the fracture strength of tempered glass averages 13.5 (measured in thousands of pounds per square inch) and has standard deviation 2. (a) what is the probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 13.8? (round your answer to four decimal places.)

Creation of class to calculate the areas of different geometrical shapes requires to use certain rules which are mentioned in detail here.

Developers frequently encounter naming issues. I lost count of the number of hours I've spent considering what to name things and the amount of time it took me to decipher code that had inappropriate names. Whether it was an object, methods, class, or something else is irrelevant. Given that we spend more time reading code than developing it, effective naming is usually beneficial in the long run.

Your code becomes better and cleaner when you use excellent names. It aids in helping you recognize the functions of each piece of code intuitively. It makes your application easier to read in the future by other developers as well as yourself.

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The graphs for the given systems of linear equations are shown below.

From the graph, the solution to the first system is (8, -5)

From the graph, the solution to the second system is (-7, -6)

From the question, we are to graph the given system of equations

The given system of equations is

y = 1/4x - 7

y = -1/2x - 1

First, we will plot the graph by using the x-intercepts and the y-intercepts of  the lines

y = 1/4x - 7

Set y = 0 to determine the x-intercept

0 = 1/4x - 7

7 = 1/4x

x = 28

The x-intercept of the equation is 28

Set x = 0 to determine the y-intercept

y = 1/4(0) - 7

y = 0 - 7

y = -7

The y-intercept of the equation is -7

For y = -1/2x - 1

Set y = 0 to determine the x-intercept

0 = -1/2x - 1

1 = -1/2x

-x = 2

x = -2

The x-intercept of the equation is -2

Set x = 0 to determine the y-intercept

y = -1/2(0) - 1

y = 0 - 1

y = -1

The y-intercept of the equation is -1

Using the x-intercepts and y-intercepts, the graph of the system is shown below

For the second system of equations

y = 1/7x - 5

y = 8/7x + 2

For y = 1/7x - 5

Set y = 0 to determine the x-intercept

0 = 1/7x - 5

5 = 1/7x

x = 35

The x-intercept of the equation is 35

Set x = 0 to determine the y-intercept

y = 1/7(0) - 5

y = 0 - 5

y = -5

The y-intercept of the equation is -5

For y = 8/7x + 2

Set y = 0 to determine the x-intercept

0 = 8/7x + 2

-2 = 8/7x

8x = -14

x = -14/8

x = -7/4

The x-intercept of the equation is -7/4

Set x = 0 to determine the y-intercept

y = 8/7(0) + 2

y = 0 + 2

y = 2

The y-intercept of the equation is 2

Using the x-intercepts and y-intercepts, the graph of the system is shown below

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A(n) IQ test evaluates a child's performance in relation to other kids in terms of how well they can perform specific activities at a specific time.

Each individual IQ exam is made up of a number of smaller questions, and no reading nor writing are required. Some verbal subtests consist of spoken questions with no set time restriction. Other subtests are frequently timed and typically have a visual or spatial focus. It takes one to two hours to give the exam.

115 to 129: Superior or intelligent. 130 through 144: Fairly talented. From 145 through 159: Very talented. Exceptionally talented from 160 to 179.

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The required are of shaded region for the given question is 20.7 cm^2.

A circle is partitioned into two areas, specifically the significant area, and the minor area. A bigger piece of the circle involved by the radii and the significant circular segment is supposed to be a significant area. A more modest part involved by two radii and a minor circular segment is known as the minor area.

We have,

∠BOC = 2π/5, radius = 6 cm, OA = 2 cm, DC = 2 cm

OD = 6 - 2 = 4 cm,

We know that

Area of triangle = OA×OD×sin(2π/5)/2

A = 2×4×0.475/2 = 1.9 sq. cm

And

Area of sector = (π/5)/2π ×πr^2

Area of sector = π(6)^2/5

Area of sector = 22.6  sq. cm

Area of shaded region = 22.6 - 1.9 = 20.7  sq. cm

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y=2x/3-2  is the required slope-intercept form of the line

The coordinate of points where the line intersects at the x-axis is (-3,0) and at the y-axis is (0,-2) now from there two points we can find slope if line that is

slope=y₂-y₁/x₂-x₁=(-2-0)/(0-(-3))

slope =-2/3

with one point (0,-2) and slope we can find the slope-intercept form that is y=mx+c

where m is slope and c is intercept on the y-axis

y=2x/3-2 this is the slope-intercept form and by simplifying it we get

3y=2x-6

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Yes there was an error made and it is a type II error

What is type i and ii error in Hypotheses testing?

A Type I mistake in statistics is a false positive finding, whereas a Type II error is a false negative finding.

The possibility of making these mistakes is inherent in hypothesis testing since making a statistical choice always entails some level of uncertainty.

The significance level, or alpha (), determines the likelihood of a Type I mistake, whereas beta () determines the likelihood of a Type II error. These dangers can be reduced by carefully designing the layout of your study.

Comparison of Type I and Type II errors

Considering your minor symptoms, you decide to get checked for COVID-19. There are two mistakes that could happen:

False positives of type I are when a test indicates you have a coronavirus when you don't.

False negative type II errors occur when the test results indicate that you don't have coronavirus but in fact you have.

The null and alternate hypotheses are provided below for the scenario:

H0: The average amount of tooth whitening achieved by toothpaste is four shades.

Ha: The average amount of colors your teeth lighten after using toothpaste is less than four.

H0: µ = 4

Ha: µ < 4

While we reject the null hypothesis when it is true, we made a type I error, according to the definition.

The failure to reject the null hypothesis when the null hypothesis is false is what is referred to as a type II error .

In the hypothetical situation, it is said that the average number of shades that toothpaste whitens teeth is three. This implies,

There are less than four hues. This proves that the null hypothesis is untrue.

This indicates that when the null hypothesis is false, we are unable to reject it.

It is a type II error as a result.

Yes, a type II error.

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The average sample of 10 plantings tree-planting time is two hours- P-value = 0.251453

The estimated labor cost associated with a particular landscaping proposal is based on the number of plantings of trees, shrubs, and so on to be used for the project-P-value = 0.251453

We are unable to reject the null hypothesis and accept it because the p value is higher than the significance level.

As a result, we draw the conclusion that the average tree-planting time is two hours.

Hypothesis:

In statistics, hypothesis testing is used to identify the variance in the group of data that results from genuine variation. Based on the presumptions, the sample data are taken from the population parameter. The hypothesis can be divided into many categories. A hypothesis is described in statistics as a formal statement that explains the relationship between two or more variables belonging to the specified population. It aids the researcher in converting the stated issue into an understandable justification for the study's findings. It provides examples of various experimental designs and guides the investigation of the research procedure.

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Distance = 50 meters

Slowest means, longest time =58 seconds

Speed is equal to distance divided by time:

Speed = 50/58

=25/29 m/s

=0.86m/s which is the answer.

Linda kept track of her times in the 50-meter freestyle at her team's swim meets. Swim times (sec.) H 40 44 48 52 56 60 What was Linda's slowest time in the 50-meter freestyle? 60 seconds 52 seconds 56 seconds 58 seconds

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The total number of tickets sold in the year 2018 was 113,200.

For the stated question-

Total tickets sold in 2019 = 105,276

Let the tickets sole in 2018 be 'x'.

Then, percentage decrease in the year 2019 be-

x - 7% of x = 105,276

x - 7x/100 = 105,276

93x/100 = 105,276

x = 105,276 x 100 / 93

x = 113,200

Thus, the total number of tickets sold in the year 2018 was 113,200.

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Answer:

To get the correct answer.If it isnt followed you will get a number/answer but that is incorrect

If the perimeter of the rectangle is 4646 centimeters and its length is 88 centimeters then its width would be 2235 centimeters

The perimeter of a form in geometry is defined as the entire length of its border. A shape's circumference is calculated by summing the lengths of all of its sides and edges. Its dimensions are expressed in linear units like centimeters, meters, inches, and feet.

In daily life, people constantly employ the idea of perimeter. For instance, we measure the perimeter of the area to be fenced in or decorated for Christmas to determine how much wire you will need.

We are aware that a regular polygon has equal-length sides.

A regular polygon's perimeter is equal to the product of all of its sides, which is equal to the quantity o sides times the length of a side.

How to solve?

width = 4646 - 2*88 =4470

width of one side = 4470/2 = 2235 centimeters

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Answer:

25

Step-by-step explanation:

knowing that 80 is 4/5 of 100, we need to find the number that is 5/4 of 20. That number is 25. This can be proven by calculating that 20/25 and 80/100 both can be simplified to 4/5.

Answer:

First line:  First box:1  Second box: 5

Second line: First box: 20 Second box: 15  Third box: 5

Step-by-step explanation:

This is two ways to do the same problem.  

5(4-3)  The first problem.  We are subtracting the numbers in the parentheses and then multiplying that by 5

5(1) = 5

The second way to solve this is by using the distributive property.  We are multiplying 5 by both numbers in the parentheses and then subtracting those two numbers

5(4-3)

5(4) - 5(3)

20 - 15

5

Answer:

Step-by-step explanation:

2.66 as a fraction in simplest form

(2.66 × 100)/100 =

266/100 =

133/50

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

check

133 : 50 = 2.66

the answer is good

The exponential growth function's estimate of the monthly percentage rate is; log 3/ 3.

We will employ the exponential function, as indicated, to determine the monthly percentage rate;

P(t) = P(0)e∧(rt)

Enter the following parameters into the calculation to obtain the rate "r".

P(t) = P(0)e∧(rt)

3P(0) = P(0)e∧(rt)

3 = e∧(rt)

Taking log both sides.

log 3 = (rt)

r = log 3 / 3

r = 0.366

r = 36.6%

Consequently, the exponential growth function's estimate of the monthly percentage rate compounded continuously is; log 3/ 3.

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Answer: the answer is ln(2)/3

Step-by-step explanation:

Answer:

394

Step-by-step explanation:

because 14,203 divided by 36 is 394.527777778 but the complete number of necklaces he can make is 394.

Answer:yes

Step-by-step explanation: 2/8=4

4/1=4 since both of them equal 4 they are equivalent

The number of packages that can be wrapped with 12 feet of ribbon is 24.

For the stated question.

Total length of the ribbon = 12 feet.

Ribbon required to wrap a one box = 1/2 foot.

Number of boxes = Total length / required ribbon for one box

Number of boxes = 12/ (1/2)

Number of boxes = 12 x 2

Number of boxes = 24

Thus, the number of packages that can be wrapped with 12 feet of ribbon is 24.

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Answer:

To find the answers you just need to multiply each value by 3. This is as we are given the information that y is equal to 3x. If we know this and we know the values of x we can easily work out the output (y)!!

We can also see a pattern of +3 going upwards!!

Hope this helps, have a great day!

The equation of the ellipse in the graph, with center at (0, 0), and semi  major and minor axis of 3 and 2 can be presented as follows;

[tex]\dfrac{x^2}{2^2} +\dfrac{y^2}{3^2 } = 1[/tex]

An ellipse is the locus of a point that moves such that the sum of the distance from two points is constant.

The standard form of the equation of an ellipse can be presented as follows;

[tex]\dfrac{(x - h)^2}{b^2} + \dfrac{(y - k)^2}{a^2} = 1[/tex]

Where;

(h, k) = The coordinates of the center of the ellipse

a = The semi major axis

b = The semi minor axis

From the attached graph the coordinates of the center of the ellipse is; (0, 0)

The semi major axis, a  = 3

The semi minor axis, b = 2

Therefore;

[tex]\dfrac{(x - 0)^2}{2^2} + \dfrac{(y - 0)^2}{3^2} = 1[/tex]

The equation of the ellipse in standard form is therefore;

[tex]\dfrac{x^2}{2^2} + \dfrac{y ^2}{3^2} = 1[/tex]

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The possible amount of time that it could take Wyatt to husk 72 dozen ears of corn is 4 to 6 hours.

What are time and work?

Time is the span of any action or work that occurs or is ongoing. Work is a task or series of activities carried out to accomplish a specific goal.

Given, Wyatt can husk anywhere from  12 to  18 dozen ears of corn per hour.

Thus, to find the time taken to husk 72 dozen ears of corn,

the maximum time = 72/12 =6 hours

And, the minimum time =  72/18 =4 hours

Thus, depending on his speed, Wyatt takes anywhere from  4  to 6 hours to husk  72 dozen ears of corn.

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Answer:

The difference between factoring x4+9x2+8 and factoring x2+9x+8 is that the first equation is a fourth degree polynomial, while the second equation is a second degree polynomial. The first equation can be factored into (x2 + 3)(x2 + 8), while the second equation can be factored into (x + 8)(x + 1).

The slope of line C = 40t+150 will be 40.

What is equation straight line?

Y = mx + c is the general equation for a straight line, where m denotes the line's slope and c the y-intercept. It is the version of the equation for a straight line that is used most frequently in geometry. There are numerous ways to express the equation of a straight line, including point-slope form, slope-intercept form, general form, standard form, etc. A straight line is a geometric object with two dimensions and infinite lengths at both ends. The formulas for the equation of a straight line that are most frequently employed are y = mx + c and axe + by = c. Other versions include point-slope, slope-intercept, standard, general, and others.

The total cost of the gym membership over tt months is given by the equation C=40t+150

The slope of the given equation will be the append of t which is 40.

Hence, the question indicates that the starting value is 150 already without eve before the time stated.

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An expression that would represent the number of frames he has left for him to make would be = X = n - ⅔.

A fraction is an expression that is used to represent the part of a whole structure or an object such as the wooden frame.

The total number of wooden frames to be made= n.

The number of frames that Mr. Brown has made= ⅔

The number that is left to be made = X

But, n = ⅔ + X

To find X, make X the subject of formula;

X = n - ⅔.

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Answer: h = 70

Step-by-step explanation: We just need to take 14 timed 5 and we will get h.  

14 = h/5 because it is divided so to get rid of it we multiply by 5

70=h

If you can please give me a Brainliest, I need 3 more to become an Ace, thank you!

Answer: f(x) = -1/2(x+3)

Example: g(x) = -1/2(-x-3)

This function is a dilation and a reflection of the parent function f(x) because when graphed, the two functions have the same shape but are reflected over the y-axis and are half the size of the original.

Based on the information provided, it can be determined that there are 120 steps visible on the escalator at any given time.

Assume that there are x total steps, e for the escalator speed, and b for Bob's pace.

Bob noticed 75 stairs and climbed the entire escalator in the time it took him to ascend it. As a result, the escalator must have added an extra x + 75 steps.

Let e and b be the speeds of the escalator and Bob, respectively.

Alice took 150 steps at a speed of (3b-e) step rate as she descended the stairs.

Bob took 75 steps at a speed of (b+e) each step as he ascended.

Since, Al and Bob were walking the same distance at a time , we have,

150(3b-e) = 75(b+e)  

Solving  these two equation we get ,  e/b = 3/5

Thus while Bob took 75 steps to go up, the escalator contributed an extra

3/5 * 75 = 45 steps

Finally, there is a total of 75+45=120 steps in the length of the escalator.

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The sample standard deviation of the following dataset is dev = $22.4 : $96, $125, $80,$110, $75, $100,8121.

The square root of the variance of a random variable, sample, mean ,statistical population, data set, or probability distribution is that variable's standard deviation. Although less robust in practice, it is algebraically simpler than the average absolute deviation.The fact that the standard deviation is expressed in the same unit as the data, as opposed to the variance, is a useful characteristic of the statistic.

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There were 50 pounds of strawberries and 23 pounds of blueberries sold by Keilantra.

Given,

The cost of 1 pound of strawberry = 2.25

The cost of 1 pound of blueberry = 4

Total cost made by Keilantra = 204.50

The quantity of strawberry sold = x

The quantity of blueberry sold = y

Total quantity of berries sold = 73 pounds

We have to find the quantity of strawberries and blueberries sold:

Here,

2.25x + 4y = 204.50 and x + y = 73

Then,

x + y = 73

x = 73 - y

Substitute this in; 2.25x + 4y = 204.50

That is,

2.25 × (73 - y) + 4y = 204.50

(2.25 x 73) - 2.25y + 4y = 204.50

164.25 + 1.75y = 204.50

1.75y = 204.50 - 164.25

y = 40.25/1.75

y = 23

Then,

x + 23 = 73

x = 73 - 23 = 50

Therefore The quantity of strawberries and blueberries sold by Keilantra is 50 pounds and 23 pounds.

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Answer:

30x-18

Step-by-step explanation: