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Nevaeh has a points card for a movie theater.
She receives 30 rewards points just for signing up.
She earns 12.5 points for each visit to the movie theater.
She needs at least 135 points for a free movie ticket.

Write and solve an inequality which can be used to determine vv, the number of visits Nevaeh can make to earn her first free movie ticket.

Complete Question

Educational Television In a random sample of 200 people, 159 said that they watched educational television. Find the 90% confidence interval of the true proportion of people who watched educational television. Round the answers to at least three decimal places.

Answer:

The 90% confidence interval is   \(0.748  <  p <  0.842\)      

Step-by-step explanation:

From the question we are told that

     The sample size is  n = 200

     The number of people that watched the educational television is \(k = 159\)

Generally the sample proportion is mathematically represented as

               \(\^ p = \frac{159}{200}\)

=>               \(\^ p = 0.795\)

From the question we are told the confidence level is  90% , hence the level of significance is    

      \(\alpha = (100 - 90) \%\)

=>   \(\alpha = 0.10\)

Generally from the normal distribution table the critical value  of  \(\frac{\alpha }{2}\) is  

   \(Z_{\frac{\alpha }{2} } =  1.645\)

Generally the margin of error is mathematically represented as  

     \(E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } \)

=>     \(E =  1.645  * \sqrt{\frac{0.795 (1- 0.795)}{200} } \)

=>     \(E = 0.04696 \)

Generally 95% confidence interval is mathematically represented as  

      \(\^ p -E <  p <  \^ p +E\)

=>    \(0.795  -0.04696  <  p <  0.795 + 0.04696\)

=>    \(0.748  <  p <  0.842\)      

Given the current yield to maturity of the bond, the price of the bond five years for now is $883.10.

The first step is to determine the yield to maturity of the bond. The yield to maturity is the return on the bond if the bond is held to matuity.

Yield to matuity can be determined using a financial calculator:

Cash flow in year 0 = -875

Cash flow each year from year 1 to 25 = 85

Cash flow in year 25 = $1000

Yield to matuity = 9.86%

Future price of the bond: (coupon x future price factor) + [FV / (1 + YTM)^n)]

Future price factor = [1 - (1/YTM)^n] / YTM

= [1 - 1/0.0986^20] 0.0986 = 8.595555

[85 x 8.595555 ] + 152.478323 = $883.10

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Answer:3/4

Step-by-step explanation:

3/4

Answer:

3/4

Step-by-step explanation:

We need to list out the factors of each number, find the greatest common factor, and then divide both sides of the fraction by this number to find the fraction's most simplified form. So, let's list the factors of each number:

93: 1, 3, 31, 93

124: 1, 2, 4, 31, 62, 124

Notice the number that I put in bold - 31. This is a factor that both 93 and 124 share that we can use to simplify it. So, let's divide the numerator and the denominator of the fraction by 31.

93 ÷ 31 = 3, and 124 ÷ 31 = 4. So, we are left with 3/4, which cannot be simplified any further.

Hopefully this is helpful! :)

Answer:

nanogon have 27 diagnals

Volume of the cylinder is 15197.60(to the nearest hundredth).

In mathematics, Cylinder is  the basic 3d shapes,  which has two parallel circular bases at a distance. The two circular bases are joined by a curved surface, at a fixed distance from the center which is called height of the cylinder.

Given that the radius of the cylinder  is 11yd.

and the height of the cylinder is 40yd.

Formula for the volume of cylinder  is π × r² × h where π=3.14, r= radius and h= height.

Putting the values we get,

Volume of the cylinder is = 3.14 × (11)² × 40 cubic yd.

                                          = 15197.6

Hence, Volume of the cylinder is 15197.60(to the nearest hundredth).

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If the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

It is given that, a certain truck traveled 7,605 miles in 15 days.

The average number of miles traveled per day is obtained by dividing the total distance traveled by the total time taken as,

Suppose the average number of miles traveled per day is x,

x=76015 / 15

x=507 miles per day.

Thus, if the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.

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The total value of the annuity in 16 years, with yearly payments of $693 and an interest rate of 5.3% compounded annually, is approximately $12,739.62.

To calculate the total value of the annuity in 16 years, we can use the formula for the future value of an annuity:

FV = P * ((1 + r)^n - 1) / r

Where:

FV is the future value of the annuity,

P is the yearly payment,

r is the interest rate per compounding period, and

n is the number of compounding periods.

In this case, the yearly payment (P) is $693, the interest rate (r) is 5.3% or 0.053, and the number of compounding periods (n) is 16.

Let's substitute these values into the formula and calculate the total value of the annuity:

FV = 693 * ((1 + 0.053)^16 - 1) / 0.053

FV = 693 * (1.053^16 - 1) / 0.053

Using a calculator, we can evaluate the expression inside the parentheses:

1.053^16 ≈ 1.9738

Substituting this value back into the formula:

FV = 693 * (1.9738 - 1) / 0.053

FV = 693 * 0.9738 / 0.053

FV ≈ 12739.62

Therefore, the total value of the annuity in 16 years, with yearly payments of $693 and an interest rate of 5.3% compounded annually, is approximately $12,739.62.

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Answer: \(g(-2)=2a\)

Step-by-step explanation:

\((f \cdot g)(-2)=f(-2)g(-2)\\\\\therefore a \cdot g(-2)=2a^2 \implies g(-2)=2a\)

The function g(-2) from the given functions is 2a.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given functions are f(-2)=a and (f·g)(-2)=2a².

Here, (f·g)(-2)=2a²

f(-2)·g(-2)=2a²

a·g(-2)=2a²

g(-2)=2a²/a

g(-2)=2a

Therefore, the function g(-2) is 2a.

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Answer: 116 Degrees

Step-by-step explanation:

540 is what the pentagon equals! You add up all of the sides, the square equals 90 degrees because it's a right angle. 121+115+98+90 equals 424. You subtract 540 - 424 and you get 116, which is x! Good luck!

The values of x and y using angle relationships are as follows:

When parallel lines are cut by a transversal, angle relationships are formed such as corresponding angles, alternate angles, linear angles, vertically opposite angles.

Therefore, the angle relationship can be used to find the value of x and y in the diagram.

In the diagram, l and m are parallel lines and are cut by a transversal line.

Therefore,

10.

10x - 17 = 8x + 1(alternate exterior angles are congruent)

10x - 8x = 1 + 17

2x = 18

x = 18 / 2

x = 9

8x + 1 + 6y + 29  = 180(sum of angles on a straight line is 180 degrees)

72 + 1 + 29 + 6y = 180

102 + 6y = 180

6y = 180 - 102

6y = 78

y = 78 / 6

y  = 13

11.

7x - 30 = 5x + 14(Corresponding angles)

Corresponding angles are congruent.

7x - 5x = 14 + 30

2x = 44

x = 44 / 2

x = 22

3y + 11 + 7x - 30 =  180(sum of angles on a straight line)

3y + 11 + 7(22) - 30 =  180

3y + 11 + 154 - 30 = 180

3y = 180 - 11 - 154 + 30

3y = 45

y = 45 / 3

y = 15

12.

7y - 23 = 23x - 16 (vertically opposite angles)

7y - 23x = 7

8x - 21 + 23x - 16 = 180 (same interior angles are supplementary)

31x  - 37 = 180

31x = 180 + 37

31x = 217

x = 217 / 31

x = 7

7y - 23(7) = 7

7y = 7 + 161

7y = 168

y = 168 / 7

y = 24

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Answer:

???

Step-by-step explanation:

1. 52 + 5 = 57

2. 57 × 12 = 684

3. Test it out

684 ÷ 12 = 57

which is wrong because of the remainder.

BUT the remainder is not possible because 12 was the number it was divided by and 12 can not go into 5

so either your question is wrong or my solution is wrong

The length of BD is 22.

In the given scenario, let's consider the following information.

AD = 8

AE = 6

EC is 12 more than BD.

To find the length of BD, we can utilize the Intercepted Arcs Theorem, which states that when two secants intersect outside a circle, the measure of an intercepted arc formed by those secants is equal to half the difference of the measures of the intercepted angles.

From the given information, we know that AD = 8 and AE = 6.

Since these are the lengths of the secants, we can use them to calculate the intercepted arcs.

First, let's find the intercepted arc corresponding to AD:

Intercepted Arc ADB = 2 \(\times\) AD = 2 \(\times\) 8 = 16

Similarly, we can find the intercepted arc corresponding to AE:

Intercepted Arc AEC = 2 \(\times\) AE = 2 \(\times\) 6 = 12

Now, we know that EC is 12 more than BD.

Let's assume the length of BD as x.

BD + 12 = EC

Now, let's consider the intercepted arcs theorem:

Intercepted Arc ADB - Intercepted Arc AEC = Intercepted Angle B - Intercepted Angle C

16 - 12 = Angle B - Angle C

4 = Angle B - Angle C.

Since Angle B and Angle C are vertical angles, they are congruent:

Angle B = Angle C.

Therefore, we can say:

4 = Angle B - Angle B

4 = 0

However, we have reached an inconsistency here.

The equation does not hold true, indicating that the given information is not consistent or there may be an error in the problem statement.

As a result, we cannot determine the length of BD based on the given information.

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Answer:

Not proportional

Step-by-step explanation:

Not proportional because the line has to go through the origin

The y-intercept has to be 0, but here it is given as -4

The graph goes 4 units below the origin on the y-axis.

The correct equation would be y = 3/7x

-Chetan K

Answer: 1134.11

A=3.14*r^2

Step-by-step explanation:

Answer:

a ≈ 1134.11 cm2

Step-by-step explanation:

The formula:

\(a=\pi r^{2}\)

\(a=\pi (19)^{2} =361\pi\)

\(a=1134.11cm^{2}\)

Hope this helps

Answer:

We can start by finding the combined fraction of the amount of money contributed by the three friends:

Sara pays 1/2 of the total cost, which is equivalent to 6/12.

Emma contributes 1/3 of the money, which is equivalent to 4/12.

Anna contributes 1/4 of the money, which is equivalent to 3/12.

Adding these fractions gives us:

6/12 + 4/12 + 3/12 = 13/12

This means that the total cost of the decorations plus tax is 13/12 of the original cost. Since they have exactly the right amount of money to pay for the decorations, we can infer that the tax is equal to 1/12 of the original cost. Therefore, the answer is A. 1/12.

If the cost of all the items before tax is $24.00, then we can calculate the amount of tax added by multiplying the cost by the fraction that represents the tax. From the previous question, we know that the fraction representing the tax is 1/12. Multiplying $24.00 by 1/12 gives:

$24.00 x 1/12 = $2.00

Therefore, the answer is B. $2.00.

Therefore, if the time is between 8:00 a.m. and 3:00 p.m., then people may make withdrawals or deposits at the bank.

This conclusion is based on the given premises that the bank is open during the time between 8:00 a.m. and 3:00 p.m. and that when the bank is open, people may make withdrawals or deposits. By combining these premises with modus ponens (a valid form of deductive reasoning), we can infer that if the time is within the bank's operating hours, then people may make withdrawals or deposits at the bank.

Answer:

the value of x is 85

Step-by-step explanation:

x+x+40+2x-20=360

4x=360-20

4x=340

x=340÷4

x=85

Answer:

X+X+40+2x-20=360(being complete angle)

2x+40+2x -20= 360

4x+20=360

4x=360 - 20

4x= 340

X=340÷4

X= 85

now putting the value of X

X+40

85+ 40

125

2x-20

2×85-20

170- 20

150

hope this answer will help you if it did then make me brainliest.

The difference in the addition of both fractions is that they have different lowest common multiples.

We want to add the fraction expression given as:

¹/₂ + ¹/₄

Taking the Lowest common multiple of 8, we have:

(4 + 2)/8 = 6/8

However, for the second fraction expression, we have:

¹/₂ + ¹/₃

Taking the lowest common multiple which is 6, we have:

(3 + 2)/6 = 5/6

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Answer:

Step-by-step explanation:

x² - 3x - 1 = 0

a = 1, b = -3, c = -1

x₁ = (3 + sqrt(-3² - 4(1(-1))))/(2(1))

x₁ = (3 + sqrt(9 + 4))/2

x₁ = (3 + sqrt(13))/2

x₁ = 3.302...

x₂ = (3 - sqrt(-3² - 4(1(-1))))/(2(1))

x₂ = (3 - sqrt(9 + 4))/2

x₂ = (3 - sqrt(13))/2

x₂ = -0.302...

Here, Angle 1 and angle 2, Angle 4 and angle 3 and Angle 7 and angle 5 are supplementary angles.

We need to identify which angle pairs are supplementary.

Supplementary angles are two angles with a sum of 180°.

Here, Angle 1 and angle 2, Angle 4 and angle 3 and Angle 7 and angle 5 are supplementary angles.

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Should be zero, I believe.

Step-by-step explanation:

in math its assured to have zero

Standard form = ax+by+c=0

= Writing the given eq. in standard form =

= y+7=-3x-3

= 3x+y+7+3=0

= 3x+y+10=0

Given that Ciera is creating a logo on the figure grid, let's find the area of inner square to the area of the outter square.

• Area of inner square:

Let's first find the length of one side of the inner square.

Take two end points:

(x1, y1) ==> (0, 4)

(x2, y2) ==> (4, 10)

Apply the distance formula:

The length of one side of the inner square is 7.2 units.

To find the area, apply the formula:

Where:

l = 7.2 units

We have:

Therefore, the area of the inner square is 52 square units.

• Area of the outer square:

From the graph, the length of one side of the outer square is:

L = 10 units.

The area will be:

The area of the outer square is 100 square units.

• Ratio of area of inner square to area of outer square:

For the ratio, we have:

Therefore, the ratio of the area inner square to the area of the outer square is 13 : 25

ANSWER:

The area of the inner square is: 52 square units

The area of the outer square is: 100 square units

The ratio of the area of the inner square to the area of the outer square is: 13 : 25

Step-by-step explanation:

The expression "F = {(x, y) : φ(x, y, p)}" represents a set of ordered pairs (x, y) that satisfy a condition defined by the function φ. The interpretation and nature of the set F depend on the specific function φ and the parameter p, which determine the relationship between the variables x, y, and p.

The expression "F = {(x, y) :  φ(x, y, p)}" represents a set F consisting of ordered pairs (x, y) that satisfy a particular condition defined by the function  φ, which takes the variables x, y, and p as inputs.

To fully understand the meaning of F, we need to delve into the function  φ and its relationship with the variables x, y, and p. The function φ could represent a wide range of mathematical relationships or conditions that determine the inclusion of certain pairs (x, y) in the set F.

For instance, let's consider a specific example where vraphi(x, y, p) is defined  φ(x, y, p) = \(x^2 + y^2 - p^2.\)In this case, F = {(x, y) : \(x^2 + y^2 - p^2\)= 0} represents a set of ordered pairs (x, y) that satisfy the equation \(x^2 + y^2 - p^2 = 0.\) This equation represents a circle with radius p centered at the origin (0, 0). Consequently, F corresponds to all the points lying on the circumference of this circle.

It is important to note that the specific meaning and implications of F heavily rely on the nature of the function  φ and the parameter p. Different functions and parameters will yield distinct sets F with their own unique characteristics and interpretations.

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Answer:

20%

Step-by-step explanation:

The theoretical probability of drawing a red marble can be found by dividing the number of red marbles by the total number of marbles in the bag:

P(red) = number of red marbles / total number of marbles

P(red) = 5 / (5 + 8 + 12)

P(red) = 5 / 25

P(red) = 0.2

So the theoretical probability of randomly drawing a red marble is 20%, which corresponds to option (C).

Answer:

Dont worry man take a deep breath just try your best and if worse case you do bad and on the test take your time and don’t feel pressured

Step-by-step explanation:

Answer:

nope. you only go to summer school if you flunked about 60% of your core subjects. and/or if you also flunked your PAT'S/SAT'S. don't worry buddy.

\(\huge\text{Hey there!}\)

\(\huge\textbf{Equation:}\)

\(\mathbf{7x + 2x + 27 = 180^\circ}\)

\(\huge\textbf{Solve:}\)

\(\mathbf{7x + 2x + 27 = 180^\circ}\)

\(\huge\textbf{COMBINE the LIKE TERMS:}\)

\(\mathbf{(7x + 2x) + 27 = 180^\circ}\)

\(\mathbf{7x + 2x + 27 = 180^\circ}\)

\(\mathbf{9x + 27 = 180^\circ}\)

\(\huge\textbf{SUBTRACT 27 to BOTH SIDES:}\)

\(\mathbf{9x + 27 - 27 = 180^\circ - 27}\)

\(\mathbf{9x + 27 - 27 = 180 - 27}\)

\(\huge\textbf{Simplify it!}\)

\(\mathbf{9x = 180 - 27}\)

\(\mathbf{9x = 153}\)

\(\huge\textbf{DIVIDE 9 to BOTH SIDES:}\)

\(\mathbf{\dfrac{9x}{9}=\dfrac{153}{9}}\)

\(\huge\textbf{Simplify it!}\)

\(\mathbf{x = \dfrac{153}{9}}\)

\(\mathbf{x = 17}\)

\(\huge\textbf{Answer:}\)

\(\huge\boxed{\textsf{Option D. 17}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

946 Sq Inches

Step-by-step explanation:

just cut it off to make two rectangles

28 * 7 = 196

30*25= 750

then add em up

750+196 = 946

Answer:

918 in²

Step-by-step explanation:

Those are just 2 recangles.

1. 30*25 = 750

2. 7*24 = 168

add 750+168= 918

The length of each side of the square is 16 cm, the perimeter is 64 cm, and the area is 256 cm^2.

Let's solve the problem step by step. We have a square ABCD, and we need to find the length of its sides when the diagonal is 16√2 cm long.

In a square, the diagonal forms a right triangle with the sides. The sides of a square are equal in length, so let's assume the length of one side of the square is 'x' cm.

Using the Pythagorean theorem, we can find the relationship between the side length and the diagonal:

x^2 + x^2 = (16√2)^2

2x^2 = 512

Dividing both sides by 2, we have:

x^2 = 256

Taking the square root of both sides:

x = √256

x = 16 cm

So, the length of each side of the square is 16 cm.

To find the perimeter of the square, we simply multiply the length of one side by 4 since all sides are equal:

Perimeter = 4 * 16 cm = 64 cm

To find the area of the square, we square the length of one side:

Area = (16 cm)^2 = 256 cm^2

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Note the complete question is:

Find the length of side of square ABCD when diagonal is 16√2 cm long. Also find the perimeter and area of the square?