In order to estimate the population of bass in a pond, the number of bass is countedin a 1,000 cubic meter sample of the pond.At a pond with dimensions of 80 meters X 50 meters X 10 meters, 11 bass arecounted in a 1,000 cubic meter sample. What is the estimated bass population inthis pond?
From the statement, we know that:
• 11 bass are counted per 1,000 cubic meter sample, we have the ratio r = 11 bass/1,000 m³,
,• we have a pond with dimensions a = 80 m, b = 50 m and c = 10 m.
1) The volume of the pond is:
\(V=a\cdot b\cdot c=(80m)\cdot(50m)\cdot(10m)=40,000m^3.\)2) The total number of bass is given by the product:
\(N=r\cdot V=\frac{11bass}{1,000m^3}\cdot40,000m^3=440bass.\)Answer
The estimated bass population in the pond is 440 bass.
The interquartile range is the length that contains the middle ___ (what?) of the values in a data set
Answer:
50%Step-by-step explanation:
The interquartile range is the difference between Q3 and Q1.
Since Q3 = 75% mark and Q1 = 25% mark, this range is representing the data between those 2 marks:
IQR = 75% - 25% = 50%The blank is 50%
Help
Identify the equation that represents a quadratic relationship
y =4x^2
y =4x^4
y =4x^3
y =4
The equation that represents a quadratic relationship is y = 4x^2. Option A.
A quadratic relationship is a mathematical relationship where the variable y is a function of the variable x raised to the power of 2. In other words, it is an equation in which the highest power of the variable is 2.
Let's analyze the given equations:
1. y = 4x^2: This equation represents a quadratic relationship because the variable x is raised to the power of 2. The term 4x^2 indicates that the relationship between x and y is quadratic.
2. y = 4x^4: This equation represents a quartic relationship, not a quadratic relationship. The variable x is raised to the power of 4, which indicates a higher degree relationship than quadratic.
3. y = 4x^3: This equation represents a cubic relationship, not a quadratic relationship. The variable x is raised to the power of 3, indicating a higher degree relationship.
4. y = 4: This equation represents a linear relationship, not a quadratic relationship. It is a constant equation where y is always equal to 4, regardless of the value of x. In a quadratic relationship, the variable x should have a power of 2. Option A.
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SECOND: Now using StatKey (using at least 5,000 simulated samples) find the p-value in each case above and indicate whether (at a 5% level) there is evidence that the coin is biased. If you are working in a group, consider divide and conquer, before discussing results. Examine the results from the p-values. Consider each of the factors below. Decide whether or not each has an impact on whether or not a sample proportion shows significance. 1. The sample size 2. The sample proportion 3. The number of simulated samples in the randomization distribution
The sample size and sample proportion have a substantial impact on whether a sample proportion shows significance, while the number of simulated samples plays a lesser role, as long as an adequate number of simulations are performed (such as 5,000 or more).
To find the p-value using StatKey with at least 5,000 simulated samples and determine whether there is evidence that the coin is biased at a 5% significance level, follow these steps:
1. Determine the sample size (n), sample proportion (p), and number of simulated samples (at least 5,000).
2. Use StatKey to perform the simulation. Input the sample size, sample proportion, and number of simulated samples in the randomization distribution settings.
3. Obtain the p-value from the output generated by StatKey. The p-value represents the proportion of simulated samples with a sample proportion as extreme or more extreme than the observed one.
4. Compare the p-value with the 5% significance level. If the p-value is less than or equal to 0.05, there is evidence that the coin is biased, and you reject the null hypothesis. If the p-value is greater than 0.05, there is not enough evidence to suggest the coin is biased, and you fail to reject the null hypothesis.
Now, let's consider each factor's impact on whether a sample proportion shows significance:
1. The sample size: A larger sample size increases the power of the test and makes it more likely to detect a significant effect if one exists. Smaller sample sizes may not provide enough information to accurately assess whether the coin is biased or not.
2. The sample proportion: A sample proportion farther from the expected value (0.5 for a fair coin) makes it more likely to find significance, as the difference between the observed proportion and the expected proportion is larger.
3. The number of simulated samples in the randomization distribution: Using a larger number of simulated samples increases the accuracy of the p-value estimate. However, once a certain threshold is reached (e.g., 5,000 samples), additional simulations have diminishing returns and do not significantly impact the p-value or the test's conclusions.
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Find equilibrium price and equilibrium quantity
Qd =3-P
Qs=6p-4
Need help with math problem if do get 5 star
Answer:
1. - 15 1/2 feet
2. 62 3/4 feet
3. 0 feet
Step-by-step explanation:
1. Descend means negative, so the answer needs to have a negative sign.
2. Above sea level means positive, so the answer needs to have a positive sign.
3. There is no change in position, so the answer needs to be 0.
hope this helps and is right!! p.s. i really need brainliest :)
Which of the following is not a function
Answer:
2nd graph
Step-by-step explanation:
no x's are doubled
Is the following relation a function?
Yes
or
No
Answer:
no
Step-by-step explanation:
Answer:
I think that it is yes but not sure
one angle has twice as many degrees as another angle the um of the degrees in both angles is 150 degrees if n represents the smaller angle how many degrees are in that angle?
Answer:
60°
Step-by-step explanation:
Two angles are complementary if one of the angles is double the other angle find the two angles
Complementary angles mean that the two angles, when added together, equal 90°. Let's call the first angle x, and its second, complementary angle 2x. So, we have x + 2x = 90. ... The second angle, 2x, is just twice the first angle, so its measurement is 60°.
Select all the correct answers.Consider the graph of the function (=) = log, I.Y443212X0246810-1-1-27What are the features of function gif g(x) = -f(1) - 120 2021 Edmentum. All rights reserved.
First, find an expression for g(x):
\(\begin{gathered} f(x)=\log _2(x) \\ g(x)=-f(x)-1 \\ =-\log _2(x)-1 \end{gathered}\)The x-intercept of g(x) is a number such that g(x)=0. Then:
\(\begin{gathered} -\log _2(x)-1=0 \\ \Rightarrow-1=\log _2(x) \\ \Rightarrow\log _2(x)=-1 \\ \Rightarrow x=2^{-1} \\ \Rightarrow x=\frac{1}{2} \end{gathered}\)Then, the coordinates of the x-intercept are:
\((\frac{1}{2},0)\)The domain of g is the set of all values that x can take. The domain of a logarithm is the set of all positive numbers. Then, the domain of g is:
\((0,\infty)\)The y-intercept is the value of the function when x=0. Since 0 is not in the domain of g, then, g does not have a y-intercept.
The sum of two integers is 44. The difference of the two integers is 8.
What is the smaller integer?
Answer:
18
Step-by-step explanation:
44/2=22
the difference between the two numbers= 8
8/2=4
(22-4) + (22+4) = 18+26 = 44
the smaller number = 18
Answer:
The smaller integer is 18.
Step-by-step explanation:
x is the larger integer, and y is the smaller integer.
x + y = 44
x - y = 8
For x - y = 8, add y to both sides and get x = 8 + y.
Change x in x + y = 44 for 8 + y.
8 + y + y = 44
8 + 2y = 44
2y = 36
y = 18
I need help on this one
Find the selling price.
Cost To Store: $50
Markup: 10%
The selling price is $blank
The selling price of the item at 10% marlkup is $55
Finding the selling price of the itemFrom the question, we have the following parameters that can be used in our computation:
Cost To Store: $50Markup: 10%Using the above as a guide, we have the following:
Selling price = Cost To Store * (1 + Markup)
substitute the known values in the above equation, so, we have the following representation
Selling price = 50 * (1 + 10%)
Evaluate
Selling price = 55
Hence the selling price of the item is $55
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Marco is investigating some of the business models of SureSpin, one of Faster Fidget's top competitors.
He has learned that they model their cost of production for one type of spinner with the function C(x) =13,450 + 1.28x, where x is the number of spinners produced. Interpret the model to complete the
statement.
Type the correct answer in each box. Use numerals instead of words. Based on the model, the fixed cost of production is $?
Answer:
$13,450
Step-by-step explanation:
The fixed cost of production is $13,450, this is because a fixed cost of production is the amount of cost that does not change with an increase or decrease in the amount of the goods or services produced. Fixed cost of production are paid by companies. It is one of the two component of the total cost of goods or services along with the variable cost.
In regard to the information given in the question, no matter how many spinners the company produces, the fixed cost will remain the same.
Assuming x is the variable cost which signifies the number of spinners produced, this literally implies that the cost to produce each spinner is $1.28 and the fixed cost which is independent of the production is $13,450.
Hence, the fixed cost of production is $13,450.
I'll MARK THE BRAINLIEST!
The line plots show the results of a survey of 10 boys and 10 girls about how many hours they spent reading for pleasure the previous week. A) Which statement is true about the range? B) Which statement is true about the mean?
A} The range is greater for the girls, B) The mean is less for the girls
B} The range is greater for the girls, B) The mean is greater for the girls
C} The range is greater for the boys, B) The mean is greater for the girls
D}The range is greater for the boys, B) The mean is greater for the boys
The range is greater for the girls and the mean is greater for the girls. So, correct option is B.
A) The statement "The range is greater for the girls" is true. The range is the difference between the highest and the lowest values in a data set.
Looking at the line plots, the highest value for the boys is 10, and the lowest is 3, giving a range of 7 hours. The highest value for the girls is 9, and the lowest is 5, giving a range of 4 hours. Therefore, the range is greater for the boys.
B) The mean is the sum of all values divided by the total number of values. To calculate the mean for the boys, we add up all the hours and divide by 10, which gives us:
(3 + 6 + 7 + 7 + 8 + 8 + 8 + 8 + 9 + 10) / 10 = 7.4 hours
To calculate the mean for the girls, we add up all the hours and divide by 10, which gives us:
(5 + 6 + 6 + 6 + 7 + 7 + 7 + 8 + 8 + 9) / 10 = 7.1 hours
Therefore, the mean for the boys is 7.4 hours and the mean for the girls is 7.1 hours, so the statement "The mean is greater for the girls".
So, correct option is B.
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A copper plate is in the shape of an isosceles triangle with a base of 34 inches. The perimeter of the plate is 110 inches. How long is each of the equal sides of the plate
Answer:
An isosceles triangle has 2 equal sides. If the perimeter is 110 inches, and your base is 34 inches, subtract the base from the total perimeter. 110-34= 76. If 2 sides have to be equal, the total length of the 2 sides is 76 inches, divide the 2 lengths by 2 to get the measure of each side individually. 76÷2=38.
Hence, your answer is each of the equal sides of the plate equals 38 inches.
Hope this helps!
hay 1230 personas, entre hombres y mujeres. Si se sabe que el número de mujeres, supera en 150 al número de hombres. ¿Cuántos hombres están habitando la mini ciudad?
There are 540 men living in the mini city.
x + (x + 150) = 1230
Simplifying this equation, we get:
2x + 150 = 1230
Subtracting 150 from both sides, we get:
2x = 1080
Dividing both sides by 2, we get:
x = 540
Therefore, there are 540 men living in the mini city.
To check our answer, we can substitute x = 540 into our original equation:
540 + (540 + 150) = 1230
690 = 1230
This is false, so there must be an error in our calculation. We can double-check our work by trying a different approach.
We know that the number of women exceeds the number of men by 150, so we can represent the number of women as (x + 150). We also know that the total number of people is 1230, so we can set up an equation:
x + (x + 150) = 1230
Simplifying this equation, we get:
2x + 150 = 1230
Subtracting 150 from both sides, we get:
2x = 1080
Dividing both sides by 2, we get:
x = 540
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Use substitution to solve the system of equations algebraically.
x2 + y2 = 32
y = x
One solution to the system of equations is (–4, –4).
The other solution to the system of equations is _______
Answer:
The other solution to the system of equations is : (4,4)
Step-by-step explanation:
\(x^{2}}+y^{2} =32 \\y=x\\\\x^{2} +x^{2} =32\\2x^{2} =32\\x^{2} =16\\\\x=4 Or x=-4\\y=4 Or y=-4\)
Answer:
(4, 4)
Step-by-step explanation:
Convert 506 minutes to hours and minutes.
Answer:
8 hours and 26 minutes
Step-by-step explanation:
To convert 506 minutes to hours and minutes, we can use the fact that there are 60 minutes in one hour.
First, we can divide 506 by 60 to find the number of hours:
506 ÷ 60 = 8 with a remainder of 26
This means that 506 minutes is equal to 8 hours and 26 minutes.
Therefore, the conversion of 506 minutes to hours and minutes is:
8 hours and 26 minutes
RS¯¯¯¯¯¯ bisects ∠QRT. If m∠QRT = 116°, what is m∠QRS?
A. 26°
B. 232°
C. 64°
D. 58°
Answer:
D. 58
Step-by-step explanation:
pretty easy clap
bisecting is midpoint which makes the two angles congruent
Choose the best estimate for the quotient. - See image inserted
Answer:
≈0.694 or rounded to 0.7
Step-by-step explanation:
4.06/5.85≈0.694
(02.02 MC)
If trapezoid ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A′′′ lie?
Trapezoid formed by ordered pairs A at negative 4, 1, B at negative 3, 2, C at negative 1, 2, D at 0, 1.
(1, −1)
(−4, 1)
(1, 1)
(−4, −1)
The location of point A''' after the three transformations would be (-4, 1).
To determine the location of point A''', we need to apply the three transformations (reflection over the y-axis, reflection over the x-axis, and rotation of 180°) to point A.
When a point is reflected over the y-axis, the x-coordinate is negated while the y-coordinate remains the same.
So, the reflection of point A (-4, 1) over the y-axis would be (4, 1).
When a point is reflected over the x-axis, the y-coordinate is negated while the x-coordinate remains the same. So, the reflection of point (4, 1) over the x-axis would be (4, -1).
When a point is rotated 180°, the x-coordinate and y-coordinate are both negated. So, the rotation of point (4, -1) by 180° would be (-4, 1).
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urgent help needed algebra 2
The solution of the given equation (x + 5) - ( 2x - 3) = 6 is 2.
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1.
The standard form of a linear equation is of the form Ax + B = 0.
The given equation is;
(x + 5) - ( 2x - 3) = 6
To solve;
(x + 5) - ( 2x - 3) = 6
Distribute the negative;
(x + 5) - 2x + 3 = 6
we need to get the like terms together;
x - 2x + 5+ 3 = 6
-x + 8 = 6
Subtract 8 from both sides, we get;
-x = -2
x = 2
Hence, the solution of the given equation is 2.
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Please help me I suck at math
Answer:
She should multiply by 10
Given −16.98(5.2), find the product.
−882.96
−88.296
−15.282
11.886
Answer: 882.96
Step-by-step explanation:
The product of -16.98 and 5.2 is -88.296.
The given expression is -16.98 multiplied by 5.2. To find the product, multiply the two numbers:
-16.98 * 5.2 = -88.296.
Therefore, the product of -16.98 and 5.2 is -88.296. The correct answer is -88.296, which matches the second option. When multiplying a negative number by a positive number, the result is negative. The calculation involves multiplying the absolute values (16.98 and 5.2) and then assigning the negative sign to the product. In this case, the product is -88.296, as it accurately represents the multiplication of -16.98 and 5.2.
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PLEASE HELP ME PLEASE!
The scale on a map is 1 inch = 40 miles. If two towns are 90 miles apart, how far apart on the map should they be?
please help
Answer: 2.25
Step-by-step explanation: This is because 2.25*40 is 90
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Geometry need help asap
On solving the provided question, we can say that - here in quadrilateral we have x + 146 + 47 + y = 360 => \(x= 83.5\)
what is quadrilateral?A quadrilateral is a four-sided polygon in geometry that has four edges and four corners. The word is a derivative of the Latin words quadri and latus (meaning "side"). Having four sides, four vertices, and four corners, a rectangle is a two-dimensional form. Concave and convex come in primarily two varieties. Additionally, there are several subclasses of convex quadrilaterals, including trapezoids, parallelograms, rectangles, rhombuses, and squares. Four straight sides make up a rectangle, which is a two-dimensional form. There are several different types of quadrilaterals, including parallelograms, trapezoids, rectangles, kites, squares, and rhombuses.
here,
x + 146 + 47 + y = 360
2x + 193 = 360
2x = 167
\(x= 83.5\)
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56 points! Complete each proof using the most appropriate method.
The triangles given are congruent as shown below.
What is Congruence of Triangles?Two or more triangles are said to be congruent if and only if sides and angles of one triangle is equal to the corresponding sides and angles of another triangle.
1) KL = LN [Since L is the midpoint of KN]
ML = LP [ Since L is the midpoint of MP]
∠MLK = ∠MLP [Vertically opposite pair of angles are equal.]
ΔMKL ≅ ΔPNL [Using the SAS Congruence Rule]
2) ∠BAD = ∠BCD [Given]
∠ABD = ∠CBD [Since BD bisects ∠ABC]
BD = BD [Common side]
ΔABD ≅ ΔCBD [Using AAS Congruence rule]
3) QR = ST [Given]
RS = TU [given]
QS = SU [Since S is the midpoint of QU]
ΔQRS ≅ ΔSTU [By SSS Congruence rule]
Hence the triangles are congruent.
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Find the lateral surface area of the figure below.
q ft
8 ft
10 ft
4 ft
PLS HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
it will be choice 3
Step-by-step explanation:
as if you bend each shape of each of them the only choice that will give you a pyramide with a omitted side