A group of students collected old newspapers for a recycling project. The data shows the mass, in kilograms, of old newspapers collected by each student.



23, 35, 87, 64, 101, 90, 45, 76, 105, 60, 55


98, 122, 49, 15, 57, 75, 120, 56, 88, 45, 100.



What percent of students collected between 49 kilograms and 98 kilograms of newspapers? Explain how you got to your solution

Answer:

x=15

Step-by-step explanation:

5x+17+36=128

5x+53=128

5x=75

x=15

Answer:

10

Step-by-step explanation:

it will be criss cross

Answer:Im almost positive the answer is 3(a-6)^2-2(a-6)+4

hope i helped :D

Step-by-step explanation:

Answer:

1/5=0 more

.02=0 more

3/8= 1/2 less

2/3= 1/2 more

4/5= 1 less

0.9= 1 less

4/3= 1 more

Step-by-step explanation:

9514 1404 393

Answer:

  (d)  y = -2x +8

Step-by-step explanation:

The parallel line will have the same x-coefficient, eliminating choices B and C. If it goes through point (4, 0), then (x, y) = (4, 0) will satisfy the equation.

  A: 0 = -2(4) +4 = -4 . . . . . not true

  D: 0 = -2(4) +8 . . . . . . . . true

The equation you're looking for is ...

  y = -2x +8

__

Additional comment

Since you know the slope is -2 and a point on the line is (4, 0), you can use the point-slope form of the equation for a line as a starting point.

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

For m = -2, and (h, k) = (4, 0), the equation becomes ...

  y -0 = -2(x -4)

Simplified to slope-intercept form, this is ...

  y = -2x +8

The value of "i" squared results in:

(-1) = i²

Numerical sets are groupings of numerical values that have a particularity in common, they can be integers, decimals, fractions, among others.

Among the numerical sets there is one that we call complex numbers, which include values that are not real, such as "i" a letter that denotes that it is an imaginary number.

In function to this type of numbers there is a particular value and it is the "i" which is the result of the square root of -1, then we have:

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Answer: A

Step-by-step explanation:

Answer:

its the second one

Step-by-step explanation:

The correct answer is: option D. Bus 18, with a median of 12.

To determine which bus typically has the faster travel time, we need to compare the measures of center of the two sets of data. The measure of center that we use depends on the shape of the data. In this case, since the data is not symmetric, we should use the median as the measure of center.

Looking at the line plots, we can see that the median travel time for Bus 14 is approximately 14 minutes (the value with four dots above it), while the median travel time for Bus 18 is approximately 12 minutes (the value with two dots above it).

Since the median is less affected by extreme values than the mean, it is a more appropriate measure of center for this data. Therefore, we can conclude that Bus 18 typically has the faster travel time, with a median of 12 minutes, compared to Bus 14's median of 14 minutes.

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Answer: B

Step-by-step explanation:

The space matrix is a strategic management tool that helps organizations analyze their internal dimensions by plotting their financial strength and competitive advantage on the axes. This analysis enables decision-makers to determine appropriate growth strategies and allocate resources effectively.

The two internal dimensions represented on the axes of the space matrix are technology and market diversity. This is determined by plotting the company's position on each dimension using a scale of one to six, with one being low and six being high. The space matrix then combines these two dimensions with two external dimensions (industry attractiveness and business strength) to create a visual representation of the company's position in the market. In summary, the space matrix assesses a company's competitive position and strategic choices by evaluating these four dimensions in a three-by-three matrix.

Financial Strength (FS): This axis represents the organization's financial position, which can include factors like revenue, profitability, and access to capital. A strong financial position allows a company to invest in new projects and face competition effectively. Competitive Advantage (CA): This axis represents the unique capabilities, resources, or attributes that give an organization an edge over its competitors. These can include aspects like superior products, strong brand recognition, and efficient supply chain management. A sustainable competitive advantage enables a company to maintain or improve its market position.

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Answer:

B/a

Step-by-step explanation:

Because 1/a is still the same as a to power negative one and so 1/b. 1/a divided by 1/b is b/a

The size class interval recommend is 30.

Assume that the observations are more or less evenly distributed across the range, and you should get about 5 observations per class.

It also presumes that your interest in the observations is uniform: you are equally interested in values close to 60 as you are in values close to 480. If you were only interested in values above 450, you could group all values from 56 to 449 into one large class and divide the rest into smaller classes.

It is also necessary to check to see if the distribution is uniform. If it is skewed in either direction, it makes more sense to have smaller classes where the observations are dense and larger classes where they are sparse.

Therefore, the size class interval recommend is 30.

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Answer:

Given:

x = 3(y - b)/m

Solving for y in steps

Multiply both sides by m:

mx = 3y - 3b

Add 3b to both sides:

mx + 3b = 3y

Divide both sides by 3:

(1/3)mx + b = y

y = (1/3)mx + bStep-by-step explanation:

Answer:

x = 36

Step-by-step explanation:

Cross multiplication yields:

20x = 24(30), or

x = 24(30)/20 = 36

Answer:

Solve for x by simplifying both sides of the equation, then isolating the variable. => x=36

Step-by-step explanation:

The real roots of the equation x⁴ −6x² +5=0 are -√5, √5, -1 and 1.

Given equation is x⁴ −6x² +5=0

To find the roots of the given equation by factoring method:

First, Let y=x²

Therefore, the equation becomes: y² -6y +5=0

Factorizing the above equation, we get:(y-5)(y-1)=0

From the above equation, we get two values of y: y=5, y=1

When y=5, x²=5 taking square root on both sides we get x= ±√5

When y=1, x²=1 taking square root on both sides we get x= ±1

Hence the real roots of the equation x⁴ −6x² +5=0 are -√5, √5, -1 and 1.

In the comma-separated list, the answer is -√5, 1, √5, -1.

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To determine the cost allocated to the land, we need to calculate the proportionate cost of the land in relation to the total appraised value of the real estate. Therefore, the cost allocated to the land is $32,500.

The total cost paid for the real estate is $310,000 plus $15,000 in closing costs, totaling $325,000. To allocate the cost to the land, we need to calculate the proportion of the land's appraised value to the total appraised value of the real estate.

The total appraised value of the real estate is the sum of the appraised values of the land, building, and land improvements, which amounts to $35,000 + $105,000 + $210,000 = $350,000.

To calculate the cost allocated to the land, we divide the appraised value of the land by the total appraised value of the real estate and multiply it by the total cost paid:

Cost allocated to land = (Appraised value of land / Total appraised value) * Total cost

= ($35,000 / $350,000) * $325,000

= 0.1 * $325,000

= $32,500

Therefore, the cost allocated to the land is $32,500. This allocation is based on the relative appraised value of the land compared to the total appraised value of the real estate.

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Answer:

r=52, v=9.96, a=-8.5 all calculated

Answer: To simplify the expression (3k + 4 1/5) + 8 3/5, we need to add the two mixed numbers and then combine the whole numbers and the fractions.

The first step is to convert the mixed numbers to improper fractions. We do this by multiplying the whole number part of each mixed number by the denominator of the fraction and then adding the numerator of the fraction. This gives us the following:

(3k + 4 1/5) + 8 3/5 = (3k + 21/5) + 51/5

The next step is to add the fractions by finding a common denominator and then adding the numerators. In this case, the least common multiple of 5 and 5 is 5, so we can use that as the common denominator. We then add the numerators to get the following:

(3k + 21/5) + 51/5 = (3k + 42/5)

Finally, we need to combine the whole numbers and the fraction. We do this by adding the whole number part of the expression (3k) to the whole number part of the fraction (42/5), which gives us the following:

(3k + 42/5) = (3k + 8 2/5)

Thus, the simplified form of the expression is (3k + 8 2/5).

Step-by-step explanation:

Answer:

angle y = 60

Step-by-step explanation:

They are equal due to the rule that vertical angles are always equal

"A pair of vertically opposite angles are always equal to each other."

hope this helps

Answer:

pretty sure its 5

Step-by-step explanation:

a. The probability that a randomly selected pipe is made of PVC is approximately 0.242 or 24.2%.

b. The probability that randomly selected pipe is a trunk is 0.104

c. The probability that randomly selected pipe is a main made of galvanized iron (gi) is 0

d. The probability that randomly selected pipe is  a submain made of asbestos cement is 0.168

What is probability?

The chance of an event can be calculated using the probability formula by simply dividing the favorable number of possibilities by the total number of outcomes. The likelihood of an event occurring can be anything between 0 and 1, as the favorable number of outcomes can never exceed the total number of outcomes.

a. The total number of pipes is 8646, and the number of pipes made of PVC is 2092. The probability of a randomly selected pipe being made of PVC is:

P(PVC) = 2092/8646 ≈ 0.242

b. The total number of pipes is 8646, and the number of trunk pipes is 903. The probability of a randomly selected pipe being a trunk is:

P(trunk) = 903/8646 ≈ 0.104

c. The total number of main pipes is 5299, and the number of main pipes made of galvanized iron (GI) is 0 (according to the table). Therefore, the probability of a randomly selected main pipe being made of GI is:

P(GI|main) = 0/5299 = 0

Note that the vertical bar "|" means "given" or "conditioned on".

d. The total number of submain pipes is 2444, and the number of submain pipes made of asbestos cement (AC) is 411. Therefore, the probability of a randomly selected submain pipe being made of AC is:

P(AC|submain) = 411/2444 ≈ 0.168

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Interval (-4, 2) and (2, [infinity]) provide complete solution.

The correct set of points that can be tested to find a complete solution to the rational inequality with critical points x = -4 and x = 2 is option c. (-4, 2) and (2, [infinity]).

Critical points are the values of x where the rational inequality may change its sign or behavior. In this case, the critical points are x = -4 and x = 2. To determine the complete solution, we need to test intervals on the number line to see where the inequality is true or false.

The interval (-[infinity], -4) does not include x = -4, so it does not provide information about the inequality's behavior at x = -4. Similarly, the interval (-4, 2) does not include x = 2, so it does not provide information about the inequality's behavior at x = 2.

However, the interval (2, [infinity]) includes x = 2, which allows us to test the behavior of the inequality after x = 2. By testing a value greater than 2 in the inequality, we can determine if the inequality is true or false in this interval.

Therefore, the correct set of points to find a complete solution to the rational inequality is option c. (-4, 2) and (2, [infinity]).

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Answer:

anything to the power of 0 is always going to be 1 so the problem isnt as hard as it seems. so 1 million to the power of 0 will still be 1. so instead of the problem being 10,324 to the power of 0 by 8,576 to the power of 0 its really 1 x 1.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

If you have a number with the exponent 0, then you should know that the exponent 0 always means 1. So, 10,324^0 is 1 and 8,576^0 is also 1.

Now, you have 1 times 1.  

1 times 1 = 1

So, the answer is 1.

The amount of money in the account after 7 years is $384.

Given,

deposited amount = $300

rate of interest = 4%

time = 7 years

calculate rate in decimal = 0.04

we are asked to determine the amount of money in the account after 7 years.

we know the simple interest formula = P×R×T

substitute the above values in the formula.

⇒ S.I = 300×0.04×7

⇒ S.I = 84

Now we calculate amount after 7 years:

Amount = P + S.I

Amount = 300+84

= $384

Hence we get the amount after 7 years in the bank as $384

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Answer:

Let's define:

X = number of pounds of the brand 1 (price = $2.50 per pound)

Y = number of pounds of the brand 2 (price = $2.80 per pound)

We want to make a mix of 480 pounds, then:

X + Y = 480.

And we want the mean price to be $2.68, then:

(X*$2.50 + Y*$2.80)/480 = $2.68

Then we have a system of equations:

X + Y = 480

(X*$2.50 + Y*$2.80)/480 = $2.68

To solve this, the first step will be to isolate one variable in one of the equations, and then replace this in the other equation.

Let's isolate X in the first eq.

X = 480 - Y.

Now we can replace this in the other equation and get:

((480 - Y)*$2.50 + Y*$2.80)/480 = $2.68

Now let's solve this for Y.

((480 - Y)*$2.50 + Y*$2.80) = $2.68*480 = $1,286.40

$1,200 + Y*$0.30 = $1,286.40

y*$0.30 =  $1,286.40 - $1,200 = $86.40

Y = $86.40/$0.30 = 288

Then:

X = 480 - Y = 480 - 288 = 192

Then the manager must use 192 pounds of the brand that costs $2.50 per pound, and 288 pounds of the brand that costs $2.80 per pound.

After taking Math 1010, their hourly wage increases to $12, which is a raise of 20%. They now make 20% more than their coworker. the person's new wage is $12 and the coworker's wage is $11, the person now makes ($12 - $11) / $11 * 100 ≈ 9.09% more than the coworker.the raise is 57.4%.

The hourly wage of the person is $10, while their coworker earns 10% more, making it $11 per hour.
Let's denote the person's hourly wage as x. According to the given information, the coworker earns 10% more than the person. This means the coworker's hourly wage is x + 0.10x = 1.10x.
Together, they make $16 per hour, so their combined wages are x + 1.10x = 2.10x. Since this equals $16, we can solve for x: 2.10x = $16, which gives x = $7.62.
After taking Math 1010, the person's hourly wage increases to $12. The raise amount can be calculated as the difference between the new wage and the previous wage, which is $12 - $7.62 = $4.38. To calculate the raise percentage, we divide the raise amount by the previous wage and multiply by 100: (4.38 / 7.62) * 100 ≈ 57.4%. Therefore, the raise is approximately 57.4%.
Since the person's new wage is $12 and the coworker's wage is $11, the person now makes ($12 - $11) / $11 * 100 ≈ 9.09% more than the coworker.

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The price elasticity of the supply is 0.43.

The relationship between the percentage change in a product's quantity demanded and the percentage change in price is known as price elasticity of demand. It helps economists comprehend how supply and demand shift in response to changes in a product's price.

Price Elasticity of Demand =\(\frac{Percentage Change in Quantity}{Percentage Change in Price }\)=\(\frac{\Delta Q}{\Delta P}\)

Further, the equation for price elasticity of demand can be elaborated into

Percentage change in quantity=ΔQ=\(\frac{(q_{2}-q_{1})}{(q_{2}+q_{1})}}\)

Percentage change in quantity=ΔP=\(\frac{(p_{2}-p_{1})}{(p_{2}+p_{1})}}\)

Where, \(q_{1}\)= Initial quantity, \(q_{2}\)= Final quantity,\(p_{1}\)= Initial price and \(p_{2}\) = Final price

Here,  \(q_{1}\)=10000,\(q_{2}\)=5000

Percentage change in quantity=ΔQ

=\(\frac{10000-5000}{10000+5000}\)

=\(\frac{5000}{15000}\)

=0.333

Here,  \(p_{1}\)=20 and \(p_{2}\)=15

Percentage change in quantity=ΔP

= \(\frac{20-15}{20+15}\)

=\(\frac{5}{35}\)

=0.143

Price Elasticity of Demand

=\(\frac{Percentage Change in Quantity}{Percentage Change in Price }\)

=\(\frac{0.333}{0.143}\)

=2.33

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Answer:

a.

Step-by-step explanation: