which is the greatest among root 2, 3 root 4 and 4 root 3?

Answer:

5.75 feet tall

Step-by-step explanation:

The true statements about Initial Me and Monogram Mania are,

The two companies will cost the same if 130 T-shirts are purchased.

Initial Me charges $8 per T-shirt printed.

Monogram Mania charges less per T-shirt printed than Initial Me charges.

Graphical solutions of a system of equations are way of finding the intersection points of all the equations given.

A system with two or more than two equations has a solution only when they have a common intersection point.

By observing the graph we conclude the two companies will cost the same if 130 T-shirts are purchased as their individual graphs intersect each other.

The initial fee charged by Initial Me is $50 as the graph of Initial me is at $50 when the number of T-shirts purchased is zero.

Pratik should choose Initial Me for purchasing upto 130 T-Shirts after that

Monogram Mania cost less.

Initial me charges $8 per T-Shirt as the initial fee and the cost of 5 T-shirts is $90 of which $50 is the initial fee, Therefore $(90 - 50) = $40.

The cost of 10 T-shirts at Monogram Mania is $5 so it does cost less than Initial me.

The initial fee charged by Monogram Mania is $50.

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Answer: 407

Step-by-step explanation: Given :

                                  Thursday                Friday                

School play                  300                         x                        

Band concert               184                         250

To Find : value of x

Solution

Since we are given that there is an association

So,  

Thus the value of x is 407

Answer:

A,B, and E

Step-by-step explanation:

edge 2021

Answer:

B, D

Step-by-step explanation:

We can deduce from these findings that the actual population mean is variable probably lower and reject the null hypothesis that the population mean for body temperature is 98.6o.

In the context of a mathematical idea or experiment, a variable is something that can be altered. Frequently, a single symbol is used to symbolize a variable. Variables are frequently represented by the letters x, y, and z as abstract symbols.

The first thing I want to say is that it is a widespread misconception that the average body temperature is 98.6 degrees. Although the "normal" or average body temperature is frequently stated as 98.6 degrees Fahrenheit (or 37 degrees Celsius), this value is not true for everyone. The average body temperature may actually be lower than previously thought, hovering around 97.5–97.7 degrees Fahrenheit, according to study.

Here is the SPSS output for the one-sample t-test so that we can get back to the job at hand:

Descriptive Statistics

N       Mean      Std. Deviation   Std. Error Mean

25      97.528    0.694            0.139

One-Sample Test

Test Value = 98.6

t         df        Sig. (2-tailed)   Mean Difference

-5.238    24        .000              -1.072

We can deduce from these findings that the actual population mean is probably lower and reject the null hypothesis that the population mean for body temperature is 98.6o.

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Examining the word problem the correct option is C

To determine if the solution (29.5, $212.50) makes sense for the function c(x), we need to check if the input and output values are feasible.

The input value of 29.5 represents the number of students who went to the carnival. Since the number of students must be a whole number, 29.5 is not a feasible input value. Therefore, we can eliminate options A and D.

The remaining options are B and C. We need to check if the output value of $212.50 is feasible for the function c(x). Since we don't have any information about the carnival pricing or discounts for school groups, we cannot determine if this amount is reasonable or not.

Therefore, we can say that the correct answer is option C

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The modal lengths of the ribbons are 60 cm and 110cm.

If the length 110 is removed, the new model length would be 60 cm.

Mode refers to a value that appears most frequently in a data set. Mode is a measure of central tendency. 110 and 60cm occur twice in the dataset. Thus, they are the mode lengths.

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Notes:

Hi,

I don't really know what you're asking, so if you could clarify, that would be great. Thanks!

(Do you want me to simplify the equation? Find out what x is?)

- 201600823

Answer:

none of the above

Step-by-step explanation:

3(x − 4)² +6 = 0

3(x − 4)² = -6 / : 3

(x − 4)² = -2

x² - 8x + 16 = -2

x² - 8x + 16 + 2 = 0

x² - 8x + 18 = 0

D = b² - 4ac = (-8)² - 4 * 1 * 18 = 64 - 72 = -8 < 0

Since the discriminant is less than zero, this quadratic equation has no solutions, the graph would not cross the x-axis and therefore have no zeros.

Answer:

Step-by-step explanation:

a. The range of G is the set of possible values that G can take. G represents the distribution over the number of girls chosen, so G can take any value between 0 and 2, inclusive. That is, the range of G is {0, 1, 2}.

b. To give the distribution over the random variable G, we need to determine the probability of each possible value of G.

Let's consider each possible value of G in turn:

If no girls are chosen (G=0), then both representatives must be boys. The probability of choosing a boy on the first draw is 3/10, and the probability of choosing another boy on the second draw is 2/9 (since there are only 2 boys left). Therefore, the probability of G=0 is (3/10) * (2/9) = 1/15.

If one girl is chosen (G=1), then one representative must be a girl and the other must be a boy. There are two ways this can happen: either the girl is chosen first and then the boy, or the boy is chosen first and then the girl. The probability of choosing a girl on the first draw is 7/10, and the probability of choosing a boy on the second draw is 3/9 (since there are 3 boys left). The probability of choosing a boy on the first draw is 3/10, and the probability of choosing a girl on the second draw is 7/9 (since there are 7 girls left). Therefore, the probability of G=1 is (7/10) * (3/9) + (3/10) * (7/9) = 14/45.

If two girls are chosen (G=2), then both representatives must be girls. The probability of choosing a girl on the first draw is 7/10, and the probability of choosing another girl on the second draw is 6/9 (since there are 6 girls left). Therefore, the probability of G=2 is (7/10) * (6/9) = 7/15.

Therefore, the distribution over the random variable G is:

G=0 with probability 1/15

G=1 with probability 14/45

G=2 with probability 7/15

w=L+15

p=(L+w)

150cm=L+L+15

150cm=2L+15

2L=150cm-15

2L=135cm

2L÷2=135cm÷2

L=67.5

w=67.5+15

w=82.5

Spherical harmonics are an integral part of quantum mechanics. They describe the shape of the orbitals, which electrons occupy in atoms. Moreover, the spherical harmonics provide the angular distribution of a wave in spherical coordinates. In 3D, the spherical harmonics can be written as:

Ylm(θ, φ) = √(2l + 1)/(4π) * √[(l - m)!/(l + m)!] * Plm(cosθ) * e^(imφ)

Here, l and m are known as the angular quantum numbers. They define the shape and orientation of the orbital. Plm(cosθ) represents the associated Legendre polynomial, and e^(imφ) is the exponential function. The spherical harmonics have various forms, including:

Y1,1 = -Y1,-1 = 1/2 √(3/2π) sinθe^(iφ)

Y1,0 = 1/2 √(3/π)cosθ

Y2,2 = 1/4 √(15/2π)sin²θe^(2iφ)

Y2,1 = -Y2,-1 = 1/2 √(15/2π)sinθcosφ

Y2,0 = 1/4 √(5/π)(3cos²θ-1)

Y0,0 = 1/√(4π)

The spherical harmonics have various applications in physics, including quantum mechanics, electrodynamics, and acoustics. They play a crucial role in understanding the symmetry of various systems. Hence, the spherical harmonics are an essential mathematical tool in modern physics. Thus, this is how one can show another form for spherical harmonics.

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Answer:

-2 4/5 + (-2/5)=5.2

Step-by-step explanation:

The integer value of h[14] is 0 (since 1/182 is less than 0.5).

To find the response h[n] of the given system using Z-transform, we can first take the Z-transform of the given difference equation and solve for H(z), which is the Z-transform of h[n].

Taking the Z-transform of the given equation, we get:

Y(z)(z² - 2z + 2) = X(z)

Solving for H(z), we get:

H(z) = X(z) / (z² - 2z + 2)

Now, to find the value of h[n] when n = 14, we can use the inverse Z-transform. However, since the initial conditions are all zero, we can simply evaluate the expression for h[n] as:

h[14] = 1 / (14² - 2(14) + 2)

Simplifying this expression, we get:

h[14] = 1 / 182


The given difference equation represents a second-order linear time-invariant system, which can be solved using Z-transform. By taking the Z-transform of the given equation and solving for H(z), we obtain the Z-transform of the system's impulse response, which is h[n].

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Answer: -8

Step-by-step explanation:

i did the math

Answer:

X= -8

Step-by-step explanation:

2(3X+8)=-36+4

6X+16= -32

6X= -32-16

6X= -48

X= -48/6

X= -8

12 books divided by 8 months = 1.5 books per month

hope it helps:))

The correct option is (a). The other options are incorrect because the given series satisfies all the conditions of the alternating series test, and thus, the test is applicable.

The given series is as follows: n+1
(-1)
(n +1)
7t
ns1

An alternating series test is a significant tool for determining whether or not a given series converges. A series is said to be convergent if the sequence of partial sums converges to a finite limit, and divergent otherwise. For the alternating series test to apply to a series, there must be the following three conditions: The series must have alternating terms, meaning that every other term is negative. The sequence of absolute values of the terms of the series must be monotonically decreasing, meaning that the absolute values of each successive term must be smaller than the preceding term's absolute value. The sequence of absolute values must approach zero in the limit. Thus, it can be observed that for the given series, the first two conditions are met. Now, to check the third condition, we must calculate the limit of the terms.

Let us take an=1/(n+1)7tnSince lim an=0, the series passes the third test as well.

Thus, we can apply the alternating series test to the given series. By the alternating series test, we have that the series converges. Thus, the correct option is (a). The other options are incorrect because the given series satisfies all the conditions of the alternating series test, and thus, the test is applicable. Thus, we can safely conclude that option (a) is correct.

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Selection of machines is persons choice and not arranged specifically, thus we will use Combination.

⇒ 20C5

⇒ 20!/5!(20-5)!

⇒ 15504

Use combination

total ways

\(\\ \rm\dashrightarrow ^nC_r=\dfrac{n!}{r!(n-r)!}\)

\(\\ \rm\dashrightarrow ^{20}C_5\)

\(\\ \rm\dashrightarrow \dfrac{20!}{5!15!}\)

\(\\ \rm\dashrightarrow \dfrac{20(19)(18)(17)(16)(15!)}{5(4)(3)(2)(15!}\)

\(\\ \rm\dashrightarrow 15504\)

The solution to the system is x1 = 8, x2 = 1, and x3 = -1.

To solve the systems, we will use the method of elimination. This method involves multiplying one or both equations by a constant in order to eliminate one of the variables.

First, we will eliminate x1 from the first and second equations by multiplying the first equation by -1 and then adding the two equations together:
-1(x1 - 3x2) = -1(5)
-x1 + 3x2 = -5

-x1 + x2 + 5x3 = 2
2x2 + 5x3 = -3
Next, we will eliminate x2 from the second and third equations by multiplying the second equation by -1 and then adding the two equations together:
-1(-x1 + x2 + 5x3) = -1(2)

x1 - x2 - 5x3 = -2
x2 + x3 = 0
x1 - 6x3 = -2

Finally, we will eliminate x3 from the second and third equations by multiplying the third equation by -5 and then adding the two equations together:

-5(x2 + x3) = -5(0)
-5x2 - 5x3 = 0

2x2 + 5x3 = -3
-3x2 = -3
x2 = 1

Now that we know the value of x2, we can substitute it back into the third equation to find the value of x3:
x2 + x3 = 0
1 + x3 = 0
x3 = -1
And finally, we can substitute the values of x2 and x3 back into the first equation to find the value of x1:
x1 - 3x2 = 5
x1 - 3(1) = 5
x1 = 8
So the solution to the system is x1 = 8, x2 = 1, and x3 = -1.

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Answer:

its a black square

Step-by-step explanation:

Answer:

40

Step-by-step explanation: 40

The length of the patio is  30 ft and the width of the patio is 18ft.

The perimeter is the sum of all the sides of the given shape. For a rectangle, the perimeter is the sum of all the sides of the rectangle.

The perimeter of the rectangular patio is to be 96 feet. the length is to be 6 feet less than twice the width.

Perimeter=2(length+width)

Length= 2(width)-6

Substituting in perimeter equation,

Perimeter=2(length+width)

Perimeter=2((2(width)-6)+width)

Perimeter= 96 feet

Let width= x

Perimeter=2((2(width)-6)+width

96=2((2(x)-6)+x)

96= 4x-12+2x

108= 6x

18= x

Width= 18ft

Length= 2(width)-6

Length= 2(18)-6

Length= 36-6

Length= 30 ft

Therefore, the length of the patio is  30 ft and the width of the patio is 18ft.

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Answer: 60 m squared dimensions

6 m width

10 m length

Step-by-step explanation:

subtract 8 from the perimeter to account for 2 sides having the extra length then divide the answer by 4 to get the length if all the sides were equal

32-8=24

24/4=6

then add the 4 m back to the answer to get the length

The given expression, \(d(n)d(n)d(n)\), represents the duration in seconds for Hailey to run her \(n^{th}\) lap. The specific values provided, 333, 777, 999, correspond to the durations of the 3rd, 7th, and 9th laps, respectively. The values 858585, 999999, and 110110110 are unrelated and do not provide any additional information about lap durations.

The expression \(d(n)d(n)d(n)\) suggests that each lap duration is represented by the function \(d(n)\), where \(n\) denotes the lap number. The specific values given (333, 777, 999) correspond to the 3rd, 7th, and 9th laps, respectively. However, the remaining values (858585, 999999, 110110110) do not appear to have a direct connection to the lap durations or the function \(d(n)\).

Without further information or a specific pattern, it is difficult to interpret the significance of the remaining values. It's important to note that more context or information about the pattern or relationship between the values would be necessary to provide a more detailed explanation or analysis.

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The margin of error for a 95.44% confidence interval is approximately 0.521 inches.

The margin of error for a 96% confidence interval is approximately 0.149 ounces.

The margin of error for a 95% confidence interval is approximately 0.233 ounces.

The margin of error for a 99.74% confidence interval is approximately 0.658 inches.

The critical value should be a t-score since the sample size is less than 30.

FALSE, alpha represents the level of significance.

The critical value should be a t-score since the population standard deviation is known.

TRUE, increasing the confidence level requires larger critical values.

c. The margin of error of a confidence interval will decrease as the sample size increases.

The critical value should be a t-score since the sample size is less than 30.

TRUE, a confidence interval for mu is centered on the sample mean.

b. Confidence Interval is a region in which there is a high certainty of locating the population mean mu.

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The Hutchins Commission, a learned group in the 1940s, recommended that journalists and media professionals prioritize responsible decision-making that serves society.

The Hutchins Commission, formally known as the Commission on Freedom of the Press, was a group of scholars and professionals established in the 1940s to examine and make recommendations regarding the role of the media in democratic societies.

Chaired by Robert M. Hutchins, the commission aimed to address concerns about the media's influence and responsibility.

The commission's key recommendation was that journalists and other media personnel should prioritize their decisions based on the responsible service to society.

They advocated for a media system that serves the public interest, encourages diversity of viewpoints, and promotes the democratic ideals of informed citizenry.

The commission recognized the significant impact of the media on shaping public opinion and believed that media professionals had a responsibility to use their power ethically and responsibly.

The Hutchins Commission's recommendations emphasized the importance of maintaining an informed and engaged citizenry by providing accurate, unbiased, and diverse information.

They called for media professionals to adhere to high ethical standards, ensure the fair representation of diverse perspectives, and avoid practices that could manipulate or exploit public opinion.

The commission's work contributed to ongoing discussions about media responsibility, freedom of the press, and the role of journalism in democratic societies.

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Answer:

y = 25

Step-by-step explanation:

Given y = kx and k = 5 then

y = 5x ← equation of variation

When x = 5 , then

y = 5 × 5 = 25

Explanation:

(i)Total number of copies are at Pradnya = 5 dozen

We know that 1 dozen = 12

⇛5×12 = 60

Given copies to Anushka = half of 60

⇛60/2 = 30 copies

Given copies to Prajwala = 1/5 the copies

⇛ (1/5)×60

⇛60/5

⇛12 copies

Total number of given copies = 30+12 = 42

Remaining copies = 60-42 = 18

Answer: Remaining copies = 18

(ii)Let the number of Rs. 10 notes be X

So given that

all are equal in number

So, Number of Rs 20 notes = Number of Rs. 50 notes = Number of Rs. 100 = X

Total number of notes

= X+X+X+X = 4X

Value of Rs. 10 = 10X

Value of Rs. 20 = 20X

Value of Rs. 50 = 50X

Value of Rs. 100 = 100X

Total amount = Rs. 900

⇛10X +20X +50X+100X = 900

⇛180X = 900

⇛X = 900/180

⇛X = 5

Number of Rs. 10 notes = Number of Rs. 20 notes = Answer: number of Rs. 50 notes = Number of Rs. 100 = 5

(iii) Let the number of rows be X

Number of saplings per each row = 47

Total number of saplings of X rows = 47X

According to the given problem,

Total number of saplings purchased by Mangalakaku = 6016

⇛47X = 6016

⇛X = 6016/47

⇛X = 128

Answer: Total number of rows = 128

Answers:

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

Explanation:

x = Erin's true speed

Her true speed x is within 2 mph of 56 mph.

This means the interval for x is \(56-2 \le \text{x} \le 56+2\) which simplifies to \(54 \le \text{x} \le 58\)

She could be going as slow as 54 mph, or as fast as 58 mph, or something in between.

The expression |x-56| measures the distance from x to 56 on the number line. Recall absolute value is used to ensure the distance isn't negative.

We want this distance to be within 2 units, i.e. we want the distance to be 2 or smaller.

\(\text{distance on number line} \le 2\\\\|\text{x}-56| \le 2\)

----------------

Here's what the steps look like to solve that absolute value inequality

\(|\text{x}-56| \le 2\\\\-2 \le \text{x}-56 \le 2\\\\-2+56 \le \text{x}-56+56 \le 2+56\\\\54 \le \text{x} \le 58\\\\\)

For the second step, we use the rule that |x| < k is the same as -k < x < k where k is some positive number.

In the third step, I added 56 to all three sides to isolate x fully.