The sum of two consecutive odd integers is 144. Which expression may be used to solve the problem?

The solutions to the given quadratic equation are x=[5+13i]/14 or x=[5-13i]/14.

Given that, the quadratic formula is x= [-(-5)±√((-5)²-4×7×7)]/2×7.

Here, x= [5±√(25-196)]/14

x= [5±√(-171)]/14

x=[5±13i]/14

x=[5+13i]/14 or x=[5-13i]/14

Now, (x-(5+13i)/14) (x-(5-13i)/14)=0

Therefore, the solutions to the given quadratic equation are x=[5+13i]/14 or x=[5-13i]/14.

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Answer:

1,3,7,21

Step-by-step explanation:

Answer:

Sam balance was -10 and the ending balance was $70

=80+(-10)

=$70

Answer:

They are perpendicular

Step-by-step explanation:

The slopes are opposites

The test statistic is approximately -2.42.

To determine whether there is sufficient evidence to support the bride's hope at the 0.05 level of significance, we need to calculate the test statistic.

The test statistic for testing the mean of a sample against a known population standard deviation is given by:

\[t = \frac{{\bar{x} - \mu}}{{\frac{{\sigma}}{{\sqrt{n}}}}}\]

where:

- \(\bar{x}\) is the sample mean (26,358 in this case)

- \(\mu\) is the hypothesized population mean (27,442 in this case)

- \(\sigma\) is the population standard deviation (4,455 in this case)

- \(n\) is the sample size (57 in this case)

Substituting the given values into the formula, we have:

\[t = \frac{{26,358 - 27,442}}{{\frac{{4,455}}{{\sqrt{57}}}}}\]

Calculating this expression gives:

\[t \approx -2.42\]

Rounding to two decimal places, the test statistic is approximately -2.42.

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Step-by-step explanation:

4 bags of bananas for $22.52

=> 2 bags of bananas for $22.52 * 2/4 = $11.26.

Hence it would cost $11.26.

Answer:

6°

Step-by-step explanation:

The angles in a triangle always add up to 180°. Let’s call the third angle x. That means that:

154 + 20 + x = 180 ->

174 + x = 180 ->

x = 180 - 174 ->

x = 6°

Hope that help! :)

By integrating and solving a system of equations, we will see that the function is:

f(x) = (1/6)*x³ - x² -1.5*x + 2.3

We know that the second derivate is:

f''(x) = x - 2

If we integrate that, we will get:

f'(x) = (1/2)*x² - 2x + c

Where c is a constant of integration.

If we integrate again, we will get:

f(x) = (1/6)*x³ - x² + c*x + d

Where d is another constant of integration.

Now we know that:

f(1) = 0 and f(7) = 0

So we can write:

f(1) = (1/6)*1³ - 1² + c*1 + d = 0

f(7) = (1/6)*7³ - 7² + c*7 + d = 0

So we have a little system of equations:

(1/6) - 1 + c + d = 0

57.2 - 49 + 7c + d = 0

c + d = 5/6

7c + d = -8.2

If we subtract the first equation from the second one we will get:

(7c + d) - (c + d) = -8.2 - 5/6

6c = (-8.2 - 5/6)

c = (-8.2 - 5/6)/6 = -1.5

c + d = 5/6

-1.5 + d = 5/6

d = 5/6 + 1.5 = 2.3

The function is:

f(x) = (1/6)*x³ - x² -1.5*x + 2.3

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There are 19 randomly selected Americans must be surveyed, if we want to estimate 99% confidence interval for the true proportion of Americans who support the gun control in 2018 with a 0.36 margin of error

randomly selected americans must be surveyed can be calculate as follows:

If the prior population proportion is unavailable then the formula to find the sample size is given by :

\(n= 0.25(\frac{z*}{E} )^{2}\)where,

z* = Critical z-value

E = margin of error

Let p be the proportion of Americans who support the gun control in 2018.

As per given , we have

Confidence level = 92%

The critical z-value for 92% confidence interval is 1.75 ( BY z-table)

Margin of error : E= 0.2

Since there no  prior information about the proportion of Americans who support the gun control in 2018.

So , the required sample size  to estimate 99% confidence interval would be:

\(n= 0.25(\frac{1.75}{0,2} )^{2}\\n= 0.25(8.75)^{2} \\n= 0.25 (76.5625)\\n= 19.14\)or 19

Hence,  19 Americans should be surveyed.

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Answer:

look at the box did you see it

Answer:

I hope you are wanting the measure of QM

QM = 12.08 in

Step-by-step explanation:

Because a tangent to a radius forms a 90° angle, use the Pythagorean theorem:

QM² = MN² + QN² = 5² + 11² = 25 + 121 = 146

QM = √146 = 12.08 in

Answer:

-28

Step-by-step explanation:

-16 +(-12)

= -16 - 12

adding both of them,

= - 28

The vector product (cross product) of M and N is -10j + 155k - 362j - 6k + 24i.

The vector product (cross product) of two vectors M and N is calculated using the determinant method. The cross product of M and N is denoted as M x N. To calculate M x N, we can use the following formula,

M x N = (2 * (-1) - (-4) * (-6))i + ((-4) * 61 - 31 * (-1))j + (31 * (-6) - 2 * 61)k

Simplifying the equation, we get,

M x N = -10j + 155k - 362j - 6k + 24i

Therefore, the vector product M x N is -10j + 155k - 362j - 6k + 24i.

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The term which is used for describing the number of voters who casted their votes using the ballots is called as voter turnout.

The process of selecting a candidate for a suitable post who takes care of the policies which will be framed for the people is called as voting. In this process, the members/ citizens casts their vote in the favor of their suitable candidate. Many times voters are not valid and their votes are considered as null and void.

The voter turnout is either the percentage of registered voters, eligible voters, or all voting-age people ( this varies from place to place depending upon the minimum voting age required). The voter turnout is also referred to the number of people who go to it or take part in it. High voter turnout is generally considered a sign of a healthy democracy.

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Answer:

A.) 30 degrees

Step-by-step explanation:

Brainly pls :)

Answer:

I cannot see the number line mentioned here, but I'll explain how you multiply negative and positive using tiles and number line.

To multiply positive and a negative nunber, for instance, 2(–3), you'll think of it as 2 groups of negative one in three's. Using tiles you have

–1 –1

–1 –1

–1 –1

Two groups of negative one in three's, adding that up we have 6.

Using number line. See 2(–3), for instance, as moving twice in intervals of –3. If I am to multiply that, starting from 0, if I move once, I'll land at –3, if I move one more time, I'll land at –6. Since I am to move twice, that's the required answer.

Answer:

-10a + 2b - 3c

Step-by-step explanation:

hope this helps :)

Answer:

D

Step-by-step explanation:

I checked it on desmos and also the shift is 1 up that means subtracting from a larger number

Answer: d

Step-by-step explanation:

Answer:

-2 7/6, -1 3/4, -1 1/2, 1/8

Step-by-step explanation:

The "greater" the number is when it's negative, the less value it actually holds. Therefore, -1 3/4 is less than -1 1/2!

Answer:

1208.9

Step-by-step explanation:

To figure out the answer we have to separate it two parts

So the surface area of the piñata is

=The surface area of first cone + the area of the second second cone

=π×r×(r+s)+π×r×(r+s)

=3.14×7×(7+24)+3.14×7×(7+17)

=3.14×7×31+3.14×7×24

=681.38+527.52

=1208.9

Note:I am not sure so if you have any doubts. You can go with others

Answer:

Mindy=191

Amy=299

Step-by-step explanation:

first you want to divide $490 in half to see what each person has. Thats 245 and since Amy has $54 more, you minus 54 from 245 to get 191. So while Mindy has 191, Amy has 299

the first one is A  

the second one is D

none of the above - correct answer is root 133. there has to be a typo I think. if they force you to choose do C. -i give the props to the other guy who answerd this question

a) Using an even value of k in the k-NN classifier can lead to ties in the decision-making process.

b) The emergence of Bayesian Belief Network is driven by the need for probabilistic models to represent uncertain knowledge and make inferences.

c) Scaling is necessary in k-NN to ensure that features with larger ranges do not dominate the distance calculation.

d) The mathematical relation between Manhattan distance and Euclidean distance is given by Manhattan distance = √(Euclidean distance).

e) A dendrogram is not applicable in K-means clustering algorithm because it does not provide a hierarchical representation of the clusters.

f) Minimum spanning tree (MST) is appropriate for divisive hierarchical clustering as it allows for a step-by-step division of clusters based on the minimum dissimilarity.

g) The size of the proximity matrix can be reduced from m^2 to about m^2/2 for symmetric distance measures.

h) Matching each transaction against every candidate is computationally expensive in brute-force approach due to the high number of comparisons required.

i) The mathematical relation between k (from k-itemset) and w (maximum transaction width) depends on the specific problem or algorithm being used.

j) The possible subsets of size 3 in a transaction t of n items can be calculated using the combination formula: C(n, 3) = n! / (3! * (n-3)!).

k) The total number of possible association rules in brute-force approach with d = 3 items can be calculated as 3^2 - 3 = 6 using the formula 2^(d^2) - d.

Using an even value of k in the k-NN classifier can lead to ties in the decision-making process. When k is even, there is a possibility of having an equal number of neighbors from different classes, resulting in ambiguity in assigning the class label.

The Bayesian Belief Network has emerged as a solution to represent uncertain knowledge and make inferences. It utilizes probabilistic models and graphical structures to capture the dependencies and conditional relationships between variables, allowing for reasoning under uncertainty.

Scaling is necessary in k-NN to ensure fair comparison between features with different ranges. Without scaling, features with larger numerical values would dominate the distance calculation and potentially bias the classification process.

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Answer:

12 is the GCF

Step-by-step explanation:

The prime factorization of 24 is 2,2,2,3

and the prime factorization of 36 is 2,2,3,3

the common numbers are 2,2 and 3 and 2x2 is 4 and 4x3 is 12

Answer:

It's 12:))))

Step-by-step explanation:

12 because its bigger than 4 and 6, i hope this helped!!

Answer:

The radius of the Hemisphere is 15.8 cm.

Explanation:

The formula for the volume of an hemisphere can be written as;

Given that the volume of the hemisphere is;

We can get the radius of the hemisphere using the formula above.

Firstly let us make r the subject of formula;

Lastly let us substitute the given volume V into the derived formula for radius r.

Therefore, the radius of the Hemisphere is 15.8 cm.

The second smallest integer is given as follows:

x2 = 77.

The numbers are given as follows:

x1, x2, x3, x4, x5.

The median is of 83, hence x3 = 83 and the integers are:

x1, x2, 83, x4, x5.

The mode is of 85, hence x4 = x5 = 85, thus:

x1, x2, 83, 85, 85.

The range is of 70, hence:

x5 - x1 = 70

85 - x1 = 70

x1 = 15.

Hence:

15, x2, 83, 85, 85.

The mean is of 69, hence:

(15 + x2 + 83 + 85 + 85)/5 = 69

268 + x2 = 345

x2 = 345 - 268

x2 = 77.

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Answer:

no. there are 48 with both.

Answer:

12x^3 + 19x^2 + x - 5

Step-by-step explanation:

To solve this, I set up the problem like this:

(3x^2 + x - 1)(4x + 5)

Now, just distribute everything from the first set of ( ) to the second set of ( ). Here's what you should have when you do that:

12x^3 + 15x^2 + 4x^2 + 5x - 4x - 5

Now, you would just combine like terms, which would get you to the final answer.

Hope this helps!

12x³ + 19x² + x -5

Polynomials are expressions that have multiple terms.

Breaking Apart Polynomials

When multiplying by a polynomial, we can break apart one of the polynomials, and multiply by each term individually. This means to multiply 3x² + x - 1 by 4x + 5, we can break apart the binomial into its separate terms. Instead of trying to multiply everything at once, we can multiply the trinomial by 4x and then multiply the trinomial by 5. Finally, add together the 2 products for the final answer.

Multiplying Polynomials

First, let's multiply the trinomial by 4x.

To find the product, multiply each term of the trinomial by 4x, then add them back together.

So, the first product is 12x³ + 4x²- 4x. Next, let's multiply 5(3x² + x - 1) the same way.

This means that the second product is 15x² + 5x - 5. Finally, let's add the 2 products together.

Then, simplify the expression.

This gives us our final answer. The product of 3x² + x - 1 and 4x + 5 is 12x³ + 19x² + x - 5.

The linear functions in this problem are given as follows:

A linear function is modeled by:

y = mx + b

In which:

For function f(x), when x increases from 2 to 3, f(x) decays from 5 to 1, hence the slope is of -4 and:

f(x) = -4x + b.

When x = 2, f(x) = 5, hence the y-intercept is found as follows:

5 = -4(2) + b

b = 13.

Then:

f(x) = -4x + 13.

For function g(x), when x increases from 4 to 7, g(x) increases from 2 to 8, hence the slope is of:

m = (8 - 2)/(7 - 4) = 6/3 = 2.

Hence:

g(x) = 2x + b.

When x = 4, g(x) = 2, hence the y-intercept is found as follows:

2 = 2(4) + b

2 = 8 + b

b = -6.

Then:

g(x) = 2x - 6.

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The 90% confidence interval for the population mean number of days it takes to find a job using the website's service is approximately 77.09 to 82.91 days.

To calculate a 90% confidence interval for the population mean number of days it takes to find a job using the website's service, follow these steps:

1. Identify the sample mean (X), sample size (n), and population standard deviation (σ). In this case, X = 80 days, n = 32, and σ = 10 days.

2. Determine the desired confidence level. Here, it's 90%.

3. Find the critical value (z) associated with the 90% confidence level. You can look this up in a standard normal distribution table or use a calculator that provides this functionality. For a 90% confidence interval, the critical value is approximately 1.645.

4. Calculate the standard error (SE) by dividing the population standard deviation (σ) by the square root of the sample size (n). In this case, SE = σ/√n = 10/√32 ≈ 1.77.

5. Multiply the critical value (z) by the standard error (SE) to obtain the margin of error (MOE): MOE = z * SE = 1.645 * 1.77 ≈ 2.91.

6. Calculate the lower and upper bounds of the confidence interval by subtracting and adding the margin of error (MOE) from the sample mean (X). In this case, the lower bound = 80 - 2.91 ≈ 77.09, and the upper bound = 80 + 2.91 ≈ 82.91.

Thus, the 90% confidence interval for the population mean number of days it takes to find a job using the website's service is approximately 77.09 to 82.91 days.

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