What is the shortest path that will visit point A, B, C, and D?



A to D to C to B
C to B to D to A
B to A to D to C
A to B to C to D

Answer:

This problem has no answer.

Step-by-step explanation:

24+6k<-6(-4-k)

24+6k<24+6k

24-24<6k-6k

0<0k

This problem has no answer.

Using mathematical operations, the amount left in Marilyn's savings account after writing a check for $450 under the overdraft protection scheme is $582.

An overdraft protection is an arrangement with the bank to move funds from linked accounts to a checking account to cover the difference when a check overdraws the account.

The amount in the checking account at the beginning of the month = $432

The balance in the savings account = $600

The amount of the check drawn = $450

The difference between $432 and $450 = $-18

The balance in the savings account at the end = $582 ($600 - $18)

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Answer:

22. \(\frac{1}{2} (2x-2)(4x+2)\)

23. \((x-3)(x^2+8x-2)\)

Answer:

y= 2/3x + 2

Step-by-step explanation:

The probability for the sample space of a fair die rolled out {1, 2, 3, 4, 5, 6} with different conditions are :

a. Probability of getting 6 = 1/6

b. Probability of an even number on a die = 1/2

c. Probability of number more than 2 = 2/3.

Sample space is equal to {1, 2, 3, 4, 5, 6}

Number of times die rolled out = only once.

Total number of outcomes = 6

Probability = ( Number of favourable outcomes ) / ( Total outcomes )

Required probability in fraction form with lowest terms:

a. Probability of getting 6

Favourable outcomes ={ 6 }

Number of favourable outcomes = 1

Probability of getting 6  = 1 / 6

b. Probability of getting an even number

Favourable outcomes = { 2, 4, 6 }

Number of favourable outcomes = 3

Probability = 3 / 6

                  = 1 / 2

c. Probability of getting number greater than 2

Favourable outcomes = { 3, 4, 5, 6 }

Number of favourable outcomes = 4

Probability = 4 / 6

                  = 2 / 3

Therefore, the required probability as per the mentioned conditions are:

a. Probability of getting 6 = 1/6

b. Probability of even number = 1/2

c. Probability of number greater than 2 = 2/3.

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The rent for the apartment using exponential equation in 2017 was $8,029.91.

To find the rent of the apartment in 2017, we will use an exponential equation. An exponential equation is a mathematical expression where a variable is raised to a power, often used to model growth or decay. In this case, we will model the growth of the rent over time.

1. Identify the initial rent, the growth rate, and the number of years that have passed since 2012.
Initial rent (A0): $6,600
Growth rate (r): 4% = 0.04
Number of years (t): 2017 - 2012 = 5

2. Write the exponential equation for the rent increase:
At = A0 * (1 + r)^t

3. Plug in the given values and calculate the rent in 2017:
At = $6,600 * (1 + 0.04)^5

4. Calculate the rent:
At = $6,600 * (1.04)^5
At = $6,600 * 1.2166529
At = $8,029.91

The rent for the apartment in 2017 was $8,029.91. This was calculated using an exponential equation, which allowed us to account for the 4% annual increase in rent over the 5 years since 2012.

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In this case, since the lengths of sides PQ and RP are both √11, while the length of side QR is 2√2, we can conclude that the triangle ∆PQR is a scalene triangle.

To determine which property the triangle ∆PQR has, we can use the distance formula to calculate the lengths of its sides and examine certain properties based on the obtained values.

Let's calculate the lengths of the sides:

Side PQ:

∆x = 1 - 2 = -1

∆y = -2 - (-1) = -1

∆z = -3 - 0 = -3

Length PQ = √((-1)^2 + (-1)^2 + (-3)^2) = √(1 + 1 + 9) = √11

Side QR:

∆x = 3 - 1 = 2

∆y = 0 - (-2) = 2

∆z = -3 - (-3) = 0

Length QR = √(2^2 + 2^2 + 0^2) = √8 = 2√2

Side RP:

∆x = 2 - 3 = -1

∆y = -1 - 0 = -1

∆z = 0 - (-3) = 3

Length RP = √((-1)^2 + (-1)^2 + 3^2) = √(1 + 1 + 9) = √11

Based on the lengths of the sides, we can determine the property of the triangle:

If all three side lengths are equal, the triangle is an equilateral triangle.

If two side lengths are equal, the triangle is an isosceles triangle.

If all three side lengths are different, the triangle is a scalene triangle.

In this case, since the lengths of sides PQ and RP are both √11, while the length of side QR is 2√2, we can conclude that the triangle ∆PQR is a scalene triangle.

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Answer:

y=4z-3

Step-by-step explanation:

The sum of angle in a triangle is 180°

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC.

The sum of angle A, B and C is 180 i.e A+B +C = 180°

Also a triangle is a 3 sided polygon. The sum of of angle in a polygon is( n-2)180

How do we prove that the sum of angle in a triangle is 180°?

Since triangle is 3 sided, n= 3, because n denote the number if sides

therefore the sum of angle = (n-2) 180 = (3-2)×180

= 180°

therefore the sum of angle In a triangle is 180°

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Answer:

Step-by-step explanation:

9 bytes2

Answer:

Step-by-step explanation: i need a better explanation

Answer:

No solutions

Step-by-step explanation:

2 does not equal 7

I hope this helps!

Answer:

$25

Step-by-step explanation:

money=x

3x-6=69

3x=75

x=25

Hope this helps plz hit the crown :D

Answer:

%25 dollars  saved

Step-by-step explanation:

The probability that exactly 18 of the 25 smartphones selected are purchased with warranty is:  The probability that exactly 8 of the 25 smartphones selected are not purchased with warranty is: The probability that all 25 smartphones selected are purchased with warranty is:  

The probability that at most 15 of the 25 smartphones selected are purchased with warranty is: The probability that at least 14 of the 25 smartphones selected are purchased with warranty is: f) The probability that more than half (i.e. > 12) of the 25 smartphones selected are purchased with warranty is: 9) The probability that at least 14 but no more than 23 of the 25 smartphones selected are purchased with warranty is:

h) The probability that less than 12 or more than 19 of the 25 smartphones selected are purchased with warranty is: Part 2Mean = Standard Deviation =  Part 3To find the minimum sample size required to expect to find exactly 72 smartphones that are purchased with warranty, we use the following formula: N = [(Z * σ) / E]^2 where Z is the z-score corresponding to the desired level of confidence, σ is the standard deviation, and E is the maximum error of estimation. Using a 95% level of confidence, Z = 1.96.Using the calculated standard deviation of 2.91 and expecting to find exactly 72 smartphones, the maximum error of estimation is 0.5.N = [(1.96 * 2.91) / 0.5]^2N

= 337.11

Therefore, the minimum sample size required to expect to find exactly 72 smartphones that are purchased with warranty is 338.

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Answer:

1 is 1/9 2 is 1/9 3 is 5/9 4 is 8/9

Step-by-step explanation:

A(Ab AC AA) B(ba bb bc) C(ac bc cc)

Answer:

Step-by-step explanation:

Remark

-2 looks pretty good.

y = 1/2 (-2) + 3

y = - 1 + 3

y = 2

y = absolute value (x)

y = abs(-2)

y = 2

The absolute value is always the positive possible answer.

Answer:

Step-by-step explanation:

a=0.5

The population standard deviation for the given data set is approximately 2.98.

To find the population standard deviation, we need to first calculate the population variance and then take the square root of the variance.

Calculate the population variance.

First, we need to find the mean of the data set.

To do this, we sum up the product of each data value and its corresponding frequency, and then divide by the sum of the frequencies.

Mean (μ) = (35 + 57 + 62 + 81 + 93 + 126 + 16*1) / (5 + 7 + 2 + 1 + 3 + 6 + 1) = 10.79

Next, we calculate the squared deviations of each data value from the mean, multiplied by their respective frequencies.

We sum up these squared deviations.

Sum of squared deviations \((SS) = (5\times(3-10.79)^2 + 7\times(5-10.79)^2 + 2\times(6-10.79)^2 + 1\times(8-10.79)^2 + 3\times(9-10.79)^2 + 6\times(12-10.79)^2 + 1\times(16-10.79)^2) = 221.92\)

Now, we calculate the population variance by dividing the sum of squared deviations by the total number of observations.

Population variance \((\sigma^2) = SS / (5 + 7 + 2 + 1 + 3 + 6 + 1) = 221.92 / 25 = 8.88\)

Calculate the population standard deviation.

Finally, we take the square root of the population variance to get the population standard deviation.

Population standard deviation (σ) ≈ √8.88 ≈ 2.98 (rounded to the nearest hundredth)

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The length of the longest rod which can measure the two dimensions of the carpet is 2744 cm.

Length is the distance between two points.

To calculate the length of the longest rod which can measure the two dimensions, we use the formula below

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

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Answer:

Length = 8x - 3.2

Step-by-step explanation:

Perimeter = 4(Length)   [Since it's a square so all the sides are equal]

Given that Perimeter = 32x - 12.8

32x - 12.8 = 4(Length)

Dividing both sides by 4

=> Length = \(\frac{4(8x-3.2)}{4}\)

=> Length = 8x - 3.2

Now, Three equivalent expressions to find the perimeter

=> Perimeter = 32x - 12.8

=> Perimeter = 4(8x - 3.2)   [Perimeter = 4 (Length)]

=> Perimeter = 2(16x - 6.4)

Answer:

\(\boxed{8x-3.2}\)

Step-by-step explanation:

The perimeter is 32x - 12.8 of a square.

Use formula for perimeter of a square.

\(P=4a\)

\(P=perimeter\\a=side \: length\)

\(32x - 12.8=4a\)

Solve for side length.

\(\frac{32x - 12.8}{4} =a\)

\(8x-3.2=a\)

Three equivalent expressions for perimeter:

32x - 12.8

⇒ 8(4x - 1.6)

⇒ 4(8x - 3.2)

⇒ 2(16x - 6.4)

Answer:

A. 9

Step-by-step explanation:

A P E X

Answer:

Step-by-step explanation:

according to the question

SECOND QUESTION:

first find the measure of BE

according to the question

square both sides

substitute the values of BE and BC

simplify multiplication:

simplify redical:

Social-desirability biases is the sort of response bias that is the tendency of the survey respondent to answer the question in a manner that is favorable to others.

As Maria found that most respondents 98% of the voters were open to support women candidates. The social desirably bias poses a serious problem during the self-reporting as the bias interferes with the interpretations of the average tendencies.

As however during the anonymous survey of the voters or respondents showed only 80% of them would support the women candidate.

Hence the social desirability bias is the main culprit for such a response.

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The dog's running speed of 5 km/hr can be converted to approximately 3.125 mi/hr by multiplying it by the conversion factor of 1 mi/1.6 km. Rounding to the nearest thousandth, the dog can run at about 3.125 mi/hr.

To convert the dog's running speed from kilometers per hour (km/hr) to miles per hour (mi/hr), we need to use the conversion factor of 1.6 km = 1 mi.First, we can convert the dog's speed from km/hr to mi/hr by multiplying it by the conversion factor: 5 km/hr * (1 mi/1.6 km) = 3.125 mi/hr.

However, we need to round the answer to the nearest thousandth (three decimal places). Since the digit after the thousandth place is 5, we round up the thousandth place to obtain the final answer.

Therefore, the dog can run at approximately 3.125 mi/hr.

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TSA:-

The probability that nadia randomly picks up a reference book and then without replacing it picks up a nonfiction book is 5/136.

Given:

17 total number books out of which 10 are fiction books,2 are reference books , 5 non fiction books.

Number of ways of picking reference book = \(2_C_1\)

Probability of picking a reference book = \(2_C_1/17_C_1\)

= 2/17

The total number of books left on the shelf is 16.

The number of ways in which a non fiction book can be picked after a reference book is already picked = \(5_C_1/16_C_1\)

= 5/16.

Total probability = 2/17*5/17

= 10/272

= 5/136.

Therefore The probability that nadia randomly picks up a reference book and then without replacing it picks up a nonfiction book is 5/136.

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Answer: \(\boxed{\frac{1}{100}\ or\ 0.01}\)

Step-by-step explanation:

Determine the value of \(y^{12} \ when\ y=10^{-\frac{1}{6}\)

\(=(10^{-\frac{1}{6} })^{12}\)

\(=\frac{1}{100}\ or\ 0.01\)

\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ y^{12}\hspace{5em}y=10^{-\frac{1}{6}}\qquad \implies \qquad \left( 10^{-\frac{1}{6}}\right)^{12}\implies 10^{-\frac{1}{6}\cdot 12} \\\\\\ 10^{-2}\implies \cfrac{1}{10^2}\implies \cfrac{1}{100}\)

Answer:

Scalene

Step-by-step explanation:

Step-by-step explanation:

13) 4x-22+x+11+10x-4 =180

15x=195

x=13

<P=(10(13)-4)=126

<Q=(4(13)-22)=30

<R=13+11=24