337 were senior citizens.
What is the system of equations?
A system of equations, also known as an equation system or a set of simultaneous equations, is a finite set of equations for which common solutions are sought.
Here, we
Let
x = the number of adult tickets sold
y = the number of senior tickets sold
483 people paid admission => a total of 483 tickets were sold and
x + y = 483
the total receipts were $7548
24x + 12y = 7548
by solving the system of equations
x + y = 483....(1)
24x + 12y = 7548....(2)
From equation (1), we get
x = 483-y....(3)
Now, we put the value of x in equation (2) and we get
24(483 - y) +12y = 7548
11592 - 24y + 12y = 7548
12y = 4044
y = 337
Now, we put the value of y in equation (1) and we get
x = 483 - 337
x = 146
Hence, 337 were senior citizens.
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a coin-operated soft drink machine was designed to discharge, on average, 7 oz of beverage per cup. in a test of the machine, 10 cupfuls of beverage were drawn from the machine and measured. the average and sd of the ten measurements were 7.1 oz and 0.12 oz, respectively. assume that the histogram of beverage discharge from this machine roughly follows a normal curve. does this machine discharge more than 7.0 oz or does the difference represent chance variation?
The machine discharge more than 7.0 oz or does the difference represent chance variation is 0.0274
What is meant by variation?
In math, variance refers any difference between the individuals in a species or groups of organisms of any species.
Here we have given that a coin-operated soft drink machine was designed to discharge, on average, 7 oz of beverage per cup. in a test of the machine, 10 cupful's of beverage were drawn from the machine and measured. the average and SD of the ten measurements were 7.1 oz and 0.12 oz, respectively. assume that the histogram of beverage discharge from this machine roughly follows a normal curve.
And we need to find machine discharge more than 7.0 oz or does the difference represent chance variation.
By using the Applet, to find the exact p-value we first need to find P(Z≥2.63) where Z is a t9 random variable.
=> P(Z≥2.63)=0.0137
=> 2×P(Z≥2.63)=0.0274
=> P-value=0.0274
So, the p-value associated with the test is 0.0274
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Please help, answers only!
Answer:
y = -2x+2
Find slope
find x intercept
y=mx+b
Select the values that make the inequality -w <-8 true.
Then write an equivalent inequality, in terms of w.
(Numbers written in order from least to greatest going across.)
-13
-8
-3
07
8.1
O-9
-7.9
O
7.9
9
-8.1
0 -7
03
8
13
The values that make the inequality -w<-8 true are 8.1, 9, 13.
The equivalent inequality is w > 8.
What is the order from least to greatest?
There are two ways to arrange a set of integers in mathematics. It implies that there are two possible orderings for the numbers: ascending and descending. Ascending order refers to the arrangement of numbers in which the smallest number comes before the largest. The numbers are listed in this fashion in ascending order. It is ideal for the first number to be less than the second.
Descending order refers to arranging the integers from largest to least value. The numbers are in decreasing order in this manner. It is ideal for the first number to be higher than the second.
Given inequality is -w < -8.
Now putting w = -13, -8, -3, 07, 8.1, O-9, -7.9, O, 7.9, 9, -8.1, 0 -7, 03, 8, 13 in the given inequality.
-(-13) < -8 → 13 < -8 (false)
-(-8) < -8 → 8< -8 (false)
-(-3) < -8 → 3 < -8 (false)
-7 < -8 (false)
-(8.1) < -8 (true)
-(0-9) < -8 → 9 < -8 (false)
-(-7.9) < -8 → 7.9 < -8 (false)
-9 < -8 (true)
-(0-7) < -8 → 7 < -8 (false)
-(03) < -8 → 3 < -8 (false)
-8 < -8 (false)
-13 < -8 (true)
Rewrite the given inequality:
Multiply -1 on both sides:
(-1) × (-w) > (-1) × (-8)
w > 8
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Describe the end behavior of the function -2x^3-13x^2+8x+52
Answer:
Step-by-step explanation:
lim x -> +oo -2x³ - 13x² + 8x + 52
x³ (-2 -13/x + 8/x² + 52/x³)
+oo³ (-2 - 13/+oo + 8/+oo² + 52/oo³)
+oo(-2 + 0 + 0 + 0)
-oo
lim x -> -oo -2x³ - 13x² + 8x + 52
x³ (-2 -13/x + 8/x² + 52/x³)
-oo³ (-2 - 13/-oo + 8/-oo² + 52/-oo³)
-oo(-2 + 0 + 0 + 0)
+oo
HEEEELLLPP ME FAST I ONLY GOT 51:20 MINES LEFT!!!!
he lines on the graph below represent the cost of apples at four different stores. A graph titled Cost of Apples has pounds of apples on the x-axis and total cost in dollars on the y-axis. Line A goes through points (0, 0) and (4, 3). Line B goes through points (0, 0) and (4, 4). Line C goes through points (0, 0) and (4, 5). Line D goes through points (0, 0) and (4, 8). At which store is the cost of apples the least?
Answer: LINE A (take a look at the slope of the lines they all have the same x axis but the y axis # changes which is what changes our slope) making a the answer
Step-by-step explanation:
How do you sketch a graph of a function?
The graph of a function can be sketched by plotting points.
First and foremost, it is to be determined if the function is odd/even or periodic. Next, we find the x and y intercepts. To sketch a graph of a function, one can start by plotting a few points that lie on the graph using the coordinates given by the function. For example, if the function is y = x², then points (0, 0), (1, 1), and (2, 4) can be plotted by substituting the values of x into the function to find the corresponding values of y.
Subsequent to this, one can connect the points with a smooth curve to form the graph of function. If the function is a straight line, the graph will be a straight line. If the function is quadratic, the graph will be a parabola. The graph may take on a more complicated shape for more complex functions.
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Which expression is equivalent to this polynomial? 9x2 + 7
Answer:
2+7=9 so 9x9=81
Step-by-step explanation:
What is the slope of the line through − 7 − 2 and − 6 7?
The slope of the line through − 7 − 2 and − 6 7 is 9. A line's steepness can be determined by looking at its slope.
Where y and x denote the first and second values, respectively, and y and x2 denote the third and fourth values, respectively, and m is the slope
I by itself would result in m in our scenario.
m= y2 - y/x2 - x
Since x and y are random positions, I will state that the first point, X, is at (-7, -2) and the second point, Y, is at (-6, 7). Therefore, we will enter the values below in their place:
m= [7 -(-2)]/ (-6) -( -7)]
m= 9/1
m = 9
The slope of the equation would be nine.
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Latanya has $1.90 worth of nickels and dimes. She has a total of 24 nickels and dimes altogether. Determine the number of nickels and the number of dimes that Latanya has.
In total of 24 coins, Latanya has 10 nickels and 14 dimes altogether.
What is a function? What is equation modelling? What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the functionEquation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is that Latanya has $1.90 worth of nickels and dimes. She has a total of 24 nickels and dimes altogether.
We can write the equation as -
(x/20) + (y/10) = 1.90
x + y = 24
Refer to the graph attached. On solving the equation graphically, we get-
x = 10, y = 14
Therefore, she has 10 nickels and 14 dimes in total.
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A system of a linear equation is said tk be consistent if it had at least one solution ? true false​
A system of a linear equation is said tk be consistent if it had at least one solution is true
In a linear equation, the largest power of the variable is always equal to 1. It's also known as a one-degree equation. Typically, Ax + B = 0 is used to represent a linear equation with one variable. The variables x, A, and B in this case serve as constants and coefficients, respectively. The typical form of a linear equation with two variables is Ax + By = C. Here, x and y are the variables, A and B are the coefficients, and C is the constant. If there is at least one solution, a set of linear equations is considered to be consistent. This means that when all equations in the system are solved, at least one set of values for the variables can be found which satisfy all equations simultaneously. So, the statement is true.
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Find the midpoint of the line segment with the given endpoint. (-3,-5),(4,5)
Answer:
[tex]\left(\frac{1}{2}, 0 \right)[/tex]
Step-by-step explanation:
Using the midpoint formula,
[tex]\left(\frac{-3+4}{2}, \frac{-5+5}{2} \right)=\left(\frac{1}{2}, 0 \right)[/tex]
Please D: I'm so dum
Answer:
6: H
3: A
Step-by-step explanation:
6: We only want a pound of fertilizer, if we have 7.8 pounds then we would have to divide by the cost in order to get only the cost of one. 67.86 ÷ 7.8 = 8.70
3: 3/4 is less than one hour. We only want one hour. We divide the 18 miles by 3, which is 6 but since it's a little less than an hour, it must be lower. The only option less than 6 is 4.5
What does AAA mean in triangles?
Answer:
Angle, Angle, Angle.
Step-by-step explanation:
"AAA" means "Angle, Angle, Angle" "AAA" is when we know all three angles of a triangle, but no sides.
Answer:It means the three angles of a triangle.
Step-by-step explanation:"AAA" means "Angle, Angle, Angle" "AAA" is when we know all three angles of a triangle, but no sides.
What other information, if any, do you need to prove the two triangles congruent by SAS? Explain.
A. Line GL = Line NM and Line GT= Line NQ are both needed because all three corresponding sides must be congruent.
B. Line GT= NQ is needed because the congruent angles need to be included between two corresponding congruent sides.
C. Line GL = Line NM is needed because the congruent angles need to be included between two corresponding congruent sides.
D. No additional information is needed to prove the triangles congruent by SAS.
Answer:
C. Line GL = Line NM is needed because the congruent angles need to be included between two corresponding congruent sides.
consider the following. (a) draw a tree diagram to display all the possible outcomes that can occur when you flip a coin and then toss a die. maple generated plot maple generated plot maple generated plot maple generated plot (b) how many outcomes contain a head and a number greater than 4? (c) probability extension: assuming the outcomes displayed in the tree diagram are all equally likely, what is the probability that you will get a head and a number greater than 4 when you flip a coin and toss a die? (round your answer to three decimal places.)
a) The tree diagram is given by the image shown at the end of the answer.
b) The probability that you will get a head and a number greater than 4 when you flip a coin and toss a die is: 1/6.
How to obtain a probability?A probability in the context of an experiment is calculated as the division of the number of desired outcomes by the number of total outcomes.
The possible outcomes in this problem are given as follows:
Coin: 2 outcomes, head or tails.Dice: Six outcomes, 1, 2, 3, 4, 5 or 6.The tree diagram at the end of the answer gives these 12 outcomes.
There are two outcomes in which you get a head and a number greater than 4, which are:
(Heads, 5) and (Heads, 6).
Hence the probability is calculated as follows:
p = 2/12 = 1/6.
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Manny took home a couple of his friends after soccer practice. He originally had 7 gallons of gas in his car. He used 1.08 gallons of gas to take one friend home and three fifths gallons to take the other friend home. How much gas did he have left in his car after taking both friends home?
1.07 gallons
5.32 gallons
5.86 gallons
5.92 gallons
Answer: b.5.32
Step-by-step explanation:
The Hulk smashed enemy robot has a constant rate . He needs 35 minutes to smash a total of 15 robots . Write an equation to describe the relationship between t , for time , and r , for the total number of robots .
The equation to describe the relationship between t , for time , and r , for the total number of robots is t = 2.3r
What equation can describe the relationship?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.
In this case, an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.
Since the Hulk smashed enemy robot has a constant rate and needs 35 minutes to smash a total of 15 robots.
This can be illustrated as:
t = kr
t = time
k = constant
r = number of robots
35 = 15k
k = 35/15
k = 2.3
The equation will be t = 2.3r
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Find the equation of the axis of symmetry of the following parabola algebraically
y=−3x^2+18
The equation of the axis of symmetry of y=−3x^2+18 parabola algebraically is x = 0.
we use for that the fact that the x position of the vertex of a parabola of the general form: [tex]y = ax^{2} + bx + c[/tex], is given by:
[tex]x_{vertex}[/tex] = [tex]\frac{-b}{2a}[/tex]
which in our case becomes:
[tex]x_{vertex}[/tex] = [tex]\frac{-0}{-6}[/tex]
[tex]x_{vertex}[/tex] = 0
Parabola:
A parabola is a curve whose equation has a point on it that is equally spaced from both a fixed point and a fixed line. The parabola's fixed line and fixed point are together referred to as the directrix and focus, respectively. It's also crucial to remember that the fixed point is not located on the fixed line. A parabola is a locus of any point that is equally distant from a given point (focus) and a certain line (directrix). An essential curve of the coordinate geometry's conic sections is the parabola.To know more about Parabola:
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The value of the ratio of adults to children is 2/5. The ratio of adults to children is _____.
Ratio of adults to children is = 2:5
Whenever any integer fractional number is given for example if we consider any fraction number = [tex]\frac{a}{b}[/tex]
Ratios are represented with the symbol = ':'
This above fractional number could also be represented as ⇒ a:b
So, we conclude that the fractional signs are equal to the ratio sign
As in the case of the fraction [tex]\frac{2}{5}[/tex] given in the question, it can also be written as = 2:5 in the form of a ratio.
Therefore, the ratio of adults to children is ⇒ 2:5
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Answer: Ratio of adults to children is = 2:5
Step-by-step explanation:
Whenever any integer fractional number is given for example if we consider any fraction number =
Ratios are represented with the symbol = ':'
This above fractional number could also be represented as ⇒ a:b
So, we conclude that the fractional signs are equal to the ratio sign
As in the case of the fraction given in the question, it can also be written as = 2:5 in the form of a ratio.
Therefore, the ratio of adults to children is ⇒ 2:5
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how is the amount of variability between groups quantified? group of answer choices comparing the standard deviations of each group to each other comparing the sample means of each group to each other. comparing the sample means of each group to the grand mean comparing the standard deviations of each group to the grand standard deviation
The amount of variability between groups quantified is group of answer choices comparing the standard deviations of each group to each other comparing the sample means of each group to each other.
A variability measure is a summary statistic that describes the amount of variation in a dataset. Central tendency measures describe typical values, while variability measures define how far away data points tend to be from the center. We talk about variability in the context of value distribution. A small variance indicates that the data points tend to be clustered near the center. A large spread means they tend to move further apart.
Analysts often use averages to summarize the center of a population or process. Averages are good, but people are often more sensitive to fluctuations. The less variability in the distribution, the more consistent the values within the dataset. However, the higher the variability, the more diverse the data points and the more likely extreme values will occur. Therefore, understanding variability helps us to understand the likelihood of anomalous events.
Meteorologists have seen weather forecasts showing extreme heat and drought in some areas and flooding in others. We often feel more uncomfortable in the extreme than in the middle. Understanding this variability about the mean provides important information.
Variation is everywhere. My commute time varies slightly from day to day. Parts coming off the assembly line look the same, but have slightly different lengths and widths.
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Two positive numbers have a sum of 8 and a product of 13. Algebraically determine the value of the larger of the two numbers to the nearest hundredth
The values of a and b are 6.83 and 1.17 respectively rounded to the nearest hundredth.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Let the numbers be a and b.
Given, (a + b) = 8..(i) and ab = 8.
Now,
(a + b)² = a² + 2ab + b².
64 = a² + b² + 16.
a² + b² = 48.
Now,
(a - b)² = a² + b² - 2ab.
(a - b)² = 48 - 16.
(a - b)² = 32.
(a - b) = 5.66...(ii)
Adding (i) and (ii) we get 2a = 13.66 ⇒ a = 6.83 and b = 8 - 6.83 ⇒ b = 1.17.
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Solve k−7≤0. Graph the solution pls help me find the solution.
the graph will contain all the plane which is less than or equal to 7
What is inequality?
Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare two values. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign in between. Sometimes it can be about a "not equal to" relationship, where one thing is more than the other or less than. In mathematics, an inequality is a relationship that results in a non-equal comparison between two numbers or other mathematical expressions.
The given inequality is k−7≤0
k ≤ 7
Hence the graph will contain all the plane which is less than or equal to 7.
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< Quadrilateral L' is the image of quadrilateral L under a dilation. What is the center of the dilation? ( pls help i need it asap )
The center of the dilation from the quadrilateral WXYZ to quadrilateral W'X'Y'Z' is point A.
What is a dilation?Dilation is the process of resizing or transforming an object. It is a transformation that makes the objects smaller or larger with the help of the given scale factor. The new figure obtained after dilation is called the image and the original image is called the pre-image.
Given that, quadrilateral L' is the image of quadrilateral L under a dilation.
The origin is often used as the center of dilation.
Connect all the points from quadrilateral WXYZ and quadrilateral W'X'Y'Z' to point A.
Therefore, the center of the dilation is point A.
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A survey was taken during school to see how students get to school the data was summarized in the table below
A.9
B.10.5
C.13.25
D.19.25
E.21
Answer: B
Step-by-step explanation: B
Select that integer that matches the following situation:
I go for a hike in Colorado. The top of the mountain is , feet above sea level.
Question 4 options:
A: 144
B: 14,000
C: -14
D: -14,000
PLEASE GIVE ME A CORRECT AND ACTUAL ANSWER PLS
Please help this is due in a few Brainliest will be rewarded!!!!!
Step-by-step explanation:
the middle one has to be the same for both part ratios.
the best here is to bring the ratio element of B in the first part ratio to 10. we need to double the B element there
for that (as a ratio is a fraction) we also have to adapt the A element in the same way.
so, we get
4×2 : 5×2 : 9 =
= 8 : 10 : 9
and that is also shown in the graphic.
Answer:
X:Y:Z= 8:10:9
Step-by-step explanation:
Let x be the number of students in class A
Let y be the number of students in class B
Let z be the number of students in class C
x:y = 4:5
y:z= 10: 9
x:y:z = ?
Find the LCM of the y terms (5 and 10 ) which is 10
Divide 10 by the first y term (5) = 2
Divide 10 by the second y term(10) = 1
X: y = (4 x 2) :(5 x 2)= 8:10
y:z =(10 x 1) : (9:1)= 10:9
x:y:z= 8:10:9
How do you find the domain and range of a graph equation and table?
The domain of a graph is made up of all the input values displayed on the x-axis since the term "domain" refers to the set of potential input values. The y-axis on a graph indicates the available expected output, or range of graph.
In the given question, we have to explain how we can find the domain and range of a graph equation and table.
The domain and range are typically listed in a table's left and right columns, respectively. In a relation or function, the domain can alternatively be thought of as the input values (x), and the range as the output values (y).
Graphs can be used as another tool for determining the domain and range of functions. The domain of a graph is made up of all the input values displayed on the x-axis since the term "domain" refers to the set of potential input values. The y-axis on a graph indicates the available expected output, or range.
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Given AB=CB and DB bisects ABC
Prove A=C
∠A = ∠C by congruent parts of congruent sides
What is CPCT ?Corresponding parts of congruent triangles is referred to as CPCT. According to the CPCT theorem, if two or more triangles are taken that are congruent to one another, then the corresponding angles and sides of the triangles are likewise congruent to one another.
According to the given Information
Given
AB = CB
DB bisects ∠ABC
∠ABD = ∠CBD
Proof
In Δ ABD and Δ CBD
AB = CB ( given )
∠ABD = ∠CBD ( given )
BD = BD ( Common Side )
So
Δ ABD ≅ Δ CBD ( SAS congruence )
∠A = ∠C ( CPCT )
Congruent Parts of Congruent Sides
Hence
∠A = ∠C by congruent parts of congruent sides
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what statistical test would perform to test your hypothesis: average time to deliver goods, once the order is placed over phone, is more than 30 minutes in the population. group of answer choices t-test linear regression z-test anova
To test the given hypothesis : average time to deliver goods, once the order is placed over phone, is more than 30 minutes in the population, the T-test or T statistical test should be performed.
A parametric statistical test makes assumptions about the population parameters and data distributions. T-tests, z-tests, linear regression, and anova tests are examples of these tests, which assume data from a normal distribution.
Z-test:-When the variances are known and the sample size is large, a z-test is used to determine whether two population means differ. The parameters used are the population mean and standard deviation. The Z-test is used to confirm that the sample drawn is from the same population.T-test:-The t-test compares the means of two samples. When the population parameters (mean and standard deviation) are unknown, a t-test is used.ANOVA Test:-ANOVA is a statistical technique used to determine whether the means of two or more groups differ significantly from one another. ANOVA compares the means of different samples to determine the impact of one or more factors. If we use a t-test instead of an ANOVA test, the results will be inaccurate because there are more than two samples.Linear Regression model :-A linear relationship exists between the response variable and the predictor variables in linear regression. It can be used to predict the value of one continuous variable based on the value of another.As we all know, a statistical test known as a t-test is used to compare the means of two groups. It is frequently used in hypothesis testing to determine whether a procedure or treatment truly affects the population of interest or whether two groups differ.
Thus,The T-test or T statistical test should be performed to test the given hypothesis.
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What are the 5 steps of solving a linear equation in two variables strategy?
A system of two-variable linear equations can be solved using one of five strategies. Here is a description of those techniques:
Graphical MethodSubstitution MethodCross Multiplication MethodElimination MethodDeterminant MethodGiven,
Linear equation in two variables;
The equations with one, zero, or an infinite number of solutions are known as linear equations with two variables since each of the variables has an exponent order of one. A linear equation with two variables has the conventional form axe + by + c = 0, where x and y are the variables.
The answers can also be expressed as ordered pairs, such as (x, y). Two straight lines, which could be intersecting, parallel, or coincident, are included in the graphic representation of the system of linear equations in two variables.
Here,
A system of linear equations in two variables can be solved using one of five techniques. These techniques are described below:
Graphical MethodSubstitution MethodCross Multiplication MethodElimination MethodDeterminant MethodLearn more about solving linear equations here;
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