fill in the blank. because it is typically too expensive and too time consuming, researchers often select a/n___, a group of people that are representative of the larger population.

Answer:

48 liters.

Step-by-step explanation:

Going from 3/4ths full to 1/2 full has a difference of 1/4; that makes 12 liters 1/4 of the tank.

12 times 4 is 48.  

Answer:

48

Step-by-step explanation:

assume holds x litres

1/2 x + 12 = 3/4 x

so 1/4 x =12

x =48

The minimum value of ||v|| is 0, since the vector v can be the zero vector, which points from the origin to the origin.

The equation (10 3) + (-2 1)t describes the line L, where the vector (10 3) is the point on the line L and the vector (-2 1) is the direction vector. The equation can be re-written as v = (10 3) + (-2 1)t, where v is the vector from the origin to a point on L and t is a scalar.

Since t can be any real number, the vector v can be anything from the origin to a point on L. In particular, the vector v can be the zero vector, which points from the origin to the origin. Therefore, the minimum value of ||v|| is 0.

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This differential equation states that the rate of change of the amount of salt in the tank is equal to the difference between the rate at which brine containing salt is being added to the tank.

(a) The initial amount of salt in the tank is 50 lbs.

(b) The initial volume of solution in the tank is 100 gal.

(c) The concentration of salt being added to the tank is 1 lb of salt per gallon of brine.

(d) The rate at which the solution is being added to the tank is 5 gal/s.

(e) The rate at which the solution is being removed from the tank is 3 gal/s.

(f) The volume of the solution in the tank at time t can be represented by V(t) = 100 + (5 - 3)t = 100 + 2t gal.

(g) The concentration of salt in the tank at time t can be represented by C(t) = x(t) / V(t), where x(t) represents the number of pounds of salt in the tank at time t.

(h) A differential equation with initial conditions that models this mixture problem is:

dx/dt = 5 - 3 = 2 (lb/s), where x(0) = 50 lbs.

This differential equation states that the rate of change of the amount of salt in the tank is equal to the difference between the rate at which brine containing salt is being added to the tank and the rate at which brine is being removed from the tank. The initial condition x(0) = 50 lbs states that the initial amount of salt in the tank is 50 lbs. The units in this differential equation make sense as the rate of change of the amount of salt in the tank is in lbs/s and the amount of salt in the tank is in lbs.

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Answer:

6155.84

Step-by-step explanation:

23000

6% annual

5 years

23000*(1+6%)^5= 30799.19

so 6155.84 per year

April must pay back her auto loan at a rate of $5980 per year. This is calculated by first determining the total repayment sum (principal + interest), and then dividing this total by the number of repayment years.

In this problem about loan repayment, we are asked to find the rate at which April must pay back her loan of $23000 with an interest rate of 6%, which is to be paid off in 5 years. First, we need to determine the total amount to be paid back which is the principal plus the interest. The interest April will pay is given by the formula: Interest = Principal x Rate x Time. So, Interest = $23000 x 0.06 x 5 = $6900. Thus, the total amount to be repaid is $23000 (the principal) + $6900 (the interest) = $29900.

To find out how much she must pay per year, we divide the total payment by the number of years. Therefore, Annual Payment = $29900 / 5 = $5980 per year. So, April must pay back the loan at a rate of $5980 per year.

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The value of y when x = 3 is 36.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 8 is an equation.

We have,

y varies directly as x².

This means,

y = kx²

Now,

When x = -1, y = 4

So,

4 = k(-1)²

k = 4/1

k = 4

Now,

y = 4x²

For x = 3,

y = 4 x 3²

y = 4 x 9

y = 36

Thus,

The value of y is 36.

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Answer: 70x²= 1         30x ALSO= 1        60x⁸= 1   again

Step-by-step explanation: To find the Greatest Common Factor of these three terms you must first factor each term separately:

Answer:

Step-by-step explanation:

D

Part a:  Data from Germany are skewed to the left.

Part b) More Germans survey respondents have visited upwards.

Part c) These box plots show that 20-year-old Chinese rarely venture .

For the stated question:

a) Data from Germany, China, as well as the United States are all skewed to the right. Data from Germany are skewed to the left.

b) More Germans survey respondents have visited upwards of eight foreign countries so the box plot for Germany indicates that for at least 50 percent of Germans survey conducted have visited eight or many foreign countries, while a box plot for said United States indicates that less than 25% of US people involved have done so.

c) These box plots show that 20-year-old Chinese rarely venture outside of the country.

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The complete question is-

In a survey of 20-year-olds in China, Germany, and the United States, people were asked the number of foreign countries they had visited in their lifetime. The following box plots display the results.

a. In complete sentences, describe what the shape of each box plot implies about the distribution of the data collected.

b. Have more Americans or more Germans surveyed been to over eight foreign countries?

c. Compare the three box plots. What do they imply about the foreign travel of 20-year-old residents of the three countries when compared to each other

The two linear inequalities shown in the graph below are y > -2 and

x - y > -1.

According to the mathematical definition of inequality, neither side is equal. When a relationship leads to a non-equal comparison between two expressions or numbers, it is known as an inequality in mathematics. The equal sign "=" in this phrase can be replaced by any of the inequality symbols, such as greater than (>), less than (<), more than or equal to (≥), less than (≤), or not equal to (≠).

Given a graph of linear inequalities,

shows a line parallel to the x-axis which means the value of x is zero,

and the shaded portion is on the positive side of x and y,

from the graph, we find that the equation for the line parallel to the x-axis is

y > -2.

The second line passe from (-1, 0)and (0, 1)

linear equation for the line will be,

y = x + 1

y - x = 1

but the shaded portion is below the line,

so the equation of inequality is y - x < 1

multiply -1 on both sides we get,

x - y > -1

Hence options A and H are correct.

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Answer: no

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

It's not a linear function because

3 and 5  have the same y and its not a linear function

The measure of m ∠ABC is 50°.

In Euclidean geometry -

an angle is the figure formed by two rays known as the sides of the angle and sharing a common endpoint known as the vertex of the angle.

Given is a triangle as shown in the image.

We can write -

∠ACD = 180 - (60 + 40)

∠ACD = 80                                  ...... Eq { 1 }

Now, -

∠ABC + (180 - ∠ACD) + (90 - ∠DAC) = 180

∠ABC + 100 + 30 = 180

∠ABC = 50°

Therefore, the measure of m ∠ABC is 50°.

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The function that has a horizontal asymptote of y = 3 is f(x) = 2(4x) + 3.

option D.

A horizontal asymptote is a horizontal line that a function approaches as the input of the function approaches positive or negative infinity. It is a limiting value of the function as the input gets very large in magnitude

Based on the given question,

The function has a horizontal asymptote of  y = 3.

f(x) = 3(2x) = 6x

Put x = 0

f(x) = 0   (not horizontal asymptote)

f(x) = 2(4)x–3

put x = 0

f(x) = -3

f (x)  ≠ 3  (not horizontal asymptote)

f(x) = 2(4x) + 3

Put x  =0

f(x) = 3.

Thus, the horizontal asymptote of y = 3 is f(x) = 2(4x)+3.

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The -value of -2.576 is less than the critical value of 0.05, we can reject the null hypothesis and conclude that the population mean is not less than .

The -value is the probability of observing a test statistic result as extreme or more extreme than the observed result given that the null hypothesis is true. In this hypothesis test, the null hypothesis is that the population mean is less than , and the alternative hypothesis is that the population mean is not less than . With and , the -value can be calculated using the t-distribution as follows:

The t-distribution has degrees of freedom (df) equal to the sample size minus 1. Therefore, the df for this hypothesis test is .

Using the t-distribution with df = , the -value can be calculated as:

-value = P(t≤-2.576)

The -value is the probability of observing a test statistic result as extreme or more extreme than the observed result given that the null hypothesis is true.

Since the -value of -2.576 is less than the critical value of 0.05, we can reject the null hypothesis and conclude that the population mean is not less than .

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The expected value of the number of rolls necessary to roll a specific number is 6. This is because each roll has an equal probability of rolling the desired number, which is 1/6.

The expected value of the number of rolls necessary to roll a specific number can be calculated by multiplying the probability of rolling the desired number by the total number of rolls. In this case, since the random number generator is a six-sided die, the probability of rolling a specific number, such as a six, is 1/6. Therefore, the expected value of the number of rolls necessary to roll a six would be 6 (1/6 x 6 = 6). This is because each roll has an equal probability of rolling the desired number. To calculate the expected value for any number, simply multiply the probability of rolling the desired number (1/6) by the total number of rolls. For example, if the desired number is a five, the expected value would be 5 (1/6 x 5 = 5). If the desired number is a three, the expected value would be 3 (1/6 x 3 = 3). Thus, the expected value of the number of rolls necessary to roll a specific number is equal to the number itself.

The complete question: Given a discrete random number generator, such as a six-sided die, what is the expected value of the number of rolls necessary to roll a specific number (e.g. a six)?

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The total charge as a function of time is

From the question, we have the following parameters that can be used in our computation:

Time          Price

1/2 hour    $7.00

1 hour       $12.00

2 hours    $17.00

All day     $25.00

For 1/2 hour to 1 hour, we have

Rate = (12 - 7)/(1 - 1/2)

Rate = 10

So, we have

C(t) = 10t + c

Where c is the initial value

So, we have

c = C(t) - 10t

c = 7 - 10 * 1/2 = 2

So, we have

C(t) = 10t + 2, for t < 2

For 2 hours, the rate is

C(t) = 17 for t = 2

Lastly, we have

C(t) = 25 for t > 2

The above represent the piecewise function

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The following phrases are used in place of supply chain:

Supply network ; Demand chain ; Extended enterprise ; Supply web.

The supply chain is a networked system of businesses, people, information, and assets created to locate, produce, and transport items from their point of origin to their final destination, which is often from the a supplier to a customer.

Modern supply chains sometimes span several nations and involve numerous processes, making them exceedingly complicated.

The fundamental steps in such a supply chain are as follows:

Thus, the following phrases are used in place of supply chain:

Supply network ; Demand chain ; Extended enterprise ; Supply web.

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In 120 different ways can the sequence of songs be played.

The art of arranging sound is called music. It is one of the defining characteristics of all human societies' cultures. Styles that highlight, de-emphasize, or exclude common components of organized sound, such as rhythm, loudness, and pitch, can be used to characterize the music.

Tempos and meters can be used to specify rhythm, and pitch variation and juxtaposition are frequently coordinated.

Individual sounds have timbres or textures that significantly affect the music's overall personality.

Music player:

A tool or program that plays digital audio files.

Solution -

To find the ways, multiply  5×4×3×2 .

⇒   20 × 3 × 2

⇒ 120

Therefore, songs can be played in 120 ways.

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Null hypothesis: The population mean daily number of texts for 18-24 year olds is equal to the population mean daily number of texts for 25-34 year olds.

To test whether the population mean daily number of texts for 18-24 year olds differs from the population mean daily number of texts for 25-34 year olds, we need to set up a null hypothesis. The null hypothesis states that the population mean daily number of texts for 18-24 year olds is equal to the population mean daily number of texts for 25-34 year olds. This means that there is no difference in the mean daily number of texts between the two groups. We can then use this null hypothesis to test the data from our sample to see if the difference in means is statistically significant. If the test results show that the difference in means is statistically significant, then we can reject the null hypothesis and conclude that the two population means are significantly different.

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The probability that the dial stops on a red slice is given as follows:

0.

A probability is obtained with the division of the number of desired outcomes by the number of total outcomes in the context of a problem.

The number of total outcomes for this problem is given as follows:

6.

The number of desired outcomes for this problem is given as follows:

0, as there are only blue slices and yellow slices, no red slices.

Then the probability that the dial stops on a red slice is obtained as follows:

p = 0/6

p = 0%.

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After checking the conditions are met, you perform a significance test of H0: μ = 1 versus Ha: μ≠ 1. You obtain a P-value of 0.022. the correct option is

A P-value is the probability of obtaining a test statistic as extreme or more extreme than the one observed, assuming the null hypothesis is true. In this case, the P-value of 0.022 means that there is a 2.2% chance of observing the test statistic if the null hypothesis (μ = 1) were true.

A confidence interval, on the other hand, provides a range of values that are believed to contain the true population mean with a certain level of confidence. The confidence level (e.g. 95%) indicates the degree of certainty that the interval contains the true mean.

A low P-value suggests that the data provide strong evidence against the null hypothesis, and a confidence interval that does not contain the null value supports the alternative hypothesis. However, it is not guaranteed that a 95% or 99% confidence interval will include the value 1 or 0 just based on the P-value obtained from a hypothesis test. The confidence interval depends on multiple factors such as sample size, variability of the data, and estimation method used.

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Answer:

Step-by-step explanation:

You can use conversion to solve for cm

52 km x 1 cm / 4 km = 13 cm

where km cancels out leaving your answer in cm.

the actual distance on the map would be 13 cm

a. Passengers on incoming airline flights, b. Yes, it is a good way, c. 1st, categorical; Reason, categorical; Stay, categorical; Days, quantitative.

The population being studied is passengers on incoming airline flights. Using a questionnaire to collect data from this population is a good way to reach a large number of travelers quickly and easily. The first question is asking about the number of visits to Hawaii, which will provide categorical data. The second question is asking about the primary reason for the trip, which will also provide categorical data. The third question is asking about where the person plans to stay, which will also provide categorical data. The fourth question is asking about the total days in Hawaii, which will provide quantitative data.

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The maximum flight height for a Bar headed Goose is 29,000 feet.

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.

Given that,

Maximum height that Rüppel's Vulture can fly = 37,000 feet

It is given that this height is 8,000 feet more than a Bar-headed Goose.

Let x be the maximum flight height of Bar-headed Goose.

We can write the equation as,

x + 8000 = 37000

Solving this,

x = 37000 - 8000

x = 29,000

Hence a Bar-headed Goose can fly to a maximum height of 29,000 feet.

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The property that justifies the work between Step 3 and Step 4 is the property of real numbers under multiplication and division.

A relationship between two expressions or values that are not equal to each other is called 'inequality.

The given inequality is 19 < 4x - 5

By the addition property, add 5 on both sides

19 + 5 < 4x - 5 + 5

24<4x

By Multiplication and division property, divide both sides by 4

(1/4)24<(1/4)4x

6<x

Hence, the property that justifies the work between Step 3 and Step 4 is the property of real numbers under multiplication and division.

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The equation which represents Rob's debt  is -$15 + -$3 = -$18

Directed numbers, also known as integers, are numbers that have a direction or sign, either positive (+) or negative (-). They are used to represent quantities that have direction, such as temperature, height, weight, etc.

Rob borrows 15 dollars first

He later borrows 3 dollars.

Since we are to drag numbers to write an equation using NEGATIVE integers only,

We have -$15 + -$3 = -$18 which is Rob's debt

If numbers may be used more than once, the equation is

-$5 + -$3 + -$5 + -$2 + -$3 = -$18 which is Rob's debt.

Hence Rob owes his father $18. The debt is represented by the negative sign "-"

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Khai has a higher ratio of American stamps than Zachariah because 9 over 15 is less than 13 over 20.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Zachariah has 9 American stamps out of 15 stamps

Zachariah's ratio is 9 / 15 = 3 / 5=0.6

Khai has 13 American stamps out of 20 stamps.

Khai's ratio is 13 / 20 = 0.65.

0.65>0.6

Khai has a higher ratio of American stamps than Zachariah because 9 over 15 is less than 13 over 20.

Hence, Khai has a higher ratio of American stamps than Zachariah because 9 over 15 is less than 13 over 20.

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The value of the equations are a = 10 , b = -5.1 and c = 1

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

a + ( -7 ) = 3   be equation (1)

On simplifying the equation , we get

a - 7 = 3

Adding 7 on both sides of the equation , we get

a = 3 + 7

a = 10

Substituting the values in the equation , we get

1.9 + b = -3.2   be equation (2)

Subtracting 1.9 on both sides of the equation , we get

b = -3.2 - 1.9

b = -5.1

Substituting the values in the equation , we get

-1/6 + ( 7/6 ) = c   be equation (3)

c = ( 7 - 1 ) / 6

c = 6/6

c = 1

Hence , the equations are solved

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Answer:

-3/2

Step-by-step explanation:

Parallel lines have the same slope, but different y-intercepts. We can find the slope by converting to slope-intercept form:

[tex]\displaystyle 3x+2y=8\\\\2y=8-3x\\\\y=4-\frac{3}{2}x\\\\y=-\frac{3}{2}x+4[/tex]

Hence, the slope of the parallel line will also be -3/2

The amount of water used in a shower lasting 5 minutes is 3.5 gallons.

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Given that, A shower lasting 17 minutes requires 11.9 gallons of water.

Let the amount of water used in a shower lasting 5 minutes be x.

Here, the proportion is

17:11.9 :: 5:x

Now, 17×x=11.9×5

17x=59.5

x=59.5/17

x=3.5 gallons

Therefore, the amount of water used in a shower lasting 5 minutes is 3.5 gallons.

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The percent increase in the number of apps Tan has on his phone is 340%

Number of apps downloaded in months 1 = 5 apps

Number of apps downloaded in months 7 = 22 apps

Percentage increase in the number of apps = changes in the number of apps downloaded/ Number of apps downloaded in months × 100

= (22 - 5) / 5 × 100

= 17/5 × 100

= 3.4 × 100

= 340%

In conclusion, Tan downloaded 340% more apps on his phone after 6 months.

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