Using the z-distribution, as we are working with a proportion, the 95% confidence interval for the proportion of consumers who would buy the product at it's proposed price is (0.3016, 0.3830).
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
179 out of 523 members indicated they would buy the new product at the proposed price, hence:
[tex]\pi = \frac{179}{523} = 0.3423[/tex]
Then the bounds of the interval are found as follows:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3423 - 1.96\sqrt{\frac{0.3423(0.6577)}{523}} = 0.3016[/tex]
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3423 + 1.96\sqrt{\frac{0.3423(0.6577)}{523}} = 0.3830[/tex]
More can be learned about the z-distribution at https://brainly.com/question/25890103
Can someone help with number 28 and explain how todo it
Base on tangent and secant rule for intersection,
The length of WZ is 12.
The angle of the arc XZ is 39 degrees.
What is tangent of a circleThe tangent to a circle is defined as a straight line that touches the circle at a single point.
Therefore,
WX × WY = WZ²
8 × (10 + 8) = WZ²
8 × 18 = WZ²
WZ² = 144
WZ = √144
WZ = 12
74° = 1 / 2(187 - arc XZ)
74 = 93.5 - arcXZ / 2
-19.5 = - arcXZ / 2
-39 = - arcXZ
-arcXZ = 39°
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Find the volume of the square pyramid shown below.
Given the polar coordinates (4,-pi/3) which of the following rectangular coordinate pairs represents the same point?
a) (-2,2sqrt3)
b) (2,-2sqrt3)
c) (2sqrt3,-2)
d) (2sqrt3, 2)
The rectangular point that represents (4, - pi/3) is the one in option b: (2, -2√3).
How to change the coordinates?
For a point (x, y), the polar coordinates are:
R = √(x^2 + y^2)θ = atan(y/x).Then we must have:
R = 4 = √(x^2 + y^2)
Notice that for all the given points we have the radius equal to 4, so the only part that we care is the angle one:
-pi/3 = Atan(y/x)
tan(-pi/3) = y/x = -1.73
So, y and x must have different signs, and because the angle is negative, we will say that the y-component must be negative.
So the correct option will be b: (2, -2√3)
y/x = -2*√3/2 = √3 = -1.73
If you want to learn more about polar coordinates, you can read:
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Answer: Quiz answer Unit 4 lesson 6
all answers are right
Step-by-step explanation:
1.) Given the polar coordinates (4,-pi3)which of the following rectangular coordinate pairs represents the same point?
Answer is B: (2,-2sqrt3)
2.) Given the rectangular coordinates (-5 5) which of the following polar coordinate pairs in, radians, represent the same points?
the correct option is D. (5√2,3π4)
3.)Rewrite in rectangular form: r=8 sin theta -2 cos theta.
Answer:
The equation in rectangular form is:
4.)Rewrite in polar form: x^2+y^2-6y-8=0
the Answer is B. r^2=6r sin 0+8
5.)The graph of r=-9 cos theta has which of the following characteristics?
Answer:
"circle; diameter of 9; center at (-4.5,0)"
6.)Which conic section is represented by the polar equation r=1/4-6 cos theta?
Answer:
Option 2 - Hyperbola
7.)Identify the horizontal and vertical intercepts of the limaçon represented by the equation r=7+3 cos theta ?
Answer:
vertical intercepts: (7, pi/2) and (-7, pi/2)
horizontal intercepts: (10,0) and (-4,0)
8.) Classify the limaçon represented by the equation r=1/2-1/2 sin theta.
A. Cardioid
9.)Write the equation for the graph of the rose curve.
answer C: r=9 sin 4 theta
10.) Write the equation for the graph of the lemniscate.
answer D: r^2=-49 sin 2theta
(pls don't report for me not explain it took a lot of time typing this and im just trying to help people have less stress on their shoulders :p )
I need to know 219.8 x 0.48.
Answer:
105.504
Step-by-step explanation:
Anyone please help me with this question
Answer:
12
Step-by-step explanation:
these are 2 similar triangles, as due to the construction we have 3 corresponding pairs of equal angles (the 47° angle is a given as equal, then due to the rules of crossing lines the inner angles as S must be equal as opposite angles, and that automatically makes the third angles equal, as the sum of all angles in a triangle must be always 180°).
in similar triangles the length ratio of corresponding sides is the same for all corresponding sides and lengths in these triangles.
so, we can use the sides opposite of the 47° angles to find that ratio :
21/9 = 7/3
and now also the sides 28 and x must have the same ratio :
28/x = 7/3
4/x = 1/3
12/x = 1
x = 12
i want answer
step by step
process by process
who will give correct answer i make him as a brainlists
(Assuming all these lines are parallel to each other)
Angle x = 70, because it is corresponding to the 70 angle.
Angle y = 70, because it is corresponding to x
Angle z = 70, because angle z and angle y are alternate angles
(corresponding angles and alternate angles are equal to each other with the condition of parallel lines)
What is the area of this triangle?
y
5
D
4
F
Enter your answer in the box.
3
2
1
E
units2
Answer: 6 units squared.
Step-by-step explanation: The equation for area of a triangle is 1/2 * length of base * the length of the height.
The length of the base is D to E, which is 3 units.
The length of the height is from F to the base of the triangle, which is 4 units.
Therefore, the area of the triangle would be 1/2 * 3 * 4 = 6 units squared.
Question
Find the slope of the line.
Answer:
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Step-by-step explanation:
The slope of a line is the ratio of the vertical change between two points to the horizontal change between those same two points. When the line is vertical, the horizontal change is zero. That means the slope is some (non-zero) value divided by zero. Division by 0 gives a result that is "undefined."
The slope of a vertical line is "undefined."
help please i don’t know how to do it
Answer:
x + 3y = 15
Step-by-step explanation:
Line is passing through the points [tex](3, \:4) = (x_1,\:y_1)\:and\: (9, 2)=(x_2,\:y_2)[/tex]
Slope of line (m)= (2 - 4)/(9 - 3) = -2/6 = -1/3
Equation of line in point-slope form is given as:
[tex]y-y_1 =m(x-x_1)[/tex]
Plugging the values of [tex]x_1,\: y_1\: and \: m[/tex] in the above equation we find:
[tex]y-4 =-\frac{1}{3}(x-3)[/tex]
[tex]\implies 3y-12 =-x+3[/tex]
[tex]\implies x+ 3y =12+3[/tex]
[tex]\implies \huge {\orange{\boxed{x+ 3y = 15}}}[/tex]
This is the required equation of line in the form [tex]\red{\bold{ax + by = c}} [/tex]
6. Complete a glide translation (x-2, y) and then reflect over x axis. What would be the new ordered pairs for P'and S'?
The glide translation and the reflection over x-axis are illustrations of transformation
The new ordered pairs for P'and S'are (x - 2, -y)
How to determine the new ordered pairs?The given parameters are:
Glide translation (x-2, y)
Reflection over x axis
Assume the coordinates of point P and S are (x,y)
When translated, the new points would be:
(x-2, y)
The rule of reflection over the x-axis is:
[tex](x,y) \to (x,-y)[/tex]
So, we have:
[tex](x - 2,y) \to (x - 2,-y)[/tex]
Hence, the new ordered pairs for P'and S'are (x - 2, -y)
Read more about transformation at:
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Which statement can be represented by the equation 2/5
x+9=9?
—
Two-fifths of nine is a number.
Two-fifths of a number is nine.
Nine more than two-fifths of a number is nine.
A number plus nine is the same as two-fifths of nine.
Answer:
Nine more than two-fifths of a number is nine.
Step-by-step explanation:
we know that the total will be 9, and that 2/5x is equivalent to 2/5 of a number (so it should be 2/5n) and we are adding 9 more.
In circle L with m KLM = 82°, find the angle measure of minor arc KM.
K
M
L
O
Answer: m KM=
Submit Answer
attempt 1 out of 2
The angle measure of minor arc KM is 41 degrees
Circle geometryFrom the given diagram, we have the following parameters
mKLM = 82 degrees
Required
arcKM
Since the angle at the vertex is twice that of the intercepted arc, then:
<KLM = 2(arcKM)
arcKM = <KLM/2
arcKM = 82/2
arcKM = 41 degrees
Hence the angle measure of minor arc KM is 41 degrees
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In the 2004 Summer Olympics, the U.S. won 11 more medals than Russia. Together they won 195 medals. How many medals did the U.S. win?
Answer:
The U.S. won 101 medals.
Step-by-step explanation:
101
Hope it helped and have a great day!
I NEED THIS FAST a sample of an unknown liquid has a volume of 30.0 mL and a mass of 6 g. whats the density ? show your work and exaplain how you determined this value i will give you 20 branilest
Answer:
The density is 0.2g/mL^2.
Step-by-step explanation:
Use the formula: D=[tex]\frac{m}{V}[/tex] (where v=volume, and m=mass). The mass of the liquid is 6g. The volume of the liquid is 30mL.To determine density, insert the values into the formula ([tex]D=\frac{6g}{30mL}[/tex]).Divide: 6g/30mL= 0.2g/mL^2
which expression is equivalent to 1/4m+3/4m-3/8(m+1)?
A) 5/8m+3/8
b) -5/8m-3/8
c)3/8m+5/8
d)3/8m-5/8
Answer: 5/8m-3/8
Step-by-step explanation:
Two six-sided dice are rolled and their product is taken. How many elements are in the subset of even numbers?
12 in all:
{2, 4, 36, 6, 8, 10, 12, 16, 18, 20, 24, 30}
Answer:
Step-by-step explanation:
A square has a side that measures 5. 5 units. What is the area of a circle with a circumference that equals the perimeter of the square? Use 3. 14 for π, and round your answer to the nearest hundredth. 38. 47 units2 94. 99 units2 153. 86 units2 379. 94 units2.
The area of the circle whose circumference is equal to the perimeter of the square is 38.47 squared units.
What is circumference and area of the circle?Circumference of the circle is the length of its boundary. It can given as,
[tex]P=2\pi r[/tex]
The area of the circle is the space occupied by it. It can be given as,
[tex]A=\pi r^2[/tex]
Here (r) is the radius of the circle.
A square has a side that measures 5. 5 units. The perimeter of the square is the equal to the 4 times of its side. Thus its perimeter is,
[tex]P=4\times5.5\\P=22\rm\; units[/tex]
The circumference of the circle is equal to the perimeter of the square. Thus the radius (r) of circle is,
[tex]P=2\pi r\\22=2\times\pi r\\r\approx3.5\rm\; units[/tex]
The area of this circle is,
[tex]A=\pi r^2\\A=3.14\times (3.5)^2\\A=38.465\\A\approx 38.47\rm\; units^2[/tex]
Hence the area of the circle whose circumference is equal to the perimeter of the square is 38.47 squared units.
Learn more about the circumference and area of the circle here;
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Abdul is working on a project and has cut a number of wooden blocks of equal size that are represented by this right rectangular prism. He now needs to cover the wooden blocks on all sides with green fabric. How much fabric does Abdul need in order to cover 8 of these blocks?
4cm
22cm
32cm
176cm
Please show your work. Thanks!
The amount of fabric needed to cover 8 blocks is 192cm.
How much fabric is needed to cover 8 blocks?
In order to determine the amount of fabric needed, the total surface area of the rectangular prism has to be determined. The total surface area of the rectangular prism is the sum of the areas its faces.
Total surface area of a rectangular prism = 2 (lw + wh + lh)
where:
l = lengthw = widthh = height2 x [(4 x 1/2) + (1/2 x 2) + (4 x2)] = 24cm
Fabric needed fo 8 blocks = 24 x 8 = 192cm
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Answer:
The amount of fabric needed to cover 8 blocks is 192cm.
How much fabric is needed to cover 8 blocks?
In order to determine the amount of fabric needed, the total surface area of the rectangular prism has to be determined. The total surface area of the rectangular prism is the sum of the areas its faces.
Total surface area of a rectangular prism = 2 (lw + wh + lh)
where:
l = length
w = width
h = height
2 x [(4 x 1/2) + (1/2 x 2) + (4 x2)] = 24cm
Fabric needed fo 8 blocks = 24 x 8 = 192cm
Step-by-step explanation:
of 34 cars in a parking lot 20 are green 8 are gold and the rest are black what are the odds against the next car leaving the lot being black
Answer:
3/17=.18
Step-by-step explanation:
There is a .18 or 3/17 chance that a car leaving will be black.
Miras kitchen sink holds up to 103.468 liters of water. Round this amount to the nearest liter
Answer:
103
Step-by-step explanation:
To find the nearest liter look at the 4th digit in the actual number, 103.468. Since the value of 4 is less than 5 you'll round down to 0 making the nearest liter 103.
The measure of supplementy is an angle which is (a) 36° (b) 144° (c) 79° (d) 101°
Answer:
Supplementary angles add up to = 180. Whatever the value of x is must add up with one of these answer choices to = 180 degrees. I am not provided this information, so this is all I got.
Step-by-step explanation:
Rick is a car salesman and is paid off of a commission rate of 12%. If he sells $120,000 worth of cars, how much money will he make?
If Rick was to sell $120,000 worth of cars, he would make approximately $14,400. Hope this helps - Have an amazing rest of your day :)
Tara runs along a straight running path at a constant rate of 410
feet per minute. Which graph represents Tara's run?
Please can you help me ?!asap!!!
Answer:
Looks like A
Step-by-step explanation:
1. In the four graphs below, determine what transformation was used to transform AABC
to AA'B'C'. Then, for each one, write the
correct description of the transformation
-along with the algebraic notation
the graph is in the image
Answer:
first would be a translation of (2,-3) second one is another 90 degree rotation counter clockwise.
hello please help me with this
Answer:
physical contact needed
Step-by-step explanation:
need to see you
Please help math.......100pts
Answer:
8000Step-by-step explanation:
Solve as requested in the question, round each number:
3008 ≈ 30005243 ≈ 5000The sum is:
3000 + 5000 = 8000Answer:
8000
Step-by-step explanation:
3008 rounded to nearest thousand: 30005243 rounded to nearest thousand: 5000⇒ 3008 + 5243 ≈ 3000 + 5000
⇒ 3000 + 5000 = 8000
How is the graph of the parent function, y = StartRoot x EndRoot transformed to produce the graph of y = StartRoot negative 2 x EndRoot? It is translated horizontally by 2 units and reflected over the x-axis. It is translated horizontally by 2 units and reflected over the y-axis. It is horizontally compressed by a factor of 2 and reflected over the x-axis. It is horizontally compressed by a factor of 2 and reflected over the y-axis.
Answer:
The answer is D
Step-by-step explanation:
The parent function will be reflected over the x-axis, compressed by a factor of 0.4, and translated into 2 units right.
It is given that the two functions one is the parent function [tex]\rm y = \sqrt[3]{-x}[/tex] and the transformed function [tex]\rm y = -0.4 \sqrt[3]{-x-2}[/tex].
It is required to find the transformation rules.
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function.
We have parent function:
[tex]\rm y = \sqrt[3]{-x}[/tex]
and transformed function:
[tex]\rm y = -0.4 \sqrt[3]{-x-2}[/tex]
If we multiply the parent function with a negative value it will f(x) over the x axis.
By the transformation rules of the function y = -f(x) reflects f(x) over x-axis.
After applying the transformation to the parent function:
[tex]\rm y = -\sqrt[3]{-x}[/tex]
By the transformation rules of the function if multiply the function with less than the unit value it will be compressed by the multiplied factor ie.
y = k f(x) and k<1, the function will be compressed by the k factor hence:
[tex]\rm y = -0.4\sqrt[3]{-x}[/tex] (after applying the second transformation)
As we can see the transformed function is subtracted by -2
By rules of transformation, for y=f(x-A) it would be a horizontal translation of 'A' unit to the right.
After applying this transformation we get:
[tex]\rm y = -0.4 \sqrt[3]{-x-2}[/tex] which is a transformed function derived after applying the transformation to the parent function.
Thus, the parent function will be reflected over the x-axis, compressed by a factor of 0.4, and translated into 2 units right.
Learn more about the function here:
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2a=11.4 a= b-5=7.2 b= 3.4+c =10 c= 5.7divided by d= 1.9 d=
Hey there!
2a = 11.4
DIVIDE 2 to BOTH SIDES
2a/2 = 11.4/2
CANCEL out: 2/2 because it give you 1
KEEP: 11.4/2 because it give you the value of a-value
NEW EQUATION: a = 11.4/2
SIMPLIFY IT!
a = 5.7
Therefore, your answer is: a = 5.7
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
The table shows the number of points Malik and Alexia scored while playing a video game together.
The table is titled Video Game Scores. The table has two columns and three rows. The first column is labeled Malik's Score represented by m, the second column is labeled Alexia's Score represented by a. Malik scored sixty, Alexia scored ninety. Malik scored seventy, Alexia scored one hundred. Malik scored eighty, Alexia scored one hundred ten.
Which equation relates Alexia’s score, a, to Malik’s score, m
Answer:
a = m+30
Step-by-step explanation:
malik is always 30 points under alexia so in order for malik to be equal to alexia he would have to add an additional 30. i hope this helps :)
Help help help please !!!!
No LINKS !!!
Answer:
$55,200
Step-by-step explanation:
Area of yard = length * breadth
So,
Area = 50*46 = 2300 sq. feet
Again,
Cost per sq. feet = $24
So, For 2300 sq. feet,
Total cost = $24*2300 = $55,200
Hope it helped!