(\mathsf{ \dfrac{44}{4} = area}\)

\(\mathsf{11 = area}\)

\(\huge\textsf{What is the area/result?}\)

\(\large\text{The answer should be: \boxed{\mathsf{11}}}\large\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

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