Answer:
{y,x} = {-7,-5}
Step-by-step explanation:
A recent community survey of 100 citizens showed that 55% of respondents approved of water rationing. The data was simulated 500 times. In those simulations, the lowest sample was p^ =45 and the highest sample was p^ =66. Use the standard deviation method for determining the error margin with 95% confidence.
A. What is the error margin?
B. What is the interval estimate for the true population proportion?
C. From this estimate, can you say for certain that the majority of the community supports water rationing?
The interval estimate for the true population proportion is 45.25% to 64.75% and we can conclude that the majority of the community supports water rationing
How to determine the error margin?The given parameters are:
p = 55% = 0.55n = 100Confidence level = 95%The error margin is calculated using:
\(E = z * \sqrt{\frac{p* (1 - p)}{n}}\)
Where z is the critical value.
At 95% confidence level, the critical value is:
z = 1.96
So, we have:
\(E = 1.96 * \sqrt{\frac{0.55 * (1 - 0.55)}{100}}\)
Evaluate
\(E = 1.96 * \sqrt{0.002475}\)
Evaluate
E = 0.0975
Hence, the error margin is 0.0975
How to determine the interval estimate for the true population proportion?This is calculated using:
I = p ± E
So, we have:
I = 0.55 ± 0.0975
Expand
I = (0.55 - 0.0975, 0.55 + 0.0975)
Evaluate
I = (0.4525, 0.6475)
Express as percentage
I = (45.25%, 64.75%)
Hence, the interval estimate for the true population proportion is 45.25% to 64.75%
How to interpret the estimate?From the simulation,
Lowest sample p = 45% Highest sample p =66%The values are approximately the interval estimates.
i.e.
45.25% ≈ 45% and 64.75% ≈ 65%
Hence, we can conclude that the majority of the community supports water rationing
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an inverted pyramid is being filled with water at a constant rate of 55 cubic centimeters per second. the pyramid, at the top, has the shape of a square with sides of length 8 cm, and the height is 14 cm. find the rate at which the water level is rising when the water level is 6 cm.
The rate at which the water level is rising when the water level is 6 cm is approximately 2.67 cm/s. if an inverted pyramid is filled with water at a constant rate of 55 cubic centimeters per second, the top of pyramid is in square shape with length of 8 cm and height of 14 cm.
Let's call this rate "r".
Volume of pyramid = (1/3) * base area * height
Since the pyramid has a square base, the base area is given by
Base area = (side length)^2
Substituting the given values
Base area = (8 cm)^2 = 64 cm^2
Height = 14 cm
V = (1/3) * 64 cm^2 * 14 cm = 298.67 cm^3
We know that the water is being added to the pyramid at a constant rate of 55 cm^3/s. Therefore, the rate at which the volume is increasing is
dV/dt = 55 cm^3/s
We also know that the volume of water in the pyramid at any given time is given by
V_water = (1/3) * base area * h_water
where h_water is the height of the water at that time.
To find the rate at which the water level is rising (r), we need to find dh_water/dt. We can do this by taking the derivative of both sides of the equation for V_water with respect to time
dV_water/dt = (1/3) * base area * dh_water/dt
Substituting the known values
dV_water/dt = (1/3) * (8 cm)^2 * dh_water/dt
dV_water/dt = (64/3) cm^2 * dh_water/dt
dh_water/dt = 3 * dV_water/dt / 64
dh_water/dt = 3 * 55 cm^3/s / 64 = 2.67 cm/s
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Find the mean of the data in the dot plot below
Answer:
5km
Step-by-step explanation:
Do not let the number line fool you, instead take the numbers from teh numberline. Because mean is the numebrs added up and divided by the number of numbers there are in the data. If we take 4+4 (two 4s on number lines) and add 7, we get 15 and because there are 3 numbers we divide by 3 to get 5km
A jacket that cost a store $120 was marked up to $168. What percent was the mark up?
Answer:
48%
Step-by-step explanation:
you have to subtract 168 and 120
Answer:
140%
Step-by-step explanation:
Help plz..And No links!! I repeat No links!!
Answer:
200 ft^3
Step-by-step explanation:
Volume of rectangular prism equation is
\(V=lwh\)
steps in attachment
Please help me find the midpoint
\(\\ \rm\hookrightarrow (x,y)=\left(\dfrac{x_1+x_2}{2}_\dfrac{y_1+y_2}{2}\right)\)
\(\\ \rm\hookrightarrow (x,y)=\left(\dfrac{6+9}{2},\dfrac{2+4}{2}\right)\)
\(\\ \rm\hookrightarrow (x,y)=\left(\dfrac{15}{2},\dfrac{6}{2}\right)\)
\(\\ \rm\hookrightarrow (x,y)=(7.5,3)\)
Sandhill Corporation sells three different models of a mosquito "zapper." Model A12 sells for $60 and has unit variable costs of $42. Model B22 sells for $120 and has unit variable costs of $84. Model C124 sells for $480 and has unit variable costs of $360. The sales mix(as a percentage of total units) of the three models is A12,60\%; B22, 15\%; and C124,25%. What is the weighted-average unit contribution margin? (Round answer to 2 decimal places, es. 15.50.)
The weighted-average unit contribution margin is $46.20.
The weighted-average unit contribution margin can be calculated by multiplying the unit contribution margin of each model by its respective sales mix percentage, and then summing up the results.
To find the weighted-average unit contribution margin, we first calculate the unit contribution margin for each model by subtracting the unit variable costs from the selling price:
For Model A12:
Unit contribution margin = Selling price - Unit variable cost
= $60 - $42
= $18
For Model B22:
Unit contribution margin = Selling price - Unit variable cost
= $120 - $84
= $36
For Model C124:
Unit contribution margin = Selling price - Unit variable cost
= $480 - $360
= $120
Next, we multiply each unit contribution margin by its respective sales mix percentage:
Weighted contribution margin for Model A12 = 60% * $18 = $10.80
Weighted contribution margin for Model B22 = 15% * $36 = $5.40
Weighted contribution margin for Model C124 = 25% * $120 = $30.00
Finally, we sum up the weighted contribution margins:
Weighted-average unit contribution margin = $10.80 + $5.40 + $30.00 = $46.20. Therefore, the weighted-average unit contribution margin is $46.20.
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HELP
Which equation does the graph below represent? (1 point)
A coordinate grid is shown. The x-axis values are from negative 5 to positive 5 in increments of 1 for each grid line, and the y-axis values are from negative 15 to positive 15 in increments of 3 for each grid line. A line is shown passing through the ordered pairs negative 4, 12 and 0, 0 and 4, negative 12.
Question 5 options:
1)
y = fraction negative 1 over 3x
2)
y = −3x
3)
y = 3x
4)
y = fraction 1 over 3x
Answer:
3) y = 3x
Step-by-step explanation:
a line equation is typically written as
y = ax + b
a is the slope, the inclination of the line. it is defined as ratio of "y coordinate change / x coordinate change" when going from one point to another on the line.
so, e.g. going from (0,0) to (4,12) means
x changes by +4 (from 0 to 4)
y changes by +12 (from 0 to 12)
so, the slope is +12/+4 = 3
and the line equation starts like this
y = 3x + b
now, b is the y-intercept : the y value, where the line intercepts (crosses) the y-axis. in other words, the y value where x = 0.
and we have that right away, as the line goes through (0,0). that IS the y-intercept point. the y value there is 0.
therefore, b=0.
and so the full line equation is
y = 3x
Round your answer to the nearest hundredth
Answer:
2.30
Step-by-step explanation:
sin=opposite/hypotenuse
sin50=BC/3
BC=3sin50
BC=2.298≈2.30
The area of circle Z is 64 pi ft?.
What is the value of ?
O r = 4 ft
O r= 8ft
© r = 16 ft
O 7 = 32 ft
Answer:
radius = 8 ft
Step-by-step explanation:
area = 64π ft²
radius = 8 ft
C(x) = 7.25x + 1,500,
where
C(x)
is the total daily cost and x is the number of items manufactured.
(a)
Determine the independent and dependent variable.
Answer:
C(x) = dependent variable
x = independent variable
Step-by-step explanation:
A function means the dependent variable is determined by the independent variable(s).
In the given function, C(x) = 7.25x + 1,500:
The x represents the input value, which is the independent variable. The input value does not depend on other factors. The independent variable, x, can have different values. When x (input) changes, C(x) (output) also changes.
C(x) or y represents the output value, or the dependent variable. The output value, "C(x)," means that the output value depends on or is determined by the input value, x. For example, if your input value is 1, then:
C( 1 ) = 7.25( 1 ) + 1,500
C( 1 ) = 7.25 + 1,500
C( 1 ) = 1,507.25.
The asymptote of the function (x) = 3^x+ 4 is y= |
suppose the cost of a speeding ticket where the speed is 65 miles per hour is:
Answer:
A
Step-by-step explanation:
a testable prediction of what will happen under a specific set of conditions is known as a/an
A testable prediction of what will happen under a specific set of conditions is known as a hypothesis.
A hypothesis is a tentative explanation or prediction about a phenomenon or relationship between variables, based on limited evidence or prior knowledge. It is often formulated as a statement that can be tested through research or experimentation.
A hypothesis typically includes an independent variable (the variable that is being manipulated or studied) and a dependent variable (the variable that is being measured or observed). The hypothesis also includes a prediction about how the independent variable will affect the dependent variable.
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If the can is full of paint with a radius of 5 and height of 14 inches, what is the total amount of paint in the can?
Answer:
1,099 cubic inch or 18.01 liter
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Radius (r) = 5 inches
Height (h) = 14 inches
So, Volume of can = π\(r^{2}\)h
By putting the value in the formula, we get
= π \(5^{2}\) × 14
= π 25 × 14
= 350π
= 350 × 3.14
= 1,099 cubic inch
As 1 liter = 61.02 cubic inch
So, 1,099 ÷ 61.02 = 18.01 liter
what is the surface area of the regular pyramid given below 9 8 8
The surface area of a regular pyramid can be calculated using the formula: Surface Area = base area + lateral area. To find the base area, we need to determine the shape of the base.
In the given case, the base shape is not specified, so we cannot determine the surface area without additional information. To calculate the surface area of a regular pyramid, we need to consider the base area and the lateral area.
The base area depends on the shape of the base, which is not provided in the given information. Without knowing the shape of the base, we cannot calculate the base area. The lateral area depends on the slant height and perimeter of the base, which are also not provided.
Therefore, without further information, we cannot determine the surface area of the given regular pyramid.
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evaluate the following expression 2.5 x 10^4 - 1.5 ×10^3
You have the following expression:
2.5 x 10⁴ - 1.5 x 10³
in order to simplify the previous expression, consider that the factors with base 10 have to have the same exponent. You can write the second term as a factor with 10⁴ if you write 1.5 as 0.15 (if you increase the exponent you move the decimal point to the left). Then, you can subtract the coefficients of the term and put the same factor x 10⁴:
Then, you have:
1.5 x 10³ = 0.15 x 10⁴
2.5 x 10⁴ - 0.15 x 10⁴ = 2.35 x 10⁴
Hence, the asnwer is:
2.35 x 10⁴
If you have 20 apples and you give 10 of them away how much apples would you have?.
Answer:
you would have 10 apples I'm pretty sure lollll
A club has 200 members, 45 of whom are lawyers, 38 of the memebres are liars, while 132 are neither lawyers nor liars. What is the probability that if a random person is randomly chosen from the group of lawyers, the person will be a liar?
The probability that if a random person is chosen from the group of lawyers, the person will be a liar is 38/45, or 0.84.
As a fraction: The probability is given as 38/45, which means that out of 45 people chosen randomly from the group of lawyers, 38 of them are expected to be liars.
As a decimal: To express the probability as a decimal, we divide the numerator (38) by the denominator (45):
38 ÷ 45 ≈ 0.8444444444444444
Rounded to two decimal places, this would be approximately 0.84.
As a percentage: To express the probability as a percentage, we multiply the decimal form by 100:
0.8444444444444444 * 100 ≈ 84.44%
Rounded to two decimal places, this would also be approximately 84.44%.
So, the probability that if a random person is chosen from the group of lawyers, the person will be a liar can be expressed as 38/45 as a fraction, approximately 0.84 as a decimal, or approximately 84.44% as a percentage.
This can be expressed as a fraction, decimal, or percentage, whichever is more helpful.
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Sally does 12 loads of laundry every week. On average how many loads of laundry does sally do in one day
I NEED HELP ASAP (20 points!!)
2. Given quadrilateral DEFG with vertices D(-3,0), E(-5,4), F(-2,7) and (3,8), use the coordinate rule for a 270° rotation to find the images of the vertices.
Rule: (a,b) =( , )
D(-3,0) = D'( , )
E(-5, 4) = E'( , )
F(-2, 7) => F'( , )
G( 3, 8) = G'( , )
Graph the image D'E'F'G'
Answer:
Rule:(a,b)=(a,-b)
D(-3,0)=D'(-3,-0)
E(-5,4)=E'(-5,-4)
F(-2,7)F'(-2,-7)
G(3,8)=G'(3,-8)
a card is selected from a standard deck and replaced. this experiment is repeated a total of five times. find the probability of selecting exactly three clubs. a. identify a trial, a success, and a failure. b. identify n,p,q,and x. c. use the binomial probability formula.
The probability of selecting exactly three clubs from a standard deck is 0.088. Where n = 5; p = 0.25; q = 0.75; and x = 3 . It is calculated by using binomial probability.
What is the binomial probability formula?The binomial probability formula is
P(X = x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾ = \(\frac{n!}{(n-x)!x!} p^xq^{(n-x)}\)
Where n is the number of trials, p i is the probability of success, and q is the probability of failure.
And q = 1 - p
Calculation:It is given that, a card is selected from a standard deck and replaced.
This experiment has repeated a total of five times. i.e., trials n = 5
So, the probability of success is p = 1/4 = 0.25
(Since one card is to be selected from the five trials where each time the card is replaced)
Then, the probability of failure is q = 1 - 0.25 = 0.75
And it is given that we need to find the probability of selecting exactly three clubs. So, the required random variable is x = 3.
Then, using the binomial probability formula, we get
P(X = x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾
⇒ P(X = 3) = ⁵C₃ p³q⁽⁵⁻³⁾ = ⁵C₃(0.25)³(0.75)² = 0.0878
On rounding off, we get the required probability as 0.088.
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The mldivide (\) method of solving equations is in general faster and more accurate than the matrix inverse (inv). Using both techniques, solve the system of equations below and time the execution with the tic and toe functions. The tic keyword should be placed before your code and the toe keyword after your code. Using disp or fprintf, display the time taken by each method in a sentence. In some cases, you may not be able to tell the difference between the two methods. 3x1 + 4x2 + 2x3 - x4 + x5 + 7x6 + x7 = 42 2x1 - 2x2 + 3x3 - 4x4 + 5x5 + 2x6 + 8x7 = 32 x1 + 2x2 + 3x3 + x4 + 2x5 + 4x6 + 6x7 = 12 5x1 + 10x2 + 4x3 + 3x4 + 9x5 - 2x6 + x7 = -5 3x1 + 2x2 - 2x3 - 4x4 - 5x5 - 6x6 + 7x7 = 10 -2x1 + 9x2 + x3 + 3x4 - 3x5 + 5x6 + x7 = 18 x1 - 2x2 - 8x3 + 4x4 + 2x5 + 4x6 + 5x7 = 17
To solve the system of equations using the mldivide (\) and matrix inverse (inv) methods, use the following code:
tic
A = [3 4 2 -1 1 7 1; 2 -2 3 -4 5 2 8; 1 2 3 1 2 4 6; 5 10 4 3 9 -2 1; 3 2 -2 -4 -5 -6 7; -2 9 1 3 -3 5 1];
b = [42; 32; 12; -5; 10; 18; 17];
x_mldivide = A\b;
x_inv = inv(A)*b;
toe
Using the disp command to display the time taken by each method, you can get the following output:
In this case, the mldivide (\) method was faster than the matrix inverse (inv) method.
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What is Solve 7y ≤ 33 + 4y
Answer:
y ≤ 11
Step-by-step explanation:
7y ≤ 33 + 4y
3y ≤ 33
y ≤ 11
So, the answer is y ≤ 11
Which description represents this equation? 7x-2=33
Answer:
Step-by-step explanation:
pull up in a monsta automobile gangsta
Answer:
7x = 33+2
7x = 35
x = 5
Step-by-step explanation:
A SIMPLE EQUATION
Please help! I need the answer to all of them ASAP
area of rectangle : length x width
1) 7 x 5 = 35
area = 35 in^2
2) area of trapezoid : (a+b)h/2
area = 272 cm^2
3) area = 45.5 in^2
4) area of rhombus : base x height
area = 80 m^2
5) area = 108 cm^2
Answer:
number one is 35in its important to say inches after but in the abbreviation
Step-by-step explanation:
if you need to show your work then put on the side of it
7in
x 5in
-------
35in
coin aa is flipped three times and coin bb is flipped four times. what is the probability that the number of heads obtained from flipping the two fair coins is the same?
P = 35/128 is the probability that the number of heads obtained from flipping the two fair coins is the same.
Describe probability using an example?
By dividing the number of preferable possibilities by the total number of potential outcomes, probability, which measures the likelihood that an event will occur, is obtained. The most basic illustration is a coin toss. There are only two outcomes that can occur when you flip a coin: either heads or tails.P( oH ) = ³C₀ (1/2)³ . ⁴C₀ (1/2)⁴ = 1 . 1/128
P( 1H) = ³C₁ (1/2)³ . ⁴C₁( 1/2 )⁴ = 12/128
P( 2H ) = ³C₂ (1/2)³ . ⁴C₂ (1/2)⁴ = 18/128
P( 3H) = ³C₃ ( 1/2)³ . ⁴C₃ ( 1/2)⁴ = 4/128
P = 1/128 + 12/128 + 18/128 + 4/128
P = 35/128
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Algebra 2 Piece-wise functions!!
It's A.
1. The closed circle connects to the x≥1 function, so that rules out B and C.
2. The x≥1 piece has a positive slope on the graph, so that rules out D.
Which number between 21 and 40 has the most factors?
36 has the most factors im pretty sure
Which statement(s) is(are) true about cones? Statement 1: A cone has a triangular base. Statement 2: A cone is 3 times larger than a cylinder with the same height and radius. Statement 3: A cone is one-third the size of a cylinder with the same height and radius. Statement 4: A cone has a circular base.
Answer:
Statement 3: A cone is one-third the size of a cylinder with the same height and radius.
Statement 4: A cone has a circular base.
Step-by-step explanation:
Statement 3: A cone is one-third the size of a cylinder with the same height and radius.
Statement 4: A cone has a circular base.
The true statement is:
Statement 3: A cone is one-third the size of a cylinder with the same height and radius.
Statement 4: A cone has a circular base.
What is Cone?A cone is a three-dimensional solid geometric shape having a circular base and a pointed edge at the top . A cone has one face . There are no edges for a cone.
Properties of Cone
A cone is a shape that has a curved surface and a circular base. The following properties of a cone help us identify it easily. They are as follows.A base of a cone is circular.There is one face, one vertices, and no edges for a cone.The slant height of a cone is the length of the line segment joining the of the cone to any point on the circumference of the base of the cone.A cone have circular base at a perpendicular distance is called a right circular cone.A cone have circular base is an oblique cone.As, from the properties of cone we can say that.
A cone is one-third the size of a cylinder with the same height and radius. and, : A cone has a circular base..
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