what is the perimeter of a retangular carpet that is 4 times as long as it is wide witha width of 5 yards?

Answer:

-11, -9 and -7

or

7, 9 and 11

Step-by-step explanation:

Let the middle number be x

Then the number before that is x - 2

The number after that is x + 2

This is because they are consecutive odd integers and odd integers are separated from the next or previous by 2

Product of first and last = (x - 2)(x+2)

(x - 2)(x + 2) = x² - 4 through the relationship (x - a)(x + a) = x² -a²

77 over 81 times the square of the middle = \(\dfrac{77}{81}x^2\)

Setting the two expressions equal to each other we get

\(x^2 - 4 = \dfrac{77}{81}x^2\\\\\)

Subtract \(\dfrac{77}{81}x^2\) from both sides:
\(x^2 - 4 -\dfrac{77}{81}x^2= 0\)

Add 4 to both sides:
\(x^2 - \dfrac{77}{81}x^2 = 4\\\\\)

\(x^2(1 - \dfrac{77}{81})= 4\\\\\)

\(1 - \dfrac{77}{81} = \dfrac{81}{81} - \dfrac{77}{81}= \dfrac{4}{81}\)

Therefore
\(x^2(1 - \dfrac{77}{81})= 4\\\\\\\rightarrow x^2 \cdot \dfrac{4}{81} = 4\\\\\\\)

Multiply both sides by 81:
\(81\cdot \dfrac{4}{81}x^2=4\cdot \:81\)

\(4x^2=324\)

\(x^2=81\)

\(x=\pm \sqrt{81}\\\\x=\sqrt{81},\:x=-\sqrt{81}\)

\(x=9,\:x=-9\)

This would be the middle integer

If x = -9, first integer = -9-2 = -11 and last integer = -9 + 2 = -7

If x = 9, first integer = 9-2 = 7  and last integer = 9 + 2 = -11

So the integers can be
-11, -9 and -7

or

7, 9 and 11

Answer:

opposite operation

Step-by-step explanation:

divide 35 by 5 so x=7

x / 2 - 1 = 3

Add 1 to both sides.

x / 2 = 4

Multiply both sides by 2.

x = 8

Now lets put in 8 for x in our original equation:

8 / 2 - 1 = 3

4 - 1 = 3

3 = 3

This is correct, therefore we know x = 8.

I hope I've helped! :)

Answer:

volume = 1584 m³

Step-by-step explanation:

area of end = volume = (6)(24)(1/2) = 72 m²

volume = 72 x 22 = 1584 m³

According to the solving Mrs. Weatherford spends 15 percent of each weekday  25 hours and 20 minutes in her car.

A % is a relative figure that represents the hundredth part of any amount. One percent (symbolized 1%) is one hundredth part; consequently, 100 percent denotes the complete amount and 200 percent defines twice the supplied amount.

The most fundamental use of percentages is really to compare one number to another, with the second number rebased to 100. Assume we want to know the number among employed females as both a percentage of all employees.

Mrs. Weatherford drives 15% of the time during the week.

We know that:

1 week  = 7days

1day  = 24 hours

So 7 days  = 7 x 24

                  = 168 hours

Mrs. Weatherford drives 15% of the time during the week.

So,

(168/100) * 15

1.68 * 15

25.2 hours

According to the solving Mrs. Weatherford spends 25 hours and 20 minutes in her car.

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The required tally table is

Interval     Tally       Frequency

0-4                -                   0

5-9               | |                   2

10-14            | |                   2

15-19            ||||                  4

20-24         ||||| ||||               9

25-29            |||                  3

To create a tally table, follow these steps:

1. Write down the intervals or categories for the data.

2. Create a tally mark (a vertical line) for each observation that falls into that interval/category.

3. After every fifth tally mark, draw a diagonal line across the previous four tally marks to make counting easier.

4. Add up the total number of tally marks in each interval/category to determine the frequency.

Here we have

The data is 20, 27, 5, 6, 29, 7, 17, 11, 18, 5, 15, 17, 20, 27, 22, 13, 6, 28, 27, 23, 24, 17

To make the tally table follow the above steps

Hence, we will get the following tally and frequency table

Interval     Tally       Frequency

0-4                -                   0

5-9               | |                   2

10-14            | |                   2

15-19            ||||                  4

20-24         ||||| ||||               9

25-29            |||                  3

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Population standard deviation, level of significance are same.

Margin of error increased.

With increase in margin of error sample size decreases.

By dividing the population's standard deviation by the sample size and then multiplying the resulting number by the crucial factor, the margin of error—a statistical expression used to estimate how much a result will deviate from the value of the full population—can be determined.

The standard deviation of the sample statistics, if we could take several samples of the same size, is the standard error.

Population standard deviation, level of significance are same.

Margin of error increased.

Margin of error increases leads to decrease in the sample size

as the margin of error is in denominator position in sample size formula. Hence with increase in margin of error sample size decreases.

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Answer:

Step-by-step explanation:

conversion factors:

m:cm= 1:100

dm:km= 1,000,000:1

m:mm= 1:1000

hg:dg= 1:1000

g:cg= 1:100

kg:g=1000

so we plug in:

5m=500 cm

5246dm=0.5246km

5.246m=5246mm

3.7hg=3700dg

0.37g=37cg

370kg:370000

so the word is SPEAKUP

The probability of selecting a T or a P on the second draw, given that an F was selected on the first draw is 0.39.

The probability of selecting a T or a P on the second draw, given that an F was selected on the first draw, can be calculated using conditional probability.

P(A|B) = P(A and B) / P(B)

P(A and B) = P(T or P on second draw and F on first draw) = P(T on second draw and F on first draw) + P(P on second draw and F on first draw)

= (3/9) x (4/10) + (2/9) x (4/10) = 14/90

To find P(B), we know that it is 0.4.

Therefore, the conditional probability of selecting a T or a P on the second draw, given that an F was selected on the first draw, is:

P(A|B) = P(A and B) / P(B) = (14/90) / 0.4 ≈ 0.39

So the probability of selecting a T or a P on the second draw, given that an F was selected on the first draw, is approximately 0.39.

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Answer:

S*i*I*E

Sorry don't know.

But you lying, its only 50 points!!

Answer:

Impossible

Step-by-step explanation:

think logically, your going to need a longer time scale

lets say 1 minute

let your lips part slightly.

Then close your lips and inhale silently for 4 seconds.

Hold your breath for 7 seconds. You can also count till 7 in your head.

Exhale with a whoosh sound for 8 seconds.

Avoid being too alert.

Keep doing this process mindlessly.

do this activity at least 4-5 times.

Answer:

-12

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

Plug in x.

2(2)-3(2)+(-10)

Simplify.

4-6-10=-12

Hope this helps...have a great day c:

Answer:

no shortcuts can be used

Answer:

You need to multiply the number of choices in both sets.

Step-by-step explanation:

For example, you have an outcome being 4. You need to multiply the two numbers to get the outcome. Same with the rest of the outcomes in the chart.

Hope this helps!

Answer:

125

Step-by-step explanation:

Answer:

125

Step-by-step explanation:

368 - 243 = 125

Answer:

128

Step-by-step explanation:

128 is the right

peanut butter

Answer: 1.18 OR 0.18

Step-by-step explanation:

Answer:

It would depend of what your bill is.

Step-by-step explanation:

Here is how to find the tip of a bill.

Move the decimal, then double the number.

Move the decimal point in your pretax bill one place to the left to get $5.375 from $53.75.

Round up to the next easy number: $5.40.

Double that number to get $10.80, which is 20% of your original bill.

utilizar el teorema de Pythagorus.

hipotenusa² = 3² + 4²

= 9 + 16

= 25

hipotenusa = √25 = 5 cm

Answer: can you explain better? And than I can do this

Step-by-step explanation:

a. (F) If the sequence {n} converges, then the series an must converge. This statement is false.

The convergence of a sequence does not necessarily imply the convergence of the corresponding series.

b. (T) If a sequence is bounded and monotonic, then the sequence must converge.

This statement is true.

This is known as the Monotone Convergence Theorem.

c. (F) The nth-term test can show that a series converges.

This statement is false.

The nth-term test can only determine the divergence of a series, not its convergence.

d. (T) If the sequence of partial sums converges, then the corresponding series must also converge.

This statement is true.

This is known as the Cauchy criterion for convergence of a series.

e. (F) The harmonic series diverges since its partial sums are unbounded. This statement is false.

The harmonic series diverges because its terms do not approach zero.

f. (F) sinn is not an example of a p-series.

This statement is false. sinn is not a p-series since its terms do not have the form 1/n^p, where p is a positive constant.

g. (T) If a convergence test is inconclusive, you may be able to prove convergence/divergence through a different test.

This statement is true.

There are many convergence tests available, and if one test fails, it may be possible to apply a different test to determine convergence or divergence.

h. (F) If a series diverges, it does not necessarily mean that the corresponding sequence diverges.

This statement is false.

The divergence of the series implies that the corresponding sequence does not converge.

i. (F) If an alternating series fails to meet any one of the criteria of the alternating series test, then the series is not necessarily divergent. This statement is false. If an alternating series fails the alternating series test, it could be convergent or divergent, and further analysis is required to determine its convergence/divergence.

j. (F) Given that an > 0, if an converges, then -1an must converge. This statement is false.

The convergence or divergence of -1an depends on the original convergence or divergence of the series an.

The sum of the series is 14/3.

For the infinite geometric series with first term a=7 and common ratio r=-1/2:

The series converges since the absolute value of the common ratio r is less than 1, which is a necessary and sufficient condition for convergence of a geometric series.

The sum of the series is given by:

S = a / (1 - r) = 7 / (1 + 1/2) = 7 / (3/2) = 14/3.

Therefore, the sum of the series is 14/3.

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Assume that all sequences and series mentioned below are infinite sequences and infinite series, where an is the nth term of the sequence/series.

a. False. The convergence of a sequence does not guarantee the convergence of the corresponding series.

b. True. If a sequence is bounded and monotonic, then it must converge by the monotone convergence theorem.

c. False. The nth-term test only shows whether a series diverges. It cannot be used to show that a series converges.

d. True. If the sequence of partial sums converges, then the corresponding series must also converge.

e. False. The harmonic series diverges because its partial sums are unbounded, not because they are bounded from above.

f. False. sinn is not an example of a p-series. A p-series is of the form ∑n^(-p), where p>0.

g. True. If a convergence test is inconclusive, then we can try using a different test to determine convergence/divergence.

h. False. If an diverges, then we cannot determine whether a converges or diverges without further information.

i. False. An alternating series can be convergent even if it fails to meet one of the criteria of the alternating series test.

j. True. If an>0 and an converges, then -1an must also converge.

The infinite geometric series with first term a=7 and common ratio r=0.5 is given by: 7 + 3.5 + 1.75 + ...

This series converges because |r|=0.5<1. The sum of an infinite geometric series with first term a and common ratio r is given by:

sum = a / (1 - r)

In this case, we have:

sum = 7 / (1 - 0.5) = 14

Therefore, the sum of the series is 14.

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Answer:

I'm pretty sure its c

Step-by-step explanation:

Answer:

get outta that bed and stop cheating lazy one begging people to do YOUR stuff

Step-by-step explanation:

Answer:

(-3,5] U [5,10)

Step-by-step explanation:

That should be your answer let me know

\(\left[Hello, Brainly User!]\)

Answer:

n < -2

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

n+3<−3n−5

Step 2: Add 3n to both sides.

n+3+3n<−3n−5+3n

4n+3<−5

Step 3: Subtract 3 from both sides.

4n+3−3<−5−3

4n<−8

Step 4: Divide both sides by 4.

4n/4<−8/4

n<−2

\([CloudBreeze]\)

The margin of error at a 99% confidence level is 8.36.

The margin of error at a 99% confidence level based on a larger sample of 275 observations is 4.14.

a. Yes, the condition that X−X− is normally distributed is satisfied for a sample size of 69 by the central limit theorem.

b. The margin of error at a 99% confidence level can be computed using the formula:

Margin of error = z* (sigma / sqrt(n))

where z* is the z-score corresponding to a 99% confidence level, sigma is the known standard deviation, and n is the sample size.

The z-score for a 99% confidence level is 2.576 (from the z table).

Substituting the given values, we get:

Margin of error = 2.576 * (27.5 / sqrt(69)) = 8.36

c. The margin of error at a 99% confidence level based on a larger sample of 275 observations can be computed using the same formula:

Margin of error = z* (sigma / sqrt(n))

where z* is the z-score corresponding to a 99% confidence level, sigma is the known standard deviation, and n is the sample size.

The z-score for a 99% confidence level is still 2.576 (from the z table).

Substituting the given values, we get:

Margin of error = 2.576 * (27.5 / sqrt(275)) = 4.14

d. The margin of error is inversely proportional to the square root of the sample size. As the sample size increases, the margin of error decreases. Therefore, the margin of error with n = 275 will be smaller than the margin of error with n = 69, leading to a narrower confidence interval.

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Answer:

22 inches

Step-by-step explanation:

Area = length x width

198 / 9 = l

22 = l

Answer:

\(2262.20 in^3\)

Step-by-step explanation:

Given data

height of cylinder h= 20 in

base radius r= 6 in

We know that the formula for the volume of a cylinder is expresses as

\(volume= \pi r^2h\)

Substituting our data into the expression we have

\(volume= 3.142*6^2*20\\volume= 2262.24 in^2\\\)

To the nearest tenth we have the volume to be

\(2262.20 in^3\)

Answer: 2261.9

use volume of a cylinder formula

Substitute Variables into formula

Multiply

Then round to the nearest 10th

To find the equations of the secant line and the tangent line for the given function f(x) = 2 + x, when x takes certain values, we need to use the slope-intercept form of a line, which is y = mx + b, where m represents the slope and b represents the y-intercept.

(a) Secant Line:

Let's find the equation of the secant line through the points where x takes the values x₁ = 4 and x₂ = 1.

The slope of the secant line is given by:

m = (f(x₂) - f(x₁)) / (x₂ - x₁)

Substituting the function f(x) = 2 + x into the slope formula, we have:

m = (f(1) - f(4)) / (1 - 4)

= ((2 + 1) - (2 + 4)) / (1 - 4)

= (3 - 6) / (-3)

= -3 / -3

= 1

Since the slope of the secant line is 1, we can choose any of the given points to find the equation. Let's use the point (4, f(4)) = (4, 2 + 4) = (4, 6):

Using the point-slope form of a line, we can write the equation of the secant line as:

y - y₁ = m(x - x₁)

y - 6 = 1(x - 4)

y - 6 = x - 4

y = x + 2

Therefore, the equation of the secant line is y = x + 2.

(b) Tangent Line:

To find the equation of the tangent line when x has the value x₁ = 4, we need to find the derivative of the function f(x) = 2 + x.

The derivative of f(x) with respect to x gives us the slope of the tangent line:

f'(x) = d/dx (2 + x)

= 1

The slope of the tangent line is equal to the derivative of the function evaluated at x = 4, which is 1.

Using the point-slope form of a line and the given point (4, f(4)) = (4, 2 + 4) = (4, 6), we can write the equation of the tangent line as:

y - y₁ = m(x - x₁)

y - 6 = 1(x - 4)

y - 6 = x - 4

y = x + 2

Therefore, the equation of the tangent line is y = x + 2, which is the same as the equation of the secant line in this case.

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Answer: True

Step-by-step explanation: This statement is true because when clusters are heterogeneous they are a "scaled-down version" of the population sampled. I hope this helped!

Answer:true

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

47.49%

Step-by-step explanation:

profit / selling price ×100% = gain percent

profit =selling price - cost price

therefore profit = 155.63 - 105.52 = 50.11

50.11/105.52 ×100% = gain percent

47.49% = gain percent