from his purchased bags, randy counted 120 red candies out of 500 total candies. using a 90% confidence interval for the population proportion, what are the lower and upper limits of the interval? answer choices are rounded to the thousandths place.

I think the best way to do this is by splitting up the trapezoid into two shapes since it is not a regular trapezoid. We can make a split to form a small right triangle on the left and a regular trapezoid on the right.

Small right triangle on the left:

4 inch side length and 6 inch hypotenuse with the Pythagorean theorem will give us the missing side.

missing side = square root of 6^2-4^2 = [tex]2\sqrt{5}[/tex]

Then the area is [tex]\frac{1}{2}*4*2\sqrt{5}=4\sqrt{5}[/tex]

Regular trapezoid on the right:

Area will be [tex]\frac{6+(17-2\sqrt{5})}{2}*4=46-4\sqrt{5}[/tex]

Summing up the two areas to get the total we have [tex]4\sqrt{5}+46-4\sqrt{5}=46[/tex] in^2.

Hy bro in which class you are?

Yes, the given values constitute a possible bootstrap sample from the original sample.

Bootstrap samples are taken with replacement from the original data set. In other words, it means that each sample consists of a random sample of the same size as the original data set taken from the original data set.

Hence, a given set of values can be a bootstrap sample from the original sample as long as the values are randomly selected from the original sample and with replacement.

The sample is said to be a bootstrap sample from the original data set if it satisfies the following properties:

1. The bootstrap sample must be of the same size as the original data set.

2. Each observation from the original data set must have an equal chance of being selected in each bootstrap sample.3. The bootstrap samples must be independent of each other.

In the given problem, the sample consists of 5 values, namely 84, 71, 79, 96, and 87.

These values can be a bootstrap sample from the original sample as long as the values were randomly selected with replacement from the original sample.

Since the problem does not provide any information on how the sample was obtained, it cannot be determined whether or not it is a bootstrap sample.

Therefore, the answer is that the given values constitute a possible bootstrap sample from the original sample.

For similar question on original sample.

https://brainly.com/question/27829028

#SPJ11

The perimeter of the rectangle is equal to (8x² + 38) units.

The perimeter of a rectangle is the sum of length of its four sides or the sum of its length and breadth, multiplied by two.

length = (4x² - x + 9y) units

breadth = (x + 10y) units

perimeter = 2×(length + breadth)

perimeter of the rectangle = 2(4x² - x + 9y + x + 10y) units

perimeter of the rectangle = 2(4x² + x - x + 9y + 10y) units

perimeter of the rectangle = 2(4x² + 19y) units

perimeter of the rectangle = (8x² + 38y) units

Therefore, the perimeter of the rectangle is equal to (8x² + 38) units.

Read more about rectangle here:https://brainly.com/question/17297081

#SPJ1

Answer: 131.95 cm

Step-by-step explanation:

The diameter of the semicircle is 42 cm, which means the radius is half of that:

r = d/2 = 42/2 = 21 cm

The circumference of a full circle with radius "r" is given by the formula:

C = 2πr

Since this is a semicircle, we need to divide the circumference by 2:

C/2 = πr

Substituting the value of "r" we found above, we get:

C/2 = π(21)

Simplifying:

C/2 = 21π

C = 2(21π)

C ≈ 131.95

Rounding to the nearest hundredth, we get:

C ≈ 131.95 cm

Therefore, the circumference of the semicircle is approximately 131.95 cm.

Answer:

3.6 miles

Step-by-step explanation:

hope this helps!

The point would be in quadrant III since both numbers are negative.

Answer: Quadrant III

Step-by-step explanation:

1. Quadrant I has a positive x and y value

2. Quadrant II has a negative x and positive y value

3. Quadrant III has a negative x and negative y value

4. Quadrant IIII has a positive x and negative y value.

Therefore, the answer is Quadrant III.

Latrell would need to pay 105 to replace the felt on his pool table.

Latrell has a pool table that is 3 feet wide and 7 feet long.

The pool table's felt needs to be replaced, and the cost of the felt per square foot is $5.00.

Let's find out how much it would cost Latrell to replace the pool table's felt.

What is the surface area of the pool table.

To determine the surface area of the pool table,

we need to multiply the length by the width, as shown below:

Surface area = length × width

Surface area = 7 ft × 3 ft

Surface area = 21 square feet

Now that we know the surface area of the pool table, we can determine the cost of the felt.

Latrell will need 21 square feet of felt, and it costs $5.00 per square foot.

We can use the following formula to determine the total cost of the felt:

Total cost of felt = cost per square foot × surface area.

Total cost of felt = $5.00 × 21 square feet.

Total cost of felt = $105

For similar question on surface area of rectangle

https://brainly.com/question/30337697

#SPJ11

Answer:

7:11

Step-by-step explanation:

To find the ratio, we must find the number of toys in the second box and the total number of toys in both boxes. First, we know that there are 7 toys in the second box. So our ratio is looking like this so far: 7:___.

Next, we must find the total. The total is 4+7 because we need to find the total number of toys in both boxes, and 4+7 is 11. The ratio is 7:11. So now, we finished our ratio.

The equation of the line that passes through (6,6) and is parallel to 3x - 2y = 4 is y = (3/2)x - 3.

The formula for equation of line is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

To find the equation of the line passing through (6,6) that is parallel to 3x - 2y = 4.

We need to find the slope of the given line first.

3x - 2y = 4

-2y = -3x + 4

y = (3/2)x - 2

The slope of the given line is 3/2.

Since the line we want to find is parallel to this line, it will have the same slope.

Therefore, we can use the point-slope form of the equation of a line to write the equation:

y - y1 = m( x - x1 )

Plug in m = 3/2 and (x1,y1) : (6,6)

y - 6 = (3/2)(x - 6)

Simplifying:

y - 6 = (3/2)x - 9

y = (3/2)x - 3

Therefore, the equation of the parallel line is y = (3/2)x - 3.

Learn more about equation of line here: brainly.com/question/2564656

#SPJ1

The area of trapezium CDEF is 30 cm².

The area of a trapezium is given by the formula:

Area = (1/2) x (sum of parallel sides) x (distance between the parallel sides)

where;

So the area of trapezium CDEF is calculated as;

A = ¹/₂ (CD + EF ) x CF

where;

DC= 9 - CB

CB  = 20 - (FA + CF + AB )

CB= 20 - ( 6 + 6 + 6 )

CB= 2

DC = 9 - 2 = 7 cm

A = ¹/₂ (7 + 3 ) x 6

A = 30 cm²

Learn more about area of trapezium here: https://brainly.com/question/1463152

#SPJ1

Answer: 3

Step-by-step explanation:

Thus, the values of x for the given secant lines on the circle is found to be: x = 3 cm.

A straight line connecting two points on such a function is known as a secant line.  The average change rate or just the slope across two locations can also be used to describe it.

The slope between two points and the average rate of shift in a function among two points are interchangeable terms.

Given data:

AE = 6 cm, AB = 3 cm, ED = x cm, BC = 15 cm

Now,

AD = AE + ED

AD = 6 + x ...eq 1

AC = AB + BC

AC  = 3 + 15

AC = 18 ....2

As the given two chords are intersecting internally,

AC x AB = AD x AE

18 x 3 = (6 + x) x 6

6 + x = 18 x 3 / 6

6 + x = 9

x = 3

Thus, the values of x for the given secant lines on the circle is found to be: x = 3 cm.

Know more about the secant lines

https://brainly.com/question/30162649

#SPJ1

Complete question:

Solve for x, using the secant lines.

AE = 6 cm, AB = 3 cm,ED = x = [?] cm, BC = 15 cm

Remember a.b = c.d

The diagram is attached.

So according to the question Counseling and employment readiness programs are examples of rehabilitation.

Explain rehabilitation?

The English words "re," which means "once more," and "habitia," which denotes capacity, were combined to create the word rehabilitation. As a result, we can conclude that the lexical significance of the word "rehabilitation" is "recapturing the capacity."

The counseling and employment readiness program are example of rehabilitation only.

Hence, rehabilitation entails providing a sincere or simple-minded person with the necessary assistance in order to enable him to resume living a normal life. For instance, medical assistance, financial assistance, business assistance, etc.

As accidents continue to occur everywhere, rehabilitation has a huge range of applications. Accidents can occur anywhere and at any time, making it challenging to eliminate them.

To know more about rehabilitation visit:

https://brainly.com/question/13584071

#SPJ1

Answer:

the amswer is five apples

The given information says that the number of calls coming to the customer care center of a mobile company per minute is a Poisson random variable with a mean of 5, So the probability that no call comes in a certain minute is 1

                 A Poisson distribution is a probability distribution that shows the probability of a certain number of events occurring within a specific time or space, provided that these events occur at an average rate that is constant throughout the space or time.

             Given a Poisson random variable with mean λ, the probability of observing x occurrences of an event in a certain time interval is given by:

                          P(X = x) = (e^(-λ) * λ^x) / x!,

             where e is Euler's number (approximately equal to 2.71828).

We are required to find the probability that no call comes in a certain minute, i.e., P(X = 0).

Substituting the given values into the Poisson distribution formula:

                     P(X = 0) = (e^(-5) * 5^0) / 0!

                                   = (1 * 1) / 1

                                   = 1

    Therefore, the probability that no call comes in a certain minute is 1.

Learn more about Poisson random variable with a mean at: https://brainly.com/question/9123296

#SPJ11

The volume of solid 1 is 14 cubic units calculated through the formula of volume.

Volume is the maximum quantity of space that an object can contain. Volume, which is essentially a measurement of an object's size, is the quantity of space a thing occupies. A three-dimensional object's volume, which is calculated in cubic units, is the quantity of space it takes up. For instance, glass has a cylindrical form and can hold a certain volume of water.

Let V1 and V2 be the volumes of the congruent solids 1 and 2, respectively. The volume of their union is given

V1 U V2 = V1+V2-V1∩V2

We know that V1 ∩ V2 is a right triangular prism with height √3 and a base that is an equilateral triangle of side length 2. So, the volume can be calculated with the following formula:

V1 ∩ V2 = (1/2) * base * height * heightbase

where base is the area of the equilateral triangle, which is √3, height is √3, and height base is 2. Plugging in these values, we get:

V1 ∩ V2 = (1/2) * √3 * √3 * 2 = 3

Now we can use the given information to find the volume of 1:

25 = V1 + V2 - V1 ∩ V2

25 = V1 + V2 - 3

We also know that V1 = V2, since the solids are congruent.

Substituting the following value with the above equation, we get:

25 = 2V1 - 3

28 = 2V1

V1 = 14

Therefore, the volume of solid 1 is 14 cubic units.

To know more about volume, visit

https://brainly.com/question/1578538

#SPJ1

Answer:

1=26°

2=154°

3=26°

4=26°

5=154°

6=154°

7=26°

The postulate or property that can be used to prove that Kimball is not between Scottsbluff and Sidney is the Segment Addition Postulate.

The Segment Addition Postulate states that for three points A, B, and C, where B is between A and C,

            we have AB + BC = AC.

Given that Kimball is not between Scottsbluff and Sidney, this means that Kimball is either to the west of Scottsbluff or to the east of Sidney.

Let's assume that Kimball is to the west of Scottsbluff.

Then, we can draw the line segment as follows:

Scottsbluff ——————— Kimball ——————— Sidney

Let AB represent the distance between Scottsbluff and Kimball, and let BC represent the distance between Kimball and Sidney. According to the Segment Addition Postulate, AB + BC = AC, where AC is the distance between Scottsbluff and Sidney.

However, if we draw the line segment from Scottsbluff to Sidney without Kimball, we can see that the distance between the two points will always be shorter than the sum of the distances from Scottsbluff to Kimball and from Kimball to Sidney.

This implies that if Kimball is not between Scottsbluff and Sidney, then it is not possible for the segment addition postulate to hold true for the three points.

Therefore, we can use the segment addition postulate to prove that Kimball is not between Scottsbluff and Sidney.

To learn more about “segment addition postulate” refer to the https://brainly.com/question/2134445

#SPJ11

Yes, the quadrilateral is a parallelogram. To prove this using the distance formula method, we need to show that opposite sides of the quadrilateral are equal in length.

We can calculate the distance between each pair of points using the distance formula:

d = [tex]\sqrt{((x2 - x1)^2 + (y2 - y1)^2)}[/tex]

Using this formula, we get:

d(LM) = √[tex]((5 - (-1))^2 + (8 - 6)^2)[/tex] = √(36 + 4) = √(40) = 2√(10)

d(NP) = √[tex]((-8 - 0)^2 + (12 - 2)^2)[/tex] = √(64 + 100) = √(164) = 2√(41)

d(LN) = √[tex]((0 - (-1))^2 + (2 - 6)^2)[/tex] = √(1 + 16) = √(17)

d(MP) = √[tex]((-8 - 5)^2 + (12 - 8)^2[/tex]) = √(169 + 16) = √(185)

We can see that d(LM) = d(NP) and d(LN) = d(MP), which means that opposite sides of the quadrilateral are equal in length. Therefore, the quadrilateral is a parallelogram.

Learn more about Parallelogram:

https://brainly.com/question/970600

#SPJ4

Rolling-circle replication of plasmids proceeds in one direction from a single fixed origin

Explanation:

Rolling-circle replication of plasmids is a replication mechanism in which the replication process moves in one direction from a single fixed origin. Rolling-circle replication is a process that is often seen in circular plasmid DNA. It is a process that begins with an initiator protein, which is responsible for the nicking of a single DNA strand.The initiation point allows the helix to begin unwinding in one direction.

             As the DNA helix unwinds, replication is carried out in a continuous manner, and the helix is wound up behind it. During the replication process, a new strand is synthesized that is attached to the parent strand's 3' end.

                     Rolling-circle replication, on the other hand, is utilized to produce new plasmids that have a single strand, which can then be employed in other cells for the production of proteins or for research purposes.

To know more about plasmids :

https://brainly.com/question/29735179

#SPJ11

Answer:

1.8 kilometers

hope this helped

Answer:

1 8/10 kilometers

Step-by-step explanation:

u keep on adding 3 on to 3/10th 6 times then u get a improper fraction and turn that into a fraction and u get ur answer

hope it helps

The correct option is E. BC and AD, are the two parallel sides of the quadrilateral ABCD.

quadrilateral on  coordinate plane had points:

A(-3, 1) B(1, 4) C(5, 1) D(1, -2).

Find distance between points using distance formulae:

d = √(x2 - x1)²  + (y2 - y1)²

AB = √(1 + 3)²  + (4 - 1)²

AB = √(4)²  + (-3)²

AB = √16 + 9

AB = √25

AB = 5

CD = √(5 - 1)²  + (1 + 2)²

CD = √(4)²  + (3)²

CD = √16 + 9

CD = √25

CD = 5

As, sides Ab and CD are both equal of 5 units each, , then the sides in between them BC and AD will be parallel.

Know more about the quadrilateral

https://brainly.com/question/23935806

#SPJ1

Answer:

D

Step-by-step explanation:

to find the percent discount we should do the follow things:

1) (40-32)/40=0.2=20%

2) (30-24)/30=0.2=20%

3) (50-40)/50=0.2=20%

4) (45-35)/45=0.2222

So the correct answer is D.

Elias calculated the discount in dollars, not in %. 3) 50$-40$=10$, 45$-35$=10$. But he made a mistake

This means that the line represented by f(x-3) has been shifted down by 39 units compared to the line represented by f(x).

In mathematics, the term "Y-intercept" refers to the point at which a graph or line intersects the y-axis. It is the value of the dependent variable (usually represented by "y") when the independent variable (usually represented by "x") is equal to zero.

For example, the equation of a straight line can be written in the form y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept is the value of y when x is equal to zero.

So, if the equation of a line is y = 2x + 5, then the y-intercept is 5, because this is the value of y when x is equal to zero.

To simplify f(x-3), we need to substitute x-3 for x in the expression for f(x):

[tex]f(x-3) = 10(x-3) - 9[/tex]

Expanding the multiplication and simplifying, we get:

[tex]f(x-3) = 10x - 30 - 9[/tex]

[tex]Therefore, f(x-3) = 10x - 39.[/tex]

To determine the slope, we can compare this expression to the standard form of a linear equation, y = mx + b, where m is the slope. We can see that the coefficient of x in the simplified expression is 10, so the slope is 10. This means that the line represented by f(x-3) is steeper than the line represented by f(x).

To determine the y-intercept, we can look at the constant term in the expression. In this case, the constant term is -39. This means that the line represented by f(x-3) has been shifted down by 39 units compared to the line represented by f(x).

To know more about y-intercept, visit

https://brainly.com/question/14180189

#SPJ1

The net worth of the surf shop is $585,074.

The variable and fixed cost of providing commodities are combined to create a total using the total cost formula.

First, we need to add the $20,000 increase in property value to the existing value to get the new property value:

$181,975 + $20,000 = $201,975

Next, we can add up the values of all the assets:

Owned inventory + Cash + Savings account + Accounts receivable + Owned equipment + Property value + Long-term investments

= $32,990 + $219,783 + $148,321 + $11,261 + $35,872 + $201,975 + $138,000

= $788,202

Then we can add up the values of all the liabilities:

Building mortgage + Small business loan + Other debt + Long-term liabilities

= $100,650 + $22,698 + $45,780 + $35,000

= $203,128

Finally, we can subtract the total liabilities from the total assets to find the net worth of the surf shop:

Net worth = Total assets - Total liabilities

= $788,202 - $203,128

= $585,074

Therefore, the net worth of the surf shop is $585,074.

To know more about total cost visit,

https://brainly.com/question/25109150

#SPJ1

As per the query, we have to find a number which is divided by 8 that answers 27, i.e., quotient is 27, and remainder is 4. The number is 220.

In this case, we used it to find the number that was divided by 8 and gave a quotient of 27 and a remainder of 4. As we know the rule:

Dividend = Divisor × Quotient + Remainder

x = 8 × 27 + 4 x = 216 + 4 x = 220.

Hence, the number is 220.

The formula I used is called the division algorithm. It’s a way to divide two numbers and get a quotient and remainder. We can use this formula to solve other division problems with remainders as well.

To know more about division algorithm, refer:

https://brainly.com/question/27893941

#SPJ4

Using the formula of the area of the circle, we know that the base area of the barrel is 3.14 ft² respectively.

All points in a plane that are at a specific distance from a specific point, the center, form a circle.

In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.

In the center of a circle, equal chords subtend equal angles.

The chord is divided in half by the radius drawn perpendicular to it.

Different-sized circles are comparable.

Rectangles, trapezoids, triangles, squares, and kites can all be encircled by circles.

So, the area of the base of the barrel would be taken out by the formula of the circle:

Radius = 2/2

Radius = 1ft

Now, area:
= πr²

= π1²

= π1

= 3.14*1

= 3.14 ft²

Therefore, using the formula of the area of the circle, we know that the base area of the barrel is 3.14 ft² respectively.

Know more about a circle here:

https://brainly.com/question/24375372

#SPJ1

1. A proof is a step-by-step Argument/Explanation.

2. Informal proofs in this class are written in English language.

3. Formal proofs that we will soon learn are written in Fitch notation language.

4. Informal proofs should start with the word given and end with the word therefore.

1. A proof is used to show that a statement is true or that a given statement follows logically from given assumptions. A proof can be used to prove a theorem, corollary, or lemma, or to solve an equation.

2. Informal proofs in this class are written in English in order to make them easier to understand. The proof should explain the reasoning behind each step and provide clear evidence that the conclusion is valid.

3. Formal proofs that we will soon learn are written in Fitch notation language, which is a language used to represent logical proof structures. Fitch notation consists of lines of logical statements, linked together with arrows that indicate the structure of the proof.

4. Informal type of proof is often used in mathematics as it does not require a formal proof. It is used to explain why a certain statement is true. It usually involves making an assumption and then deriving a logical conclusion from that assumption.

To learn more about Formal and Informal Proof link is here

brainly.com/question/29994896

#SPJ4

The complete question is:

1. A proof is a step-by-step ____________ . (Write one word; two possible correct answers.)

2. Informal proofs in this class are written in which language?

3. Formal proofs that we will soon learn are written in which language? _____________

4. Informal proofs should start with the word ______________ and end with the word _________________ .