.
Katherine has a points card for a movie theater.
She receives 75 rewards points just for signing up.
She earns 13.5 points for each visit to the movie theater.
She needs at least 120 points for a free movie ticket.
.
Which inequality can be used to determine z, the minimum number of visits
Katherine needs to earn her first free movie ticket?

Answer:

I will answer this for you and the links are so annyoing fr

Step-by-step explanation:

give me a couple of minutes to figure it out then I will post the answer!

Therefore, the solution to the recurrence relation is: aₙ = -(-2)ⁿ + 1(3)ⁿ = -(2ⁿ) + 3ⁿ Thus, an is expressed in terms of n as aₙ = -(2ⁿ) + 3ⁿ for n ≥ 1.

To solve the given recurrence relation, we can find its characteristic equation by assuming a solution of the form aₙ = rⁿ, where r is an unknown constant. Substituting this into the relation, we get:

rⁿ + 5rⁿ₋₁ + 6rⁿ₋₂ = 0

Dividing the equation by rⁿ₋₂, we obtain:

r² + 5r + 6 = 0

Factoring the quadratic equation, we have:

(r + 2)(r + 3) = 0

This gives us two roots: r₁ = -2 and r₂ = -3.

The general solution to the recurrence relation is given by:

aₙ = c₁(-2)ⁿ + c₂(-3)ⁿ

Using the initial conditions a₁ = 1 and a₂ = 1, we can determine the values of c₁ and c₂. Substituting n = 1 and n = 2 into the general solution, we have:

a₁ = c₁(-2)¹ + c₂(-3)¹

1 = -2c₁ - 3c₂ (equation 1)

a₂ = c₁(-2)² + c₂(-3)²

1 = 4c₁ + 9c₂ (equation 2)

Solving equations 1 and 2 simultaneously, we find c₁ = -1 and c₂ = 1.

Therefore, the solution to the recurrence relation is:

aₙ = -(-2)ⁿ + 1(3)ⁿ = -(2ⁿ) + 3ⁿ

Thus, an is expressed in terms of n as aₙ = -(2ⁿ) + 3ⁿ for n ≥ 1.

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The probability of P(X > 1) can be shown as the expression \(1 - \sum_{x = 0}^{1} 365Cx(\frac {1} {2^9})^x(1 - \frac {1} {2^9})^{365 - x}\), which has the value, P(X > 1) = 0.160199752.

The number of times Jack flips the coin = 10.

The number of outcome on each flip = 2 {viz. Heads and Tails}.

Thus, the number of outcomes after flipping the coin 10 times = 2¹⁰.

The number of outcomes of getting all heads or tails = 2.

Thus, the probability = 2/2¹⁰ = 1/2⁹.

This can make a binomial distribution when repeated for 365 days, with parameters, n = 365, and p = 1/2⁹, showing P(X = x) as,

P(X = x) = nCx.pˣ.qⁿ ⁻ ˣ, where q = 1 - p.

Thus, we can calculate the probability P(X > 1) as follows:

P(X > 1)

= 1 - P(X ≤ 1)

= \(1 - \sum_{x = 0}^{1} 365Cx(\frac {1} {2^9})^x(1 - \frac {1} {2^9})^{365 - x}\)

= 1 - {365C0.(1/2⁹)⁰.(1 - 1/2⁹)³⁶⁵ + 365C1.(1/2⁹)¹.(1 - 1/2⁹)³⁶⁴}

= 1 - {0.489883478 + 0.34991677}

= 0.160199752.

Thus, the probability of P(X > 1) can be shown as the expression \(1 - \sum_{x = 0}^{1} 365Cx(\frac {1} {2^9})^x(1 - \frac {1} {2^9})^{365 - x}\), which has the value, P(X > 1) = 0.160199752.

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The measure of arc BC is 720 times the measure of angle BAC.

Given that AC is the diameter of the circle and AB is a chord with a length of 16 units, we need to find BC (the length of the other chord) and mBC (the measure of angle BAC).

To find BC, we can use the property of chords in a circle. If two chords intersect within a circle, the products of their segments are equal. In this case, since AB = BC = 16 units, the product of their segments will be:

AB * BC = AC * CE

16 * BC = 2 * r * CE (AC is the diameter, so its length is twice the radius)

Since the area of the circle is given as 289 square units, we can find the radius (r) using the formula for the area of a circle:

Area = π * r^2

289 = π * r^2

r^2 = 289 / π

r = √(289 / π)

Now, we can substitute the known values into the equation for the product of the segments:

16 * BC = 2 * √(289 / π) * CEBC = (√(289 / π) * CE) / 8

To find mBC, we can use the properties of angles in a circle. The angle subtended by an arc at the center of a circle is double the angle subtended by the same arc at any point on the circumference. Since AC is a diameter, angle BAC is a right angle. Therefore, mBC will be half the measure of the arc BC.

mBC = 0.5 * m(arc BC)

To find the measure of the arc BC, we need to find its length. The length of an arc is determined by the ratio of the arc angle to the total angle of the circle (360 degrees). Since mBC is half the arc angle, we can write:

arc BC = (mBC / 0.5) * 360

arc BC = 720 * mBC

Therefore, the length of the arc BC equals 720 times the length of the angle BAC.

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Sample is a subset of the population used to estimate data about the population without including everyone. It is used in statistics to draw inferences about larger populations or groups and statistical research methods are used to achieve better sample results.

In the given scenario, the population in the study would be Bottles of soda produced in the plant on February 2. While the sample in the study would be The 70 bottles of soda selected in the plant on February 2A population is the complete group of people or things that we are studying. Population is the set of all things under examination, while the sample is a subset of the population, which is used to estimate data about the population.What is Sample?A sample is a subset of the population, and it is a way to investigate the entire population without including everyone. It is used to acquire an estimation of the population, but it is not intended to be an exact representation of the population. Sample data is used in statistics to draw inferences about larger populations or groups. To achieve better sample results, statistical research methods are used.

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The situations that best represent the scenario shown in the graph of the quadratic functions, y = x² and y = x² + 3 include the following:

B. "From x = -2 to x = 0, the average rate of change for both functions is negative."

C. "For the quadratic function, y = x² + 3, the coordinate (2, 7) is a solution to the equation of the function."

D. "The quadratic function, y = x², has an x-intercept at the origin."

In Mathematics, the x-intercept of the graph of any function simply refers to the point at which the graph of a function crosses or touches the x-coordinate (x-axis) and the y-value or value of "y" is equal to zero (0).

In this context, we can logically deduce that the x-intercepts of the graph of the given equation y = x² is at the origin:

x = (0, 0)

For the the coordinate (2, 7), we would evaluate the quadratic function, y = x² + 3 as follows;

7 = 2² + 3

7 = 4 + 3

7 = 7 (True).

By critically observing the graph of both functions, we can logically deduce that their average rate of change is negative from x = -2 to x = 0.

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Answer:

+4 each time

Step-by-step explanation:

Answer:

LM = 36

Step-by-step explanation:

A quadrilateral is a shape with 4sides. There are different type of quadrilateral such as square, rectangle, trapezium, parallelogram, kite and rhombus.

Perimeter of a quadrilateral is the addition of all 4 sides.

Since the shape is not specified neither is there a diagram, let's assume the quadrilateral is a square.

See attachment for diagram used in solving the question.

Perimeter of square = length+ length+ length+ length

= 4× length

Perimeter of quadrilateral ABCD:

640 = 4×length

Length = 640/4

Length = 160

Perimeter of quadrilateral LMNO:

144 = addition of all 4 lengths

144 = LM + MN + NO +OL

Since we are considering a square all the sides are equal.

LM = MN = NO = OL

144 = 4×LM

LM = 144/4

LM = 36

Explanation:

We have 2 rows and 3 columns, which directly leads to the answer 2 x 3

Always list the number of rows first, followed by the number of columns.

Answer:

Its 3x2

I swear I just took the test

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

Next time download Microsoft math

To calculate this angle theta we use the arctan function. But this function only gives the value between

Then

So, the angle is 238°.

Answer:

-8

Step-by-step explanation:

It wont let me upload anything so i will come back with steps later

Answer:

Step-by-step explanation:

There are 2 possibilities. Either you need to know the angles connect to the common side (that would give you ASA) or you need to know GF = UT. The latter would give you SAS

Step-by-step explanation:

From what you said, i would say that a line segment would be 1/3 od AB since AB is 300%

Answer: it is 32.6

Step-by-step explanation:

The orginal number that Gavin was thinking of is 32.60.

Let the orginal number be represented with y

Gavin adds 9 to the original number: 9 + y

The answer is doubled: 2(9 + y)

The answer is 83.2: 2(9+y) = 83.2

In order to determine the value of y, take the following steps:

Divide both sides of the equation by 2

9 + y = 41.60

Subtract 9 from both sides of the equation

y = 41.60 - 9

y = 32.60

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0.1 is  Probability in Distribution Table X P(X).

What is Probability ?

The simple definition of probability is the likelihood that something will occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out.

                             Statistics describes the examination of events subject to probability.

Here X is a random variable. P(X) is its probabilities corresponding to the different values of X.

now according to the properties of probability theory we know that sum of probabilities is 1.

so here to find the value of the probability of X coresponding to the value 53 we should use the following steps:

sum of given probabilities =(0.2+0.4+0.3) = 0.9

required probability = 1 - sum of given probabilities = 1 - 0.9 = 0.1

hence the complete probability table is

X P(X)

20 0.2

49 0.4

53 0.1

80 0.3

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Answer:

$14.36

Step-by-step explanation:

you multiply 1.48 × 9.7 and the product would be 14.356 and since we are trying to find how mush money Ms. Perez spent we round up and the final cost is $14.36

The expression that is equivalent to the one Shea wrote is b 5 x y x 5 x 2 +4

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

5(y + 2) + 2 shows the amount of money five friends paid for snacks at a basketball game

This means that

Amount = 5(y + 2) + 2

When expanded, we have

Amount = 5 * y + 5 * 2 + 2

Using the above as a guide, we have the following:

The expression that is equivalent to the one Shea wrote is b 5 x y x 5 x 2 +4

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Answer: The answer is x=-875

Answer:x=−875

Step-by-step explanation:

mulitiply -125 & 7=-875

Answer:

x is bigger than or equal then 5

also known as x>5 but with a line under the >

Step-by-step explanation:

Hope this is right

Answer:

Step-by-step explanation:

(2 + 3) + 4 = 2 + (3 + 4)This expression can be simplified using the associative property of addition, which states that the grouping of the terms in a sum can be changed without changing its value. By rearranging the terms within the parentheses, we can simplify the expression as follows:2 + (3 + 4) = 2 + 7 = 9

Answer:

Step-by-step explanation: (a+b) +c =a +(b+c)

The formula for the nth partial sum of the series n(n-1) is Sn = n(n+1)(2n-1)/6 and the series diverges.

Part 1: The formula for the nth partial sum, Sn, for the series n(n-1), can be found by using the formula for the sum of the first n natural numbers, which is given by Sn = n(n+1)/2. To find the sum of n(n-1), we can rewrite it as n^2 - n and use the formula for the sum of the first n squares, which is given by n(n+1)(2n+1)/6. Therefore, the formula for Sn is Sn = n(n+1)(2n-1)/6.

Part 2: To determine whether the given series converges or diverges, we need to evaluate the limit of Sn as n approaches infinity. Taking the limit of the formula for Sn, we get lim Sn = lim [n(n+1)(2n-1)/6] = lim (2n^3/6) = lim (n^3/3) = inf. Since the limit of Sn is infinity, the series diverges.

In conclusion, the formula for the nth partial sum of the series n(n-1) is Sn = n(n+1)(2n-1)/6 and the series diverges as the limit of Sn approaches infinity. This means that the sum of the series does not converge to a finite value and grows without bound as n increases.

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Answer:

46 cents per minute.

Explanation:

The long-distance call costs $7.36 for 16 minutes.

The goal is to determine the unit rate in cents per minute.

In order to do this, first convert the amount, $7.36 to cents.

Next, to find the unit rate, divide the number of cents by the number of minutes.

The unit rate is 46 cents per minute.

Answer:

625 \(cm^{2}\)

Step-by-step explanation:

The side lengths of a square are equal so each side must be 25 cm

a =\(s^{2}\)  (area = the side squared)

a = \(25^{2}\)

a = 625

Helping in the name of Jesus.

Answer:

Step-by-step explanation:

Answer:

x = - 15

Step-by-step explanation:

x - 17 = -32

x - 17 + 17  = -32 + 17

x = - 15

The sample mean is 16.00 and the sample variance is 0.0167. The probability of obtaining a z-score of 0 is 0.5, so the probability of obtaining a sample mean of 16.00 when the true mean is 16.00 is 0.5.

The sample mean and sample variance can be calculated using the following formulas:

Sample mean = (sum of all values) / (number of values)

Sample variance = [(sum of (each value - sample mean)^2)] / (number of values - 1)

a. To calculate the sample mean, we add up all the values and divide by the number of values:

Sample mean = (16.13 + 16.02 + 15.90 + 15.83 + 16.00 + 15.79 + 16.01 + 16.04 + 15.96 + 16.20) / 10

Sample mean = 16.00

To calculate the sample variance, we subtract the sample mean from each value, square the result, add up all the squared values, and divide by the number of values minus 1:

Sample variance = [(16.13 - 16.00)^2 + (16.02 - 16.00)^2 + (15.90 - 16.00)^2 + (15.83 - 16.00)^2 + (16.00 - 16.00)^2 + (15.79 - 16.00)^2 + (16.01 - 16.00)^2 + (16.04 - 16.00)^2 + (15.96 - 16.00)^2 + (16.20 - 16.00)^2] / (10 - 1)

Sample variance = 0.0167

b. To calculate the probability of obtaining such a sample mean, we need to use the standard error of the mean (SEM), which is the standard deviation of the sample mean. The SEM is calculated using the following formula:

SEM = (sample standard deviation) / (square root of the number of values)

The sample standard deviation is the square root of the sample variance, so:

Sample standard deviation = sqrt(0.0167) = 0.1293

SEM = 0.1293 / sqrt(10) = 0.0409

The probability of obtaining a sample mean within a certain range of the true mean can be calculated using the z-score, which is the number of standard deviations a value is from the mean. The z-score is calculated using the following formula:

z-score = (sample mean - true mean) / SEM

For this question, the sample mean is 16.00, the true mean is 16.00, and the SEM is 0.0409, so:

z-score = (16.00 - 16.00) / 0.0409 = 0

The probability of obtaining a z-score of 0 is 0.5, so the probability of obtaining a sample mean of 16.00 when the true mean is 16.00 is 0.5.

Note: The question is incomplete. The complete question probably is: When a sample of 10 cereal boxes of a well-known brand was reweighed, it gave the following weights (in ounces): 16.13 16.02 15.90 15.83 16.00 15.79 16.01 16.04 15.96 16.20 a. What is the sample mean? And the sample variance? b. If the true mean weight per box was 16 ounces, what is the probability of obtaining such a (sample) mean?

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Answer:

The aswer is 1:00 AM to 1:00 PM.

Step-by-step explanation: