The inequality that represents the number of visitors, n, allowed in a tour group when there must be fewer than 12 visitors can be expressed as "n < 12."
This inequality signifies that the value of n, representing the number of visitors, should be less than 12 to meet the requirement of having fewer than 12 visitors in each tour group.
In mathematical notation, the symbol "<" is used to indicate "less than." When applied to the number of visitors, n, it establishes a condition that the value of n should be smaller or lower than 12. This means that any value of n that is less than 12 would satisfy the inequality.
For example, if we have n = 10, the inequality "n < 12" holds true since 10 is indeed less than 12. Similarly, if we have n = 8, the inequality is also satisfied as 8 is still less than 12. However, if n exceeds or equals 12, such as n = 12 or n = 15, the inequality "n < 12" would not be fulfilled.
This inequality serves as a criterion for setting the maximum number of visitors allowed in each tour group. By imposing the condition that the number of visitors should be less than 12, it ensures that the tour groups remain manageable and maintain a smaller size. It may be implemented to maintain a certain level of quality, facilitate effective communication, or ensure a comfortable experience for all participants during the tour.
In summary, the inequality "n < 12" represents the number of visitors, n, allowed in a tour group when the requirement is to have fewer than 12 visitors. This inequality sets a limit on the maximum number of visitors for each tour group, emphasizing the need to maintain smaller group sizes to meet specific objectives and ensure a positive experience for everyone involved.
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Nine more than the quotient of a number 4 and 6 is
-0.45x + 0.33 = -0.66
The answer to the equation is \(x=2.2\)
First, you must subtract 0.33 on both sides.
\(-0.45x=-0.99\)
Then, you must divide -0.45 on both sides.
\(x=2.2\)
Your answer is \(x=2.2\)
When the selection of the place and, consequently, prospective respondents is subjective, rather than objective, it is called ________ sampling
Purposive sampling is a sampling technique in which the sample is selected based on the researcher's knowledge and judgment of the population. It is a non-probability sampling method that is commonly used in qualitative research, where the researcher wants to investigate specific characteristics or features of a particular population.
When the selection of the place and, consequently, prospective respondents is subjective, rather than objective, it is called purposive sampling.Purposive sampling is a non-probability sampling technique that is used by researchers when they want to investigate specific characteristics or features of a particular population. In this type of sampling, the selection of the sample is based on the researcher's judgment, knowledge, and experience rather than on random selection.
The researcher chooses individuals, groups, or places that are considered to be representative of the population and that are most likely to provide the desired information. This method is often used in qualitative research, where the researcher is interested in gaining in-depth insights into a particular phenomenon, event, or group.
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What is a place value chart in maths?
In mathematics, the place value chart is a tool that helps students understand the value of digits in a number. It is a visual representation of how digits are grouped and arranged to represent numbers. The place value chart is arranged in columns, with each column representing a different place value.
The place value chart starts with the ones place, also called units place. This is the rightmost column and it represents the ones digit in a number. The next column is the tens place, which represents the tens digit in a number. The hundredth place represents the hundreds digit and so on. Each column is ten times larger than the previous one.
A place value chart can be used to understand the value of a digit in a number.
Place value chart also helps to understand decimal numbers, which are numbers that have a decimal point. The decimal point separates the whole numbers from the fractional numbers. Each place to the right of the decimal point represents a smaller value.
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if a rabbit can move 2/3 of a mile every hour then how many hours woild it take for a rabbit to go 10 miles
Answer: 6 hours and 40 minutes
Step-by-step explanation:
60 x 2/3 = 40
40 x 10 = 400
400/60 = 6.66666667
6.666667 = 2/3
60 x 2/3 = 40
6 hours and 40 minutes
Write the equation for the linear relationship in slope-intercept form.
Javi regularly checks his balance on his bus pass. Friday afternoon, his balance was $26.25. Monday morning, his balance was $1.50.
Basically, what would be the 2 ordered pairs to describe that relationship?
Answer:
The two points can be:
(0, $26.25) and (3, $1.50)
Where this function is the balance as a function on the number of days.
And the equation is:
y = -$8.25*x + $26.25
Step-by-step explanation:
Let's define Friday as our day 0, we know that on Friday his balance was $26.25
Then we have the ordered pair (0, $26.25)
Monday is 3 days after Friday, then this will be day number 3, and on Monday his balance was $1.50, then we have the ordered pair (3, $1.50)
Now that we have two ordered pairs, we can talk about linear relationships.
A line is written as:
y = a*x + b
where a is the slope and b is the y-intercept.
IIf we have a line that passes through the points (x1, y1) and (x2, y2) then the slope of the line is:
a = (y2 - y1)/(x2 - x1)
Then whit the points (0, $26.25) and (3, $1.50) we can find the slope of our line:
a = ($1.50 - $26.25)/(3 - 0) = -$8.25
Then our line is:
y = -$8.25*x + b
To find the value of b we can just replace the point (0, $26.25), this means that we need to replace x by 0, and y by $26.25
$26.25 = -$8.25*0 + b
$26.25 = b
Then the linear equation will be:
y = -$8.25*x + $26.25
add 6 to 4, then divide 3 by the result expression
Answer:
the answer is 3.5
Step-by-step explanation:
6 plus 4 is 10 and 3.5 x 3 is 10
A big flower vase has 5 begonias, 6 carnations, and 7 tulips. Two flowers are randomly selected without replacement. What is
the probability of selecting two carnations? Express the answer in the simplest form of fraction (1 point)
Please please please ,help!!!!
Answer:
Solution is in the attached photo.
Step-by-step explanation:
Do take note this question tests on the concept of probability. Since there is no replacement, the total number of flowers will be deducted by 1, same for Carnations.
Find the general solution of the following differential equation. Primes denote derivatives with respect to x.
4xyy′=4y^2+ sqrt 7x sqrtx^2+y^2
The general solution of the differential equation is given as y² = k²t²(t² - 1) or y²/x² = k²/(1 + k²).
We are to find the general solution of the following differential equation,
4xyy′=4y² + √7x√(x²+y²).
We have the differential equation as,
4xyy′ = 4y² + √7x√(x²+y²)
Now, we will write it in the form of
Y′ + P(x)Y = Q(x)
, for which,we can write
4y(dy/dx) = 4y² + √7x√(x²+y²)
Rearranging the equation, we get:
dy/dx = y/(x - (√7/4)(√x² + y²)/y)
dy/dx = y/(x - (√7/4)x(1 + y²/x²)¹/²)
Now, we will let
(1 + y²/x²)¹/² = t
So,
y²/x² = t² - 1
dy/dx = y/(x - (√7/4)xt)
dx/x = dt/t + dy/y
Now, we integrate both sides taking constants of integration as
log kdx/x = log k + log t + log y
=> x = kty
Now,
t = (1 + y²/x²)¹/²
=> (1 + y²/k²t²)¹/² = t
=> y² = k²t²(t² - 1)
Now, substituting the value of t = (1 + y²/x²)¹/² in the above equation, we get
y² = k²(1 + y²/x²)(1 + y²/x² - 1)y²
= k²y²/x²(1 + y²/x²)y²/x²
= k²/(1 + k²)
Thus, y² = k²t²(t² - 1) and y²/x² = k²/(1 + k²) are the solutions of the differential equation.
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what is pythagorus theorum?
Answer:
when the square on the hypotenuse of a right-angled triangle is equal in to the sum of the squares on the other two sides
Step-by-step explanation:
let's say......
h = ?
o = 4
a = 4
a^2+o^2=32
square root 32
5.65685424949
that is the value for h
Answer:
A^2+B^2=C^2
you use it the find any length of a right angled triangle
After a significant f-test has been obtained for repeated measures anova the null hypothesis is________.
After obtaining a significant F-test for repeated measures ANOVA, the null hypothesis is rejected.
In statistics, the F-test is used to compare the variances between groups or conditions in an analysis of variance (ANOVA). In the case of repeated measures ANOVA, the F-test is employed to assess the differences between means across multiple measurements or conditions within the same subjects. When the obtained F-value is significant, it indicates that there is a substantial difference among the means of the groups or conditions being compared. As a result, the null hypothesis, which assumes that there are no significant differences, is rejected.
By rejecting the null hypothesis, it is concluded that there is sufficient evidence to support the alternative hypothesis, which suggests that there are meaningful distinctions between the means. This implies that the factor or treatment being investigated has a statistically significant impact on the observed measurements or conditions. Researchers can then proceed with further analysis, such as post hoc tests or exploring the specific nature of the differences, to gain a deeper understanding of the effects and relationships within the data.
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Find the area bounded by the graphs of the indicated equations over the given interval, [Hint: Area is always a positive quantity.] \[ y=4 x^{2}-4 ; y=0 ;-1 \leq x \leq 2 \] The area is (Round to thre
The area bounded by the graphs of the equations y = 4x^2 - 4, y = 0, and -1 ≤ x ≤ 2 is 7.333 square units.
To find the area bounded by the given graphs, we need to determine the region enclosed between the curves y = 4x^2 - 4 and y = 0 over the interval -1 ≤ x ≤ 2.
First, let's graph the two equations to visualize the region:
The equation y = 4x^2 - 4 represents a parabola that opens upward and has its vertex at (0, -4). The equation y = 0 represents the x-axis.
The interval -1 ≤ x ≤ 2 covers the range of x-values within which we want to find the area.
To find the area bounded by the curves, we integrate the difference of the two equations with respect to x over the given interval:
Area = ∫[-1 to 2] (4x^2 - 4) dx.
To compute this integral, we need to find the antiderivative of (4x^2 - 4) with respect to x. The antiderivative of 4x^2 is (4/3)x^3, and the antiderivative of -4 is -4x. Therefore, the integral becomes:
Area = [(4/3)x^3 - 4x] evaluated from -1 to 2.
Evaluating the expression at the upper limit (2) and subtracting the evaluation at the lower limit (-1), we get:
Area = [(4/3)(2)^3 - 4(2)] - [(4/3)(-1)^3 - 4(-1)].
Simplifying the expression, we find:
Area = [32/3 - 8] - [-4/3 + 4].
Area = (32/3 - 8) + (4/3 - 4).
Area = 32/3 - 8 + 4/3 - 4.
Area = 22/3.
Rounding the area to three decimal places, we get:
Area ≈ 7.333 square units.
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what is the answer to this?
In order to select new board members, the French club held an election. 20% of the 40 members of the club voted. How many members voted?
The number of members is an illustration of proportions, and there are 200 members in the club
How to determine the members that vote?The given parameters are:
French = 20%
French = 40
Let the number of members be x.
So, we have:
20% * x= 40
Divide both sides by 20%
x = 200
Hence, there are 200 members in the club
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The table shows the estimated number of lines of code written by computer programmers per hour when x people are working.
Which model best represents the data?
y = 47(1.191)x
y = 34(1.204)x
y = 26.9x – 1.3
y = 27x – 4
Answer:
Y=26.9x-1.3is the answer
Step-by-step explanation:
The best model represents y = 26.9x – 1.3
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
As, the data given about productivity is well defined by y = 26.9x – 1.3
As, we have 4 functions so by putting the values we get
x A B C D
2 66.66 49.3 52.5 50
4 94.57 71.44 106.3 104
6 134.14 103.57 160.1 158
8 190.27 150.14 213.9 212
10 269.91 217.64 267.7 266
12 382.85 315.5 321.5 320.
So, the most accurate is (C)y = 26.9x – 1.3.
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This venn diagram represents the science subjects studied by students what is the probability that a student,chosen at random,studies physics and chemistry or both ?
Answer:
Step-by-step explanation:
Looking at the Venn diagram :
The total number of students surveyed is 7+5+8+6+2+4+3+6 = 41
The number of students that studies physics is = 14
The number of students that studies chemistry is = 21
Probability = number of favorable outcomes / total number of outcomes
Therefore the probability that a student chosen at random studies physics and chemistry or both is 35/41 = 0.85
Find the x-intercept of the equation
4x+9y=27
Answer:
(6.75, 0)
Step-by-step explanation:
The x-intercept has a y-value of 0. Hence, the x-intercept is (x,0).
Substituting (x,0) into the equation:
4x + 9(0) = 27
4x = 27
x = 27/4
x = 6.75
Hence, the x-intercept is (6.75,0)
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You need a simple interest bridge loan to cover the costs of buying a new home while waiting to close on your old one. You need to finance $78,000 and bank will charge 9%. How much interest will you pay if you needed the loan for 2 months?Interest =$____(nearest $1)
Answer:
Explanation:
Parameters:
Principal, P = $78,000
Interest rate, R = 9%
Time, T = 2 months OR 2/12 = 1/6 years
Interest = ?
The formula for simple interest is:
I = PRT/100
\(\begin{gathered} I=\frac{78000\times9\times\frac{1}{6}}{100} \\ \\ =\frac{78000\times9}{100\times6} \\ \\ =\frac{702000}{600}=1170 \end{gathered}\)A triangle is formed by the building's height and shadow. Another triangle is formed by the flagpole's height and shadow. Using the following diagram, find the height of the building. Show work.
Answer:
475 ft
Step-by-step explanation:
\(\frac{x}{25}\) = \(\frac{38}{2}\)
cross multiply
2x = 950
x = 475
The height of the building is 475 ft.
What are similar triangles?In similar triangles, corresponding sides are always in the same ratio.
Given that, a triangle is formed by the building's height and shadow. Another triangle is formed by the flagpole's height and shadow.
The triangles are forming similar triangles,
Let the height of the building be x
Therefore, x/25 = 38/2
x = 475
Hence, The height of the building is 475 ft.
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some one help first answer gets brainliest
Answer:
Y=3 is a horizontal line. So, a line perpendicular to y=3 must be vertical. The only vertical line among the choices is x=-3, so C must be the answer.
Step-by-step explanation:
17. how many cards must be drawn from a standard 52-card deck to guarantee 2 cards of the same suit?
If you want to guarantee that two cards are from the same suit, you need only draw five cards (since there is no way you can draw five cards without at least two of them being the same suit)
What is probability ?Probability turned into added into arithmetic to are expecting the possibility of an occasion occurring. Probability essentially approach how in all likelihood it's miles that some thing will happen. This is the fundamental principle of possibility and is likewise utilized in possibility distributions to examine feasible consequences of random experiments.
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I really need help please
Fill in this outcome (sample space) for this table showing the roll of a 6 sided dice and then the toss of a coin Coin Toss heads Tails Dice Roll What is P(4, T) What is P(odd, H)
Answer:
Benidorm quiz
1. Where is Benidorm holiday resort located?
JORDAN
2. What is the average temperature of Benidorm in summer?
26 C
3. Before 1950s Benidorm was a small ___FISHING______ village.
4. Why did the town council encourage tourism in Benidorm?
TO VISIT BENIDORM
5. How many hotels were found in Benidorm in 1959?
6. Explain package holidays as they were used in Benidorm
7. Give three reasons why Benidorm is an excellent tourist resort
(a)
(b)
©
8. State four tourist attractions at Benidorm
Step-by-step explanation:
Benidorm quiz
1. Where is Benidorm holiday resort located?
JORDAN
2. What is the average temperature of Benidorm in summer?
26 C
3. Before 1950s Benidorm was a small ___FISHING______ village.
4. Why did the town council encourage tourism in Benidorm?
TO VISIT BENIDORM
5. How many hotels were found in Benidorm in 1959?
6. Explain package holidays as they were used in Benidorm
7. Give three reasons why Benidorm is an excellent tourist resort
(a)
(b)
©
8. State four tourist attractions at Benidorm
"many assume lips are only made up of curved lines, which is the first common mistake people make when trying to draw a realistic mouth. in fact, some critical angles show the expression of the mouth. the key to capturing the expression of the lips is to look at the centerline between them. six angles usually make up the centerline, which follows the shapes of the top lip. the way the angles slant up or down will show if the expression is smiling, neutral, or frowning. "
To draw realistic lips, it is essential to pay attention to these angles and how they contribute to the overall expression. By focusing on the centerline and its angles, one can achieve greater accuracy and authenticity when drawing the lips, resulting in a more lifelike representation of the mouth's expression
Drawing realistic lips involves more than just curved lines. The first step is to recognize the importance of the centerline between the lips. This centerline follows the shapes of the top lip and consists of six critical angles.
By observing how these angles slant up or down, one can effectively depict the expression of the lips. For example, an upward slant of the angles can indicate a smiling expression, while a downward slant may suggest a frowning expression. Understanding the interplay of these angles helps in capturing the nuances of different expressions.
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Consider the composite function fle(x)) =
If g(x) = x2 – 3, what is f(x)?
o fx)=
Of(x= x+6
O f(=
1
Of(x)=\x76
+
Therefore, the composite function f ∘ g(x) can be expressed as:
f ∘ g(x) = { x^2 + 3 if x^2 - 3 ≤ 6{ 10 if 6 < x^2 - 3 ≤ 10{ x^2 - 9 if x^2 - 3 > 10
If the composite function f ∘ g(x) is given by f ∘ g(x) = If g(x) = x^2 - 3, then what is the function f(x) in terms of x?The composite function f ∘ g(x) can be computed by first calculating g(x) and then using the result as the input for f(x).
In this case, g(x) is given as x^2 - 3.
To find f(x), we need to apply the function f to the input x. According to the problem, there are three different expressions for f(x), depending on the value of x:
If x ≤ 6, then f(x) = x + 6
If 6 < x ≤ 10, then f(x) = 10
If x > 10, then f(x) = x - 6
So, we need to determine which of these expressions to use based on the value of g(x).
If we substitute g(x) = x^2 - 3 into each of the expressions for f(x), we get:
If g(x) ≤ 6, then f(g(x)) = g(x) + 6 = x^2 + 3
If 6 < g(x) ≤ 10, then f(g(x)) = 10
If g(x) > 10, then f(g(x)) = g(x) - 6 = x^2 - 9
Therefore, the composite function f ∘ g(x) can be expressed as:
f ∘ g(x) = { x^2 + 3 if x^2 - 3 ≤ 6
{ 10 if 6 < x^2 - 3 ≤ 10
{ x^2 - 9 if x^2 - 3 > 10
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This is so you can mark him as the brainiest
I gotchu :)
Answer:
thx for the points and happy thanksgiving
Step-by-step explanation:
have a great night/morning
i love food,do u?
Brian runs 7 miles in 50 minutes. At the same rate, how many miles would he run in 75 minutes?
Answer:
7/50 = x/75
x = 10.5
therefore he would run 10.5 miles in 75 minutes
Answer:
In 75 minutes, she runs (7/50) x 75 = 10.5.
She runs 10.5 miles in 75 minutes.
Step-by-step explanation:
In physics, a deceleration (the slowing down of an object in motion) is considered a negative acceleration (in other words, the opposite of speeding up). If you crash a small toy car into a wall, and the acceleration of the car is -3 m/s2, what would be the total acceleration you would have applied to the car, if you repeated the crash eleven times?
Using proportions, the total acceleration you would have applied to the car would be of -33 m/s².
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
For one crash, the acceleration is of -3 m/s². Hence, for 11 crashes, the total acceleration would be of:
a = -3 x 11 = -33 m/s².
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Find f(-3) for f(x)=4•(2)^x
A. 1/2
B. -32
C. -24
D. 1/8
what is the meaning of interval [a,b]
Answer:
Step-by-step explanation:
interval in mathematics stands for a set of real numbers,
denoted by [a,b] where a and b are the starting and ending real numbers both inclusive respectively.
thus, interval [a,b] is the set of real numbers starting from a to b both are real numbers and are included.
A twelve pack of Orange Crush is priced at $3.00. What is the unit rate or the price per soda?
Divide price by quantity:
3.00 / 12 = $0.25 per can.