What is the slope of a line perpendicular to the line whose equation is 6x+y=-5

Answer:

No. It is not possible to construct a triangle with lengths of its sides 4cm, 5cm and 9cm because the sum of two sides is not greater than the third side:

5 + 4 is not greater than 9.

Step-by-step explanation:

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The equation can be written as 6 + (-6y) = -6y - 1 + (7).

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

The given is an equation with missing parts.

The left hand side of the equation does not contain a term with variable, but the right hand side contains it.

Adding that term in the left hand side, we get, 6 + (-6y) in the left hand side.

So the right hand side must be equal.

So the expression in the right hand side is -6y - 1 + (7).

Hence the expressions are 6 + (-6y) on the left hand side and  -6y - 1 + (7) on the right hand side.

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Answer: 67 87 34

Step-by-step explanation:

a) The cost of the stereo system is $4,760.

b) The total amount of interest paid is $1,760.

To find the cost of the stereo system, we need to calculate the sum of the down payment and the total of monthly payments over 4 years. The down payment is $400, and the monthly payment is $90 for 48 months (4 years). Thus, the total cost of the stereo system is $400 + ($90 × 48) = $4,760.

To calculate the total amount of interest paid, we need to subtract the initial principal amount (down payment) from the total cost of the stereo system. The initial principal amount is $400, and the total cost is $4,760. Therefore, the total interest paid is $4,760 - $400 = $1,760.

In summary, the cost of the stereo system is $4,760, and the total amount of interest paid is $1,760.

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Answer:

Hallie ran the lap faster

Step-by-step explanation:

Hallie: 60 x 2 = 120
           120 + 12 = 132
Barry: 138

So that means Hallie is faster

The value of the sample proportionThe sample proportion is the percentage of individuals in a sample who have the attribute of interest. As a result, the sample proportion is computed by dividing the number of students who answered "yes" by the total number of students surveyed.

Here's the computation:Sample proportion= 220/400= 0.55Therefore, the sample proportion is 0.55.b. The standard error of the sample proportionThe standard error of the sample proportion can be determined using the following formula:Standard error of Standard error of the sample proportion= √[(0.55 * 0.45)/400]= √(0.00061875)= 0.0249Therefore, the standard error of the sample proportion is 0.0249.c. Constructing an approximate 95% confidence interval for the true proportion

A confidence interval is a range of values around a sample statistic, such as the sample proportion, that is expected to contain the true value of the population parameter with a certain degree of confidence. A 95 percent confidence interval implies that we are 95 percent certain that the true population parameter is within the specified interval.Let's first compute the margin of error:Margin of error= z* √[(p*q)/n]wherez= critical value of the standard normal distribution for a 95% confidence level= 1.96Margin of error= 1.96* √[(0.55*0.45)/400]= 0.0487Therefore, the margin of error is 0.0487. Now that we have the margin of error, we can construct the confidence interval using the following formula:Confidence interval= sample proportion ± margin of error= 0.55 ± 0.0487= (0.5013, 0.5987)Therefore, an approximate 95 percent confidence interval for the true proportion is (0.5013, 0.5987).

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a) The average cost of the promotion is $ 0.01 per liter

b) the probability that Greer will refund more than $25 for a liter is 0.0107.

a.

Mean lifetime mileage : $33,500

Standard deviation of mileage: $3500

Observed miles: 30,000 miles

100 miles failed $1.00

Hence :

= (33,500 – 30,000) / 3500= 1

Cost of production

100 miles = $1.00

= 1* 1 / 100

= $ 0.01 per tire

b.

P (z < 25000 - 36500/5000)

P (z < -11500/5000)

z < -2.3

Hence:

1 - 0.9893

= 0.0107

Therefore, the Probability that gear will refund more than $50.00 per tire is: 0.0107

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Once you have obtained the area, you can round it to four decimal places as needed.

To find the area of a shaded region under the standard normal curve, you can use a standard normal distribution table or a statistical software package, such as Excel or R.

If using a standard normal distribution table, you need to first determine the z-scores that correspond to the boundaries of the shaded region. Then, you look up the corresponding probabilities in the standard normal distribution table and subtract them to find the area of the shaded region.

If using a statistical software package, you can use the functions or commands that calculate the area under the standard normal curve between the boundaries of the shaded region.

Once you have obtained the area, you can round it to four decimal places as needed.

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The equation which can be used to predict, y, the number of people living in the town after x years as required to be determined is;

It follows from the task content that the exponential equation of the form y = a(b)^x which represents the situation is to be determined.

Since the initial population is 32,000; it follows that a = 32,000.

Also, since there is an increase of 8% per year;

b = 108% = 1.08.

Therefore, the required equation which models the situation is; y = {32,000(1.08)}^{x} .

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Answer:

578

Step-by-step explanation:

118

+560

answer:678

678-100=578

The sum of 118 and 560 is the same as adding 100 to 578.

To find the sum of 118 and 560, we can add the hundreds, tens, and ones separately.

Starting with the ones, 8 + 0 = 8.

Then, moving on to the tens, 1 + 6 = 7.

Finally, adding the hundreds, 1 + 5 = 6. Combining these results, we get 678 as the sum.

However, if we add 100 to 578, we get 678, which is the same as the previous result. This happens because when we add 100 to the sum of 118 and 560, we essentially increase the hundreds place by 1 while keeping the tens and ones the same.

The final answer is 578.

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The question is incomplete, the complete question is:

The sum of 118 + 560 is the same as 100 + x . Find the value of x.

Answer:

√80

Step-by-step explanation:

Pythagorean Theorem: a^2+b^2=c^2

a = 4, b = 8

4^2+8^2 = 16+64 = 80

c^2 = 80

c^2 = √80 ≈ 8.94

Answer:

300 + 2,000 = 2,300

Step-by-step explanation:

349 = 300

1,978 = 2,000

because the 4 is less than 5 and any number greater than 5 is rounded up and any number less than 5 is rounded down

The cutoff point for the number of minutes at which the customer should be contacted is 696 minutes

To calculate the upper fence for the monthly phone use data, we need to first find the quartiles.

Step 1: Arrange the data in order from smallest to largest

307, 335, 336, 341, 371, 375, 380, 395, 413, 424, 440, 465, 467, 489, 510, 512, 515, 521, 521

Step 2: Find the median

The median is the middle value of the data set. If the data set has an odd number of values, the median is the middle value. If the data set has an even number of values, the median is the average of the two middle values.

In this case, we have an even number of values, so we take the average of the two middle values

Median = (413 + 424)/2 = 418.5

Step 3: Find the first quartile (Q1)

The first quartile is the median of the lower half of the data set. To find Q1, we first find the median of the lower half:

Lower half: 307, 335, 336, 341, 371, 375, 380, 395, 413

Median of lower half = (371 + 375)/2 = 373

Step 4: Find the third quartile (Q3)

The third quartile is the median of the upper half of the data set. To find Q3, we first find the median of the upper half:

Upper half: 424, 440, 465, 467, 489, 510, 512, 515, 521, 521

Median of upper half = (489 + 510)/2 = 499.5

Step 5: Calculate the interquartile range (IQR)

The interquartile range is the difference between Q3 and Q1

IQR = Q3 - Q1 = 499.5 - 373 = 126.5

Step 6: Calculate the upper fence

The upper fence is defined as Q3 + 1.5 × IQR

Upper fence = Q3 + 1.5 × IQR = 499.5 + 1.5 × 126.5 = 695.75

Therefore, the cutoff point for the number of minutes at which the customer should be contacted is 696 minutes (rounded to the nearest minute).

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The given question is incomplete, the complete question is:

The following data represents the monthly phone use, in minutes, of a customer enrolled in a fraud prevention program for the past 20 months.

The phone company decides to use the upper fence as the cut off Point for the number of minutes at which the customer should be contacted. What is the cutoff point. round to the nearest minutes.

424 307 413 371

467 341 335 521

510 375 512 336

521 489 465 380

515 440 395 450

Answer:

-3x

Step-by-step explanation:

FIrst you subract 2 from both sides then eliminate the x's

Protractor postulate: given any angle, we can express its measure as a unique real number from 0 to 180 degrees.

The protractor postulate is a fundamental concept in geometry that establishes a way to measure angles using a protractor. According to this postulate, every angle can be uniquely represented by a real number between 0 and 180 degrees.

A protractor is a geometric tool with a semicircular shape and marked degrees along its edge. To measure an angle using a protractor, we align the center of the protractor with the vertex of the angle and the baseline of the protractor with one side of the angle. We then read the degree measure where the other side of the angle intersects the protractor.

The protractor is divided into 180 degrees, with 0 degrees being the starting point at the baseline of the protractor, and 180 degrees being at the opposite end of the baseline. By aligning the protractor with an angle, we can determine its measure as a real number within this range.

For example, if we measure an angle using a protractor and find that the other side intersects the protractor at 45 degrees, we can express the measure of the angle as 45 degrees. Similarly, if the intersection point is at 90 degrees, the angle measure would be 90 degrees. The protractor postulate guarantees that these angle measures are unique within the range of 0 to 180 degrees.

It is important to note that the protractor postulate assumes that angles can be measured using a protractor and that the measurement is accurate and reliable. The postulate provides a consistent and standardized way to assign a numerical value to an angle, allowing for precise communication and comparison of angles in geometric contexts.

In summary, the protractor postulate establishes that the measure of any angle can be expressed as a unique real number between 0 and 180 degrees. This concept is fundamental in geometry and allows for the measurement, comparison, and communication of angles using a protractor.

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Answer:

A 3/5

Step-by-step explanation:Here’s one way to solve this problem.

Write sixty percent as a fraction having a denominator of one hundred.

Now, change sixty-hundredths to an equivalent fraction having a denominator of twenty, the total number of pitches.

Do this by dividing the numerator and the denominator by five.

Then, simplify the fraction twelve-twentieths by dividing the numerator and the denominator by four.

So, Lenora hit three-fifths of the pitches.

A. 3/5

Step-by-step explanation:

i dont have time for explanation but i hope this helps

Answer:

5 ≤ 4x - 2.5

Step-by-step explanation:

Inequalities

The expression "no greater than" can be better expressed as "less or equal than".

The expression 4 times a number, being x the unknown number can be written: 4x

Thus, the equivalent inequality of the sentence is:

5 ≤ 4x - 2.5

Answer:

490.1 (If the radius is 6ft and height is 7ft)

571.8 (If the radius is 7ft and height is 6ft)

Step-by-step explanation:

A=2πrh+2πr2

Plug in the value for the radius and height. Then solve.

Answer:

B. 1/4

Step-by-step explanation:

Answer:

-2 C < 4 C

Step-by-step explanation:

Answer:

-2 C < 4 C

Step-by-step explanation:

Because |-| means that it is less than 0, and 4 is above 0. Whatever is above -2 will greater for ex.

<><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><>

-2 C < -3 C

this will be greater!! Hope this helps!!ლ(•ω •ლ)

The revenue from downloads of the antivirus program was greater than the revenue from the photo editing program in software company. The first statement is correct, while the second statement is not supported by the given information.

To determine which statement is correct, we need to examine the values of function g in the table.

Looking at the values of g(x) in the table, we can see that for x = 0, the value of g(x) is 1.5. This means that at day 0, the revenue from downloads of the antivirus program was 1.5 thousand dollars greater than the revenue from the photo editing program.

On the other hand, for x = 14, the value of g(x) is 0, indicating that the revenue from downloads of the antivirus program and the photo editing program were equal on day 14.

Since the revenue from downloads of the antivirus program was greater than the revenue from the photo editing program on day 0, we can conclude that the correct statement is:

The revenue from downloads of the antivirus program was greater than the revenue from the photo editing program.

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The diameter of the circle is approximately 60 inches.

To explain further, we can use the formula relating the central angle of a sector to the length of its intercepted arc. The formula states that the length of the intercepted arc (A) is equal to the radius (r) multiplied by the central angle (θ) in radians.

In this case, we are given the central angle (225 degrees) and the length of the intercepted arc (30π inches).

To find the diameter (d) of the circle, we need to find the radius (r) first. Since the length of the intercepted arc is equal to the radius multiplied by the central angle, we can set up the equation 30π = r * (225π/180). Simplifying this equation gives us r = 20 inches.

The diameter of the circle is twice the radius, so the diameter is equal to 2 * 20 inches, which is 40 inches. Therefore, the diameter of the circle is approximately 60 inches.

In summary, by using the formula for the relationship between central angle and intercepted arc length, we can determine the radius of the circle. Doubling the radius gives us the diameter, which is approximately 60 inches.

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1. Organize the data

2. Identify the key statistics

3. Calculate summary statistics

4. Analyze the data

5. Interpret the results

MLB pitching statistics were gathered for a random sample of 20 pitchers from the American League for one full season. To analyze these statistics, follow these steps:

1. Organize the data: Compile the pitching statistics for each of the 20 pitchers in a clear and organized manner. This can be done in a spreadsheet or a table.

2. Identify the key statistics: Determine which pitching statistics are most important or relevant for the analysis. These may include metrics such as earned run average (ERA), wins, strikeouts, innings pitched, and walks.

3. Calculate summary statistics: Find the average, median, and standard deviation for each of the key statistics. This will help provide an overview of the general performance of the sampled pitchers.

4. Analyze the data: Look for trends or patterns in the data, such as correlations between different statistics or any outliers. This can help identify strengths and weaknesses among the pitchers.

5. Interpret the results: Based on the analysis, draw conclusions about the overall performance of the sampled pitchers during the season. Consider whether the findings are representative of the entire American League or if further investigation is needed.

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as the question say, shw drove 32 miles in 4 hours, but for the unit rate you need to simplify it:

32/4=8

she drove 8 miles in 1 hour

so the answer is: option C

Answer: x = 4

Step-by-step explanation: f(2) = 3(2)-1 = 5. Meaning x needs to be a value that makes g(x) = 5. You can set them up equal to each other 5 = 2x-3 and solve. You end up getting x = 4.

It is important to approach statements like this with caution and consider the complexity of the factors at play in career advancement and leadership positions.

While research may indicate that ethnicity can be a significant barrier to advancement in some cases, it is crucial to recognize that experiences can vary based on individual circumstances, industries, and regions. Gender and ethnicity intersect in complex ways, and the challenges faced by women of different ethnic backgrounds can differ significantly.

It is essential to avoid generalizations and recognize that multiple factors contribute to the barriers individuals face in reaching top leadership positions. These factors can include implicit biases, cultural norms, lack of representation, access to opportunities, networking, and organizational structures. Intersectionality, which considers how different aspects of a person's identity can intersect and create unique experiences, is also a crucial perspective to consider when discussing barriers to advancement.

To fully understand and address the barriers individuals face in reaching top leadership positions, it is necessary to consider a comprehensive range of factors and engage in ongoing research, dialogue, and efforts to promote equity, diversity, and inclusion in the workplace.

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The probability of rolling a sum of 5 on a standard pair of six sided dice is 1/9.

According to the given question.

A standard pair of dice is rolled.

So, the sample sapce for rolling a pair of dice = {(1,1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 2), (5, 3), (5, 4),(5, 5),(5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}

⇒ Total number of outcomes = 36

And, the outcomes for getting a sum of five on a sandard pair of six sided dice = {(2, 3), (3, 2), (4, 1), (1, 4)}

⇒ Total number of favorable outcomes = 4

As we know that " probability is the ratio of total number of favorable outcomes to the total number of outcomes".

Therefore,

The probability of rolling a sum of 5 on a standard pair of six-sided dice

= 4/36

= 1/9

Hence, the probability of rolling a sum of 5 on a standard pair of six sided dice is 1/9.

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Each boy should cover a minimum distance of 630 cm (or 6.3 meters) so that they can all cover the distance in complete steps.

To find the minimum distance each boy should cover so that all can cover the distance in complete steps, we need to find the least common multiple (LCM) of their step measurements.

The LCM is the smallest multiple that is divisible by all the given numbers.

The step measurements are 30 cm, 27 cm, and 21 cm. To find the LCM, we can start by listing the multiples of each number until we find a common multiple.

Multiples of 30: 30, 60, 90, 120, 150, 180, 210, ...

Multiples of 27: 27, 54, 81, 108, 135, 162, 189, ...

Multiples of 21: 21, 42, 63, 84, 105, 126, 147, ...

By examining the multiples, we find that the LCM of 30, 27, and 21 is 630. Therefore, each boy should cover a minimum distance of 630 cm (or 6.3 meters) so that they can all cover the distance in complete steps.

By doing so, the first boy would take 630 cm / 30 cm = 21 steps, the second boy would take 630 cm / 27 cm ≈ 23.33 steps (which can be rounded down to 23 steps), and the third boy would take 630 cm / 21 cm = 30 steps.

Hence, by covering a distance of 630 cm, each boy can take complete steps and reach the destination together.

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