Anna has a points card for a movie theater.
She receives 45 rewards points just for signing up.
She earns 14.5 points for each visit to the movie theater.
• She needs 219 points for a free movie ticket.
How many visits must Anna make to earn a free
movie ticket?

The exponential form of given number 121200 is 1.212 × \(10^5\)

And the earth sun distance in kilometers in powers of 10 notation is 1.5 × \(10^8\)

For given question,

We need to express 121,200 in exponential (powers of 10) notation.

To use scientific notation, pick a value between 1 and 10, then multiply it by 10ˣ.

The number between 1 and 10 in 121200 is 1.212 with 5 decimal points.

So, the exponential notation of given number would be,

121,200 = 1.212 × \(10^5\)

Earth's average distance from the Sun is around 93 million miles (150 million kilometers). That's one AU.

So the number between 1 and 10 in 150,000,000 is 1.5, with 8 decimal points.

So, the distance between he Earth and the Sun is:

150,000,000 = 1.5 × 10⁸

Therefore, the exponential form of given number 121200 is 1.212 × \(10^5\)

And the earth sun distance in kilometers in powers of 10 notation is 1.5 × \(10^8\)

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Answer:

80

Step-by-step explanation:

check attached picture

The area of the windflower garden that is enclosed by a circular fence of 400 yards length is equal to 12732.39 square yards.

The measurement of the circle's perimeter, also known as its circumference, is called the circle's border. It is the length around the border of the circular object or the circle itself.

The formula for calculating the perimeter of a circle is ,

Perimeter/ Circumference of a circle = 2 * pi * r, where pi = 3.14 and r is the radius of the circle.

Taking the given information in the question, i.e circumference of the circular fencing wire , i.e C = 400 yards

                                         or , 2 * pi * r = 400

                                         or , r = 400/(2* 3.14)

                                                 r = 63.66 yards

Now the area of the circular fence is given by,

Area = pi * r^2

Area = 3.14 * 63.66^2

Area = 12732.39 square yards

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Answer:

Y Intercept: It was 3C at the beginning of the day.

Positive or negative interval: The temperature was above zero between 8 am and 8 pm.

Increasing or decreasing interval: It was getting warmer between 2 am and 2 pm

Step-by-step explanation:

Features matching the correct statements are:

y intercept: It was ₋3°C at the beginning of the day.

Positive or negative interval: The temperature was above zero between 8 am and 8 pm.

Increasing or decreasing interval: It was getting warmer between 2am and 2 pm.

What is the temperature graph over time?

The x-axis in a time-temperature graph, sometimes known as a "x-y graph," depicts time, and the y-axis the temperature. The temperature's relationship to time is depicted on the graph.

we can notice in the given graph that T(t) represents the time and t represents the temperature of the city.

Hence we get the statements match to their features.

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Answer:

3 , -3.5

Step-by-step explanation:

\((\frac{-2 + 8 }{2} ) , (\frac{5 + -12}{2} ) \\\\\frac{6}{2} , \frac{-7}{2} \\ now simplify \\3 , -3.5\)

Answer: The midpoint of the segment with endpoints C (-2,5) and D (8.-12) is  3/-3.5.

How to solve for the midpoint:

   -Add both "x" coordinates, divide by 2.

   -Add both "y" coordinates, divide by 2.

Basically, you are just finding the average for the x and y coordinates.

Good luck :D

Answer:

4:5

Step-by-step explanation:

both sides divide by 7

Answer:

There are no real factors for this.

Step-by-step explanation:

We could answer this either by checking each listed expression to see whether it is a factor of 9r^2-4r+1, or

We could take the coefficients of 9r^2-4r+1, determine the quantity b²-4ac (called the 'discriminant') and draw a conclusion based upon whether the discriminant is -, + or 0.

Let's use the 2nd approach.

Here, a = 9, b = -4 and c = 1.

Then the discriminant is b²2 - 4ac, or (-4)² - 4(9)(1), or 16 - 36.

Since 16 - 36 is negative, we conclude that this 9r^2 - 4r + 1 has NO REAL FACTORS.

Probability of the packaged for shipment immediately that passed quality-control inspections 0.034.

Given that,

A product has a 0.88 chance of passing quality-control tests. It has a 0.03 chance of passing quality-control tests and being packaged for shipping right away.

We have to find given that it passed quality-control inspections, what is the probability that it will be packaged for shipment right away.

P(passes)=0.88 and P(pass and pack)=0.03

Probability of the packaged for shipment immediately that passed quality-control inspections

= 0.03/0.88

=0.034

Therefore, Probability of the packaged for shipment immediately that passed quality-control inspections 0.034.

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The probability that a package intended for quick dispatch passed quality-control inspections is 0.034.

Given, A product's likelihood of passing quality-control testing is 0.88. There is a 0.03 percent chance that it will pass quality-control inspections and be packaged for transportation straight away.

Given that quality control checks were successful, we must determine the likelihood that it will be packaged for shipment straight soon.

P (passes) = 0.88 and P (pass and pack) = 0.03

Probability that items packaged for immediate shipment will pass quality-control checks:

= 0.03/0.88

=0.034

Therefore, there is a 0.034 percent chance that the packaging was approved for shipment right away.

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The unadjusted trial balance of The Lexington Group as of May 31, 20Y6, contains errors resulting in an unequal debit and credit balance of $27,875.

The unadjusted trial balance is a statement that lists all the accounts and their balances before any adjustments are made. It is used as a starting point to prepare the financial statements. In this case, the unadjusted trial balance of The Lexington Group shows a debit total of $608,125 and a credit total of $636,000, resulting in a difference of $27,875.

The errors mentioned in the question are the reasons for the imbalance. Let's go through each error:

1. The cash entered on the trial balance was overstated by $7,000. This means that the cash balance is higher than it should be by $7,000, resulting in an inflated debit balance.

2. A cash receipt of $8,200 was posted as a debit to cash of $2,800. This error resulted in an understatement of the cash balance by $5,400.

3. A debit of $16,500 to accounts receivable was not posted. As a result, the accounts receivable balance is understated by $16,500.

4. A return of $125 of defective supplies was erroneously posted as a $1,250 credit to supplies. This error caused an overstatement of the supplies balance by $1,125.

5. An insurance policy acquired at a cost of $3,600 was posted as a credit to prepaid insurance. This mistake resulted in an understatement of the prepaid insurance balance by $3,600.

6. The balance of notes payable was understated by $9,000. This means that the liability for notes payable is lower by $9,000 than it should be.

7. A credit of $10,000 in accounts payable was overlooked when determining the balance of the account. This error led to an understatement of the accounts payable balance by $10,000.

8. A debit of $5,000 for dividends was posted as a credit to retained earnings. This mistake caused an understatement of the dividends and an overstatement of the retained earnings by $5,000.

9. The balance of $60,300 in rent expense was entered as $63,000 in the trial balance. This error resulted in an overstatement of the rent expense by $2,700.

10. Gas, electricity, and water expense, with a balance of $16,350, was omitted from the trial balance. This omission caused an understatement of the total expenses by $16,350.

When we analyze the errors, we find that some accounts have been overstated, some have been understated, and some transactions have been completely omitted. These errors have led to an imbalance between the debit and credit sides of the trial balance.

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Answer:

The number of pens sold on Monday is 107 pens

Step-by-step explanation:

total pack of pen sold by the retailer in 3 days =  10 packs

total number of pens in the 10 packs = 48 x 10 = 480 pens

let the number of pens sold on Monday = x

let the number of pens sold on Sunday = y

let the number of pens sold on Tuesday = z

He sold twice as many pens on Sunday than on Monday

y = 2x ------equation (1)

He sold 55 pens fewer on Tuesday than on Sunday

y = z + 55 ------equation (2)

total number of pens sold in the three days

y + z + x = 480  ------equation (3)

from equation (1) make x the subject of the formula

x = y/2

from equation (2) make z the subject of the formula

z = y - 55

substitute the value of x, and z into equation (3)

y + y/2 + y - 55 = 480

2y + y/2 = 480 + 55

5y/2 = 535

5y = 535 x 2

5y = 1070

y = 1070 / 5

y = 214

The number of pens sold on Monday is:

x = y / 2

x = 214 / 2

x = 107 pens

Thus, the number of pens sold on Monday is 107 pens

Answer:

n = 23

Step-by-step explanation:

Let Sara's number be n.  Then -3(n - 11) = -36

Solve for n - 11 by dividing both sides by -3:  n - 11 = 12.

Adding 11 to both sides yields n = 23

Answer:

i believe that the correct answer is -1

Answer:

4

Step-by-step explanation:

none needed

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

Work Shown:

2.25% = 2.25/100 = 0.0225

2.25% of 56 dollars = 0.0225*56 = 1.26

The amount of sales tax is $1.26

Side note: The total bill is 56 + 1.26 = 57.26 dollars.

Answer:

$1.26

Step-by-step explanation:

So you just have to find 2.25% of 56.

To find a certain percentage of something, you multiply it. Let's write out a sentence explaining what you need to do. You have to find:

2.25% of 56

Whenever you've got a sentence like this, all you've got to do is change the word "of" to a multiplication symbol. And now you've got an expression:

2.25% × 56

Let's convert the percentage to a decimal. To do this, you simply remove the percent symbol, then move the decimal point 2 places to the left.

2.25% = 0.0225

And now you have:

0.0225 × 56

Then you just do the math! I am assuming you already know how to do decimal multiplication so I'm not going to explain the process here.

But once you multiply 0.0225 × 56, you get an answer: 1.26

Hope this was helpful to you, and don't forget to choose the Brainliest answer!

Answer:

x-axis

Step-by-step explanation:

by placing a negative sign on the graph function will cause the graph to flip along its x-axis.

The probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.

To find the probability that the average number of hours of overtime worked by a random sample of 140 employees exceeds 20 hours, we can use the Central Limit Theorem (CLT). The CLT states that for a large enough sample size, the sampling distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution.

Given that the population mean is 18.9 hours and the population standard deviation is 7.8 hours, we can calculate the standard error of the mean using the formula: standard error = population standard deviation / sqrt(sample size).

For this problem, the sample size is 140, so the standard error is 7.8 / sqrt(140) ≈ 0.659.

To calculate the probability, we need to standardize the sample mean using the z-score formula: z = (sample mean - population mean) / standard error.

In this case, the sample mean is 20 hours, the population mean is 18.9 hours, and the standard error is 0.659. Plugging these values into the formula, we get z = (20 - 18.9) / 0.659 ≈ 1.71.

Now, we can use a standard normal distribution table or calculator to find the probability associated with a z-score of 1.71. Looking up this value in the table, we find that the probability is approximately 0.9564.

Therefore, the probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.

Here's a sketch to visualize the calculation:

                  |

                  |

                  |

                  |       **

                  |      *  *

                  |     *    *

                  |    *      *

                  |   *        *

                  |  *          *

                  | *            *

-------------------|--------------------------

      18.9        |       20

The area under the curve to the right of 20 represents the probability we're interested in, which is approximately 0.9564 or 95.64%.

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The union of the sets is E ∪ F = (-∞, 3] or (6, ∞) and the intersection of the sets E ∩ F =  ∅ (null sets) is in interval notation.

A set is a collection of clearly - defined unique items. The term "well-defined" applies to a property that makes it simple to establish whether an entity actually belongs to a set. The term 'unique' denotes that all the objects in a set must be different.

We have:

E and F are sets of real numbers defined as follows. E={v | v ≤ 3} F={v | v > 6}

E ∪ F = (-∞, 3] or (6, ∞)

E ∩ F =  ∅ (null sets)

Thus, the union of the sets is E ∪ F = (-∞, 3] or (6, ∞) and the intersection of the sets E ∩ F =  ∅ (null sets) is in interval notation.

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A good way to ensure that data issues are properly addressed is by implementing robust data quality assurance and validation processes. These processes involve various steps and techniques to identify, prevent, and resolve data issues effectively. By following these best practices, you can minimize the risk of invalidating testing results due to date-related problems.

One essential step is to establish clear data quality standards and guidelines. This includes defining data formats, data integrity rules, and validation criteria specific to date-related fields. By setting these standards, you provide a framework for ensuring consistent and accurate data across the testing process.

Another important aspect is to perform comprehensive data profiling and analysis. This involves examining the data to identify anomalies, inconsistencies, or inaccuracies related to dates. By using data profiling tools or writing custom scripts, you can detect issues such as missing values, incorrect formats, or outliers within date fields. This analysis enables you to have an overview of the data quality and pinpoint potential problems.

To address data issues effectively, it is crucial to establish data cleansing procedures. This involves correcting errors, resolving inconsistencies, and standardizing date formats. For instance, you can use data cleaning techniques like imputation to fill in missing dates, transforming data into a consistent format (e.g., YYYY-MM-DD), or removing duplicate entries. By applying these cleansing techniques, you improve the accuracy and reliability of the data used in testing.

Furthermore, implementing data validation checks is essential to identify and flag potential issues during the testing process. This can involve writing automated tests or validation scripts that verify the integrity and correctness of date-related data. By performing validation checks at different stages of the testing process, you can detect anomalies promptly and take appropriate actions to address them.

Lastly, fostering a culture of data quality awareness and accountability is crucial. Promoting education and training on data handling best practices, emphasizing the importance of accurate dates, and encouraging open communication about data issues among team members can significantly contribute to ensuring data issues are adequately addressed.

In summary, to ensure data issues are properly addressed, it is important to establish data quality standards, perform data profiling and analysis, implement data cleansing procedures, incorporate validation checks, and foster a culture of data quality awareness. By following these practices, you can mitigate the risk of invalidating testing results due to date-related problems and enhance the overall reliability and integrity of your data.

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Answer:

38º

Step-by-step explanation:

<BAC is a central angle. The corresponding arc, BC will be equal to the measure of the central angle.

So mBC = 38º

The solutions of the given equation are 2 or -2

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given is an equation, x²+2 = 6

x²+2 = 6

Solving we get,

x²+2 = 6

x² = 6-2

x² = 4

x = ±2

Hence, there are two solutions of the equation 2 or -2

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Answer:

it would be a negative

Step-by-step explanation:

(+-) cancels itself out to be 0 and (-) is negative so adding a negative to 0 will give you a negative. Hope this helps (:

Answer:

let us consider x for both +,-

Step-by-step explanation:

(+x-x)+(-x)

0-x

-x

so the answer should be in negative

The value of x that makes the unshaded area equal to the shaded area is 7.07 inches.

An equation is an expression that shows the relationship between two or more variables and numbers.

The area of big sector = (60/360) * π(10)² = (50π /3) cm²

Area of small sector = (60/360) * π(x)² = (x²π /6) cm²

Unshaded area = (x²π /6) cm²

Shaded area = (50π /3) - (x²π /6) = (100π - x²π) /6

Shaded area = unshaded area

(100π - x²π) /6 = (x²π /6) cm²

x = 7.07

The value of x that makes the unshaded area equal to the shaded area is 7.07 inches.

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The length of x in the sector is 7.08 cm.

area of a sector = ∅ / 360 × πr²

where

Therefore,

area of a sector = 60 / 360 × π × 10²

area of a sector = 60 / 360 × π × 100

area of a sector = 6000 / 360 π

Hence,

area of the unshaded portion = 6000 / 360 π ÷ 2 = 6000π / 720 =  26.1666666667 = 26.2 cm

Hence,

26.2 = 60 / 360 × 3.14 × x²

x² = 26.2 / 0.52333333333

x = √50.0637261552

x = 7.07557064836

x = 7.08 cm

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The population of interest is: A. all people in Emerald, Queensland.

The population of interest refers to the group of individuals that the research is trying to draw inferences about. In this case, the international fast food chain is looking to assess the level of interest in opening a franchise in Emerald, Queensland.

Therefore, the population of interest is all people who live in Emerald, Queensland, as they are the group that the research is trying to understand. The sample of 100 addresses that the research firm selected is just a subset of this population and the questionnaires are being sent to them to infer about the entire population.

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The parametric equations for the line of intersection are:
x = 61 - 5t
y = 2t - 30
z = t

To find the parametric equations for the line of intersection of the given planes, we first need to solve the system of equations:

1. x + 2y + z = 1
2. 2x + 5y + 32 = 4

Step 1: Solve for x from equation 1:
x = 1 - 2y - z

Step 2: Substitute x in equation 2 with the expression found in step 1:
2(1 - 2y - z) + 5y + 32 = 4

Now we can use elimination to solve for one variable. Let's eliminate y by multiplying the first equation by 5 and subtracting it from the second equation:

Step 3: Simplify and solve for y:
2 - 4y - 2z + 5y + 32 = 4
y - 2z = -30

Step 4: Designate z as the parameter t:
z = t

Step 5: Substitute z with t in the expression for y:
y = 2t - 30

Step 6: Substitute z with t in the expression for x:
x = 1 - 2(2t - 30) - t
x = 1 - 4t + 60 - t
x = 61 - 5t

Now we have the parametric equations for the line of intersection:
x = 61 - 5t
y = 2t - 30
z = t

Note that we can choose any value of z for the parameter t, since z is unconstrained.

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Answer:

The first answer.  8x^15 - 125y^3

Step-by-step explanation:

...because 8 is the cube of 2 and x^15 is the cube of x^5; also 125 is the cube of 5 and y^3 is the cube of y.

8x^15 - 125y^3 = (2x^5)^3 - (5y)^3

Answer:

Step-by-step explanation:

Property of a right triangle,

(Hypotenuse)² = (leg 1)² + (leg 2)²

If the length of sides of the given triangle are 7mm, 14mm and 15mm.

(15)² = (7)² + (14)²

225 = 49 + 196

225 = 245

False

Therefore, the given triangle is not a right triangle.

(a) The 95% confidence interval for proportion of residents in Muscat who consider television news as their major source of news is (0.485, 0.615).

(b) The sample-size of approximately 384 would be necessary to estimate the population proportion with a maximum error of 0.05 at a 95% confidence level.

To construct a confidence-interval for proportion of residents in Muscat who consider television news as their "major-source" of news, we use the  formula;

The Confidence-Interval = Sample Proportion ± Margin of Error

Part (a) : To calculate confidence-interval, we first find the sample proportion (p') and margin-of-error.

The Sample-Proportion (p') = Number of successes / Sample size

p' = 110 / 200 = 0.55,

The Margin-of-Error (ME) = Critical value × Standard Error

The "critical-value" depends on desired confidence-level. For 95% confidence-level, the "critical-value" corresponds to a z-score of 1.96.

The Standard-Error (SE) = √((p' × (1 - p')) / n)

Where n = sample size,

SE = √((0.55 × (1 - 0.55)) / 200) ≈ 0.033

Now we calculate the margin-of-error as :

ME = 1.96 × 0.033 ≈ 0.065,

Now, we construct the confidence interval:

Confidence Interval = 0.55 ± 0.065

Confidence Interval ≈ (0.485, 0.615)

So, the required confidence-interval is (0.485, 0.615).

Part (b) : To determine the sample size required to estimate the population proportion with "maximum-error" of 0.05 at a 95% confidence level, we use the formula:

Sample Size (n) = (Z² × p' × (1 - p'))/E²,

Where Z = critical value corresponding to desired confidence level,

p' = estimated proportion, and E = maximum error,

Using a Z-score of 1.96, and p' = 0.5 and E = 0.05, we calculate the sample size as :

n = (1.96 × 0.5 × (1 - 0.5)) / 0.05²

n ≈ 384.16

Therefore, the required sample-size is 384.

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Answer:

I think the answer is a .

Answer:

98 cm

because you cant add it

Step-by-step explanation: