A survey about issues affecting Bluff City Park was
given to 60 residents. The results of the survey are
shown below.
Issue
Yes No
Curfew
48 12
Skateboard use
26 34
Children under 14 accompanied by
38 22
a person at least 14 years old
Assume that the results in the table accurately predict
the response ratios for the town's 1.200 residents. How
many of the 1,200 residents would respond No on the
curfew issue?
F. 240
G. 300
H. 600
J. 680
K. 960
please help ♥️♥️♥️♥️
PLEASE HELPP
Which point is in the graphed solution set of this system of inequalities?
{6x+2y>77x−2y<16
(4, 4)
(−2, 0)
(1, −10)
(2, 4)
Answer:(2, 4)
Step-by-step explanation:
Please help me with this
Answer:
i dont know
Step-by-step explanation:
the symbol μ ˆ p represents the proportion of a sample of size n, not the proportion of a sample of size n. true or false
The statement ''the symbol μ ˆ p represents the proportion of a sample of size n, not the proportion of a sample of size n.'' is false because the symbol "μ ˆ p" does not represent the proportion of a sample of size n.
In statistical notation, the symbol "μ ˆ p" typically represents the sample proportion, which is an estimate of the population proportion. The sample proportion is obtained by dividing the number of occurrences of a specific event in the sample by the sample size.
On the other hand, the population proportion, denoted by "p," represents the proportion of the entire population that exhibits a certain characteristic or has a specific attribute.
The symbol "μ ˆ p" could be a typographical error or a confusion between different symbols used in statistics. The correct symbol to represent the sample proportion is usually denoted as "p ˆ" or "p-hat." The symbol "μ" typically represents the population mean.
Therefore, it is incorrect to state that "μ ˆ p" represents the proportion of a sample of size n.
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help me with this please.
Answer:
C
Step-by-step explanation:
Answer:
A is the correct answer because there can only be one of each input. Like repeating 2, 6, 4, 0, and 1 in the other ones wont work.
A company expects that the number N(x) of a product sold during a week is related to the amount spent on advertising by the function N(x)=-6x3+180x²+2250x + 13,000, where x (with 0 ≤x≤25) is the amount spent on advertising in thousands of dollars. What is the point of diminishing returns?
The point of diminishing returns is
(Simplify your answer. Type an ordered pair. Do not use commas in the individual coordinates.)
The point of diminishing returns is (20.98, 21247.3).
The point of diminishing returns occurs when the marginal cost of producing an extra unit of output exceeds the marginal revenue generated from selling that unit. Mathematically, it is the point at which the derivative of the production function equals zero and the second derivative is negative.
Given the polynomial function N(x) of degree 3, we can find the point of diminishing returns by finding the critical points where the first derivative equals zero and evaluating the second derivative at those points.
The derivative of N(x) is N'(x) = -18x² + 360x + 2250. To find the critical points, we set N'(x) = 0:
0 = -18x² + 360x + 2250
Dividing by -18 simplifies the equation:
0 = x² - 20x - 125
Using the quadratic formula, we find the solutions to the equation:
x₁,₂ = (20 ± √(20² - 4(1)(-125))) / 2(1)
x₁,₂ = 10 ± 5√5
Thus, the two critical points of N(x) are at x = 10 - 5√5 and x = 10 + 5√5.
To determine the point of diminishing returns, we evaluate the second derivative N''(x) = -36x + 360 at these critical points:
N''(10 - 5√5) = -36(10 - 5√5) + 360 ≈ -264.8
N''(10 + 5√5) = -36(10 + 5√5) + 360 ≈ 144.8
From the evaluations, we find that N''(10 + 5√5) is negative while N''(10 - 5√5) is positive. Therefore, the point of diminishing returns corresponds to x = 10 + 5√5.
To find the corresponding y-coordinate (N(10 + 5√5)), we can substitute the value of x into the original function N(x).
Hence, the point of diminishing returns is approximately (20.98, 21247.3).
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what is the distance from amelia to the top of the tower? type your answer in the box. use numerals instead of words. the distance from amelia to the top of the tower is feet.
The distance from Amelia to the top of the tower is 100 feet.
Define trigonometric identities.Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate a triangle's side length and angle. Trigonometry is the study of angles and the angular relationships between planar and three-dimensional shapes. The cosecant, cosine, cotangent, secant, sine, and tangent are among the trigonometric functions (also known as the circle functions) that make up trigonometry.
Given,
Considering the query;
The tower has a 50-foot height.
Amelia's position and the top of the tower form a 30° angle.
Trigonometric identities, therefore;
Thus,
x = 50/sin30°
sin 30° = 50/x.
x = 50/0.5
x = 100 ft.
The distance from Amelia to the top of the tower is 100 feet.
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An appraiser is calculating a trapezodial site that has base of 150 feet, a height of 2000 feet and a second parrallel base of 100 feet. what is the square feet area of the site?
The area of the given trapezoidal site is 250,000 sq. ft.
What is the area of the trapezoidal?The area of the trapezoidal with the dimensions of both bases and the height is given by the formula,
Area = 1/2 × height × (base1 + base2)
Units: square units
Calculation:The given trapezoidal site has a base of 150 feet, i.e., base1 = 150 ft; a height of 2000 ft, i.e., height = 2000 ft and a parallel base of 100 feet, i.e., base2 = 100 ft.
Then, the area of the trapezoidal is
= 1/2 × 2000 × (150 + 100)
= 1/2 × 2000 × 250
= 250,000 sq. ft
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9 added to twice a number is the same as 27 reduced by 4 times the number
Answer:
x = 12
Step-by-step explanation:
Let the number be x.
9 added to twice a number is the same as 27 reduced by 4 times the number
If we add 9 to the number = (9+x)
If 27 reduced by 4 times the number = (4x-27)
ATQ,
(9+x) = (4x-27)
Taking like terms together,
x-4x = -27-9
-3x = -36
x = 12
Hence, the number be 12.
Given:
R is the midpoint of QS
Prove: PRQ = TRS
Answer:
Step-by-step explanation: Hello!
I don't remember all of the postulates to these, but I hope this will help you! Vertical angles are congruent, so both angles SRT and PRQ are congruent. This also means that line segments PQ and ST are congruent. You also know that angles Q and S are congruent which is given. By the ASA Theorem, when two angles and a side are congruent, then the triangles are congruent.
The number of music CDs sold in 1993 by one company was approximately 2.3×106.The number of music CDs sold by the same company in 2001 was approximately 7.9×107. What is the difference in CDs sold between 1993 and 2001?
Answer:
\(\sf 76,700,000 = 7.67 \times 10^7\)
Step-by-step explanation:
Given information:
\(\textsf{CDs sold in 1993} = \sf 2.3 \times 10^6\)
\(\textsf{CDs sold in 2001} =\sf 7.9 \times 10^7\)
To find the difference in CDs sold between 1993 and 2001, subtract the number of CDs sold in 1993 from the number sold in 2001.
\(\sf \implies \left(7.9 \times 10^7\right)-\left(2.3 \times 10^6\right)\)
\(\sf \implies \left(7.9 \times 10,000,000\right)-\left(2.3 \times 1,000,000\right)\)
\(\sf \implies 79,000,000- 2,300,000\)
\(\sf \implies 76,700,000\)
\(\sf \implies 7.67 \times 10^7\)
Therefore, the difference in CDs sold between 1993 and 2001 is 76,700,000 CDs.
what is the answer too
5< k-2<11?
The k has interval notation(7,13).
Given that 5< k-2<11
Remove all of the teams from the inequality's center that don't contain k.
Inequality, A declaration of an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to.
So, 5+2<k<11+2
7<k<13
Therefore, The interval notation for k is (7,13).
Equations in mathematics are not always balanced on both sides using a 'equal to' symbol. Sometimes it's a 'not equal to' relationship, as though something is more than or less than the other. In mathematics, an inequality is a relationship that results from a non-equal comparison of two numbers or other mathematical expressions. Inequalities are mathematical expressions that fall within the category of algebra.
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An igloo can be modeled as a hemisphere. Its radius measures 6.4 m. Find its volume in cubic meters. Round your answer to the nearest tenth if necessary.
The volume of an igloo is 1097.50 cubic meters.
Given that, an igloo can be modeled as a hemisphere. Its radius measures 6.4 m.
The formula to find the volume of the sphere is given by: Volume of Sphere, V = (4/3)πr³
Here, volume = 4/3 ×3.14×6.4³
= 1097.50 cubic meters
Therefore, the volume of an igloo is 1097.50 cubic meters.
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May 23, 8:49:32 PM
Watch help video
In physics lab, Austin attaches a wireless sensor to one of the spokes of a bicycle
wheel spinning freely on its axle. The sensor's height above the ground, in
centimeters, is given by the function h(t) = 7.46 cos(2(t-0.25)) + 38.86,
where t is time measured in seconds.
What is the minimum and what does it represent in this
context?
The minimum is 29 cm and it represents the sensor's minimum height above the ground.
How to interpret the graph of a cosine function?In Mathematics and Geometry, the standard form of a cosine function can be represented or modeled by the following mathematical equation (formula):
y = Acos(Bx - C) + D
Where:
A represents the amplitude.B = 2π/P.P represents the period.C represents the phase shift.D represents the center line (midline).By critically observing the graph which models the sensor's height above the ground (in centimeters) shown in the image attached below, we can reasonably infer and logically deduce that it has a minimum height of 29 centimeters.
In conclusion, the sensor's minimum height above the ground cannot exceed 29 centimeters.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Which of the following lines would be the best fit for the data points plotted in the scatter plot below?
The line of the best fit for the data points plotted in the scatter plot is y = -0.88x + 8
How to determine the line of the best fit for the data points plotted in the scatter plot?From the question, we have the following parameters that can be used in our computation:
The graph
Using the line of the best fit, we have"
(x, y) = (8, 1) and (0, 8)
A linear equation is represented as
y = mx + c
Where
c = y when x = 0
So, we have
y = mx + 8
Using the points, we have
1 = 8m + 8
This gives
m = -0.88
So, we have
y = -0.88x + 8
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Can someone please help me I really need help it’s my last question
Answer:
x^2+11x+30
Step-by-step explanation:
This is a parallelogram.
Area of a parallelogram can be found with:
A=bh
Plug our values in.
A=(x+6)(x+5)
FOIL-
First: x*x=x^2
Outside: x*5=5x
Inside: 6*x=6x
Last: 6*5=30
x^2+5x+6x+30
Combine like terms.
x^2+11x+30
The weights of healthy adult male Labrador Retrievers are approximately Normally distributed with a mean of 77 pounds and a standard deviation of 6 pounds
A)Make an accurate sketch of the weights of Labrador Retrievers with the horizontal axis marked
B)What weight would represent the 25th percentile?
C)What weight would represent the 75th percentile?
D) What is the interquartile range of male Labrador weights?
E)What proportion of male adult Labrador retrievers weigh above 85 pounds?
F) What proportion of male adult Labrador retrievers weigh between 60 and 80 pounds?
G) What proportion of male adult Labrador retrievers weigh less than 65 pounds?
Answer:the photo is for part A.
B) the weight would be Invnorm(.25,77,6)=72.95
C)the weight would be 81.04 but this is the work invnorm(.75,77,6)=81.04
D)IQR=Q3-Q1
81.04-72.95=8.09
E)9.12 is the answer the work normalcdf(85,1000,77,6)=.0912
F).6892 or 68.92% are the answers the work normalcdf(60,80,77,6)=.6892
G).0227 or 2.27% is the answer and the work normalcdf(0,65,77,6)=.0227
Step-by-step explanation:
Using the normal distribution, we have that:
a) The sketch is given at the end.b) A weight of 72.95 pounds would represent the 25th percentile.c) A weight of 81.05 pounds would represent the 75th percentile.d) The interquartile range is of 8.1 pounds.e) 0.0918 = 9.18% of male adult Labrador retrievers weigh above 85 pounds.f) 0.6892 = 68.92% of male adult Labrador retrievers weigh between 60 and 80 pounds.g) 0.0228 = 2.28% of male adult Labrador retrievers weigh less than 65 pounds.----------------------
Problems of normal distribution can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
----------------------
Mean of 77 means that \(\mu = 77\)Standard deviation of 6 means that \(\sigma = 6\)As for item a, the sketch is given at the end of the question.----------------------
Item b:
The weight is X when Z has a p-value of 0.25, so X when Z = -0.675.\(Z = \frac{X - \mu}{\sigma}\)
\(-0.675 = \frac{X - 77}{6}\)
\(X - 77 = -0.675(6)\)
\(X = 72.95\)
A weight of 72.95 pounds would represent the 25th percentile.
----------------------
Item c:
The weight is X when Z has a p-value of 0.75, so X when Z = 0.675.\(Z = \frac{X - \mu}{\sigma}\)
\(0.675 = \frac{X - 77}{6}\)
\(X - 77 = 0.675(6)\)
\(X = 81.05\)
A weight of 81.05 pounds would represent the 75th percentile.
----------------------
Item d:
The interquartile range is the difference between the 75th and the 25 percentile, thus:
\(81.05 - 72.95 = 8.1\)
The interquartile range is of 8.1 pounds.
----------------------
Item e:
The proportion is 1 subtracted by the p-value of Z when X = 85, thus:
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{85 - 77}{6}\)
\(Z = 1.33\)
\(Z = 1.33\) has a p-value of 0.9082.
1 - 0.9082 = 0.0918.
0.0918 = 9.18% of male adult Labrador retrievers weigh above 85 pounds.
----------------------
Item f:
The proportion is the p-value of Z when X = 80 subtracted by the p-value of Z when X = 60, thus:
X = 80:
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{80 - 77}{6}\)
\(Z = 0.5\)
\(Z = 0.5\) has a p-value of 0.6915.
X = 60:
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{60 - 77}{6}\)
\(Z = -2.83\)
\(Z = -2.83\) has a p-value of 0.0023.
0.6915 - 0.0023 = 0.6892.
0.6892 = 68.92% of male adult Labrador retrievers weigh between 60 and 80 pounds.
----------------------
Item g:
This proportion is the p-value of Z when X = 65, thus:
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{65 - 77}{6}\)
\(Z = -2\)
\(Z = -2\) has a p-value of 0.0228.
0.0228 = 2.28% of male adult Labrador retrievers weigh less than 65 pounds.
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In triangle ABC AB is equals to AB and Angle B equal to 80 find the angle A
Answer:
∠A = 20°
Step-by-step explanation:
Given:
Line AB equal to line AC
So, we can say that;
∠B = ∠C
So
∠B = ∠C = 80°
Using angle sum rule
∠A + ∠B + ∠C = 180°
∠A + 80° + 80° = 180°
∠A = 20°
Given: AD BC and ZBCD ZADC
Prove: DE
The length of DE is equal to length CE since their corresponding angles are equal.
What is the prove of DE and CE?
To prove that line DE is equal to line CE, we will take the following steps as shown below.
In the given figure;
line AD = line BC
angle ADC = angle BCD
let the line DB divide angle ADC equally and let line AC divide angle BCD equally.
then our new triangle becomes EDC
so angle EDC = angle ECD, since the angles are divided equally.
If the two angles (m∠EDC = m∠ECD), then their lengths must be equal since the triangle forms an isosceles triangle.
So length DE = length CE, proved.
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Solve for x! 37m,12m,5xm
Answer:
\(\Huge\boxed{x=7}\)
Step-by-step explanation:
Hello there!
The first thing we want to do is find the measure of the large leg
To do so we use the Pythagorean theorem which says \(a^2+b^2=c^2\\\)
where a and b are legs and c is the hypotenuse
we want to find b given the hypotenuse and short leg
so \(b^2=c^2-a^2\)
all we have to do is plug in a ( a = short leg so a would equal 12) and c ( c = hypotenuse so c would equal 37)
so
\(b^2=37^2-12^2\\37^2=1369\\12^2=144\\1369-144=1225\\b^2=1225\\\sqrt{b^2} =b\\\sqrt{1225} =35\\b=35\)
so the longer leg is equal to 35
35=5x
divide each side by 5
5x/5=x
35/5=7
we're left with x=7
Tony performs a dilation on Figure R. He uses a scale factor of 4 with a center of dilation at the orgin.
What are the coordinates of the image of vertex P?
The x- coordinate of the vertex P is -4 and the y coordinate is -3. The coordinates of the image of vertex P is thus, (-4, -3).
What are coordinates?Coordinates are numbers describing the position of a point or shape in a line or particular space. We can represent a line or shape in the space between number lines with both positive and negative coordinates.
The vertical axis in the number line is called y-axis and the horizontal axis is called the x- axis. The coordinate of a point is written as (x, y). The x, y represents the numbers on x-axis and y -axis touched at which the point lies in the graph.
For the given vertex P, the vertex lies on the point -4 on x-axis and on -3 in y axis. Hence, the coordinate of P is (-4, -3).
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Sanford's gym coach made him run 20 laps on a 400 m track. How many kilometers did he run? How many miles?
Answer:
8km 5mi
Step-by-step explanation:
20x400=8000meters a km = to 1000meters
8000/1000=8km
A mile is a kilometer/ 1.6 8/1.6=5 miles
Sanford ran approximately 8 kilometers and about 4.97 miles.
Given that a coach made someone run 20 laps on a 400 m track.
We need to find the number of mile he ran as well as number of kilometers he ran.
To find out how many kilometers Sanford ran, we can use the fact that 1 kilometer is equal to 1000 meters.
Similarly, to find out how many miles he ran, we'll use the conversion factor of 1 mile being equal to approximately 1609.34 meters.
Let's calculate it:
1 lap = 400 meters
20 laps = 20 x 400 = 8000 meters
Kilometers:
8000 meters ÷ 1000 meters/kilometer = 8 kilometers
Miles:
8000 meters ÷ 1609.34 meters/mile ≈ 4.97 miles
So, Sanford ran approximately 8 kilometers and about 4.97 miles.
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Solve the equation.
-9x + 1=-X+17
Ox=-8
Ox=-2
Ox=2
Ox=8
Answer:
x = -2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality PropertiesStep-by-step explanation:
Step 1: Define
-9x + 1 = -x + 17
Step 2: Solve for x
Add 9x on both sides: 1 = 8x + 17Subtract 17 on both sides: -16 = 8xDivide 8 on both sides: -2 = xRewrite: x = -2Use a regra e escreva os termos de cada sequência.
Com contas se puder
Resposta:
parece que há alguns neurônios faltando na sua cabeça pra n saber responder isso
Explicação:
você n tem neurônios
The graph shows the amount of water that remains in a barrel after it begins to leak. The variable x represents the number of days that have passed since the barrel was filled, and y represents the number of gallons of water that remain in the barrel.
A graph titled Water Supply with number of days on the x-axis and gallons of water left on the y-axis. A line goes through points (6, 33) and (15, 15).
What is the slope of the line?
–2
Negative one-half
StartFraction 7 Over 16 EndFraction
StartFraction 39 Over 30 EndFraction
Answer:
-2 is your answer hope this helps!
Answer:
-2
Step-by-step explanation:
What is the median age for the following data set representing the ages of students requesting tickets for a summer band concert? Explain your reasoning. 13 14 15 15 16 16 17 18 18
Answer:
16 is the median
Step-by-step explanation:
By definition, the median is the mid value or the middle number of a given data set
Firstly, we have to arrange the numbers in ascending or descending order
What we have as the count of the numbers here is 9
So the middle number is the 5th term counting from either sides
As we can see, the fifth term here is the number 16
I need an answer pretty quickly.
Answer:
I think it would be option 1
Step-by-step explanation:
Hope this is right and helpful
One positive integer is 1 greater than 3 times another positive integer. If the product of the two integers is 154, then what is the sum of the two integers?
Answer:
29
Step-by-step explanation:
Let the smaller integer be x.
The other integer is 1 greater than 3 times x, or 3x + 1.
The product is 154.
x(3x + 1) = 154
3x^2 + x - 154 = 0
157 = 2 * 7 * 11
14 * 11 = 154
22 * 7 = 154
(3x + 22)(x - 7) = 0
3x + 22 = 0 or x - 7 = 0
3x = -22 or x = 7
x = -22/3 or x = 7
-22/3 is not a positive integer, so we discard that solution.
The smaller integer is 7.
3x + 1 = 3(7) + 1 = 22
The greater integer is 22.
The sum of the integers is 7 + 22 = 29
Answer: 29
Step-by-step explanation:
The cumulative frequency table shows the heights (inches) of every student in Mrs. Torjman’s math class. What number should be written in the red box?
Answer:
The number 28 should be written in the red box.