Complete the solution of the equation. Find the
value of y when x equals -6.
8x – 5y = -33

Ratio of children, adults and pensioners is 1 : 2 : 8/3 = 3 : 6 : 8.

Let, 3x is number of children.

So, 6x is number of adults and 8x is number of pensioners.

Now,

3x + 6x + 8x = 85

17x = 85

x = 5

Therefore, number of pensioners are 8×5 = 40.

Hence, this is the required solution.

Answer:

The least number of eggs that could have been in the basket is 301

Step-by-step explanation:

The problem can be solved by finding the least common multiple (LCM) of the numbers 2, 3, 4, 5, and 6 and then adding 1 to get the smallest number that satisfies the given conditions. The LCM of 2, 3, 4, 5, and 6 is 60, so we can start by assuming there were 60 eggs in the basket. If we remove 2, 3, 4, 5, and 6 eggs at a time from the basket, we are left with 1, 2, 3, 4, and 5 eggs, respectively. However, if we remove 7 eggs at a time, there are no eggs left in the basket.

To find the smallest number of eggs that works, we can add 1 to the LCM of 2, 3, 4, 5, and 6 and check if it satisfies the given conditions. Adding 1 to 60 gives us 61. If we remove 2, 3, 4, 5, and 6 eggs at a time from a basket of 61 eggs, we are left with 1, 2, 3, 4, and 5 eggs, respectively. If we remove 7 eggs at a time from a basket of 61 eggs, we are left with 4 eggs, which means that 61 is not the answer.

We can continue this process by adding 60 to each subsequent number until we find the smallest number that works. Adding 60 to 61 gives us 121, but this number also does not work. Continuing this process, we eventually find that adding 60 to 241 gives us a basket of 301 eggs, which satisfies all the given conditions. Therefore, the least number of eggs that could have been in the basket is 301.

The measurement of angle 5 is given as follows:

m < 5 = 150º.

In this problem, we have that two parallel lines are cut by a transversal line.

Angles 5 and 8 are on the same position relative to the transversal line, separated by one of the parallel lines, hence they form a linear pair, meaning that they are supplementary.

Supplementary angles have the sum of their measures with a result of 180º, hence the measurement of angle 5 is obtained as follows:

m < 5 + 30º = 180º

m < 5 = 150º.

The diagram is given by the image presented at the end of the answer.

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Answer:

I would love to  help but i dont know pounds so i will try to help in dollars then convert into pounds

lol :) just wait

Step-by-step explanation:

Hi!

The y-intercept is the place where the line crosses the y-axis.

-------------------------------------------------------------------------------------------------------------

All points directly above and to the right of the origin are positive, and all the points directly below and to the left of the origin are negative.

Therefore, if the graph of a line crosses above the origin, the y-intercept is POSITIVE.

Amy needs to know the cost values corresponding to each mileage option and then calculate the expected values to compare them.

To make a decision using the expected value approach, Amy needs to calculate the expected value (EV) for each option and choose the one with the highest expected value.

Let's assume that driving 12,000 miles per year yields a cost of $C1, driving 15,000 miles per year yields a cost of $C2, and driving 18,000 miles per year yields a cost of $C3.

The expected value for each option can be calculated as follows:

Expected value of driving 12,000 miles = (Probability of driving 12,000 miles) * (Cost of driving 12,000 miles)

EV1 = 0.3 * C1

Expected value of driving 15,000 miles = (Probability of driving 15,000 miles) * (Cost of driving 15,000 miles)

EV2 = 0.4 * C2

Expected value of driving 18,000 miles = (Probability of driving 18,000 miles) * (Cost of driving 18,000 miles)

EV3 = 0.3 * C3

Amy should choose the option with the highest expected value. However, without knowing the specific costs associated with each mileage option (C1, C2, C3), it is not possible to determine the exact decision Amy should make. To make a decision, Amy needs to know the cost values corresponding to each mileage option and then calculate the expected values to compare them.

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The correct answer is A, E and F. The data sets show that the number of videos streamed this week is less consistent and lower than the number of videos streamed last week.

Data sets are collections of data that are organized and structured for analysis and reporting. They are typically composed of multiple variables which are organized in rows and columns.

A is correct because the Interquartile Range (IQR) for this week is greater than the IQR for last week. This indicates that the number of videos streamed this week was less consistent than last week.

E is correct because the median for this week is less than the median for last week. This means that the typical number of videos streamed this week is less than the number streamed last week.

F is correct because the IQR for this week is the same as the IQR for last week. This shows that the number of videos streamed this week was as consistent as last week.

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(a) H'(6) is the rate of change of the height of the tree at time t=6, which is the slope of the line tangent to the graph of H(t) at that point. Using the data in the table, we can estimate H'(6) to be 3.2 meters per year. This means that, at t=6, the height of the tree is increasing at a rate of 3.2 meters per year.

(b) H'(t) is the rate of change of the height of the tree at time t. Since H'(t) is twice-differentiable, it is continuous and can take any value between its minimum and maximum values. Therefore, there must be at least one time t, for 2 < t < 10, such that H'(t) = 2.

(c) To approximate the average height of the tree over the time interval 2 ≤ t ≤ 10, we can use a trapezoidal sum with the four subintervals indicated by the data in the table. We have:

Therefore, the average height of the tree over the time interval 2 ≤ t ≤ 10 can be approximated by the trapezoidal sum:

(10 + 14 + 18 + 22) × (2 + 2 + 3 + 3) / 8 = 196/8 = 24.5 meters.

(d) According to the given model, G(x) = 100x/(1+x), if the tree is 50 meters tall, then the diameter of the base of the tree is x = 2, and the rate of change of the height of the tree with respect to time, in meters per year, is given by G'(2) = 100(1 - 2)/(1 + 2)² = -100/9. Therefore, the rate of change of the height of the tree with respect to time, in meters per year, at the time when the tree is 50 meters tall is -100/9 meters per year.

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Answer:

7(2x + 4y + 3)

Step-by-step explanation:

Find a common factor between all of the terms.  In this case, it is 7, so divide all three numbers by 7.  Put the 7 on the outside of the parentheses and put the divided numbers, with the correct signs and variables, inside the parentheses.

Answer:

x = -2 or x = -16

Step-by-step explanation:

We need to find the absolute value of x and to do that we need to follow the below process:

|x+9| = 7 get rid of brakes

x+9 = 7 or x+9 = -7

if

x+9 = 7 subtract 9 from both sides

x = -2

if

x+9 = -7 subtract 9 from both sides

x = -16

Answer: Obtuse

Would appreciate brainly <3

Using the findings from a qualitative study to develop a new quantitative survey is known as mixed integration.

Mixed integration is called the data collection and information classification system that includes both qualitative and quantitative processes as access mechanism to said data and information, that is, performing a mixed or dual analysis of the concepts being studied.

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Mixed methods research tends to be more complex when compared to quantitative and qualitative research respectively. This is because mixed methods research combines both quantitative and qualitative research methods in a single study.

Quantitative research involves the collection and analysis of numerical data, while qualitative research involves the collection and analysis of non-numerical data, such as words, images, and sounds.

Mixed methods research, on the other hand, involves the collection and analysis of both types of data. This requires the researcher to have a deeper understanding of both quantitative and qualitative research methods, as well as the ability to integrate the two types of data in a meaningful way.

Furthermore, mixed methods research often involves the use of multiple data sources, multiple research methods, and multiple levels of analysis. This adds an additional layer of complexity to the research process.

As a result, mixed methods research tends to be more complex than either quantitative or qualitative research alone.

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Answer:

  y=x+5

Step-by-step explanation:

The equation is given in slope-intercept form, so we can read the slope from the equation. It is the x-coefficient, -1.

The slope of the perpendicular line will be the opposite reciprocal of this value:

  -1/-1 = 1

The new y-intercept will be ...

  b = y -mx = (4) -(1)(-1) = 5

Then the slope-intercept equation of the perpendicular line is ...

  y = x +5

Answer:

Step-by-step explanation:

ruler

Answer:

The numerical limits for a B-grade is between 81 and 92

Step-by-step explanation:

Here in this question, our task is to find the numerical limits for B grade. This means the range between a test taker would be scored a B grade

Please check attachment for complete solution and explanation

Answer:

5.830951

Step-by-step explanation:

The area of a square is

A= s^2

Substituting the number 34 into Area we will have

34=s^2

Rationalize.

The number you will get is around 5.830951

Answer:

400 total .... 120 officers

Step-by-step explanation:

.7 X = 280

x=400

Answer:

30% of 280 is 84.

What I did to find the answer was multiply 280 by 3 then divide by 10.

I checked it with a calculator and got the same result being 84.

Select a variable of interest to record frequency of results, such as hours spent studying or miles run per day. Collect data from different individuals or over a longer period. In your PowerPoint slides, include an introduction, data collection method, data analysis, central tendency measures, dispersion measures, and conclusion. Use visual aids like graphs and charts for better understanding.

To select a variable of interest to record the frequency of results, you can choose something like the number of hours spent studying per week or the number of miles run per day. These variables can be measured and recorded easily.

To obtain at least 30 data values, you can collect data from different individuals or over a longer period of time. For example, you can ask 30 different people about the number of hours they spend studying per week or track your own running distance for 30 days.

In your PowerPoint slides, make sure to include the following:

1. Introduction: Start with a title slide and introduce the variable you have chosen.

2. Data Collection Method: Explain how you collected the data and the process you followed to ensure accuracy and consistency.

3. Data Analysis: Present the frequency distribution table or histogram of your collected data. Include the frequency of each value or range of values.

4. Measures of Central Tendency: Calculate and present the mean, median, and mode of the data to describe the average or most common value.

5. Measures of Dispersion: Calculate and present the range and standard deviation of the data to describe the spread or variability of the values.

6. Conclusion: Summarize your findings and any insights you gained from analyzing the frequency of results.

Make sure to keep your PowerPoint slides concise, clear, and visually appealing. Use graphs, charts, and bullet points to enhance understanding.

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The length of XZ in circle C is equal to the √34. This can be found using the Pythagorean theorem and the fact that XZ is a radius of the circle.

As WZ and XR are diameters, they intersect at the center of the circle, which we'll call point O.

Since WX is a chord of the circle, we can use the perpendicular bisector of WX, which passes through O, to find the length of XZ.

Let's call the midpoint of WX point M. Then OM is perpendicular to WX and bisects it.

So we have two right triangles, OXM and MXZ. We know that OM = 5 and XM = 3 (half of WX).

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

OX² = OM² + MX²

OX² = 5² + 3²

OX² = 34

OX = √(34)

Since XZ is also a radius of the circle, we have XZ = OX = √(34).

Therefore, the measure of XZ in circle C is √(34).

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A higher percentage of people who did not wear wrist guards (41.67%) experienced wrist injuries compared to those who did wear wrist guards (11.32%).

Based on the information provided, we can analyze the data on injuries to in-line skaters. Let's break down the given numbers:

Total number of people interviewed: 161

Number of people wearing wrist guards: 53

Number of people wearing wrist guards with wrist injuries: 6

Number of people not wearing wrist guards: 108

Number of people not wearing wrist guards with wrist injuries: 45

From this information, we can calculate the following:

Percentage of people wearing wrist guards with wrist injuries:

(Number of people wearing wrist guards with wrist injuries / Number of people wearing wrist guards) × 100

= (6 / 53)× 100 ≈ 11.32%

Percentage of people not wearing wrist guards with wrist injuries:

(Number of people not wearing wrist guards with wrist injuries / Number of people not wearing wrist guards)×100

= (45 / 108) ×100 ≈ 41.67%

These calculations provide insights into the likelihood of wrist injuries in relation to wearing wrist guards while inline skating. The data suggests that the percentage of wrist injuries among those wearing wrist guards is lower (11.32%) compared to those not wearing wrist guards (41.67%). This indicates that wearing wrist guards may offer some protection against wrist injuries while inline skating.

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Vertically compressing the exponential parent function f(x) = 2^x by a factor of 3 means multiplying every function value by 1/3, resulting in a steeper and narrower curve closer to the x-axis.

If we vertically compress the exponential parent function f(x) = 2^x by a factor of 3, it means that every point on the graph of the function will be compressed closer to the x-axis. In other words, the function values will be multiplied by 1/3.

Let's consider a point on the original exponential function, (x, f(x)). After the vertical compression, this point will have the coordinates (x, (1/3)f(x)). For example, if f(x) = 8 for some x, after compression, the corresponding point will be (x, (1/3)(8)) = (x, 8/3).

This vertical compression affects all points on the graph uniformly, resulting in a steeper and narrower curve compared to the original exponential function.

The y-values of the compressed function will be one-third of the y-values of the original function for each x-value. Therefore, the graph will be squeezed vertically, with the y-values closer to the x-axis.

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1. There are 650 different ways to combine the first two characters.

2. There are 32,500,000 possible password combinations.

1. The first two letters are an alphabetic lowercase letter:

The alphabet has 26 lower case letters.

There are 26 options for the first character and 25 options for the second character because no characters can be repeated.

Therefore, the total number of possible choices for the first two characters

= 26 * 25

= 650

2. The final four characters are a number, which has to be even:

Ten different digits (0 to 9) are conceivable.

There are 10 options for each of the first three digits because there are no constraints.

Therefore, the total number of possible options for the final four characters

= \(10 \times 10 \times 10 \times 5\)

= 50,000

Moreover, the total variety of passwords

= 650 * 50,000

= 32,500,000

Therefore, there are 32,500,000 distinct passwords.

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The chief of security for the Mall of the Dakotas directed a study of theft. He selected a sample of 200 boxes that had been tampered with and ascertained that for 80 of the boxes, the missing pants, shoes, and so on were attributed to shoplifting. For 45 boxes, employees had stolen the goods, and for the remaining 75 boxes, he blamed poor inventory control.

In his report to the mall management, can he say that shoplifting is twice as likely to be the cause of the loss as compared with either employee theft or poor inventory control and that employee theft and poor inventory control are equally likely? Use the 0.10 significance level. H0: The proportions are as stated. H1: The proportions are not as stated. The decision rule using a 0.10 significance level is: Reject H0 if the computed chi-square value is greater than 4.605. Compute the value of chi-square as follows: Observed Frequencies: Shoplifting: 80 Employee theft: 45 Poor inventory control: 75 Total: 200 Expected Frequencies: Shoplifting: (80+45+75) x (80/200) = 80. Employee theft: (80+45+75) x (45/200) = 36. Poor inventory control: (80+45+75) x (75/200) = 84. Total: 200The formula for chi-square is: χ2=∑((Oi−Ei)2/Ei). Using the observed and expected frequencies from above, we get: χ2 = [(80 - 80)²/80] + [(45 - 36)²/36] + [(75 - 84)²/84] = 2.4. The value of chi-square is 2.4, which is less than 4.605. Therefore, we fail to reject H0. Hence, the chief of security for the Mall of the Dakotas cannot say that shoplifting is twice as likely to be the cause of the loss as compared with either employee theft or poor inventory control and that employee theft and poor inventory control are equally likely at a 0.10 significance level.

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Answer:

\(s=\sqrt[3]{V}\)

Step-by-step explanation:

This is a problem in which we can utilize equation rules to solve for s. In order to isolate s, we need to remove that power of 3. To do that, we can take the cubed root of V. Thus, the answer is

\(s=\sqrt[3]{V}\)

Answer: A

Step-by-step explanation: I took the test

Answer:

16.8 pounds

Step-by-step explanation:

Given the following :

Body fat percentage = 12.1%

Weight = 139 pounds

How may pounds of the person's weight is made up of fat:

That is 12.1% of the person's entire body weight

Pound of person's weight composed of fat:

12.1% of 139

(12.1 / 100) × 139

0.121 × 139

= 16.819 pounds.

= 16.8 pounds

Answer: $16.80

Step-by-step explanation:

The disinfecting wipes cost $12 for the store to buy one.

They then add a 40% mark up.

Find out what 40% of $12 is:

= 40% * 12

= $4.80

Add the markup to the cost to find the selling price:

= 12 + 4.80

= $16.80