Suppose that 60% of students live in AnyTown. Find the probability that:
Round to three decimals.
A) Exactly 5 out of 10 randomly chosen students live in AnyTown
B) More than 5 students out of 10 live in AnyTown
C) The first AnyTown resident you find is the 5th person you ask

Answer:

\(\frac{8}{x}\)

Step-by-step explanation:

what is the sum 3/x+9+5/x-9

\(\frac{3}{x} + 9 + \frac{5}{x} - 9 =\)     (add \(\frac{3}{x}\) and \(\frac{5}{x}\))

\(\frac{8}{x} + 9 - 9 =\)            (solve 9 - 9 = 0)

\(\frac{8}{x}\)                           ( your answer)

Answer:

you multiply

Step-by-step explanation: itss easy just multiply it

Answer:

(-13.98 ; - 0.022)

Step-by-step explanation:

Given :

____Today __ Five years ago

xÌ ___ 82 _____ 89

s ___ 161 _____181.5

n ___ 46 _____ 33

Sunce the sample. Size are large ; n > 30 ;

(x1 - x2) ± Zcritical * standard error

Zcritical at 98% confidence interval = 2.326

(x1 - x2) = 82 - 89 = - 7

Standard Error = 3

Hence ; we use the Z distribution

-7 ± 2.326 * 3

-7 ± 6.978

Lower boundary = (-7 - 6.978) = - 13.978

Upper boundary = (-7 + 6.978 = - 0.022

(-13.98 ; - 0.022)

Option 2 is correct.

The axis of symmetry is, x= 3

Step-by-step explanation:

Given: The zeros of the quadratic function f are 1 and 5.

If the zeroes are at x =1 and at x  =5, then,

the factor equations were  x- 1=0 and x-5 = 0.

Then. the factors were x -1 and x-5 .

Any factorable quadratic is going to have just the two factors, so these are must be them.

Then, the original quadratic was :

or

     [by distributive property  ]

Combine like terms;

               ......[1]

A quadratic equation is of the form: ; where a, b, c are the coefficient ]

On comparing equation [1] with general equation we have;

the value of  a = 1 , b = -6 and c =5

Axis of symmetry states that a parabola is a vertical line that divides the parabola into two congruent halves.

i,e

Then;

Axis of symmetry (x) =

Therefore, the equation of the axis of symmetry is;  x = 3

Answer:

84

34

27

Step-by-step explanation:

Answer:

she should use 2 cups of peanut butter

Step-by-step explanation:

to know the answer to that

use this equation (pb is peanut butter &o is oil)

1cup of pb=1/2 cup of o

?=1 cup of o

1×1÷1/2= 1×1×2/1=2co cups of pb

Answer:

B. 9\(\frac{1}{2}\)

Step-by-step explanation:

Rewriting the two fractions in the expression:

=\(\frac{[(8)(2)]+1}{8} + \frac{[(8)(7)]+3}{8}\)

=\(\frac{17}{8} + \frac{59}{8}\)

Since the denominators of both the fractions is the same, then the denominator of the resulting simplified fraction will also be the same. In addition, everything written in the numerator level will be copied down as it is:

=\(\frac{17 + 59}{8}\)

=\(\frac{76}{8}\)

Divide the numerator and denominator by the Highest Common Factor '4':

= \(\frac{19}{2}\)

Apply Long Division since:

Choose the highest quotient to be multiplied by 2 to give a number closest to 19 but still less than 19. The quotient turns out to be 9. The remainder is 1

∴ Sum of the expression = 9\(\frac{1}{2}\)

Answer:

A.46.05(subtract from the bank account)

Answer: B. Take on a risky loan just to get your credit started.

Step-by-step explanation: Taking on a risky loan, such as a high-interest loan or one with unfavorable terms, can have significant negative impacts on your financial well-being.  It's crucial to exercise caution and choose loans that are manageable for your financial situation.

Financial strain: Risky loans often come with high-interest rates, meaning you'll end up paying more in interest over time.  This can lead to financial strain as a substantial portion of your income may be allocated towards loan repayments.  It's important to consider the monthly payment amount and ensure it fits within your budget.

Difficulties in repayment: Risky loans can make it difficult to meet your repayment obligations.  If you struggle to make timely payments, you may face penalties, late fees, and damage to your credit score.  This can have long-term consequences, making it harder for you to secure future loans or rent an apartment.

To avoid these risks and maintain good credit:

Loan selection: Carefully evaluate the terms and conditions of any loan before accepting it.  Look for options with reasonable interest rates, favorable repayment plans, and borrower protections. Federal student loans, scholarships, grants, and work-study programs should be prioritized before resorting to private loans, which often have higher interest rates and fewer benefits.

Responsible credit behavior: Building and maintaining good credit is crucial for your financial future.  Paying your bills on time and managing credit card balances wisely are key components of responsible credit behavior.  This demonstrates to lenders that you are reliable and trustworthy, increasing your chances of obtaining favorable loan terms in the future.

By being cautious in loan selection and practicing responsible credit behavior, you can avoid the negative consequences of risky loans, protect your financial well-being, and establish a solid credit foundation. Remember to prioritize loans within your means and always be mindful of your financial situation.

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The solution to the proportion  4/(x+1) = 3/(x+2) is x = -5 and

The solution to the proportion  x/(x+3) = (x-2)/x is x = 2.

A quadratic polynomial is a polynomial of degree 2, which means that the highest power of the variable in the polynomial is 2. A quadratic polynomial can be expressed in the general form:

a\(x^2\) + bx + c

where a, b, and c are constants, and x is the variable.

In this form, coefficient a is the leading coefficient, and it determines the concavity of the quadratic function. If a is positive, the function is concave up, meaning that it opens upward and has a minimum value. If a is negative, the function is concave down, meaning that it opens downward and has a maximum value.

The quadratic polynomial is named as such because it is a polynomial of degree 2, and the term "quad" means "square." The quadratic function is commonly seen in geometry, algebra, and physics, and it has many applications in real-life problems, such as finding the maximum or minimum values of a function, determining the trajectory of a projectile, and modeling certain natural phenomena.

Quadratic polynomials can be solved by various methods, including factoring, completing the square, and using the quadratic formula.

To solve the proportion 4/(x+1) = 3/(x+2), we can cross-multiply to get:

4(x+2) = 3(x+1)

Expanding the brackets gives:

4x + 8 = 3x + 3

Subtracting 3x from both sides gives:

x + 8 = 3

Subtracting 8 from both sides gives:

x = -5

To solve the proportion x/(x+3) = (x-2)/x, we can cross-multiply to get:

\(x^2\) - 2x = (x+3)(x-2)

Expanding the brackets gives:

\(x^2\)- 2x = \(x^2\) + x - 6

Subtracting\(x^2\) from both sides gives:

-2x = x - 6

Subtracting x from both sides gives:

-3x = -6

Dividing both sides by -3 gives:

x = 2

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Designing an easy do-it-yourself compost bin:

Drawing and Description:

The compost bin can be a simple structure made of wood or wire mesh. It consists of four sides, a bottom, and a removable lid. The sides and bottom are connected securely to form a rectangular shape, while the lid allows for easy access to the contents inside.

The bin can be placed directly on the ground or on a solid surface, depending on personal preference.

Materials Used:

Wood or wire mesh (depending on preference)

Nails or screws to assemble the structure

Size of the Bin:

The size of the bin can vary based on the available space and the amount of compostable materials you generate. A suitable size for a home compost bin could be approximately 3 feet wide, 3 feet deep, and 3 feet tall.

Substances Used to Fill It:

To fill the compost bin, you would need a mix of "green" and "brown" materials. "Green" materials include fruit and vegetable scraps, coffee grounds, tea leaves, grass clippings, and plant trimmings. "Brown" materials consist of dry leaves, shredded newspaper, cardboard, and small twigs.

Household Items That Can Go in It:

You can add a variety of household items to the compost bin, such as fruit and vegetable peels, eggshells, coffee grounds, tea bags, yard waste (leaves, grass clippings, plant trimmings), shredded paper, cardboard, and natural fibers (like cotton or wool scraps).

Time for Compost to Be Ready:

The time it takes for the compost to be ready varies depending on factors like temperature, moisture, and the type of materials used. Generally, it takes about 2 to 6 months for compost to fully decompose and become ready to use.

Using the Compost:

Once the compost has broken down into a dark, crumbly, and earthy material, it is ready to use. You can spread it in your garden beds or pots as a nutrient-rich soil amendment. It improves soil structure, retains moisture, and provides essential nutrients for plants' growth.

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Answer:

Step-by-step explanation:

Probability is defined as the likelihood or chance that an event will occur.

Probability = Expected outcome/Total outcome

probability = n{E}/n{S}

n(E) is the total number of events

n{S} is the total number of sample space.

For a coin that is tossed 3times, the possible outcome are:

S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

The total number of sample space is n(S) = 2³ = 8

n{S} = 8

a) probability of getting two heads.

Events E = {HHH, HHT, HTH, THH}

n(E) = 4

Pr(getting two heads) = 4/8 = 1/2

b) probability of getting one head.

Events E = {HTT, THT, TTH}

n(E) = 3

Pr(getting one head) = 3/8

c) probability of getting at least one head means probability of getting 1 head and more but not less than a head.

Events E = {HHH, HHT, HTH, HTT, THH, THT, TTH}

n(E) = 7

Pr(getting at least one head) = 7/8

d) probability of getting at least two heads means probability of getting 2 head and more but not less than 2 head.

Events E = {HHH, HHT, HTH, THH}

n(E) = 4

Pr(getting at least two head) = 4/8 = 1/2

Find the tree diagram in the attachment below.

Answer:

The team converted 7 3-point shots, 28 2-point shots, and 17 foul shots.

Step-by-step explanation:

Since a basketball team recently scored a total of 94 points on a combination of 2-point field goals, 3-point field goals, and 1-point foul shots, and altogether, the team made 52 baskets and 11 more 2-pointers than foul shots, to determine how many shots of each kind were made, the following calculations must be performed:

19 x 3 + 22 x 2 + 11 x 1 = 57 + 44 + 11 = 112

9 x 3 + 27 x 2 + 16 x 1 = 27 + 54 + 16 = 97

7 x 3 + 28 x 2 + 17 x 1 = 21 + 56 + 17 = 94

Therefore, the team converted 7 3-point shots, 28 2-point shots, and 17 foul shots.

The average rate of change of the school's enrollment during this time period is -49 students per year. This means that on average, the enrollment at the college has been decreasing by 49 students per year.

To determine the average rate of change of the school's enrollment during the given time period, we can use the formula:

Average rate of change = (Change in enrollment) / (Change in time)

The change in enrollment is calculated by subtracting the initial enrollment from the final enrollment, while the change in time is calculated by subtracting the initial year from the final year.

Given that in 2004 there were 975 students enrolled and in 2009 there were 730 students enrolled, we can calculate the change in enrollment:

Change in enrollment = 730 - 975 = -245 students

The change in time can be calculated as:

Change in time = 2009 - 2004 = 5 years

Now we can calculate the average rate of change:

Average rate of change = (-245 students) / (5 years) = -49 students per year

Therefore, the average rate of change of the school's enrollment during this time period is -49 students per year. This means that on average, the enrollment at the college has been decreasing by 49 students per year.

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Answer:

I think 22.2814177

Step-by-step explanation:

I used 3.14 that's what my teachers tell me to use sorry if it's wrong

Answer: 22.2927232313

Step-by-step explanation: *Pi = 3.14159265359

                                              *3.14159265359 x 2444.57 = 7,679.84315319

                                               *7,679.84315319 ÷ 344.5 = 22.2927232313

    Hence, 22.2927232313 = 3.14159265359 x 2444.57 ÷ (344.5)

Answer:

$3.50

Step-by-step explanation:

Answer:

Step-by-step explanation:

Alonzo has spent $22 on gifts so far, and he plans to spend at most $30 in total. Therefore, he can spend at most:

$30 - $22 = $8 more

We can represent the additional amount Alonzo will spend as c, where c is between 0 and 8 dollars. Then we can write the inequality:

0 ≤ c ≤ 8

This means that c can be any value between 0 and 8, inclusive. Therefore, the possible additional amounts Alonzo will spend are between $0 and $8, inclusive.

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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The area of the circle circumscribed about the right triangle with legs 6 and 8 is approximately 78.54 square units.

To find the area of the circle circumscribed about a right triangle, we can use the fact that the diameter of the circle is equal to the hypotenuse of the right triangle. In this case, the legs of the right triangle are given as 6 and 8.

Using the Pythagorean theorem, we can find the length of the hypotenuse:

\(c^2 = a^2 + b^2\)

where c is the length of the hypotenuse, and a and b are the lengths of the legs.

Substituting the values:

\(c^2 = 6^2 + 8^2\)

\(c^2 = 36 + 64\\ c^2 = 100\)

Taking the square root of both sides:

\(c = \sqrt{100} \\ c = 10\)

Therefore, the length of the hypotenuse is 10 units.

Since the diameter of the circumscribed circle is equal to the hypotenuse, the radius of the circle is half the length of the hypotenuse, which is 10/2 = 5 units.

Now we can calculate the area of the circle using the formula:

Area = π \(r^2\)

where r is the radius of the circle.

Area = π \(5^2\)

Area = π × 25

Area = 78.54 square units

Hence, the area of the circle circumscribed about the right triangle with legs 6 and 8 is approximately 78.54 square units.

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Step-by-step explanation:

As a salesperson at Trading Cards Unlimited, Justin receives a monthly base pay plus commission on all that he sells. If he sells $400 worth of merchandise in one month, he is paid $384. If he sells $700 of merchandise in one month, he is paid $447.

Answer:

Step-by-step explanation:

To solve this problem, we can set up a system of two equations with two variables. Let x be Justin's base pay for the month and y be the commission rate he receives for each dollar of merchandise sold. Then we have:

400y + x = 384 (equation 1)

700y + x = 447 (equation 2)

To solve for x and y, we can use the method of substitution. Solving equation 1 for x, we get:

x = 384 - 400y

Substituting this expression for x into equation 2, we get:

700y + (384 - 400y) = 447

Simplifying and solving for y, we get:

300y = 63

y = 0.21

Substituting this value of y into equation 1, we can solve for x:

400(0.21) + x = 384

x = 304.80

Therefore, Justin's base pay for the month is $304.80 and he receives a commission of 21% on all merchandise sold.

Numbers between 2.6×10^-1 and 29.5% are

2.6 × 10^-1 in exponential form written in decimal as 0.26

29.5% in percentage written in decimal as 0.295

2/7 in fraction written in decimal as 0.2857

2.8%  in percentage written in decimal as 0.028

0.2875 already in decimal form

the problem asks of numbers from 0.26 to 0.295

comparing the numbers shows that the numbers in this range are

0.2875 and 2/7

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The figure that shows a reflection of pre-image ABC over the y-axis is Figure D, which has negative x-coordinates for each point.

A figure's reflection over the y-axis is obtained by flipping the figure across the y-axis. This means that each point's x-coordinates are negated while its y-coordinates remain unchanged.

We can see from the figures in the image that the pre-image ABC has positive x-coordinates, and a reflection over the y-axis results in a new image with negative x-coordinates.

As a result, Figure D, which has negative x-coordinates for each point, depicts a reflection of pre-image ABC over the y-axis.

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The following is provided: parallelogram ABCD

The following is what we must demonstrate: segments AB, CD, and BC, and segment AD.

According to the definition of a parallelogram, section BC is parallel to segment AD since ABCD is a parallelogram.

The definition of a parallelogram is that segment AB is parallel to segment DC.

Segments BC and AD are transverse to line AC. As illustrated below, this transversal generates the alternate interior angles 1 and 4, which are equivalent.

In the same way, segment AB and segment DC are transversals for line AC. Alternate interior angles 2 and 3 are produced by this transversal, and they are equivalent.

Segment AC is also divided into segments by its reflexive property.

∠1 ≅ ∠ 4

∠2 ≅ ∠ 3

AC segment AC segment

Triangle ABC triangle ADC, by ASA

In light of the fact that similar parts of congruent triangles are also congruent, segment AB segment CD and segment BC AD.

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Answer:

I believe it is y=1x or y=x

Answer:

14

Step-by-step explanation:

The constant of proportionality is the y number when x is 1.  Look on the bottom of the graph.  Find 1, so up to the line and then across left to the y axis.  you will be at 14.  This means that every time the x increases by 1, the increases by 14

Answer:

232

Step-by-step explanation:

[8*10*2]+[10*3]+[6*3]+[8*3] = 232

The actual pressure when the gauge shows 33.58 would be 36.5.

Used the concept of the percentage that states,

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating the hundredth part of any quantity is called a percentage.

Given that,

Ali's tire pressure gauge shows a reading which is \(8 \%\)lower than the actual pressure.

And, the gauge shows \(33.58.\)

Let us assume that,

The actual pressure of Ali's tires = x

Hence, we can formulate the equation,

\(x \times (1 - 8\%) = 33.58\)

Solve the equation for x,

\(x \times (1 - \dfrac{8}{100} ) = 33.58\)

\(x \times (1 - 0.08) = 33.58\)

\(x \times 0.92 = 33.58\)

Divide both sides by 0.92;

\(x= \dfrac{33.58}{0.92}\)

\(x = 36.5\)

Therefore, The actual pressure of Ali's tires = 36.5

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The complete question is,

Ali's tire pressure gauge shows a reading which is 8% lower than the actual pressure.

What is the actual pressure of Ali's tires when the gauge shows 33.58?

Answer:

A)

Step-by-step explanation:

Trust