In this investigation, the dependent variable is the number of fish in the stream and the independent variable is the amount of pollution.
Variables are symbols or names that are used to represent values in a mathematical or scientific investigation. They allow us to describe and analyze patterns and relationships in data.
There are two main types of variables:
1. Independent variables are variables that are manipulated or controlled in an experiment to determine their effect on the dependent variable. The independent variable is also referred to as the predictor variable or the explanatory variable.
2. Dependent variables are variables that are being measured in an experiment and are dependent on the independent variable. The dependent variable is also referred to as the response variable or the outcome variable. It is the variable that is being affected by the independent variable.
The dependent variable is dependent on the independent variable, as changes in the amount of pollution are expected to affect the number of fish in the stream. The goal of the investigation is to determine the relationship between the two variables and see how changes in the amount of pollution affect the number of fish in the stream.
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luann predicted that if a certain number of vehicles passed her by, 42 of them would be suvs. what was that certain number of vehicles she had in mind?
The number of vehicles Luann had in mind is 135.
The calculation of the number of vehicles Luann had in mind is based on the ratio of the number of predicted SUVs to the number of predicted vehicles, and the actual number of SUVs seen by Luann.
First, we know that for every 45 vehicles that pass by, 14 are expected to be SUVs. This means that 14/45 of the vehicles are expected to be SUVs.
Next, we know that Luann saw 42 SUVs pass by. To find the actual number of vehicles that have passed by, we set up a proportion:
14/45 = 42/actual vehicles.We can then solve for the actual number of vehicles by cross-multiplying and dividing:
45 * 42 = 14 * actual vehiclesactual vehicles = 45 * 42 / 14 = 135.So the number of vehicles Luann had in mind is 135.
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Complete Question:
Luann predicted that if a certain number of vehicles passed by her by, 42 of them would be SUVs. What was the certain number of vehicles she had in mind?
Types of Vehicles | Number of vehicles
Car | 6
Truck | 10
SUv | 14
Minivan | 15
7 1/4 rounded to nearest 1/4 hour
The required round of 7 /14 to the nearest 1/4 is itself 7 1/4.
What is rounding of values?The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.
Here,
7 1/4 rounded to the nearest 1/4 hour is 7 1/4. Rounding to the nearest 1/4 hour means finding the closest 1/4 hour mark, which in this case is 7 1/4 itself.
Thus, the required round of 7 /14 to nearest 1/4 is itself 7 1/4.
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(Systems of Linear Equations LC) How many solutions does the system of linear equations represented in the graph have? Coordinate plane with one line that passes through the points 0 comma 3 and 3 comma 4 and another line that passes through the points 0 comma negative 2 and 3 comma negative 1. One solution at (−2, 0) One solution at (0, −2) No solution Infinitely many solutions
The solution is Option C.
The system of equations have no solutions as they are parallel lines
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of first line be A
Let the equation of second line be B
Let the first point be P ( 0 , 3 )
Let the second point be Q ( 3 , 4 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 4 - 3 ) / ( 3 - 0 )
Slope m = 1/3
Now , the equation of line A is
y - y₁ = m ( x - x₁ )
y - 3 = ( 1/3 ) ( x - 0 )
y - 3 = ( 1/3 )x
Adding 3 on both sides of the equation , we get
y = ( 1/3 )x + 3 be equation (1)
And , the third point is R ( 0 , -2 )
Let the fourth point be S ( 3 , -1 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( -1 - ( -2 ) ) / ( 3 - 0 )
Slope m = 1/3
Now , the equation of line A is
y - y₁ = m ( x - x₁ )
y - ( -2 ) = ( 1/3 ) ( x - 0 )
y + 2 = ( 1/3 )x
Subtracting 2 on both sides of the equation , we get
y = ( 1/3 )x - 2 be equation (1)
Hence , the equations have the same slope as m = 1/3 and they are parallel lines
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Cindy is buying necklaces. This table shows how the cost depends on
the number of necklaces purchased.
Necklaces 9 10 11 12
Cost ($) 18 20 22 24
What is the constant of proportionality of this relationship?
(label optional)
Therefore , the solution of the given problem of unitary method comes out to be $2 for one necklace is constant of proportionality of this relationship.
What is a unitary technique, exactly?After determining the size of a small slice, multiply the quantity by two to complete a task using the unitary technique. The simple expression-based unit variable technique aids in separating a coded item from a given group or collection of groups. 40 pens, for instance, would cost 400 Rs (or $1.01 or 400 pounds). It's possible that one country will have total control over the method employed to do this.
Here,
Given :
Necklaces 9 10 11 12
Cost ($) 18 20 22 24
Cost of one necklace = 18/9 =2
$2 for one necklace.
Therefore , the solution of the given problem of unitary method comes out to be $2 for one necklace is constant of proportionality of this relationship.
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Find the slope number 11
to get the slope of any straight line, we simply need two points off of it, let's use those two in the picture below.
[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{3}-\stackrel{y1}{(-5)}}}{\underset{\textit{\large run}} {\underset{x_2}{4}-\underset{x_1}{(-2)}}} \implies \cfrac{3 +5}{4 +2} \implies \cfrac{ 8 }{ 6 } \implies \cfrac{4 }{ 3 }[/tex]
Which expressions are equivalent to 8(-10x+3.5y-7)? Select two options.
The equivalent expressions are 80x + 28y + 56 and -4(-20 + 7y - 14). Option C and D
What is an algebraic expression?Algebraic expressions are simply defined as expressions that are composed of variables, terms, constants, coefficients and factors.
They are also comprised of mathematical operations, such as;
AdditionBracketDivisionSubtractionMultiplicationFloor divisionParenthesesFrom the information given, we have that;
8(-10x+3.5y-7)
Expand the bracket
80x - 28y + 56
Hence, the expressions are 80x + 28y + 56 and -4(-20 + 7y - 14)
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The complete question:
Which expressions are equivalent to 8(-10x+3.5y-7)? Select two options.
-80x + 24 5y - 56-80x + 28y - 5680x + 28y + 56-4(-20 + 7y - 14)PLEASE I NEEED HELLLPPPPP ON THUS
Answer:
B
Step-by-step explanation:
Answer:
A. 37/100
Step-by-step explanation:
1. common denominator. so make 3/10 into 30/100.
2. subtract 30/100 from 67/100.
the answer is 37/100
Every rectangle with four congruent sides is a square. true or false
Answer: false
Step-by-step explanation:
What is the probability that a standard normal random variable will be between .3 and 3.2?
There is a 0.3814 percent chance that a standard normal random variable will fall between 0.3 and 3.2.
In the posed query,
We must determine the likelihood that a standard normal random variable will occur with a probability between 0.3 and 3.2.
First, a standard normal random variable with a mean and standard deviation is introduced.
We must determine the likelihood that a standard normal random variable will fall within the range of 0.3 and 3.2.
The likelihood therefore should be
P(0.3<z<3.2)=P(z<3.2)−P(z<0.3)
Using z's typical value
P(0.3<z<3.2)=0.9993−0.6179
Simplifying
P(0.3<z<3.2)=0.3814
According to the z table, there is a 0.3814 percent chance that a standard normal random variable will fall between 0.3 and 3.2.
Option A is the proper response, so.
The complete question is:-
What is the probability that a standard normal random variable will be between .3 and 3.2?
A. .3814
B. .3808
C. .9993
D. .6179
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Pls help!
Marco received a gift card. He used it to buy 2 bike lights for $11.50 each. Then he bought a handlebar bag for $18.35. After these purchases, he had $3.65 left on the card.
How much money was on the gift card when Marco received it?
Marco had $ on the card to begin with.
Answer:
Marco had 45 dollars on the card when he received it.
Step-by-step explanation:
ms. liu wants to focus on building a consumer base and is seeking repeat customers. she is less interested in newcomers to the site. metrics show that the percentage of first-time users is 20 percent. what is the number of repeat customers on weekdays and on weekends?
The correct answer is option (D). The answer is 100 on weekdays, 80 on weekends
Given that,
Ms. Liu wants to concentrate on growing her clientele and is looking for recurring business. She is less intrigued by visitors who are new to the site. The percentage of first-time users is 20%, according to analytics.
To find : What percentage of clients return on weekdays and weekends?
Number of repeat customer on weekdays = 125 * (1 - 20%) = 100
Number of repeat customer on weekend = 100 * (1 - 20%) = 80
Therefore, option is the appropriate response (D).The answer is 80 on weekends and 100 throughout the week.
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58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
If a value of 80.8° is added to the data, how does the range change?
Answer:
The original data set would be:
57, 58, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105
So to find the range you would do:
105 - 57 which equals 48.
So the range for the original data set would be 48.
The new data set adding 80.8:
57, 58, 61, 66, 71, 77, 80.8, 82, 91, 95, 100, 102, 105
So to find the range for the new data set you would do:
105 - 57 which would still equal 48.
So the range for the new data set would be 48.
The range for the original and new data set stayed the same.
Step-by-step explanation:
You're welcome.
Answer:
The original data set would be:57, 58, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105So to find the range you would do:105 - 57 which equals 48.So the range for the original data set would be 48.The new data set adding 80.8:57, 58, 61, 66, 71, 77, 80.8, 82, 91, 95, 100, 102, 105So to find the range for the new data set you would do:105 - 57 which would still equal 48.So the range for the new data set would be 48.The range for the original and new data set stayed the same.
Step-by-step explanation: hi everybodyyy!!
g if there is a total of 30 exams and the third quartile has a value of 85, how many test scores are for certain 85 or greater?
7 test scores are 85 or greater according to the given scenario.
The third quartile (Q3) is a measure of central tendency that represents the value separating the lower 75% of a dataset from the upper 25%. In this case, the third quartile has a value of 85, meaning that 75% of the test scores are 85 or lower.
Since there are 30 exams in total, 30 x 0.75 = 22.5 exams have scores of 85 or lower. To find the number of exams with scores of 85 or greater, we subtract the number of exams with scores of 85 or lower from the total number of exams, which is 30 - 22.5 = 7. This means that 7 exams have scores of 85 or greater.
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What is the area of the shape for the quilt block?
94 1/2 in²
166 1/2 in²
189 in²
333 In²
Answer:
166 1/2 in²
Step-by-step explanation:
The area of the quilt block= area of rectangel ABCD + area of right angled triangle AEF
=length*breath + 1/2*base* height
=16*9+1/2*6*7.5
=166.5 which also means 166 1/2 in²
resultant rotation angle value?
The angle of rotation if an image is the result of a composition of two reflections across perpendicular lines is 180 degrees
How to determine the angle of rotation of reflection os perpendicular line ?Rotation and reflection are forms of transformation as seen in mathematics. The two are related in some forms.
here, we have,
When a reflection is done on a plane perpendicular to the preimage the image is reflected at the perpendicular plane. This is equal to rotation of an angle 90 degrees.
When the reflection is continued again across the perpendicular line, another reflection is noticed and similar rotation however in this case with respect to the initial image, the rotation is now 180 degrees.
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the ratio of the measures of the three angles in a triangle is 14:5:11.Use the variable X as the uknown.Solve for X
The value of 'x' in the ratio 14 : 5 : 11 is 6.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know the sum of all the interior angles in a triangle is 180°.
Given, The angles are in the ratio 14 : 5 : 11.
Let, 'x' be the ratio multiplier.
Therefore, 14x + 5x + 11x = 180.
30x = 180.
x = 180/30.
x = 6.
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5.) how is the size of a sample related to the spread of the sampling distribution? 6.) in an srs of size n, what is true about the sampling distribution of p when the sample size n increases? 7.) in an srs of size n, what is the mean of the sampling distribution of p? 8.) in an srs of size n, what is the standard deviation of the sampling distribution of p?
The size of a sample is related to the spread of the sampling distribution in that the larger the sample size, the less the spread.
As the sample size increases, the sampling distribution of p becomes increasingly concentrated around the true population proportion p. This is because, as the sample size increases, the number of possible random samples of size n becomes larger, making it more likely that the observed sample proportion will be close to the true population proportion.
The mean of the sampling distribution of p is p, which is the true population proportion. The standard deviation of the sampling distribution of p (σp) can be calculated using the formula:
σp = √((p)(1-p))/n
where p is the true population proportion and n is the sample size. This standard deviation indicates how closely the sample proportion is likely to match the true population proportion. The smaller the standard deviation, the more closely the observed sample proportion is likely to match the true population proportion.
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HELP pls will mark you the brainliest. Show your work.
Answer:
A
Step-by-step explanation:
The answers you have are in (x, y) form
Looking at first answer, -3 is the x and -1/2 is the y. We plug in the -3 as the x in each equation and hope to get -1/2.
So for (-3, -1/2)
y = 1/2(-3) + 1 = -3/2 + 1 = -1/2
Now the other equation
y = 3/2(-3) + 4 = -9/2 + 4 = -1/2
Since we got -1/2 as both. which is also the Y coordinate, this must be the answer. If it wasn't, we could keep going through the answer choices doing the same method.
someone is interested in studying property tax rates in the united states. he randomly selects 25 homes and looks up their property tax rate. he is interested in studying the center, shape and spread of the data. what type of graph does he make?
He is interested in studying the center, shape and spread of the data. He make histogram graph because it is the best since it demonstrates how the population is distributed.
A histogram is a graph that displays the frequency distribution of a small number of data points for a single variable. Frequently, histograms divide data into several "bins" or "range groups" and tally how many data points are in each bin.
A bar graph uses bars, columns, or strips to display facts, amounts, or numbers in a visual way.
To demonstrate how so much one factor influences others, scatter plots are used to display data points on the a vertical and horizontal axis.
A pie chart, also known as a circle chart, can be used to summarize a set of nominal data or to show the various values of a particular variable.
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The complete question is:
Someone is interested in studying property tax rates in the United States. He randomly selects 25 homes and looks up their property tax rate. He is interested in studying the center, shape and spread of the data. What type of graph does he make?
A. Histogram
B. Bar graphs
C. Scatterplots
D. Pie charts
and c) If the radius of a sphere a) Find the surface area and volume of the spheres given below. (iii) (i) (ii) 7 cm 6.3cm 42 cm.. can you help me to find the answers please
Solution
The surface area and volume of a sphere can be calculated using the following formulas:
Surface area: 4 * π * r^2
Volume: (4/3) * π * r^3
Where r is the radius of the sphere.
For the spheres given, the surface areas and volumes are:
(i) radius = 7 cm
Surface area: 4 * π * 7^2 = 4 * π * 49 = 196π cm^2
Volume: (4/3) * π * 7^3 = (4/3) * π * 343 = 588π cm^3
(ii) radius = 6.3 cm
Surface area: 4 * π * 6.3^2 = 4 * π * 39.69 = 158.48π cm^2
Volume: (4/3) * π * 6.3^3 = (4/3) * π * 251.187 = 447.938π cm^3
(iii) radius = 42 cm
Surface area: 4 * π * 42^2 = 4 * π * 1764 = 7056π cm^2
Volume: (4/3) * π * 42^3 = (4/3) * π * 74088 = 42672π cm^3
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Evaluate the expression if: a= 5 and b= -4
-20a+10b-15
Please help I have a learning disailty and this is due today.PLEASE PLEASE I DONT KNOW THE ANSWER AND SOOOOOOOOOOOO NEED THIS I WILL DO ANYTHING YOU WANT MARK YOU ASK A QUESTION SO YOU GET THE POINTS PLEASE I JUST REALLY NEED HELP.
Evaluate the numerical expressions by taking the bee through the maze.
Start at hexagon A. After you solve the expression find the answer in blue on the edge on the hexagon. The answer will lead you to your next hexagon.
Continue along the maze path until you reach the hexagon with an S in the flower. This is where you will finish.
To answer the questions below, type the letter in each hexagon that you solved along the maze in the order they were answered.
You do not need to include the starting hexagon (of A) or the end hexagon (of S). These are already written in the order below.
Use only capital letters when typing in the hexagon letter
______________________________________________
Starting hexagon A
Second hexagon solved _____________
Third hexagon solved _____________________
Fourth hexagon solved________________
Fifth hexagon solved_________________
Last hexagon S (flower)
The path the bee needs to follow is A, E, L, M, N for it to arrive to its destination or flower.
How to find the path?To find the correct path, let's start in the first hexagon and let's move according to the answers. Here is the process:
Hexagon A: [tex]2^{4}[/tex]
Hexagon E: 5 (4/4) = 5 x 1 = 5
Hegaxon L: [tex]5^{3}[/tex] = 5 x 5 x 5 = 125
Hexagon M: 10 - [tex]2^{3}[/tex] + 3 = 10 - 8 + 3 = 2 + 3 =5
Hexagon N: (20-15) [tex]3^{3}[/tex] + 4 = 5 x 27 + 4 =135+4= 139
You have arrived to the hexagen S that is the flower
Based on this, the path to follow is A, E, L, M, and finally N from the strat to the flower.
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eeeeeeeeeeeeeeeee3eeeeee
Answer:
23e+3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Which of the following describes the
function x+ - 3?
® The degree of the function is even, so the ends of the graph continue in the same direction. Because
the leading coefficient is positive, the left side of the graph continues up the coordinate plane and
the right side also continues upward.
® The degree of the function is even. so tne ends of the graph continue in the same direction. Because
the leading coefficient is negative, the left side of the graph continues down the coordinate plane and
the right side also continues downward.
The degree of the function is even, so the ends of the graph continue in opposite directions. Because
the leading coefficient is negative, the left side of the graph continues up the coordinate plane and
the right side continues downward.
O. The degree of the function is even, so the ends of the graph continue in opposite directions. Because
the leading coefficient iS positive, the left side of the graph continues down the coordinate plane and
the right side continues upward.
The answer choice that best describes the function x+ - 3 is D. The degree of the function is even, so the ends of the graph continue in opposite directions. Because the leading coefficient iS positive, the left side of the graph continues down the coordinate plane and the right side continues upward.
What is a Graph?The graph of a function f in mathematics is the collection of ordered pairs where f(x)=y.
These pairs are Cartesian coordinates of points in two-dimensional space and so form a subset of this plane in the typical situation when x and f(x) are real integers.
Given the function x+ - 3, the degre is even when plotted on a graph anf the left side of the graph continues down the coordinate plane and the right side continues upward.
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Deion is in the business of manufacturing phones. He pays a cost of $50 per phone produced for materials and labor and also must pay a daily fixed cost of $200 to rent the building and equipment. Make a table of values and then write an equation for � , C, in terms of � , p, representing total cost, in dollars, of producing � p phones in a given day.
Answer:
C = 200 + 50p
Step-by-step explanation:
Here's a table of values:
Number of phones (p) 0 1 2
Cost of materials and labor ($50p) 0 50 100
Total cost ($200 + $50p) 200 250 300
From the table, we can see that the total cost, C, is equal to the fixed cost of $200 plus the cost of materials and labor, which is $50 per phone produced. So, the equation representing the total cost in dollars of producing p phones in a given day is:
C = 200 + 50p
A function that consists of 5 connected line segments. From left to right, segment 1 begins at the origin and is horizontal, segment 2 goes up, segment 3 goes down, segment 4 goes back up, and segment 5 is horizontal. Select all the intervals over which this function is increasing. Interval 1 Interval 2 Interval 3 Interval 4 Interval 5
Answer:
Step-by-step explanation:19
You can't solve this question without further information of length and slope
Rewrite the equation in vertex form. Then find the vertex, focus, directrix, axis of symmetry, direction of opening, and y-intercept
y=x² +16x+58
Written in vertex form, the equation is y=(x+8)2-6.
the directrix of the parabola is the line ?
Vertex of parabola = (-8 , -6)
Focus of parabola = (-8 , -23/4)
Directrix of parabola is y = -25/4
Axis of symmetry of parabola is x = -8
Direction of opening of parabola is vertically upwards.
y - intercept = 58 unit
What is parabola?A parabola refers to an equation of a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line. The fixed point is called the focus of the parabola, and the fixed line is called the directrix of the parabola.
Given equation of parabola
y = x² + 16x + 58
It can be written as
y = x² + 16x + 64 - 6
y = (x + 8)² - 6
Comparing with standard vertex form
y = a(x - h)² + k
Vertex (h, k) = (-8 , -6), a = 1
a = 1/4(f - k)
1 = 1/4(f - -6)
4f + 24 = 1
f = -23/4
Focus (h , f) = (-8 , -23/4)
Directrix is y = d
Distance from the focus to the vertex is the same as the distance from the vertex to the directrix.
-6 - (-23/4) = d - (-6)
d = -6 -6 + 23/4
d = -12 + 23/4
d = -25/4
Directrix is y = -25/4
The axis of symmetry is the line perpendicular to the directrix that passes through the vertex and the focus:
x = -8
Direction of opening will be vertically upwards
For y-intercept, x = 0
y = (0 + 8)² - 6
y = 64 - 6
y = 58
Hence, (-8 , -6) is Vertex of parabola
(-8 , -23/4) is Focus of parabola
y = -25/4 is Directrix of parabola
x = -8 is Axis of symmetry of parabola
Direction of opening of parabola is vertically upwards.
58 unit is y - intercept
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pls help plssssss
it would really help
The size of the angle YZX is 19.7 degrees.
How to find the angles of a right triangle?A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.
Therefore, let's find the angle YZX in the right triangle as follows:
Hence using trigonometric ratios,
sin ∠Z = opposite / hypotenuse
sin ∠Z = 7.5 / 22.3
sin ∠Z = 0.33632286995
∠Z = sin⁻¹ 0.33632286995
∠Z = 19.6530010139
Therefore,
∠YZX = 19.7 degrees.
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You and 5 friends are going to see a movie. Each movie ticket costs $8. Complete the equation to show which operation to use and how much all the movie tickets will cost. Then complete the sentence to explain your reasoning.
Answer:
your total is $48
Step-by-step explanation:
8*6 (you plus five friends so six tickets and 8 dollars per ticket)
8 times 6 is 48
Try It
Given: AD
Prove: DE
D
BC and BCD =
CE
Hint
B
Angles Segments Triangles Statements Reasons
AAS
CPCTC
Statements
✓ 1. AD = BC
✓2. ZBCD =
3. DC DC
4. AADC = ABCD
5. LEDC ZECD
SAS
converse of isosceles triangle thm
Reasons
1. given
2. given
3. reflexive property
4. SAS
5. CPCTC
The required statements and reasons to prove that DE is equal to CE is explained.
What is a triangle congruence theorem?The triangle congruence theorem is a theorem that can be used to prove that two or more triangles are the same, considering the corresponding properties of the triangles. The properties are length of the sides, and measure of internal angles.
The statements and reasons to prove that DE is equal to CE are explained below using the triangle congruence theorem.
STATEMENT REASON
1. AD = BC Given
2. <BCD = <ADC Given
3. DC = DC Reflexive property
4. ΔADC ≅ ΔBCD SAS
5. <EDC ≅ <ECD CPCTC
6. AC = BD Definition of diagonal
7. DE = CE Congruent sides of isosceles triangle
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