Answer: a < b
Step-by-step explanation:
For example, if we make a=-6 and b=-2
This is correct: -6 < -2
The absolute values are not. 6 is not less than 2 and 6 is not less than -2.
250$ is 5/52 of the total money.work out the total money
Answer:
l'argent total est de 2600 $.
Step-by-step explanation:
On sait que 250 $ représentent 5/52 de l'argent total.
On peut donc utiliser une règle de trois pour trouver l'argent total :
5/52 correspond à 250 $
1 correspond à x (l'argent total)
On peut écrire cette proportion sous forme d'équation :
5/52 = 250 $/x
Pour isoler x (l'argent total), on peut multiplier les deux membres de l'équation par x :
5/52 * x = 250 $
On peut ensuite multiplier les deux membres de l'équation par le dénominateur de la fraction 5/52, c'est-à-dire 52 :
5 * x = 52 * 250 $
Enfin, on divise les deux membres de l'équation par 5 pour isoler x :
x = 52 * 250 $ / 5
x = 2600 $
Ainsi, l'argent total est de 2600 $.
At a certain university, students who live in the dormitories eat at a common dining hall. Recently, some students have been complaining about the quality of the food served there. The dining hall manager decided to do a survey to estimate the proportion of students living in the dormitories who think that the quality of the food should be improved. One evening, the manager asked the first 100 students entering the dining hall to answer the following question. Many students believe that the food served in the diniog tall necds improvement. Do you think that the quality of food served here needs improvement, even though that would increase the cost of the meal plant? a. In this setting, explain how bias may have been introduced based on the way this convenience sample was selected and suggest how the sample could have been selected differently to avoid that bias. b. In this setting, explain how bias may have been introduced based on the way the question was worded and suggest how it could have been worded differently to avoid that bias.
Based on the provided information, a) bias is introduced through convenience sampling there could be specific variable associated with the first hundred students. It can be avoided by simple random sampling. b) bias is introduced through wording as it includes a negative consequence. It can be avoided by just asking for an opinion without any associated reasoning or consequences.
Bias refers to a deviation of feedback which is based on certain influences by the surveyor and respondent. Sampling bias or selection bias refers to a type of bias in which a researcher gathers a sample of respondents for a questionnaire that does not accurately represent the population. Survey bias refers to the way the question is phrased or formatted, leading people to choose a certain answer instead of another. In the given case,
a) A bias may have been introduced based on the way the convenience sample was selected as there could be specific variable associated with each of the first hundred students that walk into the dining room. The first hundred students could possibly like the food and that is the reason why they come early to the dining room. Selecting students at the dining room may also exclude the students who dislike the food and choose to eat elsewhere. A simple random sample can help avoid this bias. By randomly selecting students at the university campus would provide a more inclusive and true representation of the population.
b) A bias may have been introduced based on the way the question is worded is to maintain the current meal plan as it presents a negative consequence to introducing a new meal plan. It states that a new meal plan would result in more cost. In order to avoid bias, the survey should ask students opinion about the food without introducing any external reasoning.
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Please help! WILL GIVE BRAINLIEST
Answer:
71
Step-by-step explanation:
I found the area by spliting the figure into the triangle, square, and rectangle
triangle = .5(14*5)=35
square = 2*2=4
rectangle = 8*4=32
35+4+32=71
hope this is right:)
The sum of first 5 terms of an ap is 25. the sum of the next 5 terms is -75. find the 10th term.
the 10th term of the AP(Arithmetic Progression) is -233/46.
Given,
The sum of first 5 terms of an AP is 25 and the sum of the next 5 terms is -75, to find the 10th term.
Let us assume the first term of the AP is 'a' and the common difference be 'd'.
So, 2a + 4d + 6d + 8d + 10d
= 25 ⇒ 2a + 28d
= 25
Similarly, 12d + 14d + 16d + 18d + 20d
= -75 ⇒ 80d
= -75 - 12d ⇒ 92d
= -75 ⇒ d = -75/92
Now,
2a + 28d = 25 ⇒ 2a
= 25 - 28d ⇒ 2a
= 25 - 28(-75/92) ⇒ 2a
= 316/23 ⇒ a
= 158/23
Hence, the 10th term of the AP is a + 9d which is (158/23) + 9(-75/92) = -233/46
Therefore, the 10th term of the AP is -233/46.
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The _____ is used to test the significance of the population coefficient of determination.
A. chi-square distrubution
B. normal distribution
C. Student's t-distribution
D. F-distribution
The F-distribution is used to test the significance of the population coefficient of determination (option D).
The coefficient of determination, denoted as R², measures the proportion of the variance in the dependent variable that is explained by the independent variables in a regression model. It ranges from 0 to 1, where 0 indicates no relationship and 1 indicates a perfect relationship.
To determine the significance of R², the F-distribution is used. The F-test compares the variation explained by the regression model (numerator) to the unexplained or residual variation (denominator). It calculates the F-statistic, which is the ratio of the two variances.
The F-distribution provides critical values that allow us to determine whether the observed F-statistic is statistically significant or not. By comparing the calculated F-value with the critical value from the F-distribution, we can assess whether the coefficient of determination is significantly different from zero, indicating the presence of a meaningful relationship between the variables. The correct option is d.
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which exprission is equavilant to 2(7x-7)
What is the equation of the line that has a slope of 3 and goes through the point (-3,-5)?
A.
y = 3x + 4
B.
y = 3x − 14
C.
y = 3x − 4
D.
y = 3x + 12
Answer:
A
Step-by-step explanation:
Answer:
A. y=3x+4
Step-by-step explanation:
(y+5)=3(x+3)
y+5=3x+9
y=3x+9-5
y=3x+4
A store sells 4 printers for every computers. Last month the store sells 56 computers, how many printers did they sell?
Answer:
224 printers
Step-by-step explanation:
56computers×4printers per computer=224 printers
Fill in the table of values using the equation y=5/2x+3
Answer:
x = -2/5
i think
Lincoln goes out to lunch. The bill, before tax and tip, was $17.50. A sales tax of 3%
was added on. Lincoln tipped 14% on the amount after the sales tax was added. What
was the total cost of the meal, plus tax and tip? Round to the nearest cent.
An angle measures 22 more than the measure of its complementary angle. What is the measure of each angle???
Answer:
56 degrees and 34 degrees
Step-by-step explanation:
Well, considering the fact that complementary angles have a sum of 90 degrees, I think the equation we could use here to solve, would be:
90 - 22 = 68
68/2 = 34
Therefore 34 + (34 + 22) = 90
»» (34 + 22) = 56
»» 34 + (56) = 90
Therefore the measure of each angle is:
Angle 1 = 56 degrees
Angle 2 = 34 degrees
Please mark Brainliest!!!Which of the following is a point on the line defined by the parametric equations below?
[x(t)=t+7
y(t) = 5-2t
○ (3,10)
○ (7,0)
O (8,3)
O (2,1)
The following are five different examples of parametric models: exponential distributions, poisson distributions, normal distributions, the Weibull distribution, and linear regressions.
What is an example of a parametric equation?Well, a parametric equation is an equation where the variables (usually x and y) are expressed in terms of a third parameter, usually expressed as t. For example: Consider the equation of a circle with radius r and center at (0,0) : x2+y2=r2 x 2 + y 2 = r 2 .parametric equation, a type of equation that employs an independent variable called a parameter (often denoted by t) and in which dependent variables are defined as continuous functions of the parameter and are not dependent on another existing variable. More than one parameter can be employed when necessary.If there are m free variables in the homogeneous equation, the solution set can be expressed as the span of m vectors: x = s1v1 + s2v2 + ··· + smvm. This is called a parametric equation or a parametric vector form of the solution.Types of Parametric test–
Two-sample t-test.Paired t-test.Analysis of variance (ANOVA)Pearson coefficient of correlation.To learn more about parametric refer to:
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Ivan is a software salesman. His base salary is $2400, and he makes an additional $110 for every copy of History is Fun he sells.
Let P represent his total pay (in dollars), and let N represent the number of coples of History is Fun he sells. Write an equation relating P to N. Then use this
equation to find his total pay if he sells 24 coples of History is Fun.
The total pay when he sells 24 copies of Math exists Fun should be 3760.
What is meant by equation?An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. A mathematical equation is a statement with two equal sides and an equal sign in between.
Numerical constants, symbolic names, mathematical operators, functions, and conditional expressions can all be found in expressions in some combination.
Calculation of the equation and the total pay:
His base salary is $2400, and he makes an additional $110 for every copy of Math is Fun he sells.
Here P means the total pay
So, here the equation be p = 2400 + 110 n
substitute the values in the above equation, we get
Now the total pay be
p = 2400 + 110(24)
simplifying the above equation, we get
= 2,400 + 2640
= 5040
The equation that should be related P to N should be considered as the 2400 + 110n.
Therefore, the total pay when he sells 24 copies of Math is Fun should be 5040.
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The total pay when he sells 24 copies of Math exists Fun should be 3760.
What is meant by equation?An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. A mathematical equation is a statement with two equal sides and an equal sign in between.
Numerical constants, symbolic names, mathematical operators, functions, and conditional expressions can all be found in expressions in some combination.
Calculation of the equation and the total pay:
His base salary is $2400, and he makes an additional $110 for every copy of Math is Fun he sells.
Here P means the total pay
So, here the equation be p = 2400 + 110 n
substitute the values in the above equation, we get
Now the total pay be
p = 2400 + 110(24)
simplifying the above equation, we get
= 2,400 + 2640
= 5040
The equation that should be related P to N should be considered as the 2400 + 110n.
Therefore, the total pay when he sells 24 copies of Math is Fun should be 5040.
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Select a month. Then select 2020 or 2025.
How many outcomes are there?
Answer:
September2020
13outcomes
what is the shape of the distribution? the distribution would be non-normal. the distribution is approximately normal. the shape cannot be determined.
For two populations for which μ₁ = 31,σ₁ = 2, μ₂ = 27, and σ₂ = 4. The shape of the distribution is approximately normal. So, the correct choice for answer is option (b). The mean of normal distribution is equals to 4.
In statistics, the collected data distribution shape sometimes normal and sometimes non-normal. In testing of hypothesis, to use the test statistics we have to check whether data is normally or not. Here we have, two populations. In first population : mean μ₁ = 31,
standard deviations,σ₁ = 2,
sample size, n₁ = 49
In case of second sample, mean, μ₂ = 27,
standard deviations, σ₂ = 4.
Sample size, n₂ = 59
Since, population standard deviation are known and sample sizes are greater than 30, therefore the shape of the sampling distribution of the difference of sample means is approximately normal. The shape of the distribution is approximately normal. Mean of the sampling distribution of \( \bar x_1 - \bar x_2\) are
\(\mu_{ \bar x_1 - \bar x_2} = \mu_1 - \mu_2 \)
= 31 - 27 = 4
Hence, Mean of the distribution is 4.
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Complete question:
Consider two populations for which μ₁ = 31,σ₁ = 2, μ₂ = 27, and σ₂ = 4. Suppose that two independent random samples of sizes n₁ = 49 and n₂ = 59 are selected. Describe the approximate sampling distribution of x₁ bar - x₂ bar (center, spread, and shape). What is the shape of the distribution?
a) The distribution would be non-normal.
b) The distribution is approximately normal.
c) The shape cannot be determined.
What is the mean of the distribution?
Eight packages of paper weigh a total of 38 pounds. What is the weight of 40 packages of the same kind of paper?
Answer:
1,520 pounds
Step-by-step explanation:
40x 38 = 1520
Use the given diagram for questions 8-10.
Jerry is designing a boardwalk. His blueprints are shown.
8. What shapes can be used to find the area of the shaded region?
9. Divide the shaded area into smaller shapes on the graph.
10. What is the area of the shaded region?
Using the trapezium area formula, we can see that the expression you supplied may be reduced to 97 cm².
What is area?Area is a mathematical term that refers to the size of a two-dimensional surface or region. It is typically measured in square units, such as square meters, square feet, or square inches, depending on the system of measurement used. The area of a shape is determined by multiplying its length and width, or by using a specific formula depending on the shape of the object. Knowing the area of an object can be useful in many fields, including architecture, engineering, and mathematics.
Here,
a. The shapes that are present in the diagram are: rectangle and trapezium.
b. divide the shaded part using horizontal lines and vertical lines.
c. area of shaded part:
=4*2+(4+2)*3/2+(2+6)*5/2+(2+5)*2/2+(4+6)*2/2+6*3+(4+6)*5/2
=97 cm²
Using the formula for the area of a trapezium, we can see that the expression you provided can be simplified to 97 cm².
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If x < 5 and x > C, give a value of c such that there
are no solutions to the compound inequality.
Explain why there are no solution pls
Answer:
5, or any value greater than or equal to 5
Step-by-step explanation:
So, let's start with the inequality: \(x < 5\) since it's something that has a value. This just means that x is less than 5... but in our compound inequality it's very important, since the other inequality is: \(x > c\),
so if we were to say: \(c=5\), then we would have the compound inequality: \(5 < c < 5\) and there is no value that would satisfy this inequality, because what value is between 5 and 5?
In general, if \(c\ge5\) than there will be no solutions, since x cannot be greater than or equal to 5, and also less than 5 at the same time.
someone please help ASAP
Answer:
Wilde River
Step-by-step explanation:
If you look at their wins and losses (47 and 11) they will have an 81% chance of winning compared to the other team's 63% chance of winning.
47/58=81
22/35=62.8
find the one rational number between ½ and ¾
Answer: 5/8
Step-by-step explanation:
Between 1/2 and 3/4
1/2=4/8
3/4=6/8
Given the equation 6(8g + 2) + 45 = 153, write a scenario similar to Parts A and B that could be represented by the equation. Solve for g and explain what each number in the equation represents, including the solution.
The value for g is 2, meaning that each family bowled 2 games.
How to solve linear equations?
Given that the largest power of the variable (or pronumeral) in these equations is 1, linear equations are also known as first-degree equations. A line on the quadratic system is represented by a linear equation. This equation's general form is axe + b = 0, where a, b, and x are all integers and x is the variable. The y-axis is parallel to this form of equation's single solution, which it symbolizes.
The steps that should be followed while solving linear equations are listed below:
1) We must first determine which variable we need to isolate.
2) Next, make a distinction between variables and constants.
3) Arrange the constants on the right and the variables on the left.
4) Using established axioms, we carry out algebraic operations to determine the variable's value.
Given, the equation is 6(8g + 2) + 45 = 153
Following the steps in the available literature, we have the equation as:
6(8g + 2) + 45 = 153 ⇒ 48g + 12 + 45 = 153 ⇒ 48g = 153 - 45 - 12 = 96
⇒ g = 96/48 ⇒ g = 2
Thus, g as suggested will determine number of times each family bowled.
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The function f(x) = x2 4 is defined over the interval [-2, 2]. if the interval is divided into n equal parts, what is the height of the right endpoint of the kth rectangle?
the height of the endpoint of the kth rectangle equals the heights of the first and kth preceding rectangles.
= -2 +k*(5/n)
What is Coordinate geometry?The study of geometry utilizing coordinate points is referred to as coordinate geometry (or analytic geometry). Finding the distance between two points, dividing lines in the m:n ratio, locating a line's midpoint, and computing the area of a triangle in the Cartesian plane can all be done using coordinate geometry.
The range for the definition of the function f(x) = x^2 + 4 is (-2, 2).
Between this interval, there are a total of 5 equal pieces.
Height of each rectangle's right endpoint equals if the interval is divided into n equal pieces. k=(5/n)
Therefore, the height of the endpoint of the kth rectangle equals the heights of the first and kth preceding rectangles.
= -2 + k*(5/n)
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Write the word sentence as an equation.
The sum of nine and one-fourth of a number g is equal to a number h.
Answer:
9+1/4g = h
Step-by-step explanation:
HELP WILL MARK BRAINLIEST
Answer:
3*3*3-1*1
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
3x3=9
1x2=2
so 9-2=7
is -5/12 and irrational or rational
Answer:
Rational.
Step-by-step explanation:
Since it can be put into a fraction, negative or positive it is clearly rational. Irrational numbers are numbers we can never know the true value because they repeat forever (pi for example)
Answer:
rational number
Step-by-step explanation:
hope this helps...yo
Question below in image
What is the value of the expression below when y = 5?
y? – 3y + 6
Step-by-step explanation:
y-3y+6
when y is equal to 5
=5 - 3(5) + 6
=5 - 15 + 6
=5 - 9
= -4
What Is the cofrect term for varlation in characteristics within populations of the same specles?
A varlation In characteristics within populations of the same species is called
Reset
Next
The correct term for variation in characteristics within populations of the same species is "intraspecific variation."
In biology, a species is defined as a group of organisms that can interbreed and produce viable offspring. Within a species, there can be variation in characteristics due to genetic differences, environmental factors, or a combination of both.
This variation can occur within a single population or across different populations of the same species.
The term "intraspecific variation" is used to describe this variation within a single species. It can refer to differences in physical characteristics such as size, color, or shape, as well as differences in behavior, physiology, or genetic makeup.
Intraspecific variation is important because it can influence an organism's survival and reproduction, as well as its interactions with other organisms in its environment.
Understanding intraspecific variation is therefore important for studying evolutionary processes, population dynamics, and biodiversity.
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What is 5x - 2y = -5 and 5x + 6y =35
Answer:
x = 1
y = 5
Step-by-step explanation:
5x - 2y = -5
5x + 6y = 35
=> 5x + 6y = 35
=> 5x - 5x + 6y = 35 - 5x
=> 6y = 35 - 5x
=> 6y/6 = 35/6 - 5/6x
=> y = 35/6 - 5/6x
=> 5x - 2 (35/6 - 5/6x) = -5
=> 5x - 35/3 + 5/3x = -5
=> 15/3x -35/3 + 5/3 = -15/3
=> 20/3x -35/3 = -15/3
=> 20/3x -35/3 + 35/3 = -15/3 + 35/3
=> 20/3x = 20/3
=> 20/3x * 3 = 20/3 * 3
=> 20x = 20
=> 20x/20 = 20/20
=> x = 1
=> 5x + 6y = 35
=> 5(1) + 6y = 35
=> 5 + 6y = 35
=> 5 -5 + 6y = 35 -5
=> 6y = 30
=> 6y/6 = 30/6
=> y = 5
So, x = 1
y = 5
find the length of or−→−. r=(2,8,6)
Answer:
2sqrt(26)
Step-by-step explanation:
sqrt(2^2+ 8^2+ 6^2)
=2×sqrt(26)