IND 11. Kim is arranging magazines on shelves. She has 18 sports magazines and 24 news magazines. Each shelf will have the same number of sports and news magazines. If Kim must place all of the magazines on shelves, what are all the possible numbers of shelves Kim can use?​

The amount of pounds of clay left is given by the equation A = 0.51 pounds

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

The total amount of pounds of clay = 3.8 pounds

Now , the amount of clay used by Martha = ( 1/4 ) of the total

So , the amount of clay used by Martha = ( 1/4 ) x 3.8 = 0.95 pounds

And , the remaining amount of clay = 3.8 - 0.95 = 2.85 pounds

Now , the amount of clay used by Scott = ( 2/5 ) of the remaining

So , the amount of clay used by Scott = ( 2/5 ) x 2.85 = 1.14 pounds

And , the remaining amount of clay = 2.85 - 1.14 = 1.71 pounds

On simplifying the equation , we get

Now , the amount of clay used by Alison = 1.2 pounds

So , the remaining amount of clay = 1.71 - 1.2 = 0.51 pounds

Hence , the remaining amount of clay = 0.51 pounds

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Answer:

False

Step-by-step explanation:

Im pretty sure it's false because among the three sides of any RIGHT triangle, not just any triangle

Step-by-step explanation:

In mathematics, the Pythagorean theorem, or Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

The answer is: (x-3)(x-1)(x+2)

Because the first term is x^3, it means that there must be 3 independent x's multiplying by each other. From there you just have to est what numbers to pair them with. If that doesn't make sense let me explain more:If you have x^2 it will be:(x + y) (x + z) If you have x^3 it will be: (x + y) (x + z) (x + g) If you have x^4 it will be: (x + y) (x + z) (x + g) (x + f) etc; now all you have to do after you pick which one it matches with, it just find what the value of y, z, and g are through trial and error. I am not showing all my trial and error because it is long to type out, easier to just explain the process.

Answer:

58.5 ft

Step-by-step explanation:

sin 70=55/length

length=58.5 ft

Answer:

(-2,-1)

Step-by-step explanation:

x = by + ay / a - c

Step-by-step explanation:

Given that

ax - ay = cx + by

Collect like terms

ax - cx = by + ay

Factorize both sides

ax - cx = by + ay

x(a - c) = by + ay

Divide both sides by (a - c)

x(a - c) = by + ay

x = by + ay / a - c

Making x the subject of the formula would be

x = by + ay / a - c

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The angle measure with a negative cotangent ratio is given as follows:

c) 320º.

The cotangent of an angle is obtained with the division of the cosine of the angle by the sine of the angle, that is:

cot(x) = cos(x)/sin(x).

The cotangent is negative when the sine and the cosine have different signs, hence on these following quadrants:

For this problem, we have that the angle of 320º is on the fourth quadrant, hence it has a negative cotangent and is the answer for this problem.

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Answer:

Z = -1

Step-by-step explanation:

to find which value of Z makes the equation true substitute each value of Z into the equation.

Z = -1

7/6(-1) + 1/3 = -5/6

-5/6=-5/6

all other values of Z will not give u an equal statement

Answer:

C) 20

Step-by-step explanation:

3^4−21/3

Convert the exponent to a number

=81−21/3

Subtract

=60/3

Simplify

=20

It's always okay if your not sure about something

keep on trying :D

∠6 and ∠7 are the angles which are supplementary to ∠1.

An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

Supplementary angles are those angles that sum up to 180 degrees.

In the given figure lines l and m are parallel lines.

A transversal passed through parallel lines.

∠1+∠2=180 degrees

∠1+∠3=180 degrees.

∠2 is corresponding angle of ∠6.

∠1+∠6=180 degrees.

∠3 is corresponding angle of ∠7.

∠1+∠7=180 degrees.

Hence, ∠6 and ∠7 are the angles which are supplementary to ∠1.

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The radius of the circle is 10 cm. This means that it has a diameter of 20 cm or 0.2 meters.

If the wheel is spinning at 5 revolutions per minute, it is making 5 revolutions (or revolutions) per minute.

To find the rotation angle of a wheel in 1 second, we need to calculate how many times the wheel rotates in 1 second.

There are 60 seconds in a minute, so the wheel spins 5 times in 60 seconds. In other words, one lap lasts 12 seconds (60 seconds divided by 5 laps).

A circle has 360 degrees, so a circle completes 360 degrees in one revolution. So the wheel rotates 360/12 = 30 degrees in 1 second.

The wheel then rotates 30 degrees in one second.

Answer:

79.7°

Step-by-step explanation:

You hava to do this =

\(180-100.3=79.7\)

Answer:

79.7°

Step-by-step explanation:

Supplementary angles add up to 180°

100.3 + x = 180

Subtract 100.3 from both sides

x = 79.7°

AB and YX are corresponding sides, BC and XZ are corresponding sides, and AC and YZ are corresponding sides of given triangle.

What is triangle?

A triangle is a two-dimensional geometric shape that has three sides, three angles, and three vertices. It is one of the simplest polygonal shapes and is commonly studied in geometry.

Since we have:

∠A ≅ ∠Y

∠B ≅ ∠X

∠C ≅ ∠Z

We can conclude that the two triangles ABC and XYZ are similar by the Angle-Angle (AA) similarity theorem.

Therefore, the corresponding sides of the two triangles are proportional to each other. We can write this as:

AB : YX = BC : XZ = AC : YZ

where AB and YX are corresponding sides, BC and XZ are corresponding sides, and AC and YZ are corresponding sides.

In other words, the ratio of the length of each side in triangle ABC to the corresponding side in triangle XYZ is constant.

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Minimum score required for the scholarship = 605

To find the minimum score required for the scholarship, we need to find the score that corresponds to the top 6% of scores.

First, we need to find the z-score that corresponds to the top 6%. We can use the standard normal distribution table or calculator to find this.

Using the calculator, we can input:

normalcdf(0.94,9999)

This gives us the area under the curve to the right of z=0.94, which is the z-score that corresponds to the top 6%.

We get: 0.1664

This means that the top 6% of scores correspond to z-scores greater than 0.94.

Now we can use the z-score formula:

z = (x - μ) / σ

where x is the score we want to find, μ is the mean (489), and σ is the standard deviation (112).

Rearranging this formula, we get:

x = z * σ + μ

Substituting in the values we have:

x = 0.94 * 112 + 489

x = 605.08

Rounding this to the nearest whole number, we get:

Minimum score required for the scholarship = 605

To find the minimum score required for the scholarship, we will use the given information about the SAT writing scores being normally distributed with a mean (µ) of 489 and a standard deviation (σ) of 112. We need to find the score that corresponds to the top 6%.

Step 1: Convert the percentage to a decimal. Top 6% = 0.06.

Step 2: Find the Z-score that corresponds to the top 6%. This means we want to find the Z-score that has 1 - 0.06 = 0.94 area to the left. Using a Z-table, you can find that the Z-score is approximately 1.555.

Step 3: Use the Z-score formula to find the minimum score (X):

Z = (X - µ) / σ

1.555 = (X - 489) / 112

Step 4: Solve for X:

1.555 * 112 = X - 489

174.16 = X - 489

X = 663.16

Round to the nearest whole number: X = 663.

So, the minimum score required for the scholarship is 663.

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Answer:

28% of 82

Step-by-step explanation:

25% of 90 is 22.5

28% of 82 is 22.96

It should be noted that 28% of 82 is greater than 25% of 90

The value of 25% of 90 will be:

= 25% × 90

= 25/100 × 90

= 0.25 × 90

= 22.5

The value of 28% of 82 will be:

= 28% × 82.

= 28/100 × 82

= 0.28 × 82

= 22.96

Therefore, we can see that 28% of 82 is greater than 25% of 90

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The area under the curve to the right of 64 is 0.2514.

To find the area under the curve to the right of 64 in a normal distribution with mean μ = 60 and standard deviation σ = 6, follow these steps:

1. Calculate the z-score: z = (x - μ) / σ, where x = 64.
  z = (64 - 60) / 6
  z = 4 / 6
  z ≈ 0.67

2. Use a z-table or calculator to find the area to the left of z = 0.67.
  The area to the left of z = 0.67 is approximately 0.7486.

3. Subtract the area to the left from 1 to find the area to the right of z = 0.67.
  Area to the right = 1 - 0.7486
  Area to the right ≈ 0.2514

So, the area under the curve to the right of 64 in this normal distribution is approximately 0.2514.

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The unit rate at which Darrell walks is 1.5 meters per second.

Unit rate is defined as per unit time. Unit rate can be anything from speed, acceleration or any other measurement.

The quantity that is achieved in a single unit of time is called the unit rate.

The unit rate is calculated by dividing the total amount by total time that is taken to complete the total amount.

Here Darrell walks 90 meters in 60 seconds.

The unit time to be considered here is 1 second.

so Darrell walks a certain amount of distance in 60 seconds.

Therefore the unit rate in which he walks = total distance covered ÷ total time taken

∴ unit rate = 90 ÷ 60 meters per second = 1.5 meters per second.

Disclaimer : The complete question is : In 60 seconds, Darrell walks 90 meters. Find the unit rate at which Darrell walks.

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The number of centimetres in the 1 yard will be 9.144 cm.

Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure.

Given that:-

Metric System Units

1 inch = 2.54 centimetres

1 foot = 0.3048 meters

1 mile = 1.61 kilometres

1 yard = 3 feet

1 yard = 36 inches

First, we will calculate 1 yard to feet.

1 yard = 3 feet

1 feet = 0.3048 meters

1 feet = 3.048 centimeters

1 yard = 3 x 3.048 centimeters

1 yard = 9.144 centimeters

Hence, the length of 1 yard in cm is 9.144 cm.

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The given equation is:

y - 5 = 1/2 (x-4)

On simplifying this,

⇒ y - 5 = (x - 4)/2

⇒ (y - 5) *2 = x - 4

⇒ 2y - 10 = x - 4

⇒ 2y = x - 4 + 10

⇒ 2y = x + 6

Now, let x = 0,

2y = 0 + 6

⇒ 2y = 6

⇒ y = 3

let y = 0,

x + 6 = 0

⇒ x = -6

So, two points of the given equation are (0,3) and (-6,0)

On plotting these points of the graph, we will get the line on the graph.

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With a smaller error bound, the confidence interval narrows, increasing confidence in the estimated mean age with a more precise range of values.

To construct a 95% confidence interval for the true mean age of Winter Foothill College students, we need to calculate the margin of error and then determine the interval.

First, let's calculate the standard error, which is the standard deviation divided by the square root of the sample size:

Standard Error = (Population Standard Deviation) / sqrt(sample size)

Standard Error = 15 / sqrt(25)

Standard Error = 15 / 5

Standard Error = 3

The margin of error is then calculated by multiplying the standard error by the appropriate critical value from the t-distribution. For a 95% confidence level, the critical value is 2.063 (assuming a sample size of 25 and using a t-distribution).

Margin of Error = (Critical Value) * (Standard Error)

Margin of Error = 2.063 * 3

Margin of Error = 6.189 (rounded to three decimal places)

To calculate the confidence interval, we subtract and add the margin of error to the sample mean:

Confidence Interval = Sample Mean ± Margin of Error

Confidence Interval = 30.4 ± 6.189

Confidence Interval = (24.211, 36.589)

The area in each tail is determined by the confidence level. In this case, it's a 95% confidence interval, so there is 2.5% of the total area in each tail.

In one complete sentence, the 95% confidence interval means that we are 95% confident that the true mean age of Winter Foothill College students falls within the interval of (24.211, 36.589).

If the confidence level were reduced to 90%, the critical value from the t-distribution would change. With a smaller critical value, the margin of error would decrease.

Therefore, the error bound would become smaller, resulting in a narrower confidence interval. This means that we would have a higher level of confidence in the estimated mean age, but the interval would be less wide, providing a more precise range of potential values for the true mean age.

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Answer:

1 8/9

Step-by-step explanation:

how many 9's go in to 17. once. can it go again in the leftovers nope. so you get 1 8/9

Answer:

Step-by-step explanation:

(Simple process)

Thinking process:

1. How many 9s can you fit into 17

2. 17/9 and then the quotient you put as the numerator

Answer: 1 8/9

Answer:

30°

Step-by-step explanation:

Since the folded paper can fit into the slide three times, we simply have to multiply 10° by 3:

10° * 3 = 30°

The angle of the slide is 30°

The amount that she make in a workweek if she sold $4,800 worth of merchandise will be $605.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

Here, Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop.

The amount that she make in a workweek if she sold $4,800 worth of merchandise will be:

= $365 + (5% × $4800)

= $605

The amount is $605.

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Answer:

x=57

Step-by-step explanation:

a triangle has a sum of 180 degrees

that angle 51 is vertical to the angle across it so it is 51

we do math now

180-72-51=57

I hope this helped :))

Answer:

C

Step-by-step explanation:

There are 3 pairs of corresponding sides with proportional lengths.

The ratios of the lengths of corresponding sides are equal AB/XY = BC/YZ = AC/XZ, then ΔABC and ΔXYZ  proven similar through SSS .

To prove two triangles similar using the SSS (Side-Side-Side) similarity criterion, all three pairs of corresponding sides of the two triangles must be proportional .

The SSS similarity criterion states that if the ratio of the lengths of corresponding sides in two triangles is equal, then the triangles are similar.

Given that we have a list of triangles,  to compare the ratios of their corresponding sides to see if any pairs satisfy the SSS similarity criterion.

The three pairs of corresponding sides in the triangles are denoted as follows:

Side A: Sides that are corresponding in length between the two triangles.

Side B: Sides that are corresponding in length between the two triangles.

Side C: Sides that are corresponding in length between the two triangles.

Since the specific list of triangles is not provided, I cannot give you the exact pairs that  proven similar through SSS similarity. However, I provide with an example:

Example:

Consider two triangles, ΔABC and ΔXYZ, where the corresponding sides are as follows:

ΔABC: AB, BC, and AC

ΔXYZ: XY, YZ, and XZ

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The p-value for a test concerning a mean is 0.064.

What is p-value?

A p-value, also known as a probability value, is a numerical representation of the likelihood that your data would have occurred under the null hypothesis of your statistical test.

As per question given,

This is two tail list then z = 1.85.

p (z > 1.85) = 1 - p (z < 1.85)

                  = 1 - 0.9678

                  = 0.0322

Thus, the p-value is

p-value = 2 × 0.0322

            = 0.064

Hence, the p-value for a test concerning a mean is 0.064.

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A disadvantage of secondary data is that the current researcher has no control over the accuracy of the data.

Research information that has already been obtained and is available as secondary data. Primary data, which is information gathered directly from its source, is in contrast to the phrase.

Data that is gathered by a user other than the main user is referred to as secondary data. Census data, information gathered by government agencies, company records, and data that was initially gathered for other research purposes are all common sources of secondary data for social science.

Secondary data is information that was gathered earlier by another party. questionnaires, personal interviews, observations, experiments, etc. Publications, websites, books, journal articles, internal documents, etc. produced by the government.

Disclaimer

What is the disadvantage of secondary data.

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The number of data set (n) is equal to 40

Data Given;

This is the average of a particular data set.

To solve this problem, we would apply the formula of calculating mean.

\(x = \frac{sum}{n}\)

substitute the values and solve for the number of data set

\(20 = \frac{800}{n}\\ n = \frac{800}{20}\\ n = 40\)

From the calculations above, the number of data set here is 40.

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