The point (1, 5) is a solution of the first equation, and is not a solution of the second one (and thus the system)
Is the point a solution?Here we want to see if the point (1, 5) is a solution of some given equations.
The first equation is:
d + s = 6
let's assume that the notation for the point is (d, s), then we can replace these values in the equation above to get:
1 + 5 = 6
6 = 6
So yes, the point is a solution here.
For the next equation we have:
10d + 28s = 78
Replacing the values:
10*1 + 5*28 = 78
150 = 78
So no, here is not a solution.
And the point is a solution of the system only if it is a solution of both of the equations, then the point is not a solution of the system,
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Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms. 2 similar triangles. Triangle 1 has side lengths 14, 21, blank. Triangle 2 has side lengths 18, 27, blank. a. StartFraction 14 Over 27 EndFraction = StartFraction 21 Over 28 EndFraction = StartFraction 14 Over 27 EndFraction b. StartFraction 14 Over 18 EndFraction = StartFraction 21 Over 27 EndFraction = StartFraction 7 Over 9 EndFraction c. StartFraction 14 Over 21 EndFraction = StartFraction 18 Over 27 EndFraction = StartFraction 2 Over 3 EndFraction d. StartFraction 27 Over 14 EndFraction = StartFraction 28 Over 21 EndFraction = StartFraction 27 Over 14 EndFraction Please select the best answer from the choices provided A B C D
Answer:
Step-by-step e123232321xplanation:
32dscscfgqasedrfdf
Shop A sells a dress for $79.50 with a 20% discount while Shop B sells the same dress for $69.50 with a 10% discount. Write down a calculation you could do mentally to help you decide which shop to buy the dress from.
Shop A sells a dress for $79.50 with a 20% discount while Shop B sells the same dress for $69.50 with a 10% discount is $ 318 and $ 625.5.
The proportion of value in relation to the original value is measured using the percentage discount concept. In business, percentages are frequently employed to calculate a company's profit or loss percentage.
Let x be the actual cost of the dress in the store. A
20/100 ×x = 79.50 x = 79.50 ×100/20 xx = 7950/20
x = $ 397.5
The actual cost of clothing A is $397.5.
Discount of outfit A therefore equals 20%
$397.5-79.5$= $ 318
Let x represent the true cost of dress B.
(10/100)× x = 69.50$
x = $695
The actual cost of dress B is $695.
So, the dress B's discount is 10%.
$ 695 - 69.50 = $ 625.5
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Four different linear functions are represented below.Part A: Which function has the graph with a y-intercept closest to 0? Part B: which function has the graph with the greatest y-intercept?Part C: which functions have graphs with slopes less than 4? Check all that apply
We have here four linear functions, and we have to compare the slopes of them as well as their y-intercept. For this, it is important to remember the general equation for the line in the slope-intercept form:
\(y=mx+b\)Where
• m is the slope of the line
,• b is the y-intercept of the line (0, b)
The y-intercept is the point where the line passes through the y-axis, and at this point, we have that x = 0.
Finding the slopes and the y-intercept for the four functionsFunction 1We have in this case that the function passes through the points:
• (0, 5), (1, 1)
We can find the equation of this line using the two-point form of the line equation:
\(y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\)Using the points above, we can label them as follows:
• (0, 5) ---> x1 = 0, y1 = 5
,• (1, 1) ---> x2 = 1, y2 = 1
Then we have:
\(\begin{gathered} y-5_{}=\frac{1_{}-5}{1-0_{}}(x-0_{}) \\ y-5=-\frac{4}{1}x \\ y-5=-4x \\ y=-4x+5 \end{gathered}\)Therefore, the slope for this line is m = -4, and the y-intercept is (0, 5).
Function 2For Function 2 we need to do the same procedure as before. We have to select two points of the function to find its equation:
We can select the following points: (0, 1), (1, 6).
Then we can proceed as we did in the previous part:
• (0, 1) ---> x1 = 0, y1 = 1
,• (1, 6) ---> x2 = 1, y2 = 6
\(\begin{gathered} y-1_{}=\frac{6_{}-1_{}}{1-0_{}}(x-0) \\ y-1=5x \\ y=5x+1 \end{gathered}\)Therefore, the slope in Function 2 is 5, m = 5, and the y-intercept is (0, 1).
Function 3We can see that Function 3 has already its line equation in slope-intercept form:
\(y=-x-2\)Then the slope for Function 3 is m = -1, and its y-intercept is (0, -2).
FunctionFrom the question, we have:
How many times wider are the handlebars of the bike than the width of the tire
The handlebars of a bike are typically several times wider than the width of the tire, with exact ratios varying depending on the specific bike model and design.
The width comparison between the handlebars of a bike and the width of the tire can vary significantly depending on the specific bike model and design. However, I can provide a general understanding of the relationship between handlebar width and tire width.
Handlebars on bikes are typically measured from end to end, considering the width of the handlebars at their widest point. Tire width, on the other hand, refers to the width of the tire itself.
Handlebar widths can vary widely, depending on the style of the bike and the intended use. Common handlebar widths for adult bikes can range from around 40cm (16 inches) to 50cm (20 inches) or more. However, wider handlebars can be found on certain types of bikes, such as mountain bikes or downhill bikes.
Tire widths also vary based on the type of bike and riding conditions. Road bike tires tend to be narrower, typically ranging from 23mm to 28mm or slightly wider for some models. Mountain bike tires, on the other hand, are generally wider, with widths ranging from 1.9 inches (around 48mm) to over 2.5 inches (around 64mm) or more for extreme off-road conditions.
Given these ranges, it is challenging to provide an exact numerical comparison between the width of the handlebars and the width of the tire. However, it is safe to say that the handlebars of a bike are typically several times wider than the width of the tire.
It's important to note that handlebar width and tire width are independent variables that serve different purposes. Handlebar width affects rider comfort, control, and handling, while tire width affects factors such as grip, stability, and rolling resistance. The specific combination of handlebar width and tire width is typically determined by factors such as the type of bike, riding style, and personal preferences of the rider.
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Question
How many times wider are the handlebars of the bike than the width of the tire?
classify the polynomial by Degree and number of Terms. 3x^2y^2 + 2xy^3 - x
Answer:
Degree of polynomial = 4
Number of terms = 3
Step-by-step explanation:
Degree of polynomial = 4
Number of terms = 3
A farmer wants to have a water pipe installed from the water source to his farmhous
Their expertise will help optimize the water supply to the farmhouse, promoting efficient irrigation and reliable water access for agricultural activities.
A farmer wanting to have a water pipe installed from the water source to his farmhouse must consider various factors to ensure an efficient and reliable water supply. Here are some important considerations for the installation process:
1. Water Source: The farmer needs to identify a reliable water source that can provide sufficient water for agricultural needs. This could be a well, a nearby river or stream, or a municipal water supply.
2. Distance and Terrain: The farmer should measure the distance between the water source and the farmhouse. The length of the pipe required will affect the cost and feasibility of the installation. Additionally, the terrain between the source and the farmhouse must be assessed. If there are any hills, valleys, or obstacles in the way, it may require additional planning and equipment to overcome them.
3. Pipe Material: Selecting the right type of pipe material is crucial. Common options include PVC (polyvinyl chloride), HDPE (high-density polyethylene), or metal pipes. Factors such as durability, cost, and compatibility with the water source need to be considered.
4. Pipe Size: The pipe size will depend on the desired water flow rate and the pressure needed at the farmhouse. Calculating the required flow rate involves considering the water demand for irrigation, livestock, and household use. Consulting with an expert or a professional plumber can help determine the appropriate pipe size.
5. Pump System: In cases where the water source is at a lower elevation than the farmhouse, a pump system may be required to lift the water to the desired height. The type and capacity of the pump should be selected based on the total head (vertical lift) and the flow rate required.
6. Safety and Regulations: Compliance with local regulations and safety standards is essential. The installation should follow any specific guidelines, such as burying the pipes at the appropriate depth to protect them from freezing or damage.
7. Maintenance and Access: Consideration should be given to the accessibility of the pipes for maintenance and repairs. Having easy access points along the pipeline will allow for efficient monitoring and addressing any potential issues.
8. Budget: The farmer should determine a budget for the installation, including the cost of materials, labor, and any additional equipment required. Obtaining quotes from multiple contractors or suppliers can help in making an informed decision.
It is advisable for the farmer to consult with professionals, such as plumbers, irrigation specialists, or agricultural engineers, to ensure a well-designed and properly installed water pipe system. Their expertise will help optimize the water supply to the farmhouse, promoting efficient irrigation and reliable water access for agricultural activities.
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NOTE- THIS IS NOT MATHEMATICS QUESTION. IT IS SOCIAL STUDIES QUESTION
Comment on the stability of a system with the closed-loop transfer function given by each of the following
From the given information provided, the first system is stable while the second system is marginally stable.
To determine the stability of a system with a transfer function, we need to look at the poles of the transfer function, which are the roots of the denominator polynomial.
For the first transfer function, T(s) = 5 (s+2)/(s+1)(s² + s + 1), the denominator polynomial is s² + s + 1, which has complex conjugate roots with negative real part. Therefore, the system is stable.
For the second transfer function, T(s) = 5(-s+2)/(s+1)(s²+s+1), the denominator polynomial is s² + s + 1, which again has complex conjugate roots with negative real part. However, there is also a pole at s = -1, which is a real pole with negative real part. This means that the system is marginally stable, meaning that it is stable but any small perturbations or disturbances can cause the system to become unstable.
Question - Comment on the stability of a system with the closed-loop transfer function given by each of the following. T(s) = 5 (s+2)/(s+1)(s¹ + s+ 1) T(s)= 5(-s+2)/(s+1)(s¹+s+1)
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PLEASE HELP
Alan sold t-shirts and hats at a festival. He made a $6 profit for each t-shirt he sold. He also made a profit of $54 from selling hats. If he made a total profit of $168, how many t-shirts did he sell?
(a) Write an equation that could be used to answer the question above. First, choose the appropriate form. Then, fill in the blanks with the numbers 6, 54, and 168. Let x represent the number of t-shirts.
(b) Solve the equation in part (a) to find the number of t-shirts.
Show all work to identify the asymptotes and state the end behavior of the function f(x)=4x/x-16
Answer:
asymptotes: x = 16 zeros: x = 0
The vertical asymptotes of the rational expression are the places where the denominator is zero:
x -16 = 0 . . . . . true for x=16
__
The zeros of a rational expression are the places where the numerator is zero:
4x = 0
x = 0 . . . . . . divide by 4
asymptotes: x = 16 zeros: x = 0
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a square + 7 a + 12 =A + 4
Step-by-step explanation:
\( {a}^{2} + 7a + 12 = a + 4 \\ {a}^{2} + 7a - a - 4 + 12 = 0 \\ {a}^{2} + 6a + 8 = 0 \\ {a}^{2} + 4a + 2a + 8 = 0 \\ a(a + 4) + 2(a + 4) = 0 \\ (a + 4)(a + 2) = 0 \\ a + 4 = 0 \: or \: a + 2 = 0 \\ a = - 4 \: or \: a = - 2\)
Answer:
a = -4 or a = -2
Step-by-step explanation:
a² + 7a + 12 = a + 4
=> a² + 7a - a + 12 - 4 = 0
=> a² + 6a + 8 = 0
=> a² + 2a + 4a + 8 = 0
=> a(a + 2) + 4(a + 2) = 0
=> (a + 4)(a + 2) = 0
=> a = -4 or a = -2
PLEASE HELP IM GIVING SOOOO MANY POINTS
Solve for x. Then find the side lengths of the triangle, entering them from least to greatest. Round to the nearest foot.
Answer:
Am I supposed to use Trigonometry here or any other formula please tell me.
Answer:
Below
Step-by-step explanation:
It is a right triangle ...so use Pythagorean theorem
40^2 = (3x)^2 + (6x)^2
1600 = 45 x^2
x = 5.962
the sides are then 3x = 17.8 and 6x = 35.8 ft
What happens as the triangle goes from obtuse to acute
Answer: the degree will go down 90 degrees
Step-by-step explanation: An obtuse triangle is one that has an angle greater than 90°. An acute triangle is defined as a triangle in which all of the angles are less than 90°.
through: (-1, 4) and (-4, 2)
Midpoint= (-2.5, 3)
\( distance \: = \sqrt{13} \)
Equation:
\(y = \frac{2x}{3} + \frac{14}{3} \)
Answer:
\(First \: you \: find \: the \: gradient \: of \: the \\ \: line \: using \: the \: formula\)
\( \frac{ {y}{2} - y1}{x2 - x1} \)
\( \frac{ 4 - 2}{ - 1 - - 4} = \frac{2}{3} = 0.66666666666\)
\(Next, use \: the \: equation \: of \: a \: line \: \\ which \: is\)
\((y - y1) = m(x - x1)where \: m \: is \: the \: gradient.\)
\((y - 4) = 0.66666666666(x - - 1)\)
\( = y - 4 = x + 0.66666666666\)
\(Therefore,\)
\(y = x + 4.66666667\)
Step-by-step explanation:
\(Sry \: if \: it \: is \: wrong...\)
\(\huge\red{T}\pink{H}\orange{A}{N}\blue{K}\gray{S}........\)
Jordan has 28 golf balls. 28 golf balls in 4 rows and 7 columns. Of the 28 golf balls, 17 are yellow. How many golf balls are yellow?
The distribution of the balls is an illustration of proportions, and 4 of the golf balls are yellow
How to determine the number of yellow golf balls?The distribution of the balls are given as:
Total = 28
Yellow = 1/7
The number of yellow balls is given as:
Yellow = 1/7 * Total
This gives
Yellow = 1/7 * 28
Evaluate the product
Yellow = 4
Hence, 4 of the golf balls are yellow
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Suppose you have the set C of all frequent closed itemsets on a data set D, as well as the support count for each frequent closed itemset. Describe an algorithm to determine whether a given itemset X is frequent or not, and the support of X if it is frequent. Please explain.
To determine whether a given itemset X is frequent or not, and to calculate its support if it is frequent, you can use the following algorithm:
Initialize a variable "support" to 0.
Iterate through each frequent closed itemset in the set C.
For each itemset in C, check if X is a subset of that itemset. If it is, increment the "support" variable by the support count of that itemset.
After iterating through all the itemsets in C, check the value of the "support" variable.
If the support is greater than or equal to the minimum support threshold (a predetermined value), then X is considered frequent. Output the support value of X.
If the support is below the minimum support threshold, then X is not frequent.
The algorithm uses the concept of frequent closed itemsets to determine the frequency of a given itemset. A frequent closed itemset is an itemset that has no supersets with the same support count. By iterating through each frequent closed itemset and checking if X is a subset of it, we can calculate the support of X.
The algorithm avoids generating all possible subsets of X and instead leverages the properties of frequent closed itemsets. This makes it more efficient as it only considers relevant itemsets that have already been identified as frequent.
By comparing the support of X with the minimum support threshold, we can determine whether X is frequent or not. If X is frequent, its support count is calculated and outputted as the result.
Note: The set C of all frequent closed itemsets and their support counts can be generated using an appropriate frequent itemset mining algorithm, such as the Apriori algorithm or FP-Growth algorithm, applied to the dataset D.
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Find expressions for the possible dimensions of the rectangular prism.
V = 12y3 + 13y2 + 3y
Answer:
Step-by-step explanation:
The dimensions of a rectangular prism are length, width, and depth.
Volume = length * width * depth
Here, V = 3y3 + 16y2 + 5y. If you can factor that into three terms, those could be the dimensions of the prism.
How do you factor it? Do all three terms have something in common? Sure, they all have a y, so factor a y out of each term.
V = y(3y2 + 16y + 5)
Then, factor what's left.
V = y(3y + 1)(y + 5)
The dimensions of the prism are y, (3y + 1), and (y + 5).
Answer:
The dimensions of a rectangular prism are length, width, and depth.
Volume = length * width * depth
Here, V = 3y3 + 16y2 + 5y. If you can factor that into three terms, those could be the dimensions of the prism.
How do you factor it? Do all three terms have something in common? Sure, they all have a y, so factor a y out of each term.
V = y(3y2 + 16y + 5)
Then, factor what's left.
V = y(3y + 1)(y + 5)
The dimensions of the prism are y, (3y + 1), and (y + 5).
Step-by-step explanation:
it's this write ... comments plz have a nice day
Suppose you have a bag with 25 letter tiles in it and 7 of the tiles are the letter Y. If you
7
pick a letter tile at random from the bag, the probability that it is the letter Y is Suppose another
baa has 200 letter tiles in it and 168 of the tiles are the letter Y. Write the probability of Dickina a tile
25
if the zero vector is a solution of the system , then the system is homogeneous. group of answer choices true false
True, If the zero vector is a solution of the system , then the system is homogeneous.
A system of linear equations is considered homogeneous if the zero vector (i.e., the vector with all components equal to 0) is a solution. This means that the system of equations only has the trivial solution of all variables equal to zero, but no non-trivial solutions.
A homogeneous system of linear equations is a system where all the equations have the same form and all the coefficients are proportional to each other. This means that if one equation is multiplied by a constant, the same constant must be multiplied by all the other equations in the system to maintain the homogeneous property.
The zero vector is a solution of a homogeneous system because if all the variables are equal to zero, all the coefficients in the equations are also equal to zero and the equations are satisfied. This is why the presence of the zero vector as a solution is a defining characteristic of homogeneous systems.
In contrast, a non-homogeneous system is a system where the zero vector is not a solution and there are both trivial (zero) and non-trivial (non-zero) solutions. Non-homogeneous systems are solved using different methods compared to homogeneous systems.
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(a² - 8a -5) x (7a² - 4a- 5)
Answer:
7a^4 - 60a^3 - 8a^2 + 60a + 25
Step-by-step explanation:
(a² - 8a -5) x (7a² - 4a- 5)
= 7a^4 - 4a^3 - 5a^2 - 56a^3 + 32a^2 + 40a - 35a^2 + 20a + 25
= 7a^4 - 60a^3 - 8a^2 + 60a + 25
So, the answer is
7a^4 - 60a^3 - 8a^2 + 60a + 25
The diagram shows a rectangle with its side.
a) Find an expression, in terms of x, for the perimeter of the rectangle.
b) The perimeter of the rectangle is 56 cm. Find the value of x. 1
Answer:
Ans of a = 18x
Ans of b = 3.111
180 people have been exposed to the flu. If the probability that a person contracting the flu on exposure is 0.37, find the variance of these 180 people contracting the flu.
The variance of the 180 people contracting the flu, when probability of a person contracting the flu on exposure will be 41.958.
We have,
Total number of people i.e. n = 180,
And,
Probability that a person contracting the flu on exposure i.e. P = 0.37,
Now,
Using the variance of the binomial distribution,
i.e.
σ² = n × P × (1 - P),
Here,
σ² = variance,
n = number of trials,
P = Probability of getting flu,
So,
Now putting values, we get,
σ² = 180 × 0.37 × (1 - 0.37),
i.e.
σ² = 180 × 0.37 × 0.63,
On solving we get,
σ² = 41.958
So,
The variance is 41.958.
Hence we can say that the variance of the 180 people contracting the flu, when probability of a person contracting the flu on exposure will be 41.958.
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Jaden sings in the school choir. The choir has 54 members. Two thirds of the members are girls. How many girls are in the choir?
Answer:
36 girls are in the choir
Step-by-step explanation:
answer:
36
sbs:
divide 56 by 3 and multiply it 2
Answers must be in scientific notation!!!!!!!
(5.1 x 10^-3) + (7.2 x 10^-2)
(8 x 10^6) + (7.3 x 10^4)
Answer: 1. 0.0771 and 2. 8073000
Step-by-step explanation:
Identify the graph of f(x)=3|x+2|.
The Graph of the Function f(x) = 3|x + 2| will the third graph
What are Function?
In mathematics, a definition from a set X to the a set Y assigns each component of X precisely one element of Y. The set X is known as the function's domain, as well as the set Y is known as the function's codomain. Al-Biruni as well as Sharaf al-Din al-Tusi, two Persian mathematicians, are responsible for the earliest known treatment of the idea of function. Initially, functions represented the idealised relationship between varying quantities and other variables. For instance, time affects a planet's position. In the past, the idea was developed with infinitesimal calculus just at end of the 17th century and until the late nineteenth century, this same functions that were taken into consideration were differentiable.
Solution:
The Graph of the Function f(x) = 3|x + 2| will the third graph as shown in the attached image too
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It takes Laura 3/5 lbs of clay to make one bowl. If Laura has 10lbs of clay, how many bowls can she make?
Number of bowls that Laura can make with 10lbs of clay is 16
To find out how many bowls Laura can make, we need to divide the amount of clay she has by the amount of clay needed to make one bowl.
Let's start by converting the fraction 3/5 into a decimal:
3/5 = 0.6
This means that Laura needs 0.6 lbs of clay to make one bowl.
Now we can divide the total amount of clay Laura has by the amount of clay needed for one bowl:
10 ÷ 0.6 = 16.67
Laura can make 16 complete bowls with 10 lbs of clay, and she will have some clay left over (0.07 lbs to be exact) that is not enough to make another full bowl.
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suppose sat writing scores are normally distributed with a mean of 489 and a standard deviation of 112 . a university plans to award scholarships to students whose scores are in the top 6% . what is the minimum score required for the scholarship? round your answer to the nearest whole number, if necessary.
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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20 points and brainly
Answer: The answer would be A or $1
Step-by-step explanation:
$9 x 3 = $27 adult Wilson tickets $9 x 2 = $18 adult Jackson tickets
$5 x 4 = $20 student Wilson tickets $5 x 6 = $30 student Jackson tickets
$20 + $27 = $47 Wilson tickets $18 + $30 = $48 Jackson tickets
$48 - $47 = $1
Answer:
a. $1
Step-by-step explanation:
To find the difference, calculate how much each family spent on tickets and then subtract the lower number from the higher number. I’ll start with the Wilson’s.
First, multiply the cost of the tickets by how many they bought.
$9*3 adult tickets=$27
$5*4 student tickets=$20
Then, add the values together to find the total cost.
$27+$20=$47
Now, let’s do the same for the Jackson’s.
$9*2 adult tickets=$18
$5*6 student tickets=$30
$18+$30=$48
Finally, subtract the Jackson’s total cost from the Wilson’s.
$48-$47=$1
The difference is $1.
What parametric statistical method(s) a researcher can use to determine if the mean total cholesterol level of the population is the same for four groups of subjects (Group 1 = Diet Restriction; Group 2 = Exercise; Group 3 = Both Diet and Exercise; Group 4 = None).
a. Statistical Test is _____.
b. Null Hypothesis is _____.
c. Alternative Hypothesis is _____.
The alternative Hypothesis is that at least one of the mean total cholesterol levels is different from the others in the four groups of subjects.
A researcher can use an analysis of variance (ANOVA) parametric statistical method to determine if the mean total cholesterol level of the population is the same for four groups of subjects (Group 1 = Diet Restriction; Group 2 = Exercise; Group 3 = Both Diet and Exercise; Group 4 = None).
a. Statistical Test is ANOVA.
b. Null Hypothesis is that the mean total cholesterol level of the population is the same for all four groups.
c. Alternative Hypothesis is that the mean total cholesterol level of the population is different for at least one group.
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For class 6 a)a square can be taught of as a special rectangle. b)a rectangle can be thought of as a special parallelogram. c)a square can be thought of as a special rhombus. d) squares , rectangles , parallelograms are all quadrilaterals. e) square is also a parallelogram. please answer fast
Correct statements are:
a) A square can be thought of as a special rectangle.
d) Squares, rectangles, and parallelograms are all quadrilaterals.
e) A square is also a parallelogram.
Incorrect statements are:
b) A rectangle cannot be thought of as a special parallelogram. A rectangle is a special type of quadrilateral, but it does not have the same properties as a parallelogram.
c) A square cannot be thought of as a special rhombus. While a square is a special type of rhombus, not all rhombuses are squares.
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Complete the ordered pair for the equation y=-3x - 5.
(__,4)
Answer:
\((-3,4)\)
Reasoning:
This problem is telling you that if y equal 4, what does x equal?
You can easily insert the y value to find the constant x.
\(4=-3x-5\)
\(9=-3x\)
\(\frac{9}{-3} =\frac{-3x}{-3}\)
\(-3=x\)