Resources that are available in limited quantities on the earth are called ___________

a) The median waiting time until the next telephone order is of: 2.91 minutes.

b) The upper quartile of waiting time before the next telephone order is of: 5.82 minutes.

c) The upper 10% of waiting time until the next telephone order is of: 9.67 minutes.

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The mean for this problem is of:

m = 4.2.

Hence the decay parameter is of:

[tex]\mu = \frac{1}{4.2} = 0.2381[/tex]

The mass function is then given as follows:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

Hence:

[tex]P(X \leq x) = 1 - e^{-0.2381x}[/tex]

The median time is the value of x for which P(X < x) = 0.5, hence:

[tex]0.5 = 1 - e^{-0.2381x}[/tex]

[tex]e^{-0.2381x} = 0.5[/tex]

[tex]\ln{e^{-0.2381x}} = \ln{0.5}[/tex]

-0.2381x = ln(0.5)

x = -ln(0.5)/0.2381

x = 2.91 minutes.

The upper quartile is the value of x for which P(X < x) = 0.75, hence:

[tex]0.75 = 1 - e^{-0.2381x}[/tex]

[tex]e^{-0.2381x} = 0.25[/tex]

[tex]\ln{e^{-0.2381x}} = \ln{0.25}[/tex]

-0.2381x = ln(0.25)

x = -ln(0.25)/0.2381

x = 5.82 minutes.

The upper 10% is the value of x for which P(X < x) = 0.9, hence:

[tex]0.9 = 1 - e^{-0.2381x}[/tex]

[tex]e^{-0.2381x} = 0.1[/tex]

[tex]\ln{e^{-0.2381x}} = \ln{0.1}[/tex]

-0.2381x = ln(0.1)

x = -ln(0.1)/0.2381

x = 9.67 minutes.

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a) Amy's monthly budget for Rent based on the total budget for housing and food is $853.

b) Amy's monthly budget for Utilities based on the total budget for housing and food is $142.

c) Amy's monthly budget for Food based on the total budget for housing and food is $427.

The total budget for Housing, Utilities, and Food for nine months = $12,798

Rent = 60%

Utilities = 10%

Food = 30%

Budget period = 9 months

Budget for rent = $7,679 ($12,798 x 60%)

Monthly budget for Rent = $853 ($7,679/9)

Budget for utilities = $1,280 ($12,798 x 10%)

Monthly budget for Utilities =  $142 ($1,280/9)

Budget for food = $3,839 ($12,798 x 30%)

Monthly budget for Food =  $427 ($3,839/9)

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1.  Opposite angles are equal in measure.

and

2. Diagonals bisect each other.

3. Any two adjacent angles add up to 180 degrees.

Properties of rhombus:

1.   All sides are equal in length.

2.  Opposite angles are equal.

3.   Diagonals bisect each other at 90°.

4.   Diagonals are respective angle bisectors.

5.   Any two adjacent angles add up to 180 degrees.

6.  The area of the rhombus is a product of the lengths of the 2  diagonals divided by 2.  

Properties of rectangle:

1.  Opposite sides are equal in length.

2.  All the angles are 90°.

3.  Diagonals bisect each other.

4.  Any two adjacent angles add up to 180 degrees.

Hence, the common properties are

1.  Opposite angles are equal in measure.

and

2. Diagonals bisect each other.

3. Any two adjacent angles add up to 180 degrees.

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Answer: the first one is 30 ml

Answer:17/30 lbs

Step-by-step explanation:

The required amount to be paid into the fund each period is $1535.21. which the correct answer would be option (B).

Lee Associates borrowed $60,000 in total. The corporation intends to establish a sinking fund to repay the debt after 12 years.

Assuming a semiannual compounding rate of 8%,

As per the given information, the required solution would be as:

Amount to be paid into the fund each semi-annual period will be

= Loan Amount/((1+r/2)²ⁿ⁻¹)/(r/2))

= 60000/(((1+8%/2)²ˣ¹²⁻¹)/(8%/2))

= $1535.21

Thus, the required amount to be paid into the fund each period is $1535.21.

Hence, the correct answer would be an option (B).

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True statement for Protecting classified data is classified material must be appropriately marked.

Classified information being transmitted from one commission office to another shall be protected with a classified document cover sheet and hand delivered by an appropriately cleared person to another appropriately cleared person.

Classified information is material that a government body deems to be sensitive information that must be protected. Access is restricted by law or regulation to particular groups of people with the necessary security clearance and need to know, and mishandling of the material can incur criminal penalties.

Data classification is broadly defined as the process of organizing data by relevant categories so that it may be used and protected more efficiently. Data classification involves tagging data to make it easily searchable and trackable.  

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Watching basketball games and liking the flavor of coconut "are" independent events because the probability of a teenager from the group watching basketball games "is not equal to" the probability of a teenager from the group watching basketball games given that they like the flavor of coconut.

Independent events is the events which occur freely of each other. An event A is said to be independent of another event B if the probability of occurrence of one of them is not affected by the occurrence of the other.

We observe that the event of watching basketball games does not affect liking the flavour of coconut, hence they are independent events their probabilities are most likely not the same.

Therefore, we use "are" for the first statement to show the two events are independent and "is not equal to" for the probability statement.

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After reflecting the quadrilateral EFGH across the line y = 2, the x-coordinates of the corresponding points in the image and the preimage will be the same.

Generally,  Reflection is an isometry, which means that it preserves distance and angles. Therefore, the x-coordinates of the points in the image and the preimage will not be changed by the reflection. The y-coordinates will change since the reflection flips the points over the line of reflection.

For example, if quadrilateral EFGH has a vertex at (x, y), then the corresponding vertex in the image will be at (x, 2 - y). The x-coordinate remains the same, but the y-coordinate is reflected across the line y = 2.

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According to the T distribution, the correct option is (d) All the above

T distribution:

In statistics, t-distribution is used in all forms of t-tests. Where the T-tests are all classified as inferential statistical tests and will follow all of the same steps required to complete the process of null hypothesis significance testing. And it defines the exact shape of the t-distribution is governed by the degrees of freedom. And the t-distribution is associated with a degrees of freedom equal to the sample size minus a value of 1.

Given,

Here we need to find the correct option according to the T distribution.

As per the given options, the correct answer is best represented by option D. All of the above are correct.

Because, the t-distribution, along with the normal distribution, both assume data is normally distributed in the population.

When the sample size increases towards 30, the t-distribution will resemble the normal distribution, provided the data in the population is normally distributed.

If it is correct to state that the tails of the t-distribution are thicker compared to the normal distribution.

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An equation for the nth term of the arithmetic sequence is 2 + 0.5n.

What is an arithmetic sequence?

An arithmetic sequence is a set of integers where each term (except the first) is created by adding a fixed amount to the term before it.

Given, initial distance = 2 miles

Let n be each day on which he jogs one-half (1/2 = 0.5) mile.

Then, according to the question,

nth term = 2 + 0.5n

Hence, an equation for the nth term of the arithmetic sequence is 2 + 0.5n.

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Regroup means regrouping refers to rearranging integers into place value-based groupings to facilitate operations.

Given that,

We have to find what does it mean to regroup.

We know that,

When performing operations like subtraction and addition, regrouping is accomplished by creating groups of tens. Regrouping refers to rearranging integers into place value-based groupings to facilitate operations.

Because you must rearrange the numbers into place value to complete the procedure, it is known as regrouping. Regrouping is an excellent approach to simplify complicated mathematics, especially for kids. Regrouping with subtraction is sometimes referred to as "borrowing."

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Cumulative markup percent for department at the end  is 23.1%.

The men's furnishing department had an opening inventory of $168,000 at cost  with a markup of 48.5%

Cumulative markup is  the difference between the total wholesale cost and total retail price of all merchandise handled during a given period of time.

cumulative markup dollars are the total markup dollars on all merchandise for a selected selling period. To calculate cumulative markup dollars and cumulative markup percent, the following formulas are utilized by the retailer:

Cumulative Markup $ = Total Retail $ - Total Cost $

Cumulative Markup % = Cumulative Markup $ ÷ Cumulative Retail $

Steps for calculating cumulative markup percentage for the specified period of time:

Step 1. Calculate the unknown retail value for either opening inventory or purchases.

Step 2. Calculate total retail of opening inventory and purchases.

Step 3. Calculate the unknown cost value for either opening inventory or purchases.

Step 4. Calculate total cost of opening inventory and purchases.

Step 5. Calculate total markup dollars.

Step 6. Calculate cumulative markup percent for the specified period of time.

For opening inventory

retail = $168,000

cost = 168,000*48.5/100 = $81480

For purchases

retail = 80,000*52.5/100 = $42000

cost  = $80,000

total retail of opening inventory and purchase =

168,000+42000 = $210000

total cost of opening inventory and purchase =

81480+80,000 = $161480

total markup = total retail - total cost

total markup  = 210000-161480 = 48520

cumulative markup percent = (total markup/ total retail)

= (48520/210000)*100

= 0.23104761904*100

=23.1%

So cumulative markup percent for department at the end  is 23.1%.

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The composition of two isometries is an isometry.

Proof:

Let T1 and T2 be isometries. T1(A) = A' and T1(B) = B'. Therefore by isometry T1, AB = A'B'

T2(A) = A'' and T2(B) = B''. Therefore by isometry T2, AB = A''B''

T2 º T1 = T2(T1(A)) = T2(A') = A'''. T2 º T1 = T2(T1(A)) = T2(B') = B'''. Therefore under composition AB = A'''B''' and distance is preserved.

The inverse of an isometry is an isometry.

Proof:

Given T and isometry. This means T(A) = A' and T(B) = B' with AB = A'B'

The inverse of T, T⁻¹maps A' to A and B' to B, so A'B' maps to AB.

But A'B' = AB and so the inverse is an isometry

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The number of hours that plan A last is 1 hour and the number of hours that plan B last is 1 1/2 hours.

The first step is to form a system of equations using the information in the question:

3a + 8b = 15  equation 1

5a + 2b = 8 equation 2

Where:

The elimination method would be used to determine the required values

In order to determine the value of a, multiply equation 2 by 4

20a + 8b = 32 equation 3

Subtract equation 1 from equation 3 :

17a = 17

Divide both sides of the equation by 17

a = 17/17

a = 1 hour

Substitute for a in equation 1 :

3(1) + 8b = 15

3 + 8b = 15

8b = 15 - 3

8b = 12

b = 12 / 8

b = 1 4/8 = 1 1/2 hours

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The time is taken by the substance to decay, if A radioactive substance decays according to [tex]A = A_o \times e^{-0.0037t}[/tex] Where A₀ is the initial amount and t is the time in years. If A0=740 grams is  185.18 years.

Atoms in radioactive materials naturally decay. They are capable of emitting gamma radiation, beta radiation, and alpha radiation. They cannot be turned off, so controlling them is more challenging than controlling X-ray sources.

Given:

The initial amount, A₀ = 740 g,

The final amount, A = 373 g,

Calculate the time by using the formula given below,

[tex]A = A_o \times e^{-0.0037t}[/tex]

373 = 740 [tex]\times e^{-0.0037t}[/tex]

[tex]e^{-0.0037t}[/tex] = 373 / 740

[tex]e^{-0.0037t}[/tex] = 0.504

Taking log on both sides,

㏑ 0.504 - ㏑ 0.0037 = t

t = 185.18

Therefore, the time taken by the substance to decay if A radioactive substance decays according to A=A0e−0.0037t, where A0 is the initial amount and t is the time in years. If A0=740 grams is 185.18 years.

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The equation of the tangent line to the curve at the given point (−3, 3, 1) (asteroid) is y-[tex]\sqrt{3}[/tex] = [tex]\sqrt{3}(x+3)[/tex]

Applying implicit differentiation, the equation of the tangent line is given by:

y - [tex]\sqrt{3}[/tex] = [tex]\sqrt{3}[/tex] (x+3)

The equation of a line tangent to a function f(x) at a point (x0, y0) is given by:

y-y0 = f'(x0,y0)(x-x0)

In this problem, point (-3, [tex]\sqrt{3}[/tex]), thus x0 = -3, y0 = [tex]\sqrt{3}[/tex]

The function is:

[tex]x^{2} /3+ y^{2}/3 = 4\\[/tex]

To find the derivative, we have to apply implicit differentiation, thus:

[tex]2x/3* dx/dx + 2y/3*dy/dx = 0[/tex]

[tex]2y/3*dy/dx = -2x/3[/tex]

[tex]dy/dx = -x/y[/tex]

Thus:

[tex]f(-3, \sqrt{3)} = -(-3/\sqrt{3} * \sqrt{3}/\sqrt{3})[/tex] = [tex]\sqrt{3}[/tex]

Then, the equation to the line tangent is:

y-y0 = f'(x0,y0)(x-x0)

y-[tex]\sqrt{3}[/tex] = [tex]\sqrt{3}(x+3)[/tex]

Refer to this complete question:

Use implicit differentiation to find an equation of the tangent line to the curve at the given point x2/3 + y2/3 = 4 (−3, 3, 1) (asteroid).

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a) 270° counter clockwise rotation of figure 1

b) The image of point (-3,-4) is (3,4).

c) The new image of point (7,8) is (8,-7) after 90° degree clockwise rotation.

d) The new image of point (7,8) is (-8,7) after 90° degree anticlockwise rotation

e) The fig. abcd will moves to second quardent after 90° counter clockwise rotation.

f) The rotation angle of figure is 270° , in the counterclockwise direction about origin.

A rotation is an isometric transformation that turns every point of a figure through a specified angle and direction about a fixed point.

To describe a rotation, you need three things:

Direction (clockwise or counterclcokwise.

90 Degree Rotation:

When rotating a point 90 degrees counterclockwise about the origin of a point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative.

180 Degree Rotation :

When we rotating a point 180 degrees counterclockwise about the origin a point A(x,y) it becomes A'(-x,-y). So all we do is make both x and y negative.

We have given that,

a) The given figure is rotated aoround 90° clockwise or 270° counter clockwise.

b) A point (-3,-4) is rotated around the origin 180 degrees , then the new point or position after the rotation is (3,4).

c) Rotate the point (7 , 8) around the origin 90 degrees , the new point or image of (7,8) is ( 8,-7).

d) If a point (7,8) is rotate around the origin 90 degrees counterclockwise then new point is (-8,7).

e) If you were to rotate abcd 90 degrees counterclockwise then the image of figures abcd will enter in quadrent 2nd with all coordinate changes.

f) when a figure is rotated in counterclockwise rotation about the origin the angle of rotation is 270 degrees.

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Answer:

D: f(x) · g(x) =12x^2-25x+12

Step-by-step explanation:

we multiply the 2 equations

(3x-4)(4x-3)

12x^2-9x-16x+12

12x^2-25x+12

so d is the answer

hopes this helps please mark brainliest

The restriction on the variables x and y are given as follows:

x ∈ W, y ∈ W.

The three sets of numbers that appear in this problem are given as follows:

The number of tickets sold cannot assume decimal values, hence we know two things:

The number of tickets also assumes only values of zero or positive numbers, they cannot be negative, hence it is a whole number and the second option is correct.

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Answer:

26

Step-by-step explanation:

Answer: X= -2

Step-by-step explanation:

Answer:

I hope the best for you

Step-by-step explanation:

have a good day :)!!

The volume of the tissue box is 85⅓ cubic inches.

The correct answer option is option D

Volume of the tissue box = Base area of the rectangular prism × Height of the rectangular prism

= 16 square inches × 5⅓ inches

= 85⅓ cubic inches

Therefore, the rectangular prism has a volume of 85⅓ cubic inches

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Answer:

400 square feet

Step-by-step explanation:

Answer:
a) Provider B would be cheaper
b) [tex]10m^3[/tex]

Step-by-step explanation:
a) Input 6 into both equations and solve. For Provider A, it would go like this: [tex]y = 6 + 15[/tex]. For Provider B, it would be this: [tex]y = 2(6) + 5[/tex]. The first provider adds up to £21 Pounds ($25.56 USD). The second provider adds up to £17 Pounds ($20.69 USD).

b) All you really need to do is just plug in numbers until both equations contain the same answer. The way I did it was: [tex]x + 15 = 2x + 5[/tex]. If your teacher asks how you got the answer, follow these steps:

[tex]x+15=2x+5\\x-5=2x-5\\x+10=2x[/tex]

The percentage of having a probability of a non-vowel letter is 44%

Probability is the measure of the likelihood that an event will occur in a given set of circumstances. It is a quantifiable measure of the chance of something happening. Probability is expressed as a number between 0 and 1 (or 0% to 100%) where the higher the number, the more likely the event is to occur.

The probability to select a vowel letter is = 15 + 22 + 11 + 6 + 2 = 56%

The probability of selecting any vowel is 56%

In the English alphabet, we have 26 letters and 5 vowel letters.

The probability of not having a vowel letter is calculated as;

26 - 5 = 21

P = 21 / 28

In percentage, we can simply say the probability of having a non-vowel is 100 - 56 = 44

The percentage of having a non-vowel is 44%

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Answer: Barry's Swimwear sold a greater fraction of the bathing suits in stock as long as the store had fewer than 72 bathing suits in stock.

Step-by-step explanation:

Barry's Swimwear sold 15 out of an unknown number of bathing suits in stock, so we can express this fraction as 15/x, where x is the total number of bathing suits in stock at Barry's Swimwear. Similarly, Philip's Sun Wear sold 5 out of 72 bathing suits in stock, so we can express this fraction as 5/72.

To compare these two fractions, we need to express them with a common denominator. One way to do this is to find the least common multiple of the two denominators, which in this case is 72. To express 15/x with a denominator of 72, we can multiply both the numerator and the denominator by a factor of 72/x. This results in the fraction 15*(72/x)/72 = 15/x. Similarly, we can express 5/72 with a denominator of 72 by multiplying both the numerator and the denominator by a factor of 72/72, which results in the fraction 5*(72/72)/72 = 5/72.

Now that we have both fractions expressed with a common denominator of 72, we can compare them directly. 15/x is greater than 5/72 as long as x is less than 72. This means that Barry's Swimwear sold a greater fraction of the bathing suits in stock as long as the store had fewer than 72 bathing suits in stock.

Answer:

Point slope: y - 115 = 2(x -30)

Slope intercept: y = 2x + 55

Step-by-step explanation:

I choice the first point to write the equation in the point slope form of a line.

(30,115)

Slope is the change in y over the change in x.  I see that the y's are increasing by 10, while the x's are increasing by 5

10/5 = 2

The slope is 2

y = y = m( x + x)

y - 115 = 2(x - 30)

Slope intercept form of a line

We already found the slope to be 2.  Use the slope and the point (30,115) to find x

y = mx + b

115 = 2(30) + b

115 = 30 + b    Subtract 30 from both sides

55 = b

y = 2x + 55

Rounded to the nearest cent, the final value of Irlene's investment at the end of the third year is $4,431.78.

A percentage of the principal, or the amount loaned, is what a lender charges a borrower as interest. The annual percentage rate, or APR, is the usual unit used to express the interest rate on a loan (APR).

To calculate the value of Irlene's investment at the end of the third year, you can use the formula for compound interest:

FV = PV * (1 + r/n)^(n*t)

Where:

FV is the future value of the investment (what you want to find)

PV is the present value of the investment (the initial amount, $3,500)

r is the annual interest rate (the rate for the third year is 5.25%)

n is the number of compounding periods per year (for the first year it was 2, for the second year it was 2, and for the third year it was 4)

t is the number of years the money is invested (3 years in this case)

Plugging the values into the formula, you get:

FV = $3,500 * (1 + 5.25%/2)^(23) * (1 + 5.25%/4)^(41)

= $3,500 * (1.0263)^6 * (1.0131)^4

= $3,500 * 1.1496 * 1.0534= $4,431.77

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