5. suppose that prior to conducting a coin flipping experiment, we suspect that the coin is fair. how many times would we have to flip the coin in order to obtain a 96.5% confidence interval of width of at most 0.16 for the probability of flipping a head? a) 140 b) 156 c) 173 d) 174 e) 175

Answer:

114%

Step-by-step explanation:

A company was able to incite staff from 100 employees to 214 employees. What was the percentage increase in staff?

Percentage Formula is given as:

New value - Old value/Old value × 100%

New value = 214

Old value = 100

Hence:

Percentage increase = 214 - 100/100 × 100

= 114/100 × 100

= 114 %

Therefore, the percentage increase = 114%

Answer:

(2.4,1.8)

Step-by-step explanation:

the answer is in the image above

Answer:

Westmoreland County, Virginia

Solution:

Note that:

Simplify the equation to find the measure of x.

The value of x is 34.

Answer:

The graph of a polynomial function will touch the x-axis at zeros with even multiplicities. The graph will cross the x-axis at zeros with odd multiplicities. The sum of the multiplicities is the degree of the polynomial function.

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

There are 4 whole numeric units between -5 and -9.

7.5cm2

5x3cm=15cm2 because of base x height/2 you would do

15cm2 divided by 2 since it is a triangle (a half of a square) which is 7.5cm2

Answer:

D.

Step-by-step explanation:

Area of a triangle is bh/2

So your base is 5 and your height is 3.

So you do 5*3 which is 15.

And lastly you do 15/2, which is 7.5. 7*2 is 14, and 8*2 is 16

So 7.5 times 2 is 15

Answer:

what the product of 2 and 3

To find the nature of the roots of the equation 2x^2 – 6x + 7 = 0, we can use the quadratic formula:

What kind of thing are quadratic equation roots?

Therefore, the real, unequal, and irrational roots of a quadratic equation.

x = (-b +/- sqrt(b^2 - 4ac)) / (2a)

where a, b, and c are the coefficients of the quadratic equation in the form ax^2 + bx + c = 0.

In this case, a = 2, b = -6, and c = 7, so we can plug these values into the formula as follows:

x = (-(-6) +/- sqrt((-6)^2 - 4(2)(7))) / (2(2))

x = (6 +/- sqrt(36 - 56)) / 4

x = (6 +/- sqrt(-20)) / 4

Since the square root of a negative number is not a real number, the roots of the equation 2x^2 – 6x + 7 = 0 are not real numbers. This means that the roots of the equation are complex numbers.

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Ans : A and F

Step-by-step explanation:

Answer:

As shown in picture:

Triangle LMN has 3 angles which are smaller than 90

=> Acute triangle (option C)

Triangle LMN has 2 sides which are equal in length (LM and LN)

=> Isosceles triangle (Option F)

Hope this helps!

:)

57

Step-by-step explanation:

$ 9.50 -> 1 hr

? -> 6 hrs

9.50(6) = $ 57

The correct answer is C. (4/3)

Fraction calculation steps:

6/7 ÷ 36/56 = 6/7 × 56/36 = (6×56)/(7×36) = 336/252

(336÷84)/(252÷84) = 4/3

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Answer:

as triangle has different length in each side it is scalene

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let sharma age be S and Ankit age be A

S = 3a

(s-10) = 5(a-10)

substitute 1 in 2

3a-10 = 5a -50

40 = 2a

a = 20

s = 3 * 20 = 60

Answer:

This is by far the easiest question ever...Can you actually read and put effort into it before looking up all your answers next time? It literally says there are 16 CATS and 14 DOGS in a SHELTER. Its not A, because it did not mention rabbits. Its not C because it did not mention too much about cats, and it said dogs and cats not cats and cats. And its not D because we aint talking about a neighborhood. So..it is B. Easy, peasy, lemon squeezy!

Answer:

that means that the new ones contains c-14*32/100

Hope This Helps!!!

The zip line is approximately 47.43 feet long. To calculate the length of the zip line, we can use the Pythagorean theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

In this case, the vertical difference between the tree and the house is 30 - 6 = 24 feet. The horizontal distance between them is 45 feet. Therefore, we can form a right triangle with a base of 45 feet, a height of 24 feet, and the zip line as the hypotenuse.

Using the Pythagorean theorem, we can calculate the length of the zip line as follows:

Length^2 = Base^2 + Height^2

Length^2 = 45^2 + 24^2

Length^2 = 2025 + 576

Length^2 = 2601

Length ≈ √2601

Length ≈ 51 feet

However, since the question asks for the length of the zip line, we need to subtract the excess lengths from the vertical drop and horizontal distance. The excess length is the difference between the hypotenuse and the direct distance between the two points, which can be found using the Pythagorean theorem again.

Excess length^2 = Length^2 - Direct distance^2

Excess length^2 = 51^2 - 45^2

Excess length^2 = 2601 - 2025

Excess length^2 = 576

Excess length ≈ √576

Excess length ≈ 24 feet

Finally, we subtract the excess length from the calculated length to find the actual length of the zip line:

Zip line length = Length - Excess length

Zip line length ≈ 51 - 24

Zip line length ≈ 27 feet

Therefore, the zip line is approximately 27 feet long.

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Answer: 11.78

Step-by-step explanation:

Using correlation coefficients, it is found that the value of r is greater than 0 and close to 1, as the scatter-plot is increasing linearly.

Researching the problem on the internet, it is found that the relation is modeled by an increasing scatter-plot, hence r > 0. There are very few points in which there are oscillations, which indicate a strong relationship, hence r is closer to 1.

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h ---> Independent Variable

c ---> Dependent variable

h is time, So domain is discrete.

Given,

In the question:

The function c = 15 + 9h represent the amount c (in dollars)

It will cost you for a one - time lawn care service of h hours.

To find the independent and dependent variables .

To check the domain discrete or continuous.

Now, According to the question:

What is domain discrete or continuous?

A discrete domain is a set of input values that consists of only certain numbers in an interval. A continuous domain is a set of input values that consists of all numbers in an interval. Sometimes the set of points that represent the solutions of an equation are distinct, and other times the points are connected.

According to the above statement :

Hence, h ---> Independent Variable

c ---> Dependent variable

h is time, So domain is discrete.

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Answer:

b. and f.

Step-by-step explanation:

They're equal to each other and are the only ones that give you 0.7 when dividing the numerator by the denominator.

The appropriate p-value for a t-value of 2.73 with 5 degrees of freedom is approximately 0.05. This indicates that there is a 5% chance of observing a t-value as extreme as 2.73 or more extreme, assuming the null hypothesis is true.

In statistics, the p-value measures the strength of evidence against the null hypothesis. The null hypothesis states that there is no significant difference or effect in the population being studied. The p-value is calculated by determining the probability of obtaining a test statistic (in this case, the t-value) as extreme as or more extreme than the observed value, assuming the null hypothesis is true.

To determine the appropriate p-value for a t-value, we typically consult a t-distribution table or use statistical software. In this case, with 5 degrees of freedom and a t-value of 2.73, we look up the critical value or use software to find the corresponding p-value. The p-value associated with a t-value of 2.73 and 5 degrees of freedom is approximately 0.05.

The p-value of 0.05 indicates that there is a 5% chance of obtaining a t-value as extreme as 2.73 or more extreme, assuming the null hypothesis is true. Generally, a p-value of 0.05 or lower is considered statistically significant, implying that the observed result is unlikely to have occurred by chance alone. If the p-value is below a predetermined significance level (often denoted as α, commonly set at 0.05), we reject the null hypothesis in favor of an alternative hypothesis. If the p-value is above the significance level, we fail to reject the null hypothesis.

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Answer:

iam think that y=2x cause curve y have two curve x

find the limit of the points specified

The mean absolute deviation is 0.63. The correct option is not among the options provided by the asker.

In a three-period weighted moving average method, the weights are usually assigned as per their significance. Let’s say the weights are 5, 2, and 1, respectively. In order to calculate the weighted moving average, we multiply each value by its weight, add them all up, and then divide by the sum of the weights. For instance, if we have three periods i.e. t = 1, 2, 3 and the corresponding values for these periods are x1, x2, and x3, the weighted moving average formula would be: WMA = (5x1 + 2x2 + 1x3) / (5 + 2 + 1) = (5x1 + 2x2 + x3) / 8The mean absolute deviation (MAD) is a measure of how spread out a set of data is. It can be calculated by finding the absolute deviation of each data point from the average of the dataset, adding up all these deviations, and then dividing by the total number of data points. To calculate the mean absolute deviation in this case, we need to find the absolute deviations of the three-period weighted moving average from the actual data values, sum them up, and then divide by the number of data points. Let’s say the actual data values are y1, y2, and y3. Then, the MAD formula would be:MAD = (|y1 - WMA| + |y2 - WMA| + |y3 - WMA|) / 3Substituting the values in the formula, we get:MAD = (|y1 - 5x1/8 - 2x2/8 - x3/8| + |y2 - 5x2/8 - 2x3/8 - x1/8| + |y3 - 5x3/8 - 2x1/8 - x2/8|) / 3The absolute deviations can be calculated as follows:|y1 - 5x1/8 - 2x2/8 - x3/8| = |-1.2| = 1.2|y2 - 5x2/8 - 2x3/8 - x1/8| = |0.15| = 0.15|y3 - 5x3/8 - 2x1/8 - x2/8| = |0.55| = 0.55Thus, MAD = (1.2 + 0.15 + 0.55) / 3 = 0.6333 ≈ 0.63

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The mean absolute deviation is 4.8 (approximately).Option (2) is the correct answer.

Given,

Three-period weighted moving average with weights 5, 2, and 1.

To find: The mean absolute deviation.

Formula for calculating weighted moving average(WMA):

WMA= [(w1 * P1) + (w2 * P2) + (w3 * P3)] / (w1 + w2 + w3)

Now let's calculate the 3-period weighted moving average with the given weights of 5, 2, and 1. Period Price WMA 51(5*5)+(2*4)+(1*3)

= 34/8

= 4.2552(5*4)+(2*3)+(1*5)

= 34/8

= 4.253(5*3)+(2*5)+(1*4)

= 29/8

= 3.625

Mean absolute deviation:

|5-4.25| + |1-4.25| + |3-3.625|

= 0.75 + 3.25 + 0.625

= 4.625

Hence, the mean absolute deviation is 4.8 (approximately).Option (2) is the correct answer.

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1) A stacker and reclaimer are types of equipment commonly used in material handling systems, particularly in bulk material storage yards, such as those found in mines, ports, and power plants.

2) There are different types of stackers and reclaimers available, and their selection depends on various factors such as the specific application, material characteristics, required stacking and reclaiming capacity, and available space.

We have to give that,

1) Define stacker and reclaimer.

2) Compare the types of stacker and reclaimer.

1) A stacker and reclaimer are types of equipment commonly used in material handling systems, particularly in bulk material storage yards, such as those found in mines, ports, and power plants.

They are used for efficient stacking and reclaiming of bulk materials like coal, ore, limestone, and more.

A stacker, as the name suggests, is used to stack bulk materials in an organized manner. It consists of a long arm or boom that can move in multiple directions and a conveyor system.

The stacker travels along a rail or track, allowing it to create stockpiles of materials in a specific area.

On the other hand, a reclaimer is used to reclaim or retrieve materials from a stockpile.

It is designed to move along the stockpile, usually through a bucket wheel or scraper system.

The reclaimed materials are then transported to another location through a conveyor system for further processing or transportation.

2) There are different types of stackers and reclaimers available, and their selection depends on various factors such as the specific application, material characteristics, required stacking and reclaiming capacity, and available space. Here are some common types:

Stacker Types:

Radial Stacker: This type of stacker can rotate around a central pivot point, allowing it to create a circular stockpile.

Linear Stacker: It moves in a straight line along a track, creating rectangular or trapezoidal stockpiles.

Slewing Stacker: It has a slewing mechanism that allows the boom to move horizontally, enabling it to stack materials in multiple storage areas.

Reclaimer Types:

Bucket-Wheel Reclaimer: It employs a large wheel with buckets that scoop up the materials and transfer them onto a conveyor.

Bridge-Type Reclaimer: It consists of a bridge-like structure with a bucket-wheel or scraper system that reclaims materials from the stockpile.

Portal Reclaimer: It uses a portal or gantry structure with a bucket-wheel or scraper system, providing flexibility in the stockpile area.

When comparing stacker and reclaimer types, factors to consider include stacking/reclaiming efficiency, capacity, maneuverability, power consumption, maintenance requirements, and cost.

It's essential to choose the appropriate type based on specific operational needs and constraints to optimize material handling processes.

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Answer:

2

Step-by-step explanation:

1+1 = 2

The probability that no more than four of the college graduates plan to pursue a graduate degree is approximately 0.1437. b. X= 7 = 0.2004.

With a set number of independent trials, each of which has just two potential outcomes—success or failure—a binomial distribution defines the number of successes. The chance of success, represented by p, and the number of trials, denoted by n, are the two factors that define the distribution.

Given that, 58% of recent college graduates plan on pursuing a graduate degree.

Using the binomial probability formula we have:

\(P(X \leq 4) = \sum (i = 0 \to 4) (n C i) * p^i * (1 - p)^{(n-i)}\\\\\)

Here, n = 13, p = 0.58.

\(P(X \leq 4) = Σ(i = 0 \to 4) (13 C i) * 0.58^i * (1 - 0.58)^{(13-i)}= 0.1437\)

Hence, the probability that no more than four of the college graduates plan to pursue a graduate degree is approximately 0.1437.

b. For X = 7:

\(P(X = 7) = (13 C 7) * 0.58^7 * (1 - 0.58)^{(13-7)}= 0.2004\)

Hence, the probability that exactly seven of the college graduates plan to pursue a graduate degree is approximately 0.2004.

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