The analysis phase of decision making includes

Answer:

25%

Step-by-step explanation:

Answer: y + 6 = -4 (x+2)

Step-by-step explanation:

Answer: 21

Step-by-step explanation:

The number of stamps that Jessica and Bonita have altogether if the percent increase in stamps with Bonita is 15% more is 2150.

Given that,

Bonita has 15 percent more stamps than Jessica.

Let x be the number of stamps that Jessica has.

Then,

Number of stamps that Bonita has = x + 150

x + 150 = x + 15% of x

x + 150 = x + (0.15)x

x + 150 = 1.15x

0.15x = 150

x = 1000

Hence the number of stamps that Jessica has = 1000

Number of stamps that Bonita has = 1150

Total number of stamps = 1000 + 1150 = 2150

Hence the total number of stamps is 2150.

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a) There are 720 different ways to arrange all six tables in a row. b) There are also 15 other methods to select four of the six tables.

A combination is a technique for calculating the number of alternative arrangements in a set of objects where the order of the selection is irrelevant.

Given this,

Mrs. Smith wants to arrange six activity tables side by side in her classroom.

After aligning all six tables in a straight line, we can use the factorial function to compute the product of all positive integers up to a specified value. We could write:

6! = 6 x 5 x 4 x 3 x 2 x 1 = 720

As a result, there are 720 different ways to arrange all six tables in a row.

And, to select four of the six tables, we can use the combination function, which computes the number of ways to select k things from n different items, regardless of their order. We could write:

⁶C₄ = 6! / (4! x 2!)

= (6 x 5 x 4 x 3 × 2 × 1) / [(4 x 3 x 2 x 1) × (2 × 1)]

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

= 15

As a result, there are 15 different methods to select four of the six tables.

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Answer:

A confidence interval and hypothesis test will yield the same results when the null hypothesis value is outside the calculated confidence interval. In other words, if the null hypothesis falls outside the confidence interval, the null hypothesis is rejected at the same level of significance used to calculate the confidence interval. Conversely, if the null hypothesis falls inside the confidence interval, it cannot be rejected.

Null hypothesis: The proportion of college students who believe that freedom of the press is secure or very secure in this country has not changed from 2016.

Alternative hypothesis: The proportion of college students who believe that freedom of the press is secure or very secure in this country has changed from 2016.

We can test this hypothesis using a two-sample z-test for proportions, where the two proportions being compared are the proportion of students who believed freedom of the press was secure or very secure in 2016 and the proportion who believed this in 2017. The test statistic is calculated as:

z = (p1 - p2) / sqrt( p(1-p) * (1/n1 + 1/n2) )

where p1 is the proportion of students who believed freedom of the press was secure or very secure in 2016, p2 is the proportion who believed this in 2017, n1 is the sample size for 2016, n2 is the sample size for 2017, and p is the pooled proportion of successes.

If the test statistic falls outside the critical values for the chosen level of significance, the null hypothesis can be rejected and we can conclude that the proportion of college students who believe that freedom of the press is secure or very secure in this country has changed from 2016.

Step-by-step explanation:

0.8942 = 89.42% probability of the mean IQ score of people in the sample is less than 98.

The Normal (or Gaussian) distribution is the most common continuous probability distribution. The function calculates the likelihood that an event will occur between any two real number limits as the curve gets closer to zero on either side of the mean. The area beneath the normal curve is always one.

Problems of normal distributions can be solved using the z-score formula.

In a set with mean and standard deviation, the z-score of a measure X is:

[tex]\text{z}=\dfrac{\text{x}-\mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

This is the P-value of Z when X = 98.

[tex]\text{z}=\dfrac{\text{x}-\mu}{\sigma}[/tex]

[tex]\text{z}=\dfrac{(98 -100)}{15}[/tex]

[tex]\text{z}=-0.133[/tex]

z = -0.133 has a P-value of 0.8942

Hence, 0.8942 = 89.42% probability of the mean IQ score of people in the sample is less than 98.

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I'm assuming you mean y = [3x+5], wherein the brackets signify the biggest integer function (also known as the floor function).

What exactly are function and example?

A function was a type of rule that produces one output for one input. Alex Federspiel provided the image. y=x2 is an example of this. If you enter something for x, you will only get a single result for y. Because x represents the input value, we can say as y represents a function of x.

To graph this formula, we must plot points which satisfy the conditions, where y is the largest integer that is equal or less than to 3x+5.

Let's begin by examining some specific x values:

When x equals -2, y equals [3(-2)+5]. = [-1] = -1

When x equals -1.5, y equals [3(-1.5)+5]. = [-0.5] = -1

When x equals -1, y equals [3(-1)+5]. = [2] = 2

y = [3(-0.5)+5] for x = -0.5. = [3.5] = 3

When x = 0, y equals [3(0)+5]. = [5] = 5

When x equals 0.5, y equals [3(0.5)+5]. = [6.5] = 6

When x equals 1, y equals [3(1)+5]. = [8] = 8

When x equals 1.5, y equals [3(1.5)+5]. = [9.5] = 9

When x equals 2, y equals [3(2)+5]. = [11] = 11

We can draw points on a chart and link them to construct a line using these values:

        |

  12    |

        |

  11    |             x=2

        |

  10    |

        |

   9    |             x=1.5

        |

   8    |             x=1

        |

   7    |

        |

   6    |             x=0.5

        |

   5    |             x=0

        |

   4    |

        |

   3    |

        |

   2    |             x=-1

        |

   1    |

        |

   0____|_____________

       -2   -1   0   1   2

It's worth noting that the graph is made up of a succession of horizontal lines with "jump" points wherein 3x+5 is a number.  The graph meets the x-axis at the following locations: (-5/3), where the biggest integer was -2, and each subsequent intersection happens at x & (-5/3) + (1/3) & (-4/3), (-5/3) + (2/3) & (-1/3), (-5/3) + (3/3) & 0, (-5/3) + (4/3) & (1/3), and so on.

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The length of the missing side is 3 < x < 13.

We have, two measurement of triangle is 9 and 6 unit.

Also, we know that the length of third side of a triangles lies in between the sum of sides and difference of sides.

So, Sum of sides = 9 + 6= 13 unit

Difference of side= 9-6 = 3 unit

Then, the measure of third side is 3 < x < 13.

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paint 1 house in = 6 days

paint ? house in = 222 days

= 222 ÷ 6 = 37 houses

Answer: A painter can paint 37 houses in 222 days

The radius of the barrel which has the shape of a cylinder would be = 5 ft. That is option C.

To calculate the radius of the barrel, the formula that should be used is the formula for the volume of a cylinder which is given below;

Volume of cylinder = πr²h

where;

π = 3.14

height = 10ft

radius = ?

Volume = 785.4 ft³

That is;3.

785.4 ft³ = 3.14× r² × 10

make r the subject of formula;

r² = 785.4/3.14×10

r = √ 785.4/3.14×10

= √ 785.4/31.4

= √25.01273885

r = 5ft

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Property of logarithms: The property of logarithms that we used in this problem states that if loga(b) ≥ loga(c), then b ≥ c. This property is true for any base of the logarithm. Note that the inequality symbol flips when you move from the logarithmic expression to the exponential expression.

Solving linear inequalities: To solve a linear inequality like ax + b > c, you need to isolate the variable on one side of the inequality. This involves adding or subtracting terms and possibly multiplying or dividing by constants. You need to be careful when multiplying or dividing by a negative number, as this flips the inequality symbol.

Domain restrictions: When solving logarithmic inequalities, you need to make sure that the argument of the logarithm is positive. This means that the expression inside the logarithm cannot be zero or negative. You need to check for domain restrictions and make sure that any values that make the argument zero or negative are not included in the solution.

Check the solution: After solving the inequality, it's always a good idea to check the solution to make sure that it satisfies the original inequality. You can plug in the solution to the inequality and make sure that both sides of the inequality are still true. If not, you may have made a mistake in solving the inequality.

To solve log2(7x-3) ≥ log2(x+12), you can start by using the fact that if loga(b) ≥ loga(c), then b ≥ c:

Using this property, you can rewrite the inequality as:

7x - 3 ≥ x + 12

Simplifying the inequality by subtracting x and adding 3 from both sides, you get:

6x ≥ 15

Dividing both sides of the inequality by 6, you get:

x ≥ 2.5

Therefore, the solution to the inequality is x ≥ 2.5 which is option C.

Note that when you use the property of logarithms to simplify an inequality, you need to make sure that the argument of the logarithm is positive. In this case, both arguments are positive as long as x > 3/7 and x > -12, respectively. However, these conditions are automatically satisfied when x ≥ 2.5, so there is no need to check them separately.

Option 1, 3 and 6 are the proper subsets of the set U = {a, c, e, g, i, k}.

The subsets of U that do not include all of its components are the correct subsets of U. Given that it doesn't include any items of U, Option 1, A = empty set, is a valid subset of U. In the case of option 2, B = "a, c, e, g, i, k" is the set U itself and is not a legitimate subset of U because it contains all of U's components.

Now, option 4, D = {b, d, f, h}, is not a subset of U as it contains elements that are not in U. Option 5 is not correct as it includes both A and B, which is not a proper subset of U. In option 6, both 1 and 3 are given, hence, it is correct.

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Complete question - If U = {a, c, e, g, i, k} then which of the following are proper subsets of U?

Choose one  4 points

1. A = emptyset

2. B = {a, c, e, g, i, k}

3. C = {a, c, e, g}

4. D = {b, d, f, h}

5. Set A, set B and set C

6. Set A, and set C

Answer: The monthly payment for the sailboat is $348.14, and the total interest paid over the 12-year period is $13,080.16.

Step-by-step explanation: To calculate the monthly payment and interest for the sailboat, we can use the formula for the present value of an annuity due:

PV = PMT * [(1 - (1 + r)^(-n)) / r] * (1 + r)

where PV is the present value, PMT is the monthly payment, r is the monthly interest rate, and n is the total number of payments.

First, we need to calculate the present value of the sailboat after the down payment:

PV = $35,000 - (0.2 * $35,000) = $28,000

Next, we can plug in the values and solve for PMT:

$28,000 = PMT * [(1 - (1 + 0.0875/12)^(-12*12)) / (0.0875/12)] * (1 + 0.0875/12)

Simplifying this equation, we get:

PMT = $348.14

Therefore, your monthly payment for the sailboat would be $348.14.

To calculate the total interest paid, we can multiply the monthly payment by the total number of payments (12 years * 12 months/year = 144 payments) and subtract the principal amount:

Total Interest = (PMT * n) - PV

Total Interest = ($348.14 * 144) - $28,000

Total Interest = $13,080.16

Therefore, you would pay a total of $13,080.16 in interest over the 12-year period.

The time it will take for the money in the account to reach $4,000 is about 15.407 years.

To solve for the number of years it takes for the amount in the account to reach $4,000, we need to solve the equation:

[tex]4000 = 2000e^{0.045t[/tex]

Dividing both sides by 2000, we get:

[tex]2 = e^{(0.045t)[/tex]

To solve for t, we can take the natural logarithm of both sides:

[tex]ln 2 = ln e^{(0.045t)[/tex]

Using the property that ln [tex]e^x = x[/tex], we can simplify this to:

[tex]ln 2 = 0.045t[/tex]

Dividing both sides by 0.045, we get:

t = (ln 2)/0.045

Using a calculator, we can evaluate this expression to get:

[tex]t = 15.407[/tex]

Therefore,  it will take about 15.407 years for the amount in the account to reach $4,000.

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The point on the number line that has a value that is the opposite of 15 must be -15

From the question, we have the following parameters that can be used in our computation:

Point = 15

The opposite of 15 is

Opposite = -15

This means that the point must have a value of -15

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The required there are 120 ways to choose a team captain, an assistant captain, and an equipment manager from a team of 10.

The number of ways 3 people can be selected from a team of 10 is given by the combination formula:

C(10, 3) = 10! / (3! (10 - 3)!)
            = (10 x 9 x 8) / (3 x 2 x 1)
            = 120

Thus, there are 120 ways to choose a team captain, an assistant captain, and an equipment manager from a team of 10.

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The equation that shows the point-slope form of the line which passes through (3, 2) is: y - 2 = (x - 3).

The equation of any straight line on a coordinate plane can be expressed in point-slope form as:

y - b = m(x - a), where (a, b) is a point and m is the slope of the line.

Given the point a line goes through as (3, 2), which also has a slope (m) of 1, to find the equation of the line in point-slope form, substitute a = 3, b = 2 and m - 1 into y - b = m(x - a):

y - 2 = 1(x - 3)

y - 2 = (x - 3)

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The factors are (x+6) (x-6), 3(x+4) (x-4), (x+3) (x+3) and 4(x+3)(x-5)

Given that are polynomial, we need to find their factors,

a) x²-36 =

We know that a²-b² = (a+b) (a-b)

So, x²-36 = x²-6² = (x+6) (x-6)

b) 3x²-12 =

3(x²-4²) = 3(x+4) (x-4)

c) x² + 6x + 9

= x² + 3x + 3x + 9

= x(x+3) + 3(x+3)

= (x+3) (x+3)

d) 4x² - 8x - 60

= 4(x²-2x-15)

= 4(x²-5x+3x-15)

= 4{x(x-5) +3(x-5)}

= 4(x+3)(x-5)

Hence, the factors are (x+6) (x-6), 3(x+4) (x-4), (x+3) (x+3) and 4(x+3)(x-5)

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The probability that the randomly selected person attending the concert is an adult or has purchased the ticket in advance is 188/250.

We have,

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given a table which shows when the tickets for a concert are sold and the types of tickets that are sold.

The probability of A or B can be calculated as,

P(A or B) = P(A) + P(B) - P(A and B)

Let A denote the people is an adult.

Let B denote the people who has purchased the ticket in advance.

P(A) = 148/250

P(B) = 140/250

P(A and B) = 100/250

Probability that a randomly selected person attending the concert is an adult or has purchased the ticket in advance is,

P(A or B) = 148/250 + 140/250 - 100/250

              = 288/250 - 100/250

              = 188/250

Hence the required probability is 188/250.

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Answer: $4,580

Step-by-step explanation:

First, we need to calculate the monthly payment for the 15-year, fixed-rate loan at the original rate of 5.05%. We can use the formula for the monthly payment of a mortgage loan:

P = L[c(1 + c)^n]/[(1 + c)^n - 1],

where P is the monthly payment, L is the loan amount, c is the monthly interest rate (which is the annual interest rate divided by 12), and n is the total number of payments (which is the number of years multiplied by 12).

Plugging in the given values, we get:

L = $137,000

c = 0.0505/12 = 0.0042083 (rounded to 7 decimal places)

n = 15 x 12 = 180

P = $1,071.18

Next, we need to calculate the monthly payment at the lower rate of 4.81% if the buyers purchase four points. Each point costs 1% of the loan amount, so four points will cost 4% of the loan amount.

The new rate after purchasing four points is:

5.05% - 0.24% = 4.81%

The new loan amount after purchasing four points is:

$137,000 - (4% x $137,000) = $131,920

Using the same formula for the monthly payment, but with the new values for the loan amount and monthly interest rate, we get:

L = $131,920

c = 0.0481/12 = 0.0040083 (rounded to 7 decimal places)

n = 15 x 12 = 180

P = $1,030.98

The monthly savings due to the lower interest rate is:

$1,071.18 - $1,030.98 = $40.20

To calculate the cost of the four points, we need to divide the upfront cost of the points by the monthly savings:

Cost of four points = ($40.20 x 180)/0.0024 = $3,015

Therefore, the cost of the four points is $3,015, which is closest to $4,580.

The four points that the homebuyers are purchasing to lower their rate from 5.05% to 4.81% will cost them D. $5,480.

The points purchased for loans are charges that the borrower pays upfront to lower their interest rates.

Each point equals a percentage of the loan amount.

For example, four points on a $137,000 loan are 4 percent of the loan amount, or $5,480.

The loan amount for the purchase of the condominium = $137,000

Fixed interest rate = 5.05%

Loan period = 15 years

Loan option rate = 4.81%

Hence, Four points =  $137,000 x 4%

                              = $5,480

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Answer:

9 Prizes

Step-by-step explanation:

She begins with 420 tickets.

She goes on 2 rides for 75 tickets each so 420-75-75= 270

She then attends the concert for 180 tickets so 270-180= 90

Now she is left with 90 tickets. 10 tickets = 1 prize therefore you can do 90/10 = 9

9 PRIZES

The class width is 0.3877.

In order to analyze data, it is often helpful to group it into categories, or intervals, and then determine how frequently each interval occurs. This process is known as frequency distribution.

To calculate the class width, you need to determine the range of each interval. The range is the difference between the upper and lower limits of the interval. For example, the first interval is 160-179, so the range is 179-160=19.

In mathematical terms, the formula for class width is:

Class Width = (Range of all intervals) / (Number of intervals)

In your case, the range of the intervals are:

19, 19, 19, 19, and 19

And the number of intervals is:

53 + 24 + 93 + 27 + 48 = 245

So, the class width can be calculated as follows:

Class Width = (19+19+19+19+19) / 245

Class Width = 95 / 245

Class Width = 0.3877

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Complete Question:

The data given below is for 245 randomly selected 10-minute intervals, where the number of people entering the atrium of a large mall were recorded. Calculate the class width.

Number of Guests         Frequency

160 - 179                                 53

180- 199                                 24

200 - 219                              93

220 - 239                              27

240 - 259                             48

Answer:

The statement that best defines a circle is:

C. The set of all points that are the same distance from a given point called the center.

A circle is a geometric shape consisting of all the points in a plane that are equidistant from a fixed point called the center. The distance from the center to any point on the circle is called the radius, and the distance across the circle through the center is called the diameter. Therefore, a circle is defined as the set of all points that are the same distance (equal to the radius) from a given point (the center).

Answer: The answer should be B

The Mean Absolute Deviation of the given data set, 58, 38, 54, 48, 26, 36 is 10

From the question, we are to calculate the mean absolute deviation of the given data set

The given data set is:

58, 38, 54, 48, 26, 36

First, we will determine the mean of numbers

Mean = (58 + 38 + 54 + 48 + 26 + 36) / 6

Mean = 260 / 6

Mean = 43.33

To calculate the MAD, we will determine the absolute deviation of each data from the mean

|58 - 43.33| = 14.67

|38 - 43.33| = 5.33

|54 - 43.33| = 10.67

|48 - 43.33| = 4.67

|26 - 43.33| = 17.33

|36 - 43.33| = 7.33

Now, we will calculate the mean of the absolute deviations

MAD = (14.67 + 5.33 + 10.67 + 4.67 + 17.33 + 7.33) / 6

MAD = 60/6

MAD = 10

Hence, the MAD is 10

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Answer:

0 they cancel each other out..

Step-by-step explanation:

The expression -4x + 4x simplifies to zero:

-4x + 4x = (-4 + 4)x = 0x = 0

Therefore, the result is zero.

Answer:

Step-by-step explanation:

yees

1/5 ÷3 is equal to 1/15

I hope this helps

Answer:

To convert radians to degrees, we use the conversion factor which is:

1 radian = 180/π degrees

To convert 11π/12 radians to degrees, we can multiply by the conversion factor:

11π/12 radians × 180/π degrees/radian = 990/π degrees

This is the exact value in degrees. If we want a decimal approximation, we can use a calculator to evaluate:

990/π degrees ≈ 315.944 degrees

Therefore, 11π/12 radians is approximately equal to 315.944 degrees.