Dylan wants to determine a 80 percent confidence interval for the true proportion of high school students in the area who attend their home basketball games. how large of a sample must he have to get a margin of error less than 0.02? [to find n, use the value p* = 1/2 f
Answers
Dylan needs a sample size of at least 1,600 to obtain an 80% confidence interval with a margin of error less than 0.02.
To determine the sample size needed, we need to use the formula:
n = [(z*)^2 * p*(1-p*)] / E^2
where:
n = sample size
z* = critical value for the confidence level (80% in this case)
p* = estimated sample proportion (1/2)
E = margin of error (0.02)
Using a z-table, the critical value for an 80% confidence level is approximately 1.28. Plugging in the values, we get:
n = [(1.28)^2 * 1/2 * (1-1/2)] / (0.02)^2
n = 1600
Therefore, Dylan to obtain an 80% confidence interval with a margin of error less than 0.02 require a sample size of atleast 1,600.
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Related Questions
There is 1/3 of a pie shared equally between 5 children. How much of the pie does each child receive?
1/9 pie
1/15 pie
1/18 pie
1/20 pie
Answers
Answer:
1/15 pie
Step-by-step explanation:
An easy way to do this is instead of dividing, multiply the denominator by 5. You get 15. You can say Im just making a coincidence, but try it yourself!
(1/3)/5 is basically multiplication. You may have heard the saying, "division with fractions is multiplication". Thats true. Turn 5 into 5/1 and multiply. 5/1x1/3.
you get 1/15. Hope it helps
Also you have to flip 5/1 to 1/5 and then multiply hehe. thats how you get 1/15
Answer:
Its B, 1/15 hope this helps
Step-by-step explanation:
a square-shaped area has sides measuring 5 \(\sqrt{9}\) m, what is the area of the square
Answers
the area of the square is 25 square meters.
The area of a square is given by the formula A = s^2, where s is the length of a side.
In this case, the square has sides of length 5 m.
So, the area of the square is:
A = s^2
A = 5^2
A = 25 square meters
what is square?
A square is a geometric shape with four equal sides and four right angles. It is a type of rectangle, and also a type of parallelogram. All of the interior angles in a square measure 90 degrees (or right angles), and opposite sides are parallel and congruent. The perimeter of a square is found by adding up the lengths of all four sides, and the area is found by multiplying the length of one side by itself. The formula for the perimeter of a square is P = 4s, where P is the perimeter and s is the length of one side. The formula for the area of a square is A = s^2, where A is the area and s is the length of one side.
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only need help on 38 please
Answers
Answer: D
Step-by-step explanation:
How many square inches of fabric does Kendall need for a triangle flag with a base of 20 inches a height of 40 inches
Answers
Answer: \(400^{2}\)
Step-by-step explanation:
First, write the formula:
A = (b × h) / 2
Next, multiply the base and the height of the triangle.
20 x 40 = 800
Finally, divide 800 by 2.
800/2=400
Therefore, the answer is \(400^{2}\).
simplify and enter the integer that belongs in the green box
Answers
Answer: -1
Step-by-step explanation:
Suppose you have an outdoor pool measuring 25 ft by 10ft . You want to add a cement walkway around the pool. If the walkway will be 1 ft thick and you have 304 ft³ of cement, how wide should the walkway be?
Answers
The area covered by the pool and the cement walkway is 304 square feet. The width of the walkway would be 5 feet
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
Let x be represent the width of the walkway.
The pool measures 25 ft by 10ft . If the walkway must have a uniform width around the entire pool, then the total length of the pool and the walkway = 25+ x + x = 25 + 2x
The total width of the pool and the walkway = 10 + x + x = 10 + 2x
The area covered by the pool and the cement walkway is 304 square feet. This means that;
(25 + 2x)(10 + 2x) = 304
250 + 50x + 20x + 4x^2 = 304
4x^2 + 70x + 250 - 304 = 0
4x^2 + 70x - 54 = 0
x(x + 20) - 5(x + 20) = 0
(x - 5)(x + 20) = 0
x = 5 or x = - 20
Thus The width cannot be negative.
Therefore, the width of the walkway is 5 feet.
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Suppose you borrowed $45,000 at a rate of 8.5% and must repay it in 5 equal installments at the end of each of the next 5 years. By how much would you reduce the amount you owe in the first year? Select the correct answer. a. $7,594.46 b. $7,600.46 c. $7,618.46 d. $7,612.46 e. $7,606.46
Answers
The correct answer is option a. $7,594.46.
To calculate the amount you would reduce the amount you owe in the first year, we can use the formula for the equal installment of a loan. The formula is:
Installment = Principal / Number of Installments + (Principal - Total Repaid) * Interest Rate
In this case, the principal is $45,000, the number of installments is 5, and the interest rate is 8.5%.
Let's calculate the amount you would reduce the amount you owe in the first year:
Installment = $45,000 / 5 + ($45,000 - $0) * 0.085Installment = $9,000 + $3,825
Installment = $12,825
Therefore, you would reduce the amount you owe by $12,825 in the first year.The correct answer is option a. $7,594.46.
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If g(x)=2ln(x+1) and f is a differentiable function of x, what is equivalent to the derivative of f(g(x)) with respect to x?
Answers
The equivalent expression for the derivative of f(g(x)) with respect to x is (f'(g(x))) (g'(x)), according to the chain rule.
Given that g(x) = 2ln(x+1) and f(x) is a differentiable function, we want to find the derivative of f(g(x)) with respect to x. We can use the chain rule to determine an equivalent expression for this derivative.
According to the chain rule, if we have a composite function y = f(g(x)), then the derivative of y with respect to x is given by the product of the derivative of f with respect to its argument multiplied by the derivative of g with respect to x.
In this case, g(x) is the inner function and f(u) is the outer function. Applying the chain rule, we have:
d/dx [f(g(x))] = f'(g(x)) g'(x)
Here, f'(u) represents the derivative of f with respect to its argument, and g'(x) represents the derivative of g with respect to x.
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Please Help!
(I have had trouble with this question for a while.)
The difference of the roots of the quadratic equation \(x^2+bx+c\) is \(|b-2c|\) . If \(c \neq 0\), then find \(b\) in terms of \(c\).
Answers
Answer:
Below
Step-by-step explanation:
The equation is x2 + bx + c
The coefficients are
● a = 1
● b
● c is the constant
The difference of the roots is | b - 2c |
Let s and p be the roots of the polynomial
● s - p = | b - 2c | (1)
● s + p = -b/a => s + p = -b (2)
(1) + (2)
● s - p + s + p = |b-2c| - b
● 2s = | b - 2c | - b
● 2s = b - 2c - b or 2s = 2c - b - b
● 2s = - 2c or 2s = 2c - 2b
● s = - c or s = c - b
We want to express b in term of c. So we will be intetsted in the 2nd equation
● s = c - b
● s - c = - b
● b = c - s
Which best describes a triangle with the angles measure at 58°, 47°, and 75°?
unique triangle
more than one triangle
obtuse triangle
nonexisting triangle
Answers
9514 1404 393
Answer:
more than one triangle
Step-by-step explanation:
Any number of triangles can have those angle measures.
more than one triangle
Answer:
the answer is more than one triangle
i need help with this ASAP PLZ SHOW THE EQUATION WITH IT PLZ
Answers
So -4(6+2w) = (-4x6) + (-4x2w) = -24 - 8w
(-24 - 8w) is the first part, so putting it all together:
(-24 - 8w) - 2w + w^2 = -24 - 10w + w^2
i need help with this and if you can give me work to show cuz i need to show my work but i can’t if i don’t know how to do it
Answers
Answer:
x = 9
Step-by-step explanation:
A garden measuring 8 feet by 12 feet will have a walkway around it. The walkway has a uniform width, and the the area covered by the garden and the walkway is 192 square feet what is the width of the walkway?
Answers
The width of the walkway is approximately 0.343 feet or about 4.12 inches.
Let's suppose that the pathway is x feet wide.
The total length of the garden with the walkway is 8 + 2x feet (since there is a walkway on both sides of the garden), and the total width of the garden with the walkway is 12 + 2x feet.
The area covered by the garden and the walkway is the product of the length and width, which is:
\((8 + 2x) \times (12 + 2x) = 192\)
Expanding this equation, we get:
\(96 + 32x + 16x + 4x^2 = 192\\4x^2 + 48x - 96 = 0\)
Dividing both sides by 4, we get:
\(x^2 + 12x - 24 = 0\)
Using the quadratic formula, we get:
x = (-12 ± \(\sqrt{ (12^2 - 41(-24))) / (2\times1}\))
x = (-12 ±\(\sqrt{(288)) / 2}\))
x = (-12 ± \(12\sqrt{(2)) / 2}\)
x = -6 ± \(6\sqrt{(2)}\)
Since the width of the walkway cannot be negative, we take the positive value of x:
\(x = -6 + 6\sqrt{(2)} \\x= 0.343 feet\)
Therefore, the width of the walkway is approximately 0.343 feet or about 4.12 inches.
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−2 ≤ 8
answer quick please
Answers
Answer: True
Step-by-step explanation:
The inequality is always True
Which table represents the graph of a logarithmic function in the form y=log x when b > 1
Answers
Answer:
Option A
Step-by-step explanation:
Got 100% :) hope this helped
6 is 16% of what number?
Answers
Answer:
37.5
Step-by-step explanation:
Answer:
6 is 16% of the number 37.5
Step-by-step explanation:
We have, 16% × x = 6
or, 16/100 × x = 6
Multiplying both sides by 100 and dividing both sides by 16,
we have x = 6 × 100/16
x = 37.5
Find the equation of a line that passes through (1,12) and is parallel to the graph of y=3x+3 Write the equation in slope-intercept form, if possible.
Answers
Answer:
The equation of the parallel line is
y = 3x + 9
Step-by-step explanation:
The general equation of a straight line is given as;
y = mx + c
where m is the slope and c is the intercept
If two lines are parallel, their slopes are equal
So the slope of the new line too is 3
Using the point-slope formula
y-y1 = m(x-x1)
y-12 = 3(x-1)
y-12 = 3x-3
y = 3x-3 + 12
y = 3x + 9
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.
Answers
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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slope of the points (11,-20) and (3,-20)
Answers
Answer:
the slope is 0.
Answer:
Slope is zero
Please help asap, my semester ends in less then 2 weeks and I’m struggling
Answers
The probability that, in a random sample of 6 parts produced by this machine, exactly 1 is defective is 0.371.
How to calculate the probabilityIn this case, we have n = 6 (the number of parts) and p = 0.13 (the probability of producing a defective part). We want to find the probability of exactly 1 defective part, so k = 1.
Plugging in the values into the formula, we get:
P(X = 1) = C(6, 1) * 0.13 * (1 - 0.13)⁵
= 6 * 0.13 * 0.87⁵
Calculating this expression:
P(X = 1) ≈ 0.371
Therefore, the probability that, in a random sample of 6 parts produced by this machine, exactly 1 is defective is approximately 0.371
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At a certain auto parts manufacturer, the Quality Control division has determined that one of the machines produces defective parts 13% of the time. If this percentage is correct, what is the probability that, in a random sample of 6 parts produced by this machine, exactly 1 is defective?
Round your answer to three decimal places.
steps for 540 + 6x = 810
Answers
Answer:
x = 45
Step-by-step explanation:
\(540 + 6x = 810\)
Step 1 : Collect like terms
\(6x = 810 - 540\)
Step 2 : Simplify
\(6x = 270\)
Divide both sides of the equation by 6
\( \frac{6x}{6} = \frac{270}{6} \)
Step 4 : Simplify
\(x = 45\)
I hope it helps :)
Answer:
Well...X=45
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:540+6*x-(810)=0
Pull out like factors :-270 + 6x = 6 • (x - 45)
Solve : x-45 = 0::
Add 45 to both sides of the equation: x = 45
identify each term as related to only factorial designs or related to either single independent variable designs or factorial designs. only factorial designs drag appropriate answer(s) here difference in differences press space to open interaction press space to open within-groups design press space to open independent variable press space to open main effect press space to open mixed design
Answers
The appropriate answers are: 1. Difference in differences. 2. Within-groups design. 3. Independent variable. 4. Main effect. 5. Mixed design.
1. Difference in differences: This term is related to both single independent variable designs and factorial designs. It refers to a research design used to estimate the causal effect of a treatment or intervention by comparing the differences in outcomes between a treatment group and a control group before and after the treatment.
2. Within-groups design: This term is related to either single independent variable designs or factorial designs. It refers to a research design where participants are exposed to all levels or conditions of the independent variable(s), and their performance or responses are compared within the same group.
3. Independent variable: This term is related to both single independent variable designs and factorial designs. It refers to the variable(s) manipulated or controlled by the researcher to observe its effect on the dependent variable(s).
4. Main effect: This term is related to factorial designs. It refers to the individual effect of each independent variable in a factorial design on the dependent variable(s), ignoring the interactions between the independent variables.
5. Mixed design: This term is related to factorial designs. It refers to a research design that combines within-groups and between-groups factors, allowing for the examination of both within-subject and between-subject effects in the same experiment.
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A: Identify the function type in the graph, and then describe a relationship that could be modeled by the function represented by the graph.
B: Identify and interpret the key features of the function in the context of the situation you described in part A.
Answers
The function type in the graph is a decreasing function.
What is a function?It should be noted that a function is simply used to illustrate the relationship between variables.
In this case, the function type in the graph is a decreasing function. As the number in X axis increases, the value in the y axis is decreased.
This illustrates a decreasing function.
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A swimming pool can be filled at the rate of 25 liters per minute using a special pump. How many hours will it take to fill a pool that holds 5,000 liters of water? Round to the nearest hunredth.
Answers
Answer:
3.33 hrs
Step-by-step explanation:
5000 liters divided by 25 liters per minute = 200 minutes
Answer:
3 hours and 20 minutes
Step-by-step explanation:
Divide: 5,000 divided by 25=200
200 minutes= 3 hours and 20 minutes
Hope this helped!! :)
Stay safe and have a wonderful day/night!!!!!
Brainliest?!?!
Mikayla drew 20 triangles and 25 circles on a piece of paper. What is the ratio of circles to triangles?
(no scams please!!)
Answers
Answer:
25/20 or 25:20 ( doesn't matter which)
Step-by-step explanation:
Circles :25
triangles :20
Answer:
25:20 or 5:4
Step-by-step explanation:
The ratio is the circle:triangle
Plug in the values.
25:20 = 5:4
In Italy, one dollar is approximately equal to 1900 lire. If a certain pair of shoes cost
60,000 lire, what would be the dollar amount? Round to the nearest hundredth, if
necessary.
Answers
Step-by-step explanation:
Divide 60000 by 1900 to represent the amount of dollars:
\(60000 \div 1900 = 31.5789\)
Rounded to the nearest hundredth:
\(31.58\)
On Sunday, Sheldon bought 4 1/2 kg of plant food. He used 1 2/3 kg on his strawberry plants and used 1/4 kg for his tomato plants. How many kilograms of plant food did Sheldon have left? Which number sentence matches the problem? *
1 point
Answers
Answer:
\(2\frac{7}{12}\) kg of plant food
Step-by-step explanation:
The second question doesn't have choices, so I'll answer the first question only.
In order to know how much plant food Sheldon has, you have to subtract \(1\frac{2}{3}\) kg of plant food used for the strawberry plants from \(4\frac{1}{2}\) kg of plant food. Then, \(\frac{1}{4}\) kg will be subtracted from the difference.
\(4\frac{1}{2}\) - \(1\frac{2}{3}\) = ?Let's convert both fractions into improper fractions first, so it will be easier to subtract.
\(4\frac{1}{2}\) = \(\frac{9}{2}\)\(1\frac{2}{3}\) = \(\frac{5}{3}\)Now, let's subtract.
\(\frac{9}{2}\) - \(\frac{5}{3}\) = \(\frac{17}{6}\) or \(2\frac{5}{6}\) kg of plant foodNext, you have to subtract \(\frac{1}{4}\) kg of plant food used for the tomato plants from the remaining plant food of \(\frac{17}{6}\) kg.
Let's subtract again.
\(\frac{17}{6}\) - \(\frac{1}{4}\) = \(2\frac{7}{12}\) kg of plant foodTherefore, Sheldon has \(2\frac{7}{12}\) kg of plant food left.
the first four terms of a geometric sequence are 27, x, 3, 1. find the value of x
Answers
Answer:
9
Step-by-step explanation:
PLEASE HELP! I have no clue how to do this!
Answers
Answer:
70 degrees
Step-by-step explanation:
Well as you can see the entire angle is 112° and if angle 1 is 42° then 112 - 42 = 70° which means that there are 70° left, whih is your answer.
HELP ASAP PLEASE!!!!!!!1
