A cellphone provider has the business objective of wanting to estimate the proportion of subscribers who would upgrade to a new cellphone with improved features if it were made available at a substantially reduced cost. Data are collected from a random sample of 500 subscribers. The results indicate that 105 of the subscribers would upgrade to a new cellphone at a reduced cost. Complete parts (a) and (b) below a. Construct a 99% confidence interval estimate for the population proportion of subscribers that would upgrade to a new cellphone at a reduced cost. << (Round to four decimal places as needed.)

Answer:

●an employer-offered retirement account that accepts contributions from employees and employers - 401(k)

●a tax-deferred retirement savings plan available to employees of some nonprofit - 403(b)

●a tax-advantaged college savings plan- 529 plan

●a tax-advantaged savings account available through employers to pay for qualified medical expenses- health FSA

Step-by-step explanation:

●401(k): Retirement

A 401(k) is one of the most well-known tools for retirement savings. A 401(k) is an employer-sponsored retirement plan that allows employees to contribute money on a pre-tax basis. Your contributions and earnings are not taxed until you start making withdrawals.

●403(b): Retirement

Like 401(k) accounts, a 403(b) is a form of an employer-sponsored retirement account. If you work for a public school, university, or non-profit organization, you may be eligible for a 403(b) account.

With a 403(b), you make contributions before taxes are taken out of your paycheck. You don’t pay taxes on the contributions .

● ROTH IRA: Retirement

A Roth IRA works differently than a Traditional IRA. Your contributions are not tax-deductible, and you make contributions with after-tax dollars. However, Roth IRAs offer a unique advantage: your earnings and withdrawals are tax-free. Roth IRAs have the same contribution limits as Traditional IRAs.

● 529 Plan: Education

A 529 education savings plan is a tool you can use to save for your child’s college tuition and fees. The money you invest can grow over time, and if the money is withdrawn to pay for qualified educational expenses, earnings are not subject to federal income tax. Depending on your state, your contributions may also be tax-deductible.

While 529 plans do not have contribution limits, contributions toward a 529 plan count as gifts and are subject to gift-tax laws.

● Flexible Spending Accounts: Health

Some employer-offered health insurance plans include flexible spending accounts (FSAs). With an FSA, you make pre-tax contributions into a separate account to use for health expenses. You can use your FSA dollars to purchase prescription and over-the-counter medications, pay your deductibles or coinsurance, and purchase medical supplies.

Answer:  \(6\sqrt{5}\)  miles

This is the same as writing 6*sqrt(5) miles

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

Work Shown:

P = park

C = city hall

Point P is at the location (10,11)

Point C is at the location (7,5)

Apply the distance formula to find the length of segment PC

\(d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(10-7)^2 + (11-5)^2}\\\\d = \sqrt{(3)^2 + (6)^2}\\\\d = \sqrt{9 + 36}\\\\d = \sqrt{45}\\\\d = \sqrt{9*5}\\\\d = \sqrt{9}*\sqrt{5}\\\\d = 3\sqrt{5}\\\\d \approx 6.7082039\\\\\)

The exact distance between the park (P) and city hall (C) is \(3\sqrt{5}\) miles.

This doubles to \(2*3\sqrt{5} = 6\sqrt{5}\) miles because the runners go from P to C, then back to P again. In other words, they run along segment PC twice. This is assuming there is a straight line road connecting the two locations.

Extra info:

\(6\sqrt{5} \approx 13.41641\) so the runner travels a total distance of roughly 13.4 miles.

To duplicate angle ABC, draw a line segment, position the compass on point A, and then draw an arc that intersects the line segment. Next, position the compass on point B, and then draw a second arc that intersects the first arc at a point on the line segment. Finally, position the compass on the point where the two arcs intersect, but without changing the width, and draw a third arc that intersects the line segment.

When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together. The Latin word "angulus," which means "corner," is where the term "angle" originates.

Common instruments used to measure angles are:

1. Protractor

2.Compass

3.Digital Angle finder

4.Angle finder

5.Clinometer

6. Inclinometer

You can take the following actions to copy angle ABC:

Create a line segment that will serve as the foundation for the new angle you're going to create.

Draw an arc that crosses the line segment you produced in step 1 by positioning the compass on point A.

Draw a second arc that crosses the previous arc at a point on the line segment by setting the compass on point B.

Place the compass on the intersection of the two arcs without adjusting the compass's width, then create another arc that crosses the line segment.

Point D is where the second arc crosses the line segment. To finish the new angle, join points D and C.

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The cost function C(x) is given by C(x) = 1,600,000x - 50,000x + $500,000.

The marginal cost function C'(x) is given by the derivative of the cost function, which is C'(x) = 1,600,000 - 50,000.

The average cost function C(x) is given by C(x) = C(x)/x = (1,600,000x - 50,000x + $500,000)/x.

The cost function represents the total cost of airing x 30-second television spots during the Academy Awards, taking into account the variable cost (1,600,000x - 50,000x) and the fixed cost ($500,000). The marginal cost function represents the change in the cost as the number of 30-second spots changes, and it is a constant value of 1,550,000 dollars. The average cost function represents the cost per 30-second spot and decreases as the number of spots increases.

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Answer:

\(x\geq 15\)

Step-by-step explanation:

Samuel wants at least 15 grams

Let's expand on "at least 15"

It means that Samuel wants no less than 15, but 15 or more

It could be 16, but not 14

To create an inequality, 15 or more can be written as \(x\geq 15\) (x is 15 more more)

The answer is \(x\geq 15\)

Hope this helps :)

Have a nice day!

Answer:

Step-by-step explanation:

Note:

Circumference of a circle = \(\pi d\)

Where d = diameter

We are given the diameter is 20cm, d = 20

Circumference of circle = \(\pi d\) = 20 \(\pi\)

Also, perimeter of a rectangle = 2 times length + 2 times width

We are told the length = 18 , width = x

Perimeter of rectangle = 2 times 18 + 2 times x

Perimeter of rectangle = 36 + 2x

The question also tells us that the circumference of the circle is EQUAL to the perimeter of the rectangle:

So this means:

Since Circumference of circle = 20\(\pi\)  ,

Perimeter of rectangle = 36 + 2x .

We can write:

Circumference of circle = perimeter of rectangle

20\(\pi\)   = 36 + 2x

Subtract 36 from both sides

20\(\pi\) - 36   = 2x

Divide both sides by 2 to solve for "x".

x = \(\frac{20\pi - 36 }{2} = ?\)

Plug it into your calculator and then just round it to 1 decimal place.

Answer:

4 = 90°

Step-by-step explanation:

If a box is drawn, that means it is 90 degrees exactly.

Angle 4 has that same box drawn, so that means it is 90°

I Hope That This Helps! :)

The equation 3+7+2=+2 is actually not true, but false.

The equation 3+7+2=+2 is actually not true, but false. This is because the sum of 3, 7, and 2 is 12, not 2.

In general, an equation is considered true if the expressions on both sides of the equal sign are equivalent in value. In this case, the expressions on the left-hand side (3+7+2) and the right-hand side (+2) are not equivalent, and therefore the equation is false.

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Answer:

11/18

Step-by-step explanation:

So, we know AB, BE, ED, and DA all have a length of 7 units because the square root of 49 is 7. Due to the Fact AG is 9 units, we can deduce that DG is 2 units, and DE is 7 units. If this is confusing, it helps to label the drawing or redraw it on a sheet of paper.

We can also prove that if AC = 10 units and AB = 7 units, BC must be 3 units by 7 units.

The smaller shaded region has an area of 2x7 =  14 units\(^{2}\)

The larger shaded region has an area of 3x7 = 21 units\(^{2}\)

The entire area of ACIG equals AC times AG, or 10x9 = 90 units\(^{2}\)

We must subtract the areas of the shaded region to find out how much space is being used.

90-14= 76

76-21= 55

This means 55/90 units are shaded. Let's find the simplest form...

55 and 90 have 5 as a common denominator. Divide both numbers by their common denominator, and you get:

11/18

Hope this helped!!

Answer:

D. \(\frac{(x-7)^2}{8^2} -\frac{(y-2)^2}{7^2}\)

Step-by-step explanation:

hope this helps

Answer:  D has the largest perimeter

Step-by-step explanation:

The top numbers of fractions describe the vertex and  the bottom number square rooted tells you how long each or wide each part of the asymptote rectangle is.

A.

P = 2(11) + 2(3)

P = 22+6

P=28

B.

P = 2(4) + 2(9)

p = 8 +18

P = 26

C.

P = 2(5) + 2(9)

P = 10 +18

P = 28

D.

P =  2(8) + 2(7)

P = 16 +14

P = 30

Answer:

x = 6       la cantidad de estantes

y = 65    cantidad de libros

Step-by-step explanation:

LLamemos "x" la cantidad de estantes que tiene Marta, y llamaremos "y" la cantidad de libros.

La primera condición que se debe cumplir es que cuando Marta coloca 12 libros en cada estante entonces le faltan 7, esto lo expresamos así:

y  +  7  = 12*x        (1)

La segunda condición establece que si Marta coloca los libros en número de 10 por estante le quedan 5 sin colocar, luego esto en lenguaje matemático se expresa así:

y  -   5   = 10*x     (2)

Ahora hemos obtenido un sistema de dos ecuaciones con dos incógnitas que se resuelve por cualquiera de los métodos conocidos, usaremos el método de sustitución.

Despejamos   y en la primera ecuación y lo sustituimos en la segunda, de esa forma obtendremos el valor de x

y  =  12*x  - 7

(12*x - 7 ) - 5  = 10*x

2*x  -12 = 0

2*x = 12

x = 6       la cantidad de estantes, y

y  =  12*x -7

y  =  72  -  7

y =  65    cantidad de libros

Answer:

Step-by-step explanation:

The answer is 12

Answer:

x=12

Step-by-step explanation:

\(\frac{5}{6}x+3=13\\\frac{5}{6}x+3-3=13-3\\\frac{5}{6}x=10\\6(\frac{5}{6}x)=10(6)\\5x=60\\(\frac{1}{5})5x=60(\frac{1}{5})\\x=12\)

Answer:

F (x) = 16 (3/2) x-1  

Step-by-step explanation:

The answer is B  

Answer: 48

Step-by-step explanation:

Add 42 with the right angle CRX= 90. After adding 90 and 42 together, use the total and then subtract 180 to get your answer.

Answer:

337.5

Step-by-step explanation:

direct variation means y=kx (inverse variation is yx=k or y=k/x)

so we are given that:

75=k/2, so k=150 which means:

y=150x  now

y(2.25)=150(2.25)=337.5

Hope this helps

Answer:

its the third answer

Step-by-step explanation:

The third anwser is 66% which we can noow nominate any lower.

The second answer is 60% we can get rid of that.

the first is 55% we can get rid of that.

and the fourth is 62.5% so we can get rid of that.

Answer:

the third one or c

Step-by-step explanation:

Our answer of 91 questions is correct. Aayan took a test with a total of 91 questions.

To solve this problem, we can set up a proportion based on the information given and use algebra to find the total number of questions on the test.

Let's denote the total number of questions on the test as 'x'. We know that Aayan got 5/7 of the questions correct, which means he got 5/7 of the total number of questions correct.

We can set up the proportion:

(5/7) = 65/x

To solve for 'x', we can cross-multiply:

5x = 7 * 65

5x = 455

Next, we divide both sides of the equation by 5 to isolate 'x':

x = 455/5

x = 91

Therefore, there were 91 questions in the test.

To verify our answer, we can check if Aayan getting 65 questions correct is indeed 5/7 of the total number of questions.

65 is indeed 5/7 of 91:

(5/7) * 91 = 65

Therefore, our answer of 91 questions is correct. Aayan took a test with a total of 91 questions.

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If B is the midpoint of AC and C is the midpoint of BD, then AB=CD.

Given that B is midpoint of AC and C is the midpoint of BD.

We are required to prove that AB is equal to CD.

Midpoint is the point which divides the line segment into two equal parts.

If B is midpoint of AC then,

2AB=AC-----1

2BC=AC-----2

If C is midpoint of BD then,

2BC=BD-----3

2CD=BD-----4

From 1 & 2

2AB=2BC

AB=BC

Put the value of BC from 3.

AB=BD/2

Now put the value of BD from 4.

AB=2CD/2

AB=CD

Hence proved

Hence if B is the midpoint of AC and C is the midpoint of BD, then AB=CD.

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What is Midsegment Theorem ?

The Midsegment Theorem, also known as the Midline Theorem or the Triangle Midsegment Theorem, states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and is half its length.

Explanation:
Here is the complete flowchart with the missing statements and reasons filled in:

Statement 1: Measure of angle ADE is 68 degrees.

Reason 1: Given.

Statement 2: Measure of angle DAE is 90 degrees.

Reason 2: Definition of right angle.

Statement 3: Measure of angle AED is 22 degrees.

Reason 3: Angle sum of triangle ADE is 180 degrees.

Statement 4: Segment DE joins the midpoints of segment AB and AC.

Reason 4: Given.

Statement 5: Segment DE is parallel to segment BC.

Reason 5: Midsegment theorem.

Statement 6: Angle ECB is congruent to angle AED.

Reason 6: Corresponding angles formed by parallel lines.

Statement 7: Measure of angle ECB is 22 degrees.

Reason 7: Substitution property.

So, statements 3 and 6, and reasons 3 and 6, respectively, can be used to fill in the blank spaces numbered 3 and 6, and statement 5 and reason 5 can be used to fill in the blank spaces numbered 4 and 5. Finally, statement 7 and reason 7 can be used to fill in the blank space numbered 7.

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The value of the random variable for this particular outcome of three colored dice are 1, 1.33, 1.667, 2, 2.33, 2.6667.

Let's assume the three colored dice are fair, meaning that each face has an equal probability of appearing when rolled. The dice have six faces numbered from 1 to 6.

Since we are interested in the average of the numbers on the dice, we need to find the sum of the numbers and divide it by 3 (the number of dice).

Now, let's consider all possible outcomes of the three dice rolls and calculate the average for each outcome:

When the outcome is (1, 1, 1):

The sum of the numbers on the dice is 1 + 1 + 1 = 3.

Therefore, the average is 3/3 = 1.

When the outcome is (1, 1, 2):

The sum of the numbers on the dice is 1 + 1 + 2 = 4.

Therefore, the average is 4/3 ≈ 1.3333.

When the outcome is (1, 1, 3):

The sum of the numbers on the dice is 1 + 1 + 3 = 5.

Therefore, the average is 5/3 ≈ 1.6667.

When the outcome is (1, 1, 4):

The sum of the numbers on the dice is 1 + 1 + 4 = 6.

Therefore, the average is 6/3 = 2.

When the outcome is (1, 1, 5):

The sum of the numbers on the dice is 1 + 1 + 5 = 7.

Therefore, the average is 7/3 ≈ 2.3333.

When the outcome is (1, 1, 6):

The sum of the numbers on the dice is 1 + 1 + 6 = 8.

Therefore, the average is 8/3 ≈ 2.6667.

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By solving some linear equations we can see that:

The first missing number is 5.

The second missing number is 9

Here we have a decomposition of the number 360, this means that if we define x as the missing number, then we must have that:

2*x*2*2*3*3 = 360

So we just need to solve this linear equation.

x*72 = 360

x = 360/72 = 5

x = 5

The missing number in the tree is 5.

Similarly, for the second tree if the missing number is y, we should have:

2*5*4*y = 360

40*y = 360

y = 360/40 = 9

The missing number is 9.

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The missing number for the subtraction of matrices is 4.

The subtraction of two matrices of the same size is really direct. You just need to subtract the elements that are in the same position, then:

\(A = \left[\begin{array}{ccc}a_{11}&a_{12}\\a_{21}&a_{22}\end{array}\right] \\\\B = \left[\begin{array}{ccc}b_{11}&b_{12}\\b_{21}&b_{22}\end{array}\right]\\\\A - B = \left[\begin{array}{ccc}a_{11} - b_{11}&a_{12}-b_{12}\\a_{21} - b_{21}&a_{22}-b_{22}\end{array}\right]\)

Then the missing therm will just be equal to the difference between the last two elements of each matrix:

-2 - (-6) = -2 + 6 = 4

The missing number is 4.

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Answer:

what functions?

Step-by-step explanation:

Answer:

The exponential function is that of decay

The percentage decrease is by 3%

Step-by-step explanation:

The exponential equation we are considering is;

y = 550(0.97)^x

Now to know if it’s decay or growth, we shall be considering what we have in the bracket

Mathematically, we can express 0.97 as follows

0.97 = 1-0.03

So what does this means? There is a decrease in subsequent values from one value of y to another.

This means that the equation is for decay as what the term raised to an exponent is less than 1.

Now we want to determine the percentage rate of increase or decrease

What we need to do is to represent the 0.03 difference in fraction

That would be 3/100

So this means that the percentage decrease is by 3%

Answer:

5,9

Step-by-step explanation:

Shaquille has the highest typing speed of 45 WPM, making him the fastest typist among the four individuals. Therefore, the answer is d).

To determine the fastest typist among Ella, Harper, Owen, and Shaquille, we need to calculate their typing speeds in words per minute (WPM). Typing speed is calculated by dividing the number of words typed by the minutes spent typing.

For Ella, she typed 640 words in 16 minutes, resulting in a typing speed of 640/16 = 40 WPM.

For Harper, she typed 450 words in 15 minutes, resulting in a typing speed of 450/15 = 30 WPM.

For Owen, he typed 560 words in 14 minutes, resulting in a typing speed of 560/14 = 40 WPM.

For Shaquille, he typed 540 words in 12 minutes, resulting in a typing speed of 540/12 = 45 WPM.

Comparing the typing speeds, we find that Shaquille has the highest typing speed of 45 WPM, making him the fastest typist among the four individuals.

Therefore, the answer is d) Shaquille.

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According to the information in the table, who is the fastest typist?

Words Typed by Four Typists

Typist         Words Typed       Minutes Typing

Ella                   640                             16

Harper            450                             15

Owen               560                              14

Shaquille        540                             12

a) Ella

b) Harper

c) Owen

d) Shaquille

Based on the data in the table, Ella is the fastest typist because she has typed 640 words in 16 minutes.

According to the table given, Ella is the fastest typist with a typing speed of 40 words per minute.

She typed a total of 640 words in 16 minutes which is twice the number of words typed by Harper, who is the second fastest typist.

Harper has a typing speed of 30 words per minute and typed 450 words in 15 minutes.

Owen and Shaquille have typing speeds of 28 and 45 words per minute, respectively.

Owen typed 560 words in 14 minutes, whereas Shaquille typed 540 words in 12 minutes.

Therefore, Ella is the fastest typist among all the typists mentioned in the table and Shaquille is the fastest among Owen and Shaquille.

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Answer:

its y= -0.3(x-2)^2-5

Step-by-step explanation: