16. Two numbers, n and p are plotted on the number line shown,
The numbers n-p.n.p. and p-n will be plotted on the number line.
Select an expression from each list to make this statement true.
The number with the least value is.
and the number with the greatest value is
Mathematics-Session 1
n-p
n+p
p-n
n-p
n+p
p-n

Answer:

63

Step-by-step explanation:

substitute m = 3 and n = 7 into the expression

3mn

= 3 × 3 × 7

= 9 × 7

= 63

Answer:

y = 4x - 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, - 1 ) and (x₂, y₂ ) = (3, 7 )

m = [tex]\frac{7-(-1)}{3-1}[/tex] = [tex]\frac{7+1}{2}[/tex] = [tex]\frac{8}{2}[/tex] = 4 , then

y = 4x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (3, 7 ) , then

7 = 4(3) + c = 12 + c ( subtract 12 from both sides )

- 5 = c

y = 4x - 5 ← equation of line

On soloing the provided question we can say that - Area of the Circle - Area of the Triangle - Area of the Square is the area of the darkened area. A = 210-123 = 87 sq unit

Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is a graphical representation of a triangle having vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is a polygon that has three sides and three corners. The spots where the three sides join end to end make up the triangle's corners. Three triangle angles added together equal 180 degrees.

the sum of the areas of the circle, the triangle, and the square.

Area of the Circle - Area of the Triangle - Area of the Square is the area of the darkened area.

A = 210-123 = 87 sq unit

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Answer: ∠ZXY or ∠YXZ

X is in the middle because it is the point of the angle

Z and Y are not points of the angle so they don't go in the middle

If either (p q) or (p r) or both (p q) and (p r) are true, then (p q) V (p r) will be TRUE. The provided table reveals that only the results A and B are correct answers.

The union of any two or more sets results in a completely new set that contains a combination of elements that are present in both those two or more given sets.

The table displays the results of (p q) and (p r) for each potential scenario. Which of these occurrences' combined results will always be true must be determined.

(p^q) the term V(p r) denotes the union of (p q) and (p r). The property of a union of two sets or events is that it will be true if either one or both of the events are true, i.e., there must be at least one True(T) for the union of two sets to be True.

Therefore, if either (p q) or (p r) or both (p q) and (p r) are true, then (p q) V (p r) will be TRUE. The provided table reveals that only the results A and B are correct answers.

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The truth table represents statements p, q, and r.

         p      q       r       p^q        p^r

A       T       T       T       T             T

B       T       T       F       T             F

C       T       F       T       F             T

D       T       F       F       F             F

E       F       T       T       F             F

F       F       T       F       F             F

G       F       F       T       F             F

H       F       F       F       F             F

Which rows represent when (p ^ q) v (p ^ r) is true?

A and B

A, B, and C

B and E

B, C, and E

Answer:

B

Step-by-step explanation:

The answer is B. 12

We need 1500 ft³ of a storage unit to combine 5 filled Uboxes.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, If a Ubox equals 300 ft³.

Therefore, The amount of cubic feet of space i need to combine 5 filled

Uboxes can be obtained by multiplying the number of Uboxes with the volume of one Ubox which is,

= 300×5 cubic feet.

= 1500 cubic feet.

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Using probability we know that the value of m+n = 11.

The area of mathematics known as probability works with numerical representations of the probability that an event will occur or that a statement is true.

A game's probability is a number ranging from zero and 1, where, roughly speaking, 0 denotes the game's impossibility and 1 denotes certainty.

So, we know that:

5 tails = 1/25 times the probability of occurrence of five heads and three tails.

p = m/n

The value of m+n will be:

p + q = 1

We have, ⁸C₃p³(1-p)⁵ = 1/25⁸C₅p⁵(1-p)³

25(1-p)² = p²

p/1-p = ±5

p = 5/6, 5/4

p = 5/6 = m/n

(P<1)

m+n = 11

Therefore, using probability we know that the value of m+n = 11.

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The probability that numbers 5 and 6 will both be picked is 1/15.

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating that the event will not occur and 1 indicating that the event will definitely occur.

If a bowl contains 6 balls, marked with the numerals 1 through 6, and two balls are picked out at random, then there are 15 possible outcomes.

6C2 = 15

Since there is only one chance where 5 & 6 will both be picked from 15 total possible outcomes, then the probability is 1/15.

p = 1 / 15

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Answer:

2x = 48.5

Step-by-step explanation:

Not sure what the options for this question was. However, in the case that the amount Samuel earned is equal to x

Samuel $$ = x

Monica $$ = 2(x)

Monica $$ = $48.50

[tex]Samuel $$ = \frac{Monica }{2}[/tex]

Then the equation would be 2x = 48.5

Answer:

M = 48.5   S = 24.25   K = 17.25   (S = 48.5 divided by 2)

Step-by-step explanation:

Divide Monica's answer by two to find Samuel's amount.

The equation would probably look like: S = 48.5 divided by 2 or S = M divided by 2

(S is Samuel's amount and M is Monica's amount)

The ratio of dramas to movies, given the number of drama, comedy, and action movies, is 1 : 5.

The ratio of dramas to movies can be found when we first find the number of movies in total :

= Drama movies + Comedy movies + Action movies

= 3 + 8 + 4

= 15 movies

The ratio of dramas to movies would be:

Number of drama movies : Number of total movies

3 movies : 15 movies

In the simplest terms :

3 / 3 : 15 /3

1 : 5

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Full question is:

There are 3 drama movies 8 comedy movies and 4 action movies what's the ratio of dramas to movies ?

The length of segment NF is given as follows:

NF = 16.

The incenter of a triangle represents the intersection point of all the three interior angle bisectors of the triangle.

Considering the concept of the incenter, the congruent segments are given as follows:

As congruent segments have the same measure, the value of x is obtained as follows:

6x - 2 = 3x + 7

3x = 9

x = 9/3

x = 3.

Hence the length of NF = ND = NE is obtained as follows:

ND = 6(3) - 2

ND = 18 - 2

ND = 16.

(the three segments are congruent, hence we can replace x into any of the lengths, calculate the length, and attribute it to NF).

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

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Answer:

[tex]x=57[/tex]

Step-by-step explanation:

By the converse of the alternate interior angles theorem, [tex]x=57[/tex].

Answer: 1000 thousands

Answer: To determine the number of cartons to buy, we simply divide the total number of people to be fed to the number of people that can be fed per one carton of eggs. We do as follows:

Number of carton of eggs = 25 people / 4 people/carton

Number of carton of eggs = 6.25 carton

It would be rounded of to 7 cartons since we cannot buy only 1/4 of a carton.

Step-by-step explanation:

The ball reaches a height of approximately 1.60256 feet on the fifth bounce.

We can use the formula for the height of the nth bounce, h(n) = h(1) * (0.83)^(n-1), where h(n) is the height of the nth bounce, h(1) is the height of the first bounce, and 0.83 is the bounce coefficient (the percentage of the previous height that the ball reaches on each subsequent bounce).

Given that the first bounce reaches a height of 5.2 feet, we can plug in h(1) = 5.2 into the formula and solve for h(5), the height of the fifth bounce.

h(5) = 5.2 * (0.83)^4

h(5) = 5.2 * 0.30769

h(5) = 1.60256

The height is 1.60256 feet.

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The amount of nitre and charcoalin is 7.5kg

You should know that it talks about the amount or quantity when combined together. And this is the sum of the two materials

The parameters that will guide to get the amount involved are

65% of Nitre

15% of surlphur

charcoalin is equal to 8 kg

This implies that

(65/100 * 8)  + (15/100 * )

= 5.2 + 1.5

The sum of the two is = 7.4 kg

In conclusion the amount of nitre sulfur and charcoalin 8 kg of gun powder is 7.4kg

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Answer:

Statement 1:

The data has a range of 21, which is a wide spread. This means that one student had 21 fewer flights than the students with the most number recorded.

Step-by-step explanation:

First let's understand what the range of a distribution is and then it makes it easier to answer the question

The range of a data set  is the difference between the lowest and highest values.

The lowest value here is 3 and the highest value is 24 both values representing the minimum and maximum number of flights.

The range of this data set is Max Value - Min Value = 24-3 =21

We can straightaway eliminate the second and fourth statements since they provide an incorrect range of 24.

(By the way this is a common mistake students make - they assume the range is max value - 0)

This range of 21 is a rather large spread relative to the actual data points since most of the data is  between 13 and 24

So the best description for this data set is the first statement
The data has a range of 21, which is a wide spread. This means that one student had 21 fewer flights than the students with the most number recorded.

This is substantiated by the second part of the statement that one student had 21 fewer flights than the students with the maximum number of flights. We can see that there is only 1 dot above 3 which means only 1 student had 3 flights(the minimum) and since 24 is the max, this student had 24-3 = 21 21 flights less than the max number.

Hope that helps :)

If you haven't check out this site mathisfun.com  which does a great job of explaining statistical stuff and other cool math stuff. Great understanding tool for kids

The data's 21-point range is a sizable one. This indicates that compared to the students who had the most flights recorded, one student had 21 fewer flights.

Understanding the range of distribution first will make it easier to respond to the question.

The difference between the lowest and greatest values in a data set is known as the range.

Here, the minimum and maximum numbers of flights are represented by the values 3 and 24, respectively.

The range of this data set is Max Value - Min Value = 24-3 =21

The second and fourth statements are immediately disregarded since they give an inaccurate range of 24.

By the way, many students make the error of assuming that the range's maximum value is zero.

This range of 21 is a rather large spread relative to the actual data points since most of the data is between 13 and 24.

So the best description for this data set is the first statement.

The range of the data is 21, which is rather broad. This indicates that compared to the students who had the most flights recorded, one student had 21 fewer flights.

The second half of the claim—that one student had 21 fewer flights than the pupils with the most flights—supports this. We can see that there is only one dot above 3.

This suggests that only one student had three flights—the minimum—and since 24 is the maximum, this student had 24-3 flights, which is 21 fewer than the maximum amount.

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Answer:

Below

Step-by-step explanation:

You didn't show any choices.....here are some similar:

Answer:

Step-by-step explanation:

Expression is equivalent to  ([tex]5^{-2}[/tex])([tex]5^{-1}[/tex]). Thus, option C is the right choice.

[tex](5^{-2})[/tex]=1/25

[tex](5^{-1})[/tex]=1/5

so (1/25)(1/5)=1/125

The debt-to-assets ratio based on the information will be 0.634

The debt-to-total-assets ratio illustrates how much of a company's assets are owned by shareholders versus creditors (people from whom it has borrowed money). Along with the debt servicing ratio and the debt-to-equity ratio, it is one of three calculations used to assess debt capacity.

The debt-to-assets ratio formula is: Debt-to-assets ratio = total liabilities/total assets. If your total liabilities are $3,228 and your total assets are $5,091, the debt-to-assets ratio will be:

= 3228 / 5091

= 0.634

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Answer: 48 divided by 8 equals

Step-by-step explanation:

For this question, we have to divide the number of tiles by the number of rectangles where the tiles are kept. There are 48 tiles and 8 rectangles, so, the equation for this is 48/8=6. Therefore, each rectangle can have 6 tiles equally with no tiles remaining.

Answer:

52%

Step-by-step explanation:

13/25 x 100 = 52%

Answer:

52%

Step-by-step explanation:

13/25 = .52

To change a decimal to a percent, multiply the decimal by 100%

.52 x 1005 = 52%

This makes sense because half of 25 is 12.5 which would be 50% and 13 is just a little more than 12.5

Answer:

1.33

Step-by-step explanation:

1 1/3 as a decimal is 1.33.

Answer:

1.33333 (but the 3 go on forever)

A conversion factor is a mathematical formula that allows for the equal exchange of feet for chains. A conversion factor is a number that is used to multiply or divide one set of units by another set of units.

         To obtain an identical value, a conversion must be performed using the correct conversion factor. When you order, issue, or transfer goods and services, you use a unit of measurement to do so.

         A conversion factor is a numerical number or ratio that connects one unit of measurement to another. A conversion factor is a rate of one. The unit analysis method is used to determine which conversion factor will produce the correct units.

        You can use a conversion factor to change the units of a measured quantity without changing the value. A conversion factor is an expression that represents the relationship between the units. Hence, these both are different to each other.

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The volume comparison of the given data is written below:

In three dimensions, everything takes up some space. What is being measured here is the area's volume. The volume of an object is the area occupied inside its three-dimensional boundaries. It is referred to as the object's capability on occasion.

Given, The height of the cone and cylinder is twice the radius, while the radius of a sphere is the same.

The volume of the cone =   πr²h

Since, h = 2r

The volume of the cone =   πr² * 2r = 2/3 πr³

The volume of the Cylinder = πr²h

Since, h = 2r

The volume of the Cylinder = πr² * 2r = 2πr³

The volume of the sphere = 4 πr³

Thus, the volume of 3 cones = 2πr³

that is also equal to The volume of one Cylinder.

Thus, the volume of 2 cones = 4/3πr³

that is also equal to The 1/3 volume of the Cylinder.

Thus, the volume of 1 sphere = 4πr³

that is also equal to The volume of 2 cylinders.

Thus, the volume of 1 cone = 2/3πr³

that is also equal to The 1/6 volume of the cone.

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Answer:

12, -6.4, 0.75

Step-by-step explanation:

I don't know if the question is to add them together or something but here's how I solved them.

Step 1: Use order of operations to solve 3 / 5 - 7

3 / 5 - 7

0.6 - 7

7 - 0.6 = 6.4

-6.4

Step 2: Divide 3/4

3 / 4 = 0.75 (A good way to think of it in fourths is to think of if I have three quarters, how much money do I have?)

Statistics can be used to evaluate data sets, tables, charts, and graphs by using methods such as correlation, regression, and analysis of variance, as well as descriptive statistics such as the mean, median, and standard deviation. Statistical tests such as the chi-square test can also be used to test hypotheses and draw conclusions about the data.

Statistics can be used to evaluate the information in data sets, tables, charts, and graphs. Statistical methods such as correlation, regression, and analysis of variance can be used to determine relationships between different variables. Additionally, descriptive statistics such as the mean, median, and standard deviation can be used to summarize the data and gain insights into the data set. Finally, statistical tests such as the chi-square test can be used to test hypotheses and draw conclusions about the data.

Statistics can be used to evaluate data sets, tables, charts, and graphs by using methods such as correlation, regression, and analysis of variance, as well as descriptive statistics such as the mean, median, and standard deviation. Statistical tests such as the chi-square test can also be used to test hypotheses and draw conclusions about the data.

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Evaluating information in data sets, tables, charts, and graphs using statistics involves several steps:

Examine the data to ensure that it is accurate, complete, and in the appropriate format.

Determine the type of data (e.g., numerical or categorical) and select appropriate statistical techniques for analysis.

Identify any outliers or unusual observations in the data and decide how to handle them.

Use descriptive statistics, such as measures of central tendency (mean, median, mode) and measures of variability (range, standard deviation) to summarize the data.

Use inferential statistics, such as hypothesis testing or regression analysis, to make inferences about the population from the sample data.

Create appropriate charts, graphs, and tables to visually display the data and the results of the statistical analysis.

Interpret the results of the statistical analysis and present them in a clear and meaningful way.

Check assumptions of the statistical method you used.

Describe any limitation of your analysis and how that limitation might affect the conclusion

It's important to note that this is a general process and that depending on the specific data set, the question you are trying to answer, the type of data and the statistical methods used, the process can vary.

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The inequality that represents the number of songs, Sarah can buy is 0.75n ≤ 20.

Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal. Inequalities implies that the expressions are not equal. Here, they are denoted by the symbols ≥ < > ≤.

Let the number of songs be n.

Since Sarah’s favorite online music store has all songs on sale for $0.75 each and sbe has to $20 spend on songs.

The inequality that represents the number of songs, Sarah can buy is:

(0.75 × n) ≤ 20

0.75n ≤ 20.

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