study results indicate that the mean amount of time people live in the same house s between 5.5 and 13.5 years. what is the study's margin of error?

Answer:

Questions and answers

Doubtnut

Question

How many ways can 2 identical red chairs and 4 identical blue chairs be arranged in one row ?

Answer · 21 votes

There is a formula that applies to this situation. The number of distinct permutations of n things, a of which are indistinguishable, b of which are indistinguishable, atc., is `(n!)/(a!b!...)` Here there are 6 chairs, 2 of which are indistinguishable and 4 of which are indistinguishable, so the number of permutations is `(6!)/(2!4!)=(6.5.4.3.2.1)/(2.1.4.3.2.1)=(6.5)/(2)=15`

More

Brainly.in

Question

18 blue chairs and 27 red chairs have to be arranged in rows in such a way that there are an equal no. of chairs of the same colour in each row, what is the maximum no. of chairs that can be arranged in each row and how many rows can the chairs be arranged in?

Answer · 27 votes

Answer: highest number of chairs in each row is 9Total rows is 5Step-by-step explanation:Find the Highest Common Factor of 18 and 27The HCF of 18, 27 is 9Thus the maximum no of chairs that can be arrranged in each row is 9Total rows is (18+27)/9 = 5Please brainlist my answer, if helpful!

More

There are 15 different ways to arrange the 2 identical red chairs and 4 identical blue chairs in one row.

To find the number of ways the 2 identical red chairs and 4 identical blue chairs can be arranged in one row, we need to calculate the total number of arrangements considering that the chairs of the same color are identical.

The total number of chairs is 2 red + 4 blue = 6 chairs.

Since the chairs of the same color are identical, the arrangements will be different only if the arrangement of colors is different. Therefore, we need to find the number of arrangements of 2 red and 4 blue chairs.

To calculate this, we can use the formula for permutations with repetition. The formula is given by:

P(n; n1, n2, ..., nk) = n! / (n1! * n2! * ... * nk!)

Where:

n is the total number of objects (chairs in this case).

n1, n2, ..., nk are the number of objects of each type (number of red and blue chairs in this case).

In our case, we have 6 chairs in total, and we want to arrange 2 red and 4 blue chairs. So, the number of arrangements is:

P(6; 2, 4) = 6! / (2! * 4!)

          = (6 * 5 * 4 * 3 * 2 * 1) / (2 * 1 * 4 * 3 * 2 * 1)

          = 15

Therefore, there are 15 different ways to arrange the 2 identical red chairs and 4 identical blue chairs in one row.

To know more about chairs:

https://brainly.com/question/25590988

#SPJ2

The numbers that do not form a fact family are solved

Given data ,

A fact family consists of a set of related addition and subtraction facts that use the same numbers. For example, the numbers 3, 5, and 8 form a fact family because:

3 + 5 = 8

5 + 3 = 8

8 - 5 = 3

8 - 3 = 5

Numbers that do not form a fact family are any set of numbers that do not follow this pattern. For example, the numbers 2, 4, and 7 do not form a fact family because no combination of addition and subtraction using these numbers produces the other two numbers.

To learn more about fact family click :

https://brainly.com/question/11585082

#SPJ1

Answer:

i woould say but

a

Answer:

x≤−7

Step-by-step explanation:

Let's solve your inequality step-by-step.

3(x−4)≥5x+2

Step 1: Simplify both sides of the inequality.

3x−12≥5x+2

Step 2: Subtract 5x from both sides.

3x−12−5x≥5x+2−5x

−2x−12≥2

Step 3: Add 12 to both sides.

−2x−12+12≥2+12

−2x≥14

Step 4: Divide both sides by -2.

−2x

−2

≥

14

−2

x≤−7

Answer:

x≤−7

The time it will take to cover another distance of 145 miles is; 2.5 hours

We are given;

First distance driven = 348 miles

Time taken for first distance = 6 hours

Formula for speed is;

Speed = Distance/Time taken

Thus;

Speed for fist distance = 348/6

Speed = 58 mph

Now, at the same speed she wants to cover another distance 0f 145 miles. Thus;

Time taken = distance/speed

Time taken = 145/58

Time taken = 2.5 hours

Read more about proportion word problems at; https://brainly.com/question/13818690

#SPJ1

Using binomial probability, the probability of having exactly 4 dice on 4, 5 or 6 is 5/32.

Using binomial probability, we can calculate the probability that out of the 5 dice thrown, the probability of having exactly 4 dice on 4, 5 or 6 can be calculated as;

\(P(X=k) = C(n, k) * p^k * (1-p)^(^n^-^k^)\)

In the given data;

n = 5

k = 4

p = 3/6 = 1/2

Using the binomial probability formula, we can calculate:

P(X=4) = C(5, 4) * (1/2)⁴ * (1 - 1/2)⁵⁻⁴

P(X=4) = 5 * (1/2)⁴ * (1/2)¹

P(X=4) = 5 * (1/16) * (1/2)

P(X=4) = 5/32

Therefore, the probability that exactly 4 dice land on a 4, 5, or 6 when rolling five fair dice is 5/32.

Learn more on binomial probability here;

https://brainly.com/question/15246027

#SPJ4

The expected loss per game is approximately -$0.31.

The terms we need to consider in this problem are: standard 52-card deck, face cards, and expected gain or loss.
To find the expected gain or loss per game, follow these steps:

1. Determine the probability of drawing a face card.
There are 12 face cards (Kings, Queens, and Jacks) in a standard 52-card deck. So the probability of drawing a face card is \(\frac{12}{52}\), which simplifies to \(\frac{3}{13}\).

2. Determine the probability of drawing a non-face card.
There are 40 non-face cards in the deck (52 cards - 12 face cards). So the probability of drawing a non-face card is \(\frac{40}{52}\), which simplifies to \(\frac{10}{13}\).

3. Calculate the expected gain or loss per game.
Expected gain or loss = (Probability of drawing a face card x gain from drawing a face card) + (Probability of drawing a non-face card x loss from drawing a non-face card)

4. Simplify the equation.
Expected gain or loss = \((\frac{3}{13} (2))  +  (\frac{10}{13} (-1))\)
Expected gain or loss = \(\frac{-4}{13}\)

Your expected loss per game is approximately -$0.31 (rounded to two decimal places).

To Know more about "probability" refer here:

https://brainly.com/question/30034780#

#SPJ11

Answer:

1 is

for 1 disc is $16.50

for 2 disc is $33.00

for 3 disc is $49.50

and

2 is

for 1 book is $6.95

for 2 books is $13.90

for 3 books is $20.85

Step-by-step explanation:

brainliest pls

Therefore, the angle between the biker's line of sight and the trail is changing at a rate of approximately 0.039 radians per second when she is 25 feet away from the tree.

To solve this problem, we need to use trigonometry and calculus. Let's call the angle between the biker's line of sight and the trail θ, and let's call the distance from the traffic cone to the aspen tree x. Then we can use the tangent function to relate θ and x:

tan(θ) = x/15

We can also use the Pythagorean theorem to relate x and the distance d between the biker and the tree:

d^2 = x^2 + 25^2

Taking the derivative of both sides with respect to time t, we get:

2d (dd/dt) = 2x (dx/dt)

Now we can substitute the equation for x in terms of θ and solve for (dθ/dt):

tan(θ) = x/15

sec^2(θ) (dθ/dt) = (1/15) (dx/dt)

(dθ/dt) = (1/15) (dx/dt) sec^2(θ)

We can use the equation for d to solve for x:

x^2 = d^2 - 25^2

2x (dx/dt) = 2d (dd/dt)

(dx/dt) = (d/dd) (sqrt(d^2 - 25^2)) (dd/dt)

(dx/dt) = (d/ sqrt(d^2 - 25^2)) (dd/dt)

Now we can substitute this expression for (dx/dt) into the previous equation and evaluate it when d = 25 and θ = arctan(15/25):

(dθ/dt) = (1/15) [(d/ sqrt(d^2 - 25^2)) (dd/dt)] sec^2(arctan(15/25))

(dθ/dt) = (1/15) [(25/ sqrt(25^2 - 25^2)) (13)] sec^2(arctan(15/25))

(dθ/dt) = (13/375) sec^2(arctan(15/25))

(dθ/dt) ≈ 0.039 radians per second

To know more about line of sight,

https://brainly.com/question/14883123

#SPJ11

Answer:

h = 12.03

Substitute 22÷7 for pi.

h = V ÷ πr²

h = 340 ÷ (22÷7) × 3²

   ≈ 12.03

Answer:

3 Because there are only three bells that aren't being run there for three additional ways that the bells could be rung

Answer:

3

Step-by-step explanation:

\(\frac{3+0}{2\times1}\)

\(3+(\frac{0}{2})\times1\)

\(\mathrm{Divide}\)

\({0\div2}=0\)

\(3+0\times1\)

\(3+0=3\)

\(3\times1=3\)

Lenvy~

The answers to the questions involving trigonometry are: 90, BC/AB ÷ BC/AB = 1, g = 6.5, <I = 62 degrees, h= 13.8, 12.0, x = 6.8, x = 66.4, 160.6, The pole = 6.7

Trigonometric ratios are special measurements of a right triangle, defined as the ratios of the sides of a right-angled triangle.  There are three common trigonometric ratios: sine, cosine, and tangent

For page 3 question 3,

a) <A + <B = 90 since <C = right angle

b) SinA = BC/AB and CosB = BC/AB

The ratio of the two angles BC/AB ÷ BC/AB = 1

I notice that the ratio of sinA and cosB gives 1

b) The ratio of CosA and SinB will give

BC/AB ÷ BC/AB

= BC/AB * AB/BC = 1

For page 5 number 3

Tan28 = g/i

g/12.2 = tan28

cross multiplying to have

g = 12.2*tan28

g = 12.2 * 0.5317

g = 6.5

b) the angle I is given as 90-28 degrees

<I = 62 degrees

To find the side h we use the Pythagoras theorem

h² = (12.2)² + (6.5)²

h² = 148.84 +42.25

h²= 191.09

h=√191.09

h= 13.8

For page 6

1) Sin42 = x/18

x=18*sin42

x = 18*0.6691

x = 12.0

2) cos28 = 6/x

xcos28 = 6

x = 6/cos28

x [= 6/0.8829

x = 6.8

3)  Tan63 = x/34

x = 34*tan63

x= 34*1.9526

x = 66.4

4) Sin50 123/x

xsin50 = 123

x = 123/sin50

x = 123/0.7660

x =160.6

5)  Sin57 = P/8

Pole = 8sin57

the pole = 8*0.8387

The pole = 6.7

Learn more about trigonometrical ratios on https://brainly.com/question/23130410

#SPJ1

Answer:

5.8 × 10^(6) is greater.

Step-by-step explanation:

The 2 numbers she wants to compare are;

5.8 × 10^(6) and 2.32 x 10^(7)

Now,for her to compare easily both numbers will need to have the same powers of 10.

To this effect, let's convert the power of ten of the second number to the power of 6.

We will divide by 10 to get it.

Thus; 2.32 x 10^(7) ÷ 10 = 0.232 × 10^(6)

Comparing 0.232 × 10^(6) to 5.8 × 10^(6), we can see that they have same power of 10 but the greater number that precedes the power of 10 is 5.8.

Thus, 5.8 × 10^(6) is greater.

Answer 145°

Step-by-step explanation:

( 5x+5 ) + 40° = 15x - 5

[ Reason : exterior extended angle of a triangle is always equal to the sum of two non adjacent interior angles ]

( 5x+5 ) + 40° = 15x - 5

i.e, x= 10°

put this value of x on <PGF

= 15x - 5

= 15 * 10 - 5

=145°

Answer:

The reason why this may be happening is because the expenses may be higher than the amount of revenue that the business is making, the cost of rent, paying the employees and running the business may be higher than the revenue that is being made. The inflows may be higher than the outflows, in which case the profit is lower than the loss and may be the reason why the owner is having trouble keeping the business running.

The ratio of the time taken by Brian and Colin to mark exam papers is 43 minutes to 1 hour. Hence, the simplified ratio of the time taken by Brian and Colin to mark exam papers is 43:60.

To express the times taken by Brian and Colin as a ratio, we need to convert their times to a common unit. Since both Brian and Colin's times are given in minutes and hours respectively, we need to convert Colin's time to minutes.

We know that 1 hour is equal to 60 minutes. Therefore, Colin's time of 1 hour can be expressed as 60 minutes.

Now, the ratio of Brian's time to Colin's time is 43 minutes to 60 minutes. However, we can simplify this ratio by dividing both numbers by their greatest common divisor, which is 1.

Dividing 43 and 60 by 1 gives us the simplified ratio of 43:60. This ratio cannot be further simplified since there is no common factor greater than 1 between 43 and 60.

Hence, the simplified ratio of the time taken by Brian and Colin to mark exam papers is 43:60.

Learn more about ratio here:

https://brainly.com/question/13419413

#SPJ11

Percent represents the time Joey spent on his homework from Monday to Wednesday is 0.0114 % .

Given :-

On Monday Joe finished his homework in 32 mins

On Wednesday joe finished his homework in 2 mins .

Divide the number of hours John spent doing math homework by the number of hours John spent doing homework to obtain the fraction

n of his total time spent doing homework did he spend .

To find the percentage that how much it represents the time Joey spent on his homework from Monday to Wednesday will be

= 32 / 28

=  1.1428 %

To find the percentage we have to divide it by 100 which means

1.14 X  1 / 100

= 0.0114 %

To learn more the percantage .

brainly.com/question/20626365

#SPJ4

Answer:

the zeros are x= -9 and x=5

Step-by-step explanation:

Answer:

.

Step-by-step explanation:

Answer:

Babysitting your cousins

Step-by-step explanation:

Becauss 15/1.5 is 3. And 60/8 is 7.5

Answer:

l=7.65

Step-by-step explanation:

Square perimeter: 4l, where l is the length on each side.

4l=30.6

l=7.65

Answer:

Since the side lengths of a square are all equal the answer is 30.6 / 4 = 7.65 cm. We divide by 4 because a square has 4 sides.

As per the unitary method, there are 64.29 weeks does it take to empty the lake.

The term unitary method is known as a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Here we have given that officials begin to release water from a full man-made lake at a rate that would empty the lake in 12 weeks, but a river that can fill the lake in 25 weeks is replenishing the lake at the same time.

And we need to find the number of weeks does it take to empty the lake

While we looking into the given question, we have identified the following values,

=> Empty rate = 1/18 job/week

=> Fill rate = 1/25 job/week

Then together rate is written as 1/x

Then the equation of the given situation is written as,

=> rate - rate = together rate

When we apply the values, then we get,

=> 1/18 - 1/25 = 1/x

Now we have to multiply thru by 18*25x, then we get,

=> 25x - 18x = 18*25

=> 7x = 18*25

Therefore, x = 64.29 weeks.

To know more about Unitary method here.

https://brainly.com/question/28276953

#SPJ4

the answer is (d) 0.03.

Let X be the number of green balls drawn in three successive draws. We can find the probability distribution for X using the binomial distribution formula:

P(X = k) = (n choose k) * \(p^k\) *\((1-p)^(^n^-^k^)\)

where n is the number of draws (in this case, n = 3), p is the probability of drawing a green ball on each draw (p = 2/6 = 1/3), and (n choose k) is the number of ways to choose k green balls out of n draws, given by the binomial coefficient:

(n choose k) = n / (k * (n-k))

For k = 0, 1, 2, and 3, we have:

P(X = 0) = (3 choose 0) * \((1/3)^0 * (2/3)^3\) = 8/27 ≈ 0.296

P(X = 1) = (3 choose 1) *\((1/3)^1 * (2/3)^2\) = 12/27 ≈ 0.444

P(X = 2) = (3 choose 2) *\((1/3)^2 * (2/3)^1\) = 6/27 ≈ 0.222

P(X = 3) = (3 choose 3) * \((1/3)^3 * (2/3)^0\) = 1/27 ≈ 0.037

The total probability distribution for the number of green balls is therefore:

P(X = 0) = 0.296

P(X = 1) = 0.444

P(X = 2) = 0.222

P(X = 3) = 0.037

So the answer is (d) 0.03.

To know more about  probability distribution, visit: brainly.com/question/14210034

#SPJ4

The Transformation of the function f(x) = log₅(x) to g(x) = 3 - log₅(x) is a vertical reflection followed by a vertical translation.

(i) The original function f(x) = log₅(x) is first reflected over the x-axis, which changes the sign of the function. The result is a graph that is upside-down compared to the original. the function becomes -log₅(x)  .

(ii) Next, the transformed function g(x) is shifted up by 3 units, which results in the vertical translation of the graph. This transformation changes the range of the original function, but the shape of the graph remains unchanged.

So , the function becomes g(x) = 3 - log₅(x).

Therefore , The transformation of f(x) to g(x) changes the orientation of the graph and shifts it vertically, but does not affect its shape.

The given question is incomplete , the complete question is

The function f(x) = log₅(x) , is transformed to g(x) = 3 - log₅(x).

Describe the transformation.

Learn more about Transformations here

https://brainly.com/question/10377001

#SPJ4

Answer:

x = ±4.5

Step-by-step explanation:

4x² - 15 = 66

Add 15 to both sides.

4x² = 81

Divide both sides by 4.

x² = 20.25

Take the square root of both sides.

x = ±4.5

Hope this helps!

Answer:

The expression is equivalent to\(A=\sqrt[4]{\frac{24\ x^{6}\ y}{128\ x^{4}\ y^{5}}}\) is  \(\frac{\sqrt[4]{3}}{2}}\times \frac{\sqrt{x}}{y}\).

Step-by-step explanation:

The expression provided is:

\(A=\sqrt[4]{\frac{24\ x^{6}\ y}{128\ x^{4}\ y^{5}}}\)

Simplify the expression A as follows:

\(A=\sqrt[4]{\frac{24\ x^{6}\ y}{128\ x^{4}\ y^{5}}}\)

   \(=\sqrt[4]{\frac{24}{128}\times x^{(6-4)}\times y^{(1-5)}}\\\\=\sqrt[4]{\frac{3}{16}\times x^{2}\times y^{-4}}\\\\=[\frac{3}{16}\times x^{2}\times y^{-4}]^{1/4}\\\\=[\frac{3}{16}]^{1/4}\times x^{(2\times (1/4))}\times y^{(-4\times (1/4))}\\\\=\frac{\sqrt[4]{3}}{2}}\times x^{1/2}\times y^{-1}\\\\=\frac{\sqrt[4]{3}}{2}}\times \frac{\sqrt{x}}{y}\)

Thus, the expression is equivalent to\(A=\sqrt[4]{\frac{24\ x^{6}\ y}{128\ x^{4}\ y^{5}}}\) is  \(\frac{\sqrt[4]{3}}{2}}\times \frac{\sqrt{x}}{y}\).

Equivalent expressions are expressions that have equal values

The equivalent expression of \(\sqrt[4]{ \frac{24x^6y}{128x^4y^5}}\) is \(\frac 1{2y}\sqrt[4]{ 3x^2}}\)

The expression is given as:

\(\sqrt[4]{ \frac{24x^6y}{128x^4y^5}}\)

Divide 24 and 128 by 8

\(\sqrt[4]{ \frac{24x^6y}{128x^4y^5}}= \sqrt[4]{ \frac{3x^6y}{16x^4y^5}}\)

Take 4th root of 16

\(\sqrt[4]{ \frac{24x^6y}{128x^4y^5}}= \frac 12\sqrt[4]{ \frac{3x^6y}{x^4y^5}}\)

Apply law of indices, to simplify the fraction

\(\sqrt[4]{ \frac{24x^6y}{128x^4y^5}}= \frac 12\sqrt[4]{ 3x^{6-4}y^{1-5}}\)

Simplify

\(\sqrt[4]{ \frac{24x^6y}{128x^4y^5}}= \frac 12\sqrt[4]{ 3x^{2}y^{-4}}\)

Rewrite as:

\(\sqrt[4]{ \frac{24x^6y}{128x^4y^5}}= \frac 12\sqrt[4]{ \frac{3x^{2}}{y^4}}\)

Take 4th root of y^4

\(\sqrt[4]{ \frac{24x^6y}{128x^4y^5}}= \frac 1{2y}\sqrt[4]{ 3x^2}}\)

Hence, the equivalent expression of \(\sqrt[4]{ \frac{24x^6y}{128x^4y^5}}\) is \(\frac 1{2y}\sqrt[4]{ 3x^2}}\)

Read more about equivalent expressions at:

https://brainly.com/question/15715866

The hierarchical database model is based on a tree structure, where data is organized in a parent-child relationship. Each parent segment can have multiple child segments, but each child segment has only one parent.

In this model, data access is typically navigated from the top-level parent segment to its child segments in a hierarchical manner. The parent-child relationships provide a clear structure for organizing and representing data. However, it also means that a lack of a parent segment or a child segment is not allowed in this model.

Compared to a matrix structure, where segments can have relationships with multiple other segments, the hierarchical model is more rigid in its one-to-many relationship between parent and child segments.

However, it may pose challenges when dealing with complex or interrelated data that doesn't fit neatly into a hierarchical structure.

Learn more about hierarchical database model here : brainly.com/question/28447769

#SPJ11

The type of variable required is Qualitative with two possible outcomes.

An estimate level of uncertainty is expressed by a range of values known as a confidence interval.

Keeping in mind, the z-score and other data's decimal places should be preserved when generating the confidence interval upper and lower bounds. The responses will be accurate and round-off errors will be prevented.

Also, the confidence interval boundaries are expressed in percentages. The maximum value of 0.8740, for instance, is 87.4% in decimal notation.

Make sure to specify the confidence level, the percentage of the population that the confidence interval actually captures, and the bounds expressed in percentages when expressing the meaning of the confidence interval.

Hence, the type of variable required to construct a confidence interval for a population​ proportion is Qualitative with 2 possible outcomes.

To learn more about confidence interval :

brainly.com/question/15712887

#SPJ4