Mathematics High School

Giorgio surveyed 45 randomly selected shoppers at the mall and found that approximately 24% believe that the food court needs to be remodeled. To the nearest percent, with a confidence level of 99% (z-score 2.58), what is the confidence interval for the proportion of shoppers who believe the food court needs to be remodeled? E = z and C = + E

Answers

Answer 1

Answer with explanation:

Number of People Surveyed (S)= 45

Confidence Level = 99%

Percentage of population who believe that food court needs to be remodeled =24 %

→So, 24% of 45

[tex]=\frac{24}{100}\times 45=10.80[/tex]

= 11 people

Probability of population who thinks that food court needs to be remodeled(P)

[tex]=\frac{11}{45}[/tex]

[tex]Z_{99 percent}= 2.58[/tex]

Confidence level for a population is given by

[tex]=P \pm Z\sqrt{\frac{P*(1-P)}{S}}[/tex]

Substituting the values, of Z, P and S in above equation

[tex]=0.25\pm 2.58\sqrt{\frac{0.25*0.75}{45}}\\\\=0.25 \pm 2.58*0.064549\\\\=0.25 \pm 0.17\\\\= 0.25 - 0.17 , 0.25+0.17\\\\=0.08 , 0.42[/tex]

→→0.08 ≤proportion of shoppers who believe the food court needs to be remodeled≤0.42

→→8%≤proportion of shoppers who believe the food court needs to be remodeled≤42%

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Six = 6

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What do they call the guy who invented the first blue jeans

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Answer:

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Step-by-step explanation:

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The coordinates of the vertices of quadrilateral JKLM are J(-3,2), K(4,-1), L(2,-5) and M(-5,-2).

Find the slope of each side of the quadrilateral and determine if the quadrilateral is a parallelogram.

Answers

Slope of JK=((-1)-2)/(4-(-3)=-3/7 Slope of KL=((-5)-(-1)/(2-4=2 Slope of LM=((-2)-(-5))/(-5-2)=-3/7 Slope of MJ=(2-(-2))/((-3)-(-5))= 2 JK is parallel to LM and KL is parallel to MJ. Therefore JKLM is a parallelogram.

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Ruchi measured the area of her kitchen as,

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Can you help me solve this proof please?

Answers

Okay, so I haven't done proofs in a bit, so when it comes to proving that lines are congruent (or angles), you can try to prove that the triangles are congruent (CPCTC- Corresponding Parts of Congruent Triangles are Congruent). To prove that triangles are congruent, use SSS (Side side side- meaning all sides are congruent), ASA (angle side angle- meaning corresponding angle, then side, then angle are congruent), SSA (2 corresponding sides are congruent and an angle is also congruent) or SAS (you get it). We should use ASA, since obviously it says that ABD and CBD are congruent and obviously BD and BD are congruent and ADB aND CDB are congruent (both are 90degrees). So, we have proven that these traingles are congruent. Now use CPCTC as the last step, since AD and CD are corresponding parts of the triangles.

F. determine if (x + 3) is a factor of (x) = 2x3 + x2 –8x + 21 by using synthetic division. if so, find the other factors.

Answers

since its x + 3 we use -3

-3| 2 1 -8 21 (these are the # without the x)
___________________

-6 15 -21
-------------------------------
2 -5 7 0

Drag the 2 down, multiple it by -3 to get -6
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Since last # is 0 we have a factor.

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If 5(x+7)=-3, then 5x+35=-3

Answers

5(x+7)=-3
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Which of these ratios is NOT in simplest form? 12/5 8/5 7/10 9/15

Answers

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Answers

The width is 150 inches squared

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The quadrilateral that is made is a rhombus. The triangle lines cause the quadrilateral to look like an uneven square or diamond which is also known as a rhombus.

Solve 12g=12(2/3g-1)+11

Answers

Solve for g:12 g = 12 ((2 g)/3 - 1) + 11
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Help please
Solve for r.

s=2πrh

Answers

s/2πh=r

hope this helps u

Here it is
I hope that will help you

find the difference without using a calculator 201-72.35

Answers

the answer is 128.65

Here is your answer:

Since its decimal ma!e your equation look like this:

201.00
72.35-
Its going to make 99 because its zeros but add the 1
10-5=5
Then make another 9:
And another use the 2
10-3=7
10-2=8

Which will equals:

201-72.35=128.65
(Since there's 100. Decimal)

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Answers

Final answer:

The actual length of the organism is 0.32 millimeters, which is obtained by dividing the photograph length (32 mm) by the magnification factor (100).

Explanation:

To determine the actual length of the one-celled organism when the photograph has been enlarged by a factor of 100, we use the formula:

Actual length = Photograph length ÷ Magnification factor

Substituting the given values:

Actual length = 32 mm ÷ 100

Actual length = 0.32 mm

This calculation shows that the actual length of the organism is 0.32 millimeters, which is equivalent to 320 micrometers (320 µm). It's interesting to note that this is well within the size range for many microorganisms, which may require magnification to be seen clearly, such as with a microscope.

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Answers

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Answers

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Measure of angle is equals to 39degrees as per given conditions of supplement and complement angles.

What is angle?

" Angle is defined as when two rays meet at one endpoint known as vertex."

According to the question,

'x' represents the measure of an angle

Measure of its supplement angle = 180 - x

Measure of its complement angle= 90 - x

As per given condition of angle we get,

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Hence, measure of angle is equals to 39degrees as per given conditions of supplement and complement angles.

Learn more about angle here

https://brainly.com/question/13954458

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Answers

let the smaller number be x and the larger be (x+19)
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Nathan and Steven stacked boxes on a shelf. Nathan lifted 13 boxes and Steven lifted 15 boxes. The boxes that Nathan lifted each weighed 12 lb more than the boxes Steven lifted.

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Answers

13(s+12) is your answer
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Answer:

13(s+12) is your answer

Step-by-step explanation:

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Answers

The construction of parallel lines includes copying an angle by creating arcs with a compass.
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Answers

I believe the numbers are 22, 13, and 44.

Hurry When solving a system of equations, Jared found y = x 10 for one equation and substituted x 10 for y in the other equation. Nicole found x = y – 10 for the same equation and substituted y – 10 for x in the other equation. Who is correct? Explain.

Answers

I can say that Jared and Nicole are correct because they manipulated the equation right. They can either write the equation as y as a function of x then substitute it to the y in the other equation and solve for x. They can also write the equation as x as a function of y and substitute it to x in the other equation and solve for y. For both solution, they will still obtain the same answers.

Jared and Nicole both have found the correct value and will get the same solution to the system of equations.

Given information:

Jared found that [tex]y = \dfrac{x} {10}[/tex] for one equation and substituted [tex]\dfrac{x}{10}[/tex] for y in the other equation.

Nicole found [tex]x = y -10[/tex] for the one equation and substituted [tex]y -10[/tex] for x in the other equation.

So, there are two equations. Based on the question, the equation should be,

[tex]x=10y[/tex] and [tex]y-x=10[/tex].

Now, Jared and Nicole have found the value of one variable from one equation and have put it in the other equation.

This method is the substitution method which is used to find the solution of the system of equations.

Therefore, Jared and Nicole both have found the correct value and will get the same solution to the system of equations.

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please help. !!!!!!!!

Answers

Basically you find the data points and fill in the values. For Point J it is (2,4). They want you to do this: (2-4,4-6)...it then becomes (-2,-2).
So
J: (-2,-2)
K: (-1, -4)
I: (-2, -5)
Those are your new points. I hope this helps love! :)

A stop sign is a regular octagon formed by cutting triangles off the corners of a square. if we have a square with sides of length square root 2, what is the side length of the resulting octagon

Answers

the answer is 3.5147 inches

Final answer:

The side length of the resulting octagon is 2√2.

Explanation:

A stop sign is a regular octagon formed by cutting triangles off the corners of a square. To find the side length of the resulting octagon, we can use the Pythagorean theorem. Since the square has sides of length √2, its diagonal can be found by multiplying its side length by √2. This gives us a diagonal length of 2√2. The diagonal of each triangle cut off the corners of the square will be the side length of the resulting octagon. So, the side length of the octagon is 2√2.

Tape diagram to subtract 33-19

Answers

well 33 - 19 = 14 and what do u mean tape diagram?

To subtract 19 from 33 using a tape diagram, draw a rectangle labeled 33, mark off a section labeled 19, and the unshaded difference represents the result, which is 14.

To create a tape diagram to show the subtraction of 33-19, we start by drawing a long rectangle to represent the number 33. We then mark off the length that represents the number 19 on the same tape, indicating the part we want to subtract. Lastly, the remaining part of the tape diagram represents the difference between the two numbers.

Draw a rectangle and label it 33.Mark a section of the rectangle and label it 19.Shade in or distinguish the remaining part of the rectangle; this is the result of 33 minus 19.See the unshaded part, which represents the difference, and count if necessary to find that it equals 14.

The final result is the length of the unshaded part of the tape diagram, which shows the difference when you subtract 19 from 33.

For the given function, find the vertical and horizontal asymptote(s) (if there are any). f(x) = the quantity x squared plus three divided by the quantity x squared minus nine

Answers

The vertical asymptotes are: "x = 3" and "x = -3" .
__________________________________________
The horizontal asymptote is: "y = 2" .
___________________________________________
Explanation:
___________________________________________

f(x) = [tex] \frac{x^{2}+ 3}{ x^{2} - 9}[/tex] ;

We know that "(x² − 9) ≠ 0 ; since we cannot divide by "0" ; so the "denominator" in the fraction cannot be "0" ;

since: 9 − 9 = 0 ; "x² " cannot equal 9.

So, what values for "x" exist when "x = 9" ?

x² = 9 ;

Take the square root of EACH SIDE of the equation ; to isolate "x" on one side of the equation ; and to solve for "x" ;

√(x²) = √9 ;

x = ± 3
__________________________________________
So; the vertical asymptotes are: "x = 3" and "x = -3" .
__________________________________________
The horizontal asymptote is: "y = 2" .
__________________________________________
(since: We have: f(x) = [tex] \frac{x^{2}+ 3}{ x^{2} - 9}[/tex] ;

The "x² / x² " as the highest degree polymonials; both with "implied" coefficients of "1" ; and both raised to the same exponential power of "2".

is it possible to draw three lines in two planes such that all three lines are skew?

Answers

Answer with explanation:

→Two lines in three dimensional plane are said to be Skew if they are neither parallel nor Intersecting.

→Skew lines can be drawn in three dimensional plane only.

→Drawn two skew lines in a Plane , and then drawn another line in a plane and found that , they are skew.

⇒Yes, it is possible to draw three lines in two planes such that all three lines are skew.

Skew lines are non-coplanar lines that are not parallel, and they do not intersect.

In a 2D plane, it is not possible to draw three skew linesIn a 3D plane, it is possible to draw three skew lines

The question does not state the type of plane. So, I will answer this question in 2 ways.

(a) 2D plane

Lines in 2D planes can only be drawn in a flat direction.

This means that, when three lines are drawn in the two planes, one of the following would happen.

The three lines would intersectTwo lines would intersect

See attachment for illustration

So, 3 lines in a 2D plane cannot be skewed lines

(b) 3D plane

Lines in 3D planes can only be drawn in several directions.

The above statement imply that:

Several lines can be drawn where none of the lines would be parallel and none of the lines would intersect.

This means that, when three lines are drawn in the two planes, one of the following would happen.

The three lines would intersectTwo lines would intersectNone of the lines would intersect

The third highlight means that:

It is possible to have skew lines in a 3D plane

Answers

375 numbers of adult tickets were sold

By setting up a system of equations, we find that 375 adult tickets were sold for the school play.

To solve this problem, we need to set up a system of equations using the information provided:

There are only two types of tickets: adult tickets and student tickets.A total of 820 tickets were sold.There were 70 more student tickets sold than adult tickets.

Let's define the following variables:

A for the number of adult tickets.S for the number of student tickets.

According to the problem:

A + S = 820 (since the total number of tickets is 820)S = A + 70 (since there are 70 more student tickets than adult tickets)

Now we substitute the second equation into the first:

A + (A + 70) = 8202A + 70 = 8202A = 750A = 375

So, 375 adult tickets were sold.

Find the lengths of the missing sides if side a is opposite angle a, side b is opposite angle b, and side c is the hypotenuse.

Answers

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