Use the given data to construct a confidence interval for the population proportion of the requested level. x=52, n=72, confidence level 99.9% Round the answer to at least three decimal places.
Answer:
The 99.9% confidence interval for the population proportion is (0.548, 0.896).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which
z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).
For this problem, we have that:
\(n = 72, \pi = \frac{x}{n} = \frac{52}{72} = 0.722\)
99.9% confidence level
So \(\alpha = 0.001\), z is the value of Z that has a pvalue of \(1 - \frac{0.001}{2} = 0.9995\), so \(Z = 3.29\).
The lower limit of this interval is:
\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.722 - 3.29\sqrt{\frac{0.722*0.278}{72}} = 0.548\)
The upper limit of this interval is:
\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.722 + 3.29\sqrt{\frac{0.722*0.278}{72}} = 0.896\)
The 99.9% confidence interval for the population proportion is (0.548, 0.896).
4/7×2 please help 10 points
please help me to do this problem please. if 1/2+2/5s=s-3/4,what is the value of S?
Answer: We are provided with one unknown equation and we have to solve it:
\(\frac{1}{2}+\frac{2}{5}s=s-\frac{3}{5}\)The solution for s is :
\(\begin{gathered} \frac{2}{5}s-s=-\frac{3}{5}-\frac{1}{2}=\frac{-6-5}{10}=-\frac{11}{10} \\ \frac{2s-5s}{5}=-\frac{11}{10} \end{gathered}\)Therefore the solution is as follows:
\(-3s=-\frac{11}{2}\rightarrow s=\frac{11}{6}\)what is the simplification of 1.1
Answer:
1 1/10
Step-by-step explanation:
I hope it's what you wanted
Select all numbers that have an absolute value of 4.
A 11-inch candle is lit and burns at a constant rate of 1.1 inches per hour. Let t represent the number of hours since the candle was lit, and suppose R
is a function such that R (t) represents the remaining length of the candle (in inches) t
hours after it was lit.
- What is the domain of R^−1 relative to this context? Enter your answer as an interval.
- What is the range of R^−1 relative to this context? Enter your answer as an interval.
Therefore, in response to the given query, we can state that R(-1)'s inequality possible spectrum is thus: [0, 10]
What is inequality?A connection between two expressions or numbers that is not equivalent in mathematics is referred to as an inequality. Thus, disparity results from inequity. In mathematics, an inequality establishes the connection between two non-equal numbers. Egality and disparity are not the same. Use the not equal sign most frequently when two numbers are not identical. (). Values of any size can be contrasted using a variety of disparities. By changing the two sides until only the factors are left, many straightforward inequalities can be answered. However, a number of factors support inequality: Both parts' negative numbers are divided or added. Exchange the left and the right.
The equation can be used to describe the candle's length, R(t):
R(t) = 11 - 1.1t
where t represents how long the light has been burning, in hours.
We must determine t in terms of R in order to determine the negative of R(t):
R = 11 - 1.1 t = (11 - R)/1.1 t = (11 - R)
R(t)'s inverse function is thus:
\(R^{(-1)}(R) = (11 - R)/1.1\)
0 ≤ R ≤ 11
So, R(-1)'s scope is as follows:
[0, 11]
0 ≤ R ≤ 11
Inputting these limits into the equation for R(-1) yields the following results:
\(R^{(-1)}(0) = 11/1.1 = 10\\R^{(-1)}(11) = 0/1.1 = 0\)
R(-1)'s possible spectrum is thus:
[0, 10]
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b. Choose the correct answers.
1. The product of three negative integers is
(a) always negative
hla
jeatofine anwser me 48 divided by2 (9+3) =
Answer:
2
Step-by-step explanation:
48/2(9+3)
=48/2(12)
=48/24
=2
hope this helps
plz mark as brainliest
Answer:
The answer is 2 Have a blessed and safe day
Name the variable terms of the expression. Then underline the variable part of each term.
5-8n-3n^2
The variable terms of the expression 5 - 8n - 3n² are: n, n²
(5 - 8n - 3n²)
In this question, we have been given an expression 5-8n-3n^2
We need to name the variable terms of the expression.
Also, we need to underline the variable part of each term.
We know that, variable is a term which represents an unknown value or quantity.
We have been given an quadratic expression.
5 - 8n - 3n²
We can observe that, 5, -8, -3 are fixed numbers i.e., constants.
And the alphabet n can take any real value.
Consider the first term,
5 => it is a constant
Consider the second term,
- 8n => here, the variable is n
Consider the third term,
- 3n² => here, the variable is n²
Now, we underline the variable part of each term.
5 - 8n - 3n²
Therefore, the variable terms of the expression 5 - 8n - 3n² are: n, n²
(5 - 8n - 3n²)
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A child has $9.30 in a piggy bank. If the child spends 13 of the money on a snow cone and then finds $0.75 to put in the piggy bank, how much money does the child now have in the piggy bank?
The child will have $9.92 in his piggy bank.
What is basic arithmetic operations?
Basic arithmetic operations are the foundation of mathematics and include addition, subtraction, multiplication, and division. These operations are used to perform mathematical calculations and are necessary for solving a wide range of problems, from simple arithmetic problems to more complex mathematical equations.
The child has $9.30 and spends $0.13 on a snow cone, so their piggy bank balance becomes $9.30 - $0.13 = $9.17.
After finding $0.75 to put in the piggy bank, the child now has $9.17 + $0.75 = $9.92 in their piggy bank.
Hence, the child will have $9.92 in his piggy bank.
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A community would like to add a brick paver border around their swimming pool. They created the following image to represent the pool with the border. A large rectangle with a length of 48 feet and a width of 28 feet. Inside of it is another rectangle with a length of 32 feet and a width of 12 feet. Part A: Find the total area of the brick paver border that surrounds the 12 ft by 32 ft pool. Show your work. (2 points) Part B: If brick pavers cost $8 per square foot, what is the total cost of the brick pavers needed for this project? Explain. (2 points)
Part A: The total area of the brick paver border is \(960\) square feet.
Part B: The total cost of the brick pavers needed for this project is $\(7,680\).
Part A: To find the total area of the brick paver border, we need to subtract the area of the pool from the area of the larger rectangle. The area of the pool is \(32\) feet multiplied by 12 feet, which is equal to \(384\)square feet.
The area of the larger rectangle is \(48\) feet multiplied by \(28\) feet, which is equal to \(1,344\) square feet. Therefore, the area of the brick paver border is \(1,344\) square feet minus \(384\) square feet, which equals \(960\) square feet.
Part B: If brick pavers cost $\(8\)per square foot, we can calculate the total cost by multiplying the cost per square foot by the total area of the brick paver border. The total area of the brick paver border is \(960\) square feet, and the cost per square foot is $\(8\).
Therefore, the total cost of the brick pavers needed for this project is $\(8\)multiplied by \(960\) square feet, which equals $\(7,680\).
Note: The calculations provided assume that the border consists of a single layer of brick pavers.
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The graph of h(x) is shown.
What are the intercepts and asymptote(s) of h(x)? Explain how to find these using the graph.
Answer:
y-int = -1
x-int = -4
HA: y = -2
VA: x = -5
Step-by-step explanation:
For the y-intercept, you need to look where the graph intersects with the y-axis. In this case, the graph intersects at -1.
For the x-intercept, you need to look where the graph intersects with the x-axis. In this case, the graph intersects at -4.
The horizontal asymptote is a y value the graph approaches but does not pass or touch. In this case, the y value is -2.
The vertical asymptote is a x value the graph approaches but does not pass or touch. In this case, the x value is -5.
In the first round of a card game, niki scored 20 points. Then, she lost 10 points on one turn and a additional 25 points on her final turn. What’s niki’s final score?
What is the name of a three-sided polygon?
Answer:
A three-sided polygon is a triangle.
For a science experiment, Tibs dropped two different balls from various heights and recorded the height of the first bounce. The graph shows the data for ball A (the solid line) and ball B (the dashed line). What was the height of the first bounce of ball A when the initial height of the ball was 5 feet? What was the initial height of ball B that resulted in a bounce height of 2 feet?
Answer:
gravity is working
Step-by-step explanation:
gravity works on objects with energy
Lena can knit 14 square inches of a blanket in 3 1/2 hours.
Find the number of square inches knit per hour and the number of hours spent knitting per square inch
Step-by-step explanation:
No. of square inches of knit per hour is 14 and No. of hours spent in knitting 1 square inch is \frac{1}{14}141
Step-by-step explanation:
We are given that Lena can knit 14 square inches of a blanket in hours
So, No. of square inches of knit per hour = 14
No. of hours spent in knitting 14 square inch = 1
No. of hours spent in knitting 1 square inch = \frac{1}{14}141
So, No. of square inches of knit per hour is 14 and No. of hours spent in knitting 1 square inch is \frac{1}{14}141
Express it in slope-Intercept form
Answer:
Y=1/4x-4
Explanation: The y intercept is -4 that is your B. Using the rise over sun method the line rises 1 and goes to the right 4 making the slope 1/4 or .25
The base of the mountain is 6,500 feet above sea level and AB measures 230 feet across. Given that the measurements for QAP is 20° and QBP is 35°, how far above sea level is peak P ? Express your answer to the nearest foot.
Height above sea level:
Answer:
6610
Step-by-step explanation:
We have tan(X) = opposite/ adjacent
tan(QBP) = PQ/BQ
tan(35) = PQ/BQ ---eq(1)
tan(QAP) = PQ/AQ
tan(20) = \(\frac{PQ}{AB +BQ}\)
\(=\frac{1}{\frac{AB+BQ}{PQ} } \\\\=\frac{1}{\frac{AB}{PQ} +\frac{BQ}{PQ} } \\\\= \frac{1}{\frac{230}{PQ} + tan(35)} \;\;\;(from\;eq(1))\\\\= \frac{1}{\frac{230 + PQ tan(35)}{PQ} } \\\\= \frac{PQ}{230+PQ tan(35)}\)
230*tan(20) + PQ*tan(20)*tan(35) = PQ
⇒ 230 tan(20) = PQ - PQ*tan(20)*tan(35)
⇒ 230 tan(20) = PQ[1 - tan(20)*tan(35)]
\(PQ = \frac{230 tan(20)}{1 - tan(20)tan(35)}\)
\(= \frac{230*0.36}{1 - 0.36*0.7}\\\\= \frac{82.8}{1-0.25} \\\\=\frac{82.8}{0.75} \\\\= 110.4\)
PQ = 110.4
≈110
Height above sea level = 6500 + PQ
6500 + 110
= 6610
(2x^2-9x-5) \div(x-5)
Answer:2x+1
Step-by-step explanation:
Paige only needs to sell to 17 more customers to receive a bonus. She works part time, so she only talks to 50 customers per day. With a sales ratio of 1:9, on which day will Paige qualify for a bonus?
Answer:
Paige will qualify for a bonus on her 4th day of work.
Step-by-step explanation:
50 customers per day
needs to sell to 17
Ratio = 1:9
1:9
×17 ×17
17:153
Paige needs to see 153 customers.
153 ÷ 50 = 3.06 ≈ 4 (As the answer is not asking for the exact number of the day you round up to make a whole day without underestimating)
So, Paige will qualify for a bonus on her 4th day of work.
For 10 years, the population of a city increases in a pattern that is approximately exponential. Using exponential modeling you find a function p(t) to describe the population where p is the population in thousands) of the city in year t. Your function uses an initial value of 15 and a 6.4% annual growth rate. What is a reasonable prediction for the future population of the city? A The population will be under 7000 in Year 12. The population will be over 40,000 in Year 15. The population will be under 50,000 in Year 18. D The population will be over 300,000 by Year 20.
We can use the following equation to describe the exponential function:
\(P=P_0\cdot(1+i)^t\)Where P is the final value after t years, P0 is the initial value and i is the growth rate per year.
Using P0 = 15 and i = 6.4% = 0.064, we have:
\(P=15(1.064)^t\)Now let's check each option:
A) For t = 12 we have:
\(\begin{gathered} P=15(1.064)^{12} \\ P=31.578 \end{gathered}\)The population is approximately 31,578, so this option is incorrect.
B) For t = 15 we have:
\(\begin{gathered} P=15(1.064)^{15} \\ P=38.038 \end{gathered}\)This option is also incorrect, the population is under 40,000.
C) For t = 18:
\(\begin{gathered} P=15(1.064)^{18} \\ P=45.818 \end{gathered}\)The population is under 50,000, so this option is correct.
D) For t = 20:
\(\begin{gathered} P=15(1.064)^{20} \\ P=51.871 \end{gathered}\)The population is not over 300,000, so this option is incorrect.
The correct option is C.
the catalog price of an item is $875. the trade-discount is 20%. what is the net price?
Answer:
you need to use the before change and after method.
Mr bailey plans to plant soybeans in 4 of every 9 acres This year he plans to farm 2,100 acres what is a reasonable estimate of the numbers of acres on which he will plant soybeans
A.60 B. 230 C.520 D.930
Option D, which is the closest choice to 933.33, is 930. As a result, 930 fraction acres is a plausible estimate of the amount of acres on which Mr. Bailey will plant soybeans
what is fraction?A fraction is a number that represents a portion of a whole or a ratio between two quantities in mathematics. It is represented as a top number (numerator) over a bottom number (denominator) divided by a horizontal line, also known as a vinculum. The fraction 3/4, for example, represents three-quarters of a whole that has been divided into four equal parts. Proper fractions, improper fractions, and mixed numbers are all ways to express a fraction. A suitable fraction is one in which the numerator is less than the denominator, for example, 2/5.
Mr. Bailey intends to plant soybeans on 4 of every 9 acres, which equates to (4/9) of the total acres he farms.
If he intends to cultivate 2,100 acres, the number of acres planted with soybeans is:
(4/9) x 2,100 = 933.33
We must round this amount to the next whole number because he cannot plant soybeans on a fraction of an acre.
Option D, which is the closest choice to 933.33, is 930. As a result, 930 acres is a plausible estimate of the amount of acres on which Mr. Bailey will plant soybeans.
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Arrange the steps in order to simplify the expression
Answer:
Step-by-step explanation:
For step explanation:
1. write the problem
2. distinguishing the neg sign
3. distributing 3
4. moving like terms next to each other through commutative property
5. Combining like terms
6. getting rid of parentheses
como convertir
1/100 a decimales
Answer:
0.01
Is what you get when converting 1/100 into a decimal.
classify the following set of measurements as accurate, precise, both, or neither. checking for consistency in the weight of chocolate chip cookies: 17.27 g, 13.05 g, 19.46 g, 16.92 g
The dimensions listed above are thus neither exact nor precise.
In the given question the chocolate chip cookies weigh 17.27 g, 13.05 g, 19.46 g, and 16.92 g, respectively and we have to classify the following set of measurements as accurate, precise, both, or neither.
It is the "value" that a buyer is prepared to pay for an object, particularly a used or second-hand car; typically, the "real worth" of any used car is a predetermined price tag after determining its value based on its condition and usage.
The chocolate chip cookies weigh 17.27 g, 13.05 g, 19.46 g, and 16.92 g, respectively. This demonstrates that the weight of chocolate chips is not comparable to their actual worth.
The dimensions listed above are thus neither exact nor precise.
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Write the standard equation of a circle having endpoints of a diameter at (-1, 6) and (9,-8).
Please I’ll give brainliest
Answer:
\(r ^{2} = (x-4)^2 + (y+1)^{2}\)
Given:
endpoints at (-1, 6) and (9, -8)
Solve for:
the standard equation of a circle having endpoints of a diameter at (-1, 6) and (9,-8).
Step-by-step explanation:
\(d=\sqrt{(x_{2} -x_{1})^2+(y_{2} -y_{1})^2}\)
\(d=\sqrt{(9-(-1))^2+(-8-6)^2}\)
\(d=\sqrt{10^2+-14^2}\)
\(d=\sqrt{100+196}\)
\(d=\sqrt{296}\)
\(d=2\sqrt{74}\)
\(r=\frac{d}{2}\)
\(r=\frac{2\sqrt{74} }{2}\)
\(r=\sqrt{74}\)
\(Center = (\frac{x_{1}+x_{2} }{2} ,\frac{y_{1}+y_{2} }{2})\)
\(= (\frac{-1+9}{2}, \frac{6+(-8)}{2} )\)
\(=(4, -1)\)
\(Center = (4,-1) \\and\\r = \sqrt{74}\)
Equation:
\((\sqrt{74}) ^{2} = (x-4)^2 + (y+1)^{2}\)
\(r ^{2} = (x-4)^2 + (y+1)^{2}\)
*This took forever so I hoped it helped lol*
An artist's canvas has sides measuring 3x + 5 and 2x + 1 inches.
What is the area of the canvas? Show all work.
The artist laid the canvas flat on the floor and poured some paint in the center. The paint flows at a rate of r(t) = 2t where t represents time in minutes and r represents how far the paint is spreading on the canvas. The area of the paint can be expressed as A[r(t)]= rur?. What is the area of the circle created by the paint?
If the artist wants the circle to be at least 300 in?, will it be that large in 5 minutes? Support your answer with your work.
The area of the circle created by the paint is given by the expression 4πt².
The area of the circle is 100π, which is approximately 314.16 in².
The circle will be at least 300 in² in 5 minutes. Yes.
To find the area of the canvas, we multiply the lengths of its sides:
Area = (3x + 5) × (2x + 1)
Expanding the expression:
Area = 6x² + 3x + 10x + 5
Combining like terms:
Area = 6x² + 13x + 5
The area of the canvas is given by the expression 6x² + 13x + 5.
Now, let's find the area of the circle created by the paint.
The area of a circle is given by the formula A = πr², where r represents the radius.
The radius is given by the spreading of paint, which is r(t) = 2t.
Substituting the value of r(t) into the formula, we have:
A[r(t)] = π(2t)²
Simplifying:
A[r(t)] = π(4t²)
A[r(t)] = 4πt²
Now, let's determine if the area of the circle will be at least 300 in² in 5 minutes.
Substitute t = 5 into the area formula:
A[r(5)] = 4π(5)²
A[r(5)] = 4π(25)
A[r(5)] = 100π
Since 314.16 in² is larger than 300 in², the circle created by the paint will be larger than 300 in² in 5 minutes.
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identify the missing number at the end of the series: 316,323, 332, 343 __
The missing number at the end of the series: 456.
he table shows the heights of students in a group.
Student Height (in inches)
A 45
B 48
C 49
D 40
E 53
What is the mean height of the students in the group?
47 inches
49 inches
51 inches
53 inches
Answer:
47 inches
Step-by-step explanation:
45 + 48 + 49 + 40 + 53 = 235
235/5 = 47