Find equations of the tangent lines to the curve
y =
x − 1
x + 1
that are parallel to the line
x − 2y = 4.
Answers
Related Questions
Help me with this you get 50 points
Answers
Answer:
4.13 by the power of -8 is equal to 0.0000000413 in decimals!
and 0.04 by the power of -5 is equal to 4 by the power of -7 which is equal to 0.0000004 in decimals
Step-by-step explanation:
10 to the power of 1 is 10
10 to the power of 0 is 1
10 to the power of -1 is 0.1
and so on
but here is the quotient:
0.10325
when you divide a number, they flip over and become a number as big as 2500000 TIMES 0.0000000413
1/0.0000004 is 2500000, not 4000000
giving you the answer 0.10325
The fraction 9/15 is an equivalent fraction of
6/20
1/2
3/5
Answers
Answer:
3/5
Step-by-step explanation:
3/5 is equal to 9/15.
\(\implies {\blue {\boxed {\boxed {\purple {\sf { C. \: \frac{3}{5} }}}}}}\)
\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)
➺\( \: \frac{9}{15} \)
➺\( \: \frac{3 \times 3}{3 \times 5} \)
➺\( \: \frac{3}{5} \)
The fraction \( \: \frac{9}{15} \) is an equivalent fraction of \( \: \frac{3}{5} \).
\(\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}\)
(PICTURE INCLUDED) What are the missing parts that correctly complete the proof?
Answers
It is proved that Point A is situated equal distance from Triangle PQA and RQA.
What is bisector?
It is a line that divide an angle or a line in two equal parts. In the given figure, QA is a bisector as it divides the angle PQR.
what is congruent triangle?Triangles are called congruent when they have equal corresponding sides and equal corresponding angles. As shown in figure, the bisector QA creates two congruent triangle PQA and RQA.
it is given, QA is bisector of angle Q, so point A lies equal distance from P and R. According to the figure, APQ and ARQ are right angle.
As per the rules of congruence theorem, triangle PQA and Triangle RQA are two congruent triangles.
hence, A is the same distance from P and R
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Statement Reason
1. QA is the bisector of ∠PQR Given
2. ∠PQA ≅ ∠RQA Definition of bisector
4. ∠QXA ≅ ∠QYA All right angles are congruent
5. QA ≅ QA Given
6.△PQA ≅ △RQA AAS Postulate
8. Point A is equidistance Definition equidistance
from the side of ∠PQR
What is right triangle?
A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangle triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.
Given that point A is lie on the bisector of ∠PQR.
When anything is divided into two equal or congruent portions, usually by a line, it is said to have been bisected in geometry. The line is then referred to as the bisector. Segment bisectors and angle bisectors are the sorts of bisectors that are most frequently taken into consideration.
Therefore QA is the bisector of ∠PQR
Then ∠PQA ≅ ∠RQA
Since ∠QXA and ∠QYA are right angle, therefore they are congruent.
∠QXA ≅ ∠QYA
QA ≅ QA
AAS postulate: The triangles are congruent if two angles and the excluded side of one triangle match two angles and the excluded side of another triangle.
According to AAS postulate,
△PQA ≅ △RQA
Point A is equidistance from ∠PQR.
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2) the labor force participation rate is the number of people in the labor force divided by the number of people in the country who are of working age and not institutionalized. the bls reported in february 2012 that the labor force participation rate in the united states was 66.9% (calculatedrisk). a marketing company asks 120 working-age people if they either have a job or are looking for a job, or, in other words, whether they are in the labor force. what are the expected value and the standard error for a labor participation rate in the company's sample?
Answers
The expected value and the standard error for a labor participation rate in the company's sample is 0.0043
In the given question, the labor force participation rate is the number of people in the labor force divided by the number of people in the country who are of working age and not institutionalized.
The BLS reported in February 2012 that the labor force participation rate in the united states was 66.9% (calculate risk).
A marketing company asks 120 working-age people if they either have a job or are looking for a job, or the labor force.
We have to find the expected value and the standard error for a labor participation rate in the company's sample.
Working age people sample n = 120
The labor force participation rate in the United States was 66.9% = 0.669
The Expected value is μ = p = 0.669
The standard error:
SE = √p(1-p)/n
SE = √0.669(1-0.669)/120
SE = √0.669*0.331/120
SE = √0.2214/120
SE = √0.001845
SE = 0.043
Hence, the expected value and the standard error for a labor participation rate in the company's sample is 0.0043.
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I reallyyy need this first partt helpp!
Answers
Answer:
\({ \bf{c(g) = 5g + 3}} \\ { \bf{c(6) = 5(6) + 3}} \\ { \boxed{ \tt{c(6) = 33}}}\)
what is the plot 40,40 as a fraction
Answers
Answer:
1/2 or like 1/40
Step-by-step explanation:
One of the solutions to x^2 – 2x – 15 = 0 is x = -3. What is the other solution?
x = -5
x = -1
x = 1
x = 5
Answers
Answer:
work is shown and pictured
You buy ice cream that contains 10% milk fat. What fraction of
the ice cream is milk fat?
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Answer:
1/10 or 10/100
will give brainliest plus 10 points
Answers
Answer:
The distance is 7.3 units.
Step-by-step explanation:
Two given points: (-3, 1) and (4, -1)
\(\sf Distance \ between \ two \ points = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)
Here given:
x₂ = 4x₁ = -3y₂ = -1y₁ = 1Applying the formula:
\(\sf d = \sqrt{(4 - (-3))^2 + (-1 - 1)^2}\)
\(\sf d = \sqrt{(7)^2 + (-2)^2}\)
\(\sf d = \sqrt{49 + 4}\)
\(\sf d = \sqrt{53} \ \approx \ 7.28 \ \approx \ 7.3 \ (rounded)\)
Answer:
7.3
Step-by-step explanation:
The distance of a line segment between two points (x1, y1) and (x2, y2) is given by the formula
\(d = \sqrt{(x2-x1)^2 + (y2-y1)^2}\)
If we look at the graph,
the leftmost point of the line is at (-3, 1). Let's call this (x1, y1)
the rightmost point is at (4, -1). Let's call this (x2, y2)
Substituting these values into the distance formula gives us
\(d = \sqrt{(4-(-3)^2 + (1-(1)^2} \\ \\d = \sqrt{(7)^2 + (-2)^2} \\ \\d = \sqrt{49 + 4} \\\\d = \sqrt{(x2-x1)^2 + (y2-y1)^2}\\\\d = \sqrt{53} = 7.28\)
Rounded to one decimal place, this is 7.3
A cone-shaped paper drinking cup is to be made to hold 36 cm3 of water. Find the height and radius of the cup (in cm) that will use the smallest amount of paper. (Round your answers to two decimal places.) height cm radius cm
Answers
The height and radius of the cup are 4.41 cm and 2.07 cm respectively
To minimize the amount of paper used, we need to minimize the surface area of the cup. Let h be the height and r be the radius of the cone. Then we have:
\(Volume of cone = \frac{1}{3} πr^{2} h = 36 cm^{3}\)
Solving for h, we get:
\(h = \frac{108}{(πr^2)}\)
Now we can express the surface area of the cone as:
\(Surface area = πr^2+ πr\sqrt{r^{2}+h^{2} }\)
Substituting the expression for h, we get:
\(Surface area = πr^2+πr \sqrt{(r^{2} +(\frac{108}{(πr^2)^{2}) } )}\)
To minimize this function, we take its derivative with respect to r and set it equal to zero:
\(\frac{d}{dx} (Surface area) = \frac{2πr - 108r }{[(r^2+(\frac{108}{πr^2}))^{0.5} }] - \frac{108π}{r^2 } = 0\)
Simplifying, we get:
\(2r^3 - \frac{108^2}{π} = 0\)
Solving for r, we get:
\(r = (\frac{54}{π})^{\frac{1}{3} }\)
Substituting this value into the expression for h, we get:
\(h = \frac{108}{\frac{54}{π} ^{(\frac{2}{3}π )} }\)
Thus, the height and radius of the cup that will use the smallest amount of paper are:
height = 4.41 cm
radius = 2.07 cm (rounded to two decimal places)
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Peter gets paid $20 just for accepting a yard job. He then earns $3 for every hour spent on gardening. He wants to buy a mountain bike which costs $800. How many hours does he need to work on gardening to earn enough money
Answers
Answer:
260 hours
Step-by-step explanation:
first take out the 20 fixed cost that doesn't change no matter how long he gardens from 800
divide the remainder which is 780 by 3 which is the amount he gets paid for every hour he gardens. He would have to work 260 hours for the bike if he only takes one yard job
It costs $2.80 to make a sandwich at the local deli shop. To make a profit, the deli sells it at a price that is 170% of the cost. The sandwich sells for $___. (Make sure to enter the answer as a decimal number only. Do not enter special characters such as the dollar symbol.)
Answers
Answer:
$4.76
Step-by-step explanation:
It costs $2.80 to make a sandwich at the local deli shop and the deli sells it at a price that is 170% of the cost.
We have to find 170% of the cost of making each sandwich ($2.80):
170/100 * 2.80 = $4.76
The sandwich sells for $4.76
Answer:
ben
Step-by-step explanation:
suppose that two boys named davis, three boys named jones, and four boys named smith are seated at random in a row containing nine seats. what is the probability that the davis boys will occupy the first two seats in the row, the jones boys will occupy the next three seats, and the smith boys will occupy the last four seats?
Answers
The probability that the Davis boys will occupy the first two seats in the row, the Jones boys will occupy the next three seats, and the Smith boys will occupy the last four seats is 7.937×\(10^{-4}\).
There are \(\left[\begin{array}{ccc}9\\2,3,4\\\end{array}\right]\) potential arrangements for the nine boys if we do not make a distinction amongst boys with the same last name. We are curious in the likelihood of a specific one of these configurations.
Probability = \(\frac{1}{\left[\begin{array}{ccc}9\\2,3,4\\\end{array}\right]}\)
= \(\frac{2!3!4!}{9!}\)
= 0.0007937
= 7.937×\(10^{-4}\)
Hence, the probability is 7.937×\(10^{-4}\).
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Two cyclists, A and B, are going on a bike ride and are meeting at a park. They left home at the same time.
Functions A and B give their distance from the park, in miles, after riding for x hours. The functions are defined by these equations:
A(x)= 36.8 - 9.2x
B(x)= 41.4 - 13.8x
Which cyclist lives closest to the park?
Who will be the first to arrive at the park?
How much earlier will that cyclist arrive?
Is there a time when both cyclists are the same distance from the orchard?
Answers
Answer:
Step-by-step explanation:
Which cyclist lives closest to the park?
I'll rewrite both equations as y = mx + b so that they are more clearly understood.
A(x)= - 9.2x + 36.8
B(x)= - 13.8x + 41.4
The negative slopes represent the fact that both boys are headed toward the park from their homes, so as time increases, their distance from the park decreases. The y-intercept represents their starting points from the park (at time = 0, they are still at home, doing homework).
Distance from home: A: 36.8 miles; B: 41.4 miles. Boy A lives closest to the park.
Who will be the first to arrive at the park?
The slopes are their speeds. Boy B cycles faster, but has to cover a greater distance. A(x) and B(x) are 0 when they reach the park, Find the time, x, for each by setting that distance to 0.
A(x)= - 9.2x + 36.8
0 = - 9.2x + 36.8
9.2x = 36.8
x = 4 hours
B(x)= - 13.8x + 41.4
0 = - 13.8x + 41.4
13.8x = 41.4
x = 3 hours
Boy B arrives first.
How much earlier will that cyclist arrive?
From above, Boy B arrives one hour before Boy A. He uses that time flirting with a classmate while waiting.
Is there a time when both cyclists are the same distance from the orchard?
This is asking is there a time, x, in which both equations are wequal to each other:
A(x)= b(x) ?
A(x)=36.8 - 9.2x
B(x)= 41.4 - 13.8x
36.8 - 9.2x = 41.4 - 13.8x
4.6x = 4.6
x = 1 hour
At one hour they are both the same distance from the park.
I’m practicing for my test and I’m confused, can you guys help?
Answers
9514 1404 393
Answer:
y = 170 -3x
Step-by-step explanation:
The marked angles are called "same-side interior angles", or "consecutive interior angles" because they are between the parallel lines and on the same side of the transversal. Such angles are supplementary.
y + (3x +10) = 180
y = 180 -(3x +10) . . . . . subtract everything on the left that is not y
y = 170 -3x . . . . . . . . . simplify
find the value of each variable
Answers
x=5
y= 7.07
.......................................
Answer:
x=5 y=7.07
Step-by-step explanation:
hope it helps you out
Adding center runs to a 2k design affects the estimate of the intercept term but not the estimates of any other factor effects.
True -or- False, why?
Answers
Adding center runs to a 2k design affects the estimate of the intercept term but not the estimates of any other factor effects. This statement is true.
Explanation: In a 2k factorial design, the intercept is equal to the mean of all observations and indicates the estimated response when all factors are set to their baseline levels. In the absence of center points, the estimate of the intercept is based solely on the observations at the extremes of the factor ranges (corners).
The inclusion of center points in the design provides additional data for estimating the intercept and for checking the validity of the first-order model. Central points are the points in an experimental design where each factor is set to a midpoint or zero level. Center points are introduced to assess whether the model accurately fits the observed data and to estimate the pure error term.
A linear model without an intercept is inadequate since it would be forced to pass through the origin, and the experiment would then be restricted to zero factor levels. Center runs allow for a better estimate of the intercept, but they do not influence the estimates of the effects of any other factors.
Center runs allow for a better estimation of the error term, which allows for the variance of the error term to be estimated more accurately, allowing for more accurate tests of significance of the estimated effects.
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-5x+3y>9 help me plesese so i can grids
Answers
Answer:\(x<−95+3y5\)
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
helpp please!
Which equation verifies that the value of x in the diagram is equal to 10?
Answers
the equation that verifies that the value of x in the diagram is equal to 10 is 7 = 1/2(4 + x). Option A is correct
The given diagram is a quadrilateral. Using the mid-segment theorem of shapes;
7 = 1/2(4 + x)
Cross mulltiply
7 * 2 = 4 + x
14 = 4 + x
Subtract 4 from both sides:
14 - 4 = 4 + x - 4
14 - 4 = x
x = 10
Hence the equation that verifies that the value of x in the diagram is equal to 10 is 7 = 1/2(4 + x)
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According to BPT theorem
7=1/2(4+x)Lets see how
1/2(4+x)=74+x=14x=14-4=10Yes this satisfies
Option D
find the distance between (0,6) and (0,8)
Answers
Answer:
2 units.
Step-by-step explanation:
8 - 6 = 2 units.
There is no need to use the distance formula as both points are on the y-axis. Its just a simple subtraction.
\( \huge \mathfrak \red{hey \: there}\)
\(\mathfrak \orange{answer}\)
\( \mathfrak \orange{ explanation}\)
Here,Given,\( x_1\) = 0 \( x_2\) = 0
\( y_1\) = 6 \( y_2\) = 8
\( \sqrt{ {(x_2 - x_1)}^{2} + {(y_2 - y_1)}^{2} } // \sqrt{ {(0 - 0)}^{2} + {(8 - 6)}^{2} } //\( \sqrt{ {(0)}^{2} + {(2)}^{2} } // \( \sqrt{ {(0 + 4} \)
The diameter of an above ground circular swimming pool is 30 ft.
What is the CIRCUMFERENCE of the pool?
Use 3.14 for π.
Answers
The formula to calculate the circumference of a circle is given by \(\displaystyle\sf C=2\pi r\), where \(\displaystyle\sf C\) represents the circumference and \(\displaystyle\sf r\) is the radius of the circle.
Given that the diameter of the above ground circular swimming pool is 30 ft, we can find the radius by dividing the diameter by 2. So, the radius \(\displaystyle\sf r\) would be \(\displaystyle\sf \frac{30}{2}=15\) ft.
Now, substituting the value of \(\displaystyle\sf r\) into the formula, we have:
\(\displaystyle\sf C=2\pi ( 15)\)
Using \(\displaystyle\sf \pi =3.14\), we can calculate the circumference:
\(\displaystyle\sf C=2( 3.14)( 15)\)
\(\displaystyle\sf C=2( 3.14)( 15)\)
\(\displaystyle\sf C=94.2\) ft
Therefore, the circumference of the pool is 94.2 ft.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
ms. garcia asked her students to write the following expressions in standard
Answers
Answer:
nice thats my last name but I do not understand the question
Step-by-step explanation:
Answer: what is the main question?
Step-by-step explanation:
WILL GIVE 50 POINTS IF RIGHT
square abcd has vertices at: a(-7,1) b(-3,5) c(1,1) and d(-3,-3). What is the length of the diagonals?
Answers
A(-7,1)
B(-3,5)
C(1,1)
D(-3,-3)
AC and BD are diagonals both are same
\(\\ \sf\longmapsto AC=\sqrt{1+8)^2+(1-1)^2}\)
\(\\ \sf\longmapsto AC=\sqrt{8^2+0^2}\)
\(\\ \sf\longmapsto AC=\sqrt{64}\)
\(\\ \sf\longmapsto AC={8}units\)
what is the index form of 98
Answers
Answer:2*7^2
Step-by-step explanation:
A system of equations and its solution are given below. System A Complete the sentences to explain what steps were followed to obtain the system of equations below. System B To get system B, the equation in system A was replaced by the sum of that equation and times the equation. The solution to system B the same as the solution to system A.
Answers
Answer:
To get to system B the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 4. The solution to system B is the same as the solution to system A.
Step-by-step explanation:
A system of equations and it’s solution are given below.
System A.
x-y=3
-2x+4y=-2
Solution: (5,2)
Complete the sentences to explain what steps were followed to option the system of equations below.
System B
x-y=3
2x=10
To get to system B the (first/second) equation in system A was replaced by the sum of that equation and the (first/second) equation multiplied by (4....2.....-3) . The solution to system B (is/ is not) the same as the solution to system A.
Solution:
To get system B:
First write the first equation in system A. x - y = 3
Multiply the second equation in system A by 4 and add to the first equation in system A to get:
2x = 10
x = 10/2 = 5
Put x = 5 in x - y = 3
5 - y = 3
y = 5 - 3 =2
The solution to system B is the sam as that of system A
To get to system B the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 4. The solution to system B is the same as the solution to system A.
This question makes exactly no sense.
However, if yall want the answer to
Question:
System A
x-y= 7 -3x+9y = -39 Solutions (4,-3)
Complete the sentences to explain what steps were followed to obtain the system of equations below
x-y= 7 6y= -18
Solution:
To get system B, the second equation in system A was replaced by the sum of that equation and 3 times the first equation. The solution to system B is the same as the solution to system A.
Find the general solution of the following equations by integrating. N.B. Please use A for the first constant of integration, B for the second and C for the third.
(a) y′=4t3+t
Solution: y=
(b) y′′=4t3+t Solution:
y=
(c) d3xdt3=4t3+t
Solution: x=
(d) 2y′=3t+2 Solution:
y=
Answers
a) The general solution is y = t^4/4 + t^2/2 + A, b) The general solution is y = t^5/20 + t^3/6 + At + B, c) the general solution is x = t^6/120 + t^4/24 + At^2/2 + Bt + C d) The general solution is y = 3t^2/4 + t + A/2
(a) To find the general solution of y′=4t^3+t, we need to integrate both sides of the equation with respect to t. This gives us:
y = ∫(4t^3+t)dt = t^4/4 + t^2/2 + A
So the general solution is y = t^4/4 + t^2/2 + A, where A is the first constant of integration.
(b) To find the general solution of y′′=4t^3+t, we need to integrate both sides of the equation twice with respect to t. This gives us:
y′ = ∫(4t^3+t)dt = t^4/4 + t^2/2 + A
y = ∫(t^4/4 + t^2/2 + A)dt = t^5/20 + t^3/6 + At + B
So the general solution is y = t^5/20 + t^3/6 + At + B, where A is the first constant of integration and B is the second constant of integration.
(c) To find the general solution of d^3x/dt^3=4t^3+t, we need to integrate both sides of the equation three times with respect to t. This gives us:
d^2x/dt^2 = ∫(4t^3+t)dt = t^4/4 + t^2/2 + A
dx/dt = ∫(t^4/4 + t^2/2 + A)dt = t^5/20 + t^3/6 + At + B
x = ∫(t^5/20 + t^3/6 + At + B)dt = t^6/120 + t^4/24 + At^2/2 + Bt + C
So the general solution is x = t^6/120 + t^4/24 + At^2/2 + Bt + C, where A is the first constant of integration, B is the second constant of integration, and C is the third constant of integration.
(d) To find the general solution of 2y′=3t+2, we need to integrate both sides of the equation with respect to t. This gives us:
2y = ∫(3t+2)dt = 3t^2/2 + 2t + A
y = (3t^2/2 + 2t + A)/2 = 3t^2/4 + t + A/2
So the general solution is y = 3t^2/4 + t + A/2, where A is the first constant of integration.
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Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options.
8(x2 + 2x + 1) = –3 + 8
x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot
x = –1 Plus or minus StartRoot StartFraction 4 Over 8 EndFraction EndRoot
8(x2 + 2x + 1) = 3 + 1
8(x2 + 2x) = –3
Answers
Step-by-step explanation:
8x2 + 16x + 3 = 0
a is 8 b is 16 c is 3
multiply 8 and 3 = 24
what 2 numbers when multiplied make 24 and when added make 16?
use quadratic formula
a is 8 b is 16 c is 3
x= (-b +- (√b^2-4ac))/2a
x= (-16 +- (√b^2-4(8)(3)))/2(8)
x= (-16 +- (√16^2-96))/16
x= (-16 +- (√256-96))/16
x= (-16 +- (√160))/16
x= (-16 +- (4√10))/16
x= -1 +- (√10/4)
split up the + and -
x= -1 - √10/4 = -0.209431
x= -1 + √10/4 = -1.79057
The volume of Cube A is 125 cubic inches. The face of Cube B has an area of 121 square inches. Which cube has a
greater side length?
...PLEASE HELPPP
Answers
The cube with he greater side length is: cube B.
What is the Volume and Surface Area of a Cube?Volume of a cube = a³
Surface area of a cube = 6a²
Therefore:
Volume of cube A = 125 in.³
125 = a³
√125 = a
a = 5 in.
Side length of Cube A = 5 in.
Surface area of Cube B = 121 in.²
121 = 6a²
√(121/6) = a
√(121/6) = a
10.7 = a
a = 10.7
Side length of cube B = 10.7 in.
Therefore, the cube with he greater side length is: cube B.
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Carla worked 13 1/4 hours making $9.75 per hour. Daniel earned $10.50 per hour and worked 11 3/4 hours. What was the total amount of money earned?
Answers
Answer:
$252.5625
Step-by-step explanation:
9.75×53/4+10.50×47/4
129.1875+123.375
=252.5625
hope it helpsss
can you mark me as the brainliest?
In a sample survey taken of 450 residents of a given community, 180 of them indicated that they shop at the local mall at least once per month.
Construct a 99% confidence interval to estimate the true proportion of the residents who shop monthly at the mall.
Answers
The 99% confidence interval to estimate the true proportion of the residents who shop monthly at the mall is 0.4 with a margin error of 0.059, that is (0.341, 0.459).
What is confidence interval?In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts. So, it may be concluded that there is a 95% likelihood that the real value falls within that range if a point estimate of 10.00 is produced using a statistical model with a 95% confidence interval of 9.50 - 10.50.
The value of p is given as:
p = 180/450 = 0.4
To find the 99% of the confidence interval we use the following formula:
p ± z √p (1 - p)/ n
The value of z = 2.576 for 99% confidence interval.
Substituting the values:
0.4 ± 2.576 √0.4(1 - 0.4)/ 450
0.4 ± 2.576 (0.023)
0.4 + 0.059 and 0.4 - 0.059
0.459 and 0.341
Hence, the 99% confidence interval to estimate the true proportion of the residents who shop monthly at the mall is 0.4 with a margin error of 0.059, that is (0.341, 0.459).
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