Is The number of insects feeding on a tree leaf discrete or continious
Answers
The number of insects feeding on a tree leaf is a discrete variable.
The number of insects feeding on a tree leaf is a countable variable that can only take on integer values (0, 1, 2, 3, etc.). It cannot take on fractional or continuous values. This is because each insect can either feed on the leaf or not, and there cannot be a fractional or continuous number of insects feeding on the leaf.
Therefore, the number of insects feeding on a tree leaf is a discrete variable. This is in contrast to a continuous variable, which can take on any value within a certain range. For example, the weight of the insects on the leaf would be a continuous variable since it can take on fractional values.
In mathematical terms, the number of insects feeding on a tree leaf can be represented as a discrete random variable X, where X can take on any non-negative integer value.
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Related Questions
3.12 speeding on the i-5, part i: the distribution of passenger vehicle speeds traveling on the interstate 5 freeway (i-5) in california is nearly normal with a mean of 72.6 miles/hour and a standard deviation of 4.78 miles/hour. (a) what percent of passenger vehicles travel slower than 80 miles/hour?
Answers
Approximately 68.3% of passenger vehicles travel slower than 80 miles/hour.
What is the equation of the line with a gradient of −2 which passes through the point (3, −5)?
Answers
Answer:
y= mx + c
Step-by-step explanation:
y=mx+c
y= -2x+c
-5 = -2(3) +c
-5 = -6 +c
-5 + 6 = c
1 = c
therfore equation is y = -2x + 1
Find the measurement indicated in each parallelogram
7x-5 6x+5 each parallelogram
Answers
The value of the sides in the parallelogram will be 77°.
How to calculate the valueA parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size.
A quadrilateral with opposite sides that are parallel and equal is known as a parallelogram. The interior opposite angles of it are equal. Moreover, the angles on the same side of the transversal are complementary to one another or add up to 180 degrees.
Your answer should be in one variable equation by using the Y and W angle. They are equal if you match with the same angle size.
7x=6x+11
(7-6)x = 11
x = 11
We got the x value, so substitute into W angle :
7x
=7(11)
= 77
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A manufacturer of graphing calculators has determined that 11,000 calculators per week will be sold at a price of $98. At a price of $93, it is estimated that 13,150 calculators would be sold.
(a) Determine a linear function that will predict the number of calculators y that would be sold at a given price x.
(b) Use this model to predict the number of calculators that would be sold each week at a price of $73.
a: ______ b:______
Answers
Answer:
(a) To determine the linear function that predicts the number of calculators sold at a given price, we need to find the equation of the line that passes through the points (98, 11,000) and (93, 13,150).First, we can find the slope of the line using the formula:slope = (change in y) / (change in x)slope = (13,150 - 11,000) / (93 - 98)slope = -430 per 1 dollar decrease in price(Note that we can interpret the negative slope as an inverse relationship between price and quantity demanded. As price decreases, the quantity demanded increases.)Next, we can use the point-slope form of a line to find the equation of the line:y - y1 = m(x - x1)where y1 = 11,000, x1 = 98, and m = -430.y - 11,000 = -430(x - 98)Simplifying and solving for y, we get:y = -430x + 51,340Therefore, the linear function that predicts the number of calculators sold at a given price is:y = -430x + 51,340(b) To predict the number of calculators that would be sold each week at a price of $73, we can substitute x = 73 into the linear function we found in part (a):y = -430(73) + 51,340y = 18,140Therefore, we predict that 18,140 calculators would be sold each week at a price of $73.
Roberto' employer offer a liding paid vacation. When he tarted work, he wa given three paid day of vacation. For each ix-month period he tay at the job, hi vacation i increaed by two day. Let x repreent the number of 6-month period worked and y repreent the total number of paid vacation day. Write an equation that mode the relationhip between thee two variable
Answers
An equation that mode the relationship between thee two variable is y=2x+3 .
Let x represent the number of 6-month period worked
Let y represent the total number of paid vacation day
According to the question,
When he started work, he was given three paid day of vacation. For each six-month period he pay at the job, his vacation is increased by two day.
Each year has 2 six-month periods. After 4.4 years Roberto will have worked 8.8 six-month periods. He will have been given vacation days for each of the 8 whole working periods he has completed. x=8 y=2*8+3 y=19
An equation that mode the relationship between thee two variable is y=2x+3 (Total vacation time equals 2 days times x plus the 3 days he was given at the start).
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Maki uses 20 gallons of a solution with an unknown ethanol concentration and 60 gallons of a 12% ethanol solution to make 80 gallons of a 10% solution. The table shows the amount of each solution. A table titled Ethanol Mixture, showing Gallons, Ethanol Concentration, and Total. The first row shows x percent Ethanol, 20, x, and blank. The second row shows, 12 percent Ethanol, 60, 0.12, and 7.2 The third row shows Mixture, with 80, 0.10, and blank. What is the value of x, the concentration of the unknown ethanol solution? 0.02 0.04 0.05 0.08
Answers
Answer:
4%
Step-by-step explanation:
We can write the following equation:
20 * (x / 100) + 60 * 0.12 = 80 * 0.10 (Note that since we're writing the percentages as decimals, x% becomes x / 100 as a decimal.)
x / 5 + 7.2 = 8
x / 5 = 0.8
x = 4%
Answer:
Its B. on edge
Step-by-step explanation:
got it right on my test
Please help me. 25 points.
Answers
2/2 = 4.5/2 = 2.25 feet
Which means, if we add the product and quotient up, we’ll get 20.25 feet for the total height.
I believe it’s already rounded up.
Pls Help Me With This Math Question :,>
Answers
Answer:
Factor the numerator and denominator and cancel the common factors. 2x -2.1
Suppose vanguard brokerage services developed new software to increase their speed of execution rating. if the new software is able to increase their speed of execution rating from the current value of to the average speed of execution rating for the other brokerage firms that were surveyed, what value would you predict for the overall satisfaction rating?
Answers
It's generally reasonable to assume that enhancing the speed of execution can positively impact customer satisfaction. Quicker order executions can lead to reduced slippage, improved trade efficiency, and a better overall trading experience. Customers often value fast and reliable execution when it comes to brokerage services.
To determine the potential impact on overall satisfaction rating, several factors would need to be considered, including but not limited to:
Other aspects of the brokerage service: Speed of execution is just one aspect of brokerage services. Factors like customer support, platform usability, account management features, pricing, research tools, and investment options also contribute to overall satisfaction. Improving one aspect may not guarantee a significant increase in overall satisfaction if other areas remain unchanged.
Individual preferences and priorities: Different customers prioritize different features in their brokerage services. While some might highly value speed of execution, others may focus on different aspects such as cost-effectiveness, available investment options, or educational resources. The impact on overall satisfaction would depend on how important speed of execution is to the customer base as a whole.
Competitors' performance: The competitiveness of the market plays a role in shaping customers' expectations. If the average speed of execution rating for other surveyed brokerage firms is relatively high, matching that average may positively impact satisfaction. However, if the sector's overall speed of execution rating is generally low, merely reaching the average might not suffice to significantly boost satisfaction.
It's essential for brokerage firms to consider these factors comprehensively and conduct customer surveys or market research to assess the potential impact on overall satisfaction accurately.
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determine whether the random variable described is discrete or continuous. a) the number of songs on a randomly chosen ipod [ select ] b) the number of people in line at the bank at a randomly chosen time [ select ] c) the time it takes to drive to the airport [ select ] d) the amount of rain during the next thunderstorm [ select ]
Answers
The variables for this problem are classified as follows:
a) The number of songs on a randomly chosen ipod is discrete.
b) The number of people in line at the bank at a randomly chosen time is discrete.
c) The time it takes to drive to the airport is continuous.
d) The amount of rain during the next thunderstorm is continuous.
What are continuous and discrete variables?Variables are classified as continuous or discrete depending if they can assume decimal values, as follows:
Continuous variables: Can assume decimal values.Discrete variables: Assume only countable values, such as 0, 1, 2, 3, …More can be learned about discrete and continuous variables at https://brainly.com/question/3130222
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Hi! I was shown the problem integral -3/sqrt(64-9x^2)dx but a classmate and was wondering if someone could explain it again. This is the work they showed me
Answers
From the problem, we have :
\(\int -\frac{3}{\sqrt[]{64-9x^2}}dx\)We need to think of a square number that if we multiply it by 9, the result is 64.
That would be 64/9
\(9\times\frac{64}{9}=64\)The square root of 64/9 is 8/3.
Let u = 3x/8
8u = 3x
x = 8u/3 (This value is the same as we've got above 8/3)
du = 3/8 dx
dx = 8/3 du
Subsitute x = 8u/3 and dx = 8/3 du
\(\begin{gathered} \int -\frac{3}{\sqrt[]{64-9(\frac{8u}{3})^2}}\times\frac{8}{3}du \\ \Rightarrow\int -\frac{8}{\sqrt[]{64-9(\frac{64}{9}u^2)}}du \\ \Rightarrow\int -\frac{8}{\sqrt[]{64-64u^2}}du \end{gathered}\)Extract the square root of 64 which is equal to 8.
\(\begin{gathered} \Rightarrow\int -\frac{8}{\sqrt[]{64-64u^2}}du \\ \Rightarrow\int -\frac{8}{8\sqrt[]{1-u^2}}du \\ \Rightarrow\int -\frac{1}{\sqrt[]{1-u^2}}du \end{gathered}\)Note that the identity :
\(\int \frac{1}{\sqrt[]{1-u^2}}du=\sin ^{-1}(u)+C\)It follows that :
\(\int -\frac{1}{\sqrt[]{1-u^2}}du=-\sin ^{-1}(u)+C\)Bring back u = 3x/8, the answer is :
\(-\sin ^{-1}(\frac{3x}{8})+C\)similar triangles and polygons worksheet
help with number 1
Answers
Pls help me with this
Answers
Answer:
Answers in attached photo.
Step-by-step explanation:
SolutionSteps are in the attached photo, do note that to ensure the inequality sign are always constant throughout the entire working, otherwise one wrong line will result incorrect answers below it.
What is the first step in evaluating an expression for given variable values?
Answers
Answer:
You need to make the variable common by multiplying similar variable.
This is the first step.
Abox of twelve granola bars was $3.60. What was the unit cost per bar?
Answers
Answer:
cost of 12 bars = $3.60
cost of 1 bar = $3.60 ÷ 12
= $0.3
hope it helps
have a nice day
Answer:
$0.30
Step-by-step explanation:
12 granola bars = $3.60
1 granola bars = $3.60/12 = $0.30
What i the range of the variable x
X 2 4 6 8 10 12
p (x) 0. 10 0. 20 0. 15 0. 10 0. 12 0. 25
A. 2
B. 10
C. 8
D. 12
Answers
Answer:
B.10
Step-by-step explanation:
Because it increases by 10
A container is being filled with water at a steady rate. The graph shows how the volume of water in the container varies with the amount of time since the container began filling. We see that there are 4 gallons of water in the container when the container has been filling for 5 minutes. a. Define a formula to determines the volume (in gallons) of water in the container, v , in terms of the number of minutes, t, since the container began to fill.
Answers
Answer: a. \(v=\dfrac{2}{3}t\) and b. \(t=\dfrac{3}{2}v\).
Step-by-step explanation:
Let as consider,
Volume (in gallons) of water in the container = v
The number of minutes = t
(a)
From the given graph it is clear that the line passing through the points (0,0) and (3,2). So, the equation of line is
\(v-v_1=\dfrac{v_2-v_1}{t_2-t_1}(t-t_1)\)
\(v-0=\dfrac{2-0}{3-0}(t-0)\)
\(v=\dfrac{2}{3}t\)
Therefore, the required formula is \(v=\dfrac{2}{3}t\).
(b)
We have,
\(v=\dfrac{2}{3}t\)
Multiply both sides by 3/2.
\(v\times \dfrac{3}{2}=\dfrac{2}{3}t\times \dfrac{3}{2}\)
\(\dfrac{3}{2}v=t\)
\(t=\dfrac{3}{2}v\)
Therefore, the required formula is \(t=\dfrac{3}{2}v\).
a). Formula for the volume of water in the container → \(V=\frac{2}{3}t\)
b). Formula for the time in terms of volume → \(t=\frac{3}{2}V\)
Given in the question,
2 gallons of the water is filled in 3 minutes.Graph shows there was no water in the tank at t = 0.a). From the graph attached,
Slope of the line 'm' = \(\frac{\text{Rise}}{\text{Run}}\)
= \(\frac{2}{3}\)
Slope of the line on the graph represents the volume of
water per minute.
Equation of a line passing through origin is given by,
y = mx
If y = Volume (V) and x = Time (t)
Therefore, equation for the graph will be → \(V=\frac{2}{3}t\)
b). For the value of 't',
\(\frac{3}{2}\times V=\frac{2}{3}t\times \frac{3}{2}\)
\(t=\frac{3}{2}V\)
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Simplest radical form
Answers
Answer:
\(4 \sqrt{5} \)
☽------------❀-------------☾
Hi there!
~
\(4\sqrt{5}\)
⇒Using the law of radicals
\(\sqrt{a}\) × \(\sqrt{b}\) ⇔ \(\sqrt{ab}\)
⇒ \(\sqrt{80}\)
⇒ \(\sqrt{16} \times 5\) \(= \sqrt{16}\) × \(\sqrt{5}\) \(= 4\sqrt{5}\)
❀Hope this helped you!❀
☽------------❀-------------☾
I NEED HELP ASAP
A zucchini plant in Darnell’s garden was 12 centimeters tall when it was first planted. Since then, it has grown approximately 0.5 centimeter per day.
a. Write a rule to describe the function.
b. After how many days will the zucchini plant be 0.195 meter tall?
A. h(d) = 12d + 0.5; 1.3 days
B. h(d) = \(\frac{d}{0.5}\)+12; 4 days
C. h(d) = 0.5d; 39 days
D. h(d) = 0.5d +12; 15 days
Answers
Answer:
a) 12 + 0.5d d=day
b) 0.195/0.5=0.39d
Step-by-step explanation:
Answer
(a) Find out the a rule to describe the function.
To prove
Let us assume that the days be represted by d .
Let us assume that the height of plant be represted by y.
As given
A zucchini plant in Darnell’s garden was 12 centimeters tall when it was first planted.
it has grown approximately 0.5 centimeter per day.
Than the function becomes
y = 12 + 0.5 × d
y = 12 + 0.5d
(b) Find out after how many days will the zucchini plant be 0.195 meter tall .
To prove
Let us assume that the days be represted by d .
As given
A zucchini plant in Darnell’s garden was 12 centimeters tall when it was first planted.
it has grown approximately 0.5 centimeter per day.
As
1meter = 100cm
0.195 meter convert into centimeter.
= 19.5cm
Than the equation becomes
12 + 0.5d = 19.5
0.5d = -12 + 19.5
0.5d = 7.5
d = 15 days
Therefore 15 days will the zucchini plant be 0.195 meter tall .
4. Jose has $1500 in his bank account. He spends $150 each week. Which equation can be used to
Find the amount of money left in Jose's bank account after x, weeks of spending?
Answers
Answer:
1500/150 = x
Step-by-step explanation:
If he has $1500 in the bank and spends $150 a week, you have to solve how many weeks that is, which is x. So you would have divison. You're answer would be 1500/150 = x, I believe.
Therefore, the equation x weeks = $150x is the answer.
Hoped this helped.
\(BrainiacUser1357\)
Which parent functions have no symmetry?
Cubic
Quadratic
Greatest Integer
Square Root
Exponential
Rational
Linear
Absolute Value
Answers
Answer:
Square Root, Greatest Integer
Step-by-step explanation:
Functions can be symmetrical in two ways: They can be symmetrical across a line or symmetrical across a point.
In a Square root function, when reflected across the y-axis, the graph has no symmetry because -x returns a different value when plugged into the function.
For a Greatest Integer function, with \(\lfloor x \rfloor\), if we change the value of x to -x and we floor -x, we get a different value than the original.
Hope this helped!
A $44,200.00 principal earns 5% interest, compounded annually. After 4 years, what is the balance in the account? Round to the nearest cent.
Answers
The balance amount at the end of 4 years in the account will be $53275
Principal amount= $44200
Rate of interest = 5% compounded annually
Number of years amount is invested for: 4 years
The formula for compound interest is given by:
A = P(1 + r/100)^n
where A = Final amount
P = principal amount invested
r = Rate of interest annually
n = number of years amount is invested
Putting the values in the formula we get:
A = 44200(1 + 5/100)^4
= 44200(1.05)^4
=44200*1.21
Amount at end of 4 years= 53725.37 or 53725
So, the balance amount at the end of 4 years in the account will be $53275
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Three boys cut out hundredths decimal models. Luke shades three fourths of one model. Owen shades four small squares of one model. Jacob shades two full models and nine tenths of another model. What decimal represents the amount each boy shades?
Answers
Answer:
Luke = 0.75
Owen = 0.04
Jacob = 2.9
Step-by-step explanation:
A model = 100 small squares
100 small squares = 1
Luke shades three fourths of one model.
Luke = 3/4 of 1 model
= 3/4 × 1
= 0.75
Owen shades four small squares of one model.
Owen = 4/100
= 0.04
Jacob shades two full models and nine tenths of another model
Jacob = 2 + 9/10
= 2 + 0.9
= 2.9
Luke = 0.75
Owen = 0.04
Jacob = 2.9
The high temperature for the day was 13 degrees F. The difference between the high and low temperature was 16 degrees F. What was the low temperature?
Answers
Answer:
the answer is 29 degrees F i am a you tuber please subscribe to nikolys on you tube
Step-by-step explanation:
consider the quadratic function y equals short dash x squared plus 6 x minus 5. what do we know about the graph of this quadratic equation, based on its formula?
Answers
Based on the formula of the quadratic function y=-x^2+6x-5, we know that its graph is a downward-facing parabola that opens wide, with a vertex at (3,-14), and an axis of symmetry at x=3.
Based on the formula of the quadratic function y=-x^2+6x-5, we can determine several properties of its graph, including its shape, vertex, and axis of symmetry.
First, the negative coefficient of the x-squared term (-1) tells us that the graph will be a downward-facing parabola. The leading coefficient also tells us whether the parabola is narrow or wide. Since the coefficient is -1, the parabola will be wide.
Next, we can find the vertex using the formula:
Vertex = (-b/2a, f(-b/2a))
where a is the coefficient of the x-squared term, b is the coefficient of the x term, and f(x) is the quadratic function. Plugging in the values for our function, we get:
Vertex = (-b/2a, f(-b/2a))
= (-6/(2*-1), f(6/(2*-1)))
= (3, -14)
So the vertex of the parabola is at the point (3,-14).
Finally, we know that the axis of symmetry is a vertical line passing through the vertex. In this case, it is the line x=3.
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What is the basic ratio of red to white for a paint mixture
of 14 pints of red paint and 35 pints of white paint?
Answers
As part of a large poster, a graphic designer dilates a rectangular image so its length in the poster is 46 inches and its width is 21 inches. The original image has dimensions that are 3/8 of the dimensions of the image in the poster. What is the width of the original image?
(A) 2 inches (c) 101 inches
(B) 7 7/8 inches (D) 17 1/4 inches
Answers
Answer:
B
Step-by-step explanation:
21 inches to 7 inches
The width of the original image is B) \(7\frac{7}{8}\) inches.
Given that: The width of the large poster is 21 inches.
Given that: The original image has dimensions that are 3/8 of the dimensions of the image in the poster.
So the width of the original image is = \(\frac{3}{8}\cdot21=\frac{63}{8}=7\frac{7}{8}\)
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Take the first 4 digits of your student number as the first number and the last 3 digits as the second number. Write the matlab code to find the greatest common divisor of these numbers using the Euclidean algorithm.
Answers
The required Matlab code to find the greatest common divisor of a number using the Euclidean algorithm is shown.
To find the greatest common divisor (GCD) of two numbers using the Euclidean algorithm in MATLAB, you can use the following code:
% Replace '12345678' with your actual student number
studentNumber = '12345678';
% Extract the first 4 digits as the first number
firstNumber = str2double(studentNumber(1:4));
% Extract the last 3 digits as the second number
secondNumber = str2double(studentNumber(end-2:end));
% Find the GCD using the Euclidean algorithm
gcdValue = gcd(firstNumber, secondNumber);
% Display the result
disp(['The GCD of ' num2str(firstNumber) ' and ' num2str(secondNumber) ' is ' num2str(gcdValue) '.']);
Make sure to replace '12345678' with your actual student number. The code extracts the first 4 digits as the first number and the last 3 digits as the second number using string indexing. Then, the gcd function in MATLAB is used to calculate the GCD of the two numbers. Finally, the result is displayed using the disp function.
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Two lions, Fluffy and Fireball, met at the zoo. Fluffy tail is 1 1/3 of a meter long. Fireball's tail is 1 1/4 of a meter long.
How much longer is Fluffy's tail than Fireball's tail?
Answers
Answer:
Fluffy's tail is 1/12 of a meter longer than Fireball's tail.
Step-by-step explanation:
1 1/3 - 1 1/4 = x
get common denominator (12)
1 4/12 - 1 3/12 = 1/12
Some friends played a board game. During the game, one unlucky player had to move back 8 spaces 5 turns in a row. Find a number to represent that player's movements for those 5 turns.
NEXT
A football team loses 8 yards on each of 4 consecutive plays. Find the total change in yards from where the team started.
The total change is
nothing yards. plsssssssssssssssssssssssssssss help. their i raised the points'
Answers
Answer:
I think that it would be -40
Step-by-step explanation:
I think this because they had to go back 40 spaces because 8 x 5 = 40.
The required number is 40 which represents that player's movements for those 5 turns.
Given that,
Some friends played a board game. During the game, one unlucky player had to move back 8 spaces 5 turns in a row.
To determine the number to represent that player's movements for those 5 turns.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
For every turn, he has back 8 spaces
To the number of spaces back in 5 turns,
Total spaces back = 5 * 8
= 40
Thus, the required number is 40 which represents that player's movements for those 5 turns.
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