Find the coordinates of the circumcenter of the triangle with the given vertices.
A(2, 2), B(2, 4), C(8, 4)
The circumcenter is (_ ,_)

Answer:

48%

Step-by-step explanation:

Finding percents

P * 75 = 36

Divide each side by 75

P = 36/75

P =.48

Change to percent form

P = 48%

Answer:

48%%%%%

Step-by-step explanation:

Answer:

depends for what?

Step-by-step explanation:

for shoes, stationary, clothes etc be a bit specific

The point estimate of the difference between the two population means is -1.05.

Here, we are given the data representing the scores of the golf players in the 1st and final rounds.

a. The significance level is: α = 0.10

we can construct the following hypothesis test-

Null hypothesis H₀ ⇒ μd = 0

This implies that there is no difference between the population mean of the first round and final round.

Alternative hypothesis: Ha ⇒ μd ≠ 0

This implies that there is a difference between the population mean of the 1st round and final round.

Now, the test statistic will be-

[tex]t = (d-mean_{d})\sqrt{n}/ s_{d\\}[/tex]

we can use excel to calculate the test statistic.

This will give us: 0.10 < P < 0.20

b. the main margin of error is 90% confidence level. This means that there is no significant difference, hence - 1.05.

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Your question was incomplete. Check for the missing figure below.

After solving the given expression, the value obtained for x will be equal to -6,

If a mathematical operation includes at least two words that are connected by an operator and either comprise numbers, variables, or both, it is referred to as an expression.

The operations with reflection coefficients include adding, subtracting, multiplying, and dividing. A mathematical operation like reduction, addition, multiplication, or division is used to include terms in an expression.

As per the given equation in the question,

2/3x + 5/6 = 1/2 (x - 1/3)

2/3x + 5/6 = 1/2x - 1/6

Substitute like terms together,

2/3x - 1/2x = -1/6 - 5/6

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

x/6 = -6/6

x/6 = -1

x = -6

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The expression using the common factor is 1/12xy(x² + 5y)

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

1/12 x^3 y + 5/12 xy^2

Rewrite properly

So, we have

1/12x³y + 5/12xy²

Factor out 1/12 from the expression

So, we have the following representation

1/12(x³y + 5xy²)

Factor out x from the expression

So, we have the following representation

1/12x(x²y + 5y²)

Factor out y from the expression

So, we have the following representation

1/12xy(x² + 5y)

Hence, the expression is (c) 1/12xy(x² + 5y)

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Answer:The expression using the common factor is 1/12xy(x² + 5y)

Step-by-step explanation:

Answer: -8

Step-by-step explanation: When adding 2 negative numbers, you go farther back left on the number line. (Negative side) So, 4 + 4 = 8, and a negative + a negative = negative, so this results in -4 + (-4) = -8. I hoped this helped!

An investment of $6,400 to increase to $14,000 if it is invested at 5% per year compounded continuously is ≈15.6

Define compound interest?

Given that :

P = $ 6,400

Q = $ 14,000

r = 5%

Let P be the initial investment

r be the rate of interest

t be the time

Q be the increase amount

Q = P [tex]e^{rt} }[/tex]

14,000 = 6,400 ([tex]e^{0.05t}[/tex])

[tex]e^{0.05t}[/tex] = [tex]\frac{14000}{6400}[/tex]

[tex]e^{0.05t}[/tex]  = 2.187

Taking log on both sides , we get

0.05t = ln (2.187)

0.05t = 0.78

       t = [tex]\frac{0.78}{0.05}[/tex]

       t ≈ 15.6

An investment of $6,400 to increase to $14,000 if it is invested at 5% per year compounded continuously is ≈ 15.6

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Answer:

7 km

Step-by-step explanation:

14/2 cm which equals 7km

Answer:

there is 2/8 and 3/12 .they are both equivalent to each ,and equal 1/4.2 is 1/4 of because 2×4=8 is 1/4 of 12 because 3×4=12.

Answer:

x = -7 sqrt(3)

Step-by-step explanation:

Tan(300°)=z/7

Multiply each side by 7

7 Tan(300°)=z

Replacing tan 300 with tan 120 since they are equal

7 Tan(120°)=z

7 ( - sqrt(3)) = z

x = -7 sqrt(3)

Using generating function number of different selections of r hot dogs when there are four types of hot dogs are g(x) = ( 1/(1-x) )⁴.

For a sequence a₀,a₁,...,aₙ,... the corresponding generating function f(x) is the sequence

f(x)=a₀+a₁x+...+aₙxₙ+...= ∑aᵢxᵢ , 0 ≤ i ≤ ∞

Since here we have 4 types of hot dogs, from which we need to select "r" hot dogs, we would use a generating function as follows:

There can be any number of selections from any pile of hot dogs ( repitions is allowed). therefore, from each pile, you could pick up 1 or 2 or 3 or ... hot dogs. The same would go for all types of hot dogs. Therefore ,the generating function for the same would be,

g(x) = (1 + x + x² + x³ + x⁴ + ...)(1 + x + x² + x³ + x⁴ + ...)(1 + x + x² + x³+ x⁴ + ...)(1 + x + x² + x³+ x⁴+ ...)

Therefore, g(x) = (1 + x + x² + x³ + x⁴ + ...)⁴

This is an infinite geometric series, which can be solved to give the sum: g(x) = ( 1/(1-x) )⁴. Therefore, our required the coefficient of xʳ in (1/ (1-x) )⁴.

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The measure of the length (q) of the right-angle triangle will be 2√14 units. Then the correct option is B.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The right-angle triangles are shown.

In similar triangles ΔQTS and ΔSTR, we have

ST / TR = QT / ST

ST / 4 = 10 / ST

s² = 40

Then the measure of the length (q) is given as.

q² = s² + 4²

q² = 40 + 16

q² = 56

q = 2√14

The measure of the length (q) of the right-angle triangle will be 2√14 units. Then the correct option is B.

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If the 0.99 probability of completing the project on time, then the scheduled meeting date should he begin working on the project is 2.39 weeks

How to calculate the probability?

In math, the probability can be determined by first knowing the sample space of outcomes of an experiment and then by dividing the number of outcomes of an event by the total number of possible outcomes or sample space.

Here we have given that Doug Casey is in charge of planning and coordinating next spring’s sales management training program for his company.

And we need to find the If Doug wants a 0.99 probability of completing the project on time, how far ahead of the scheduled meeting date should he begin working on the project.

Here we know that the duration of the critical path determines the completion of the whole project.

Therefore, the mean completion time of the project =μ=15

And the the variance of the critical path = sum of the variances of the activities A, B, G, H, and I =0.03+0.44+0.44+0.11+0.03=1.06

Therefore, the standard deviation of the critical path or that of the whole project =σ=√1.06=1.03

Here we know that, if a 0.99 probability of completion is required, then the corresponding Z-score =2.3263

Then the actual completion time corresponding to a Z-score of

=> 2.3263 = μ+(Z×σ) = 15+(2.3263×1.03) = 15+2.39 = 17.39 weeks

Which states that the extra time needed over and above the mean completion time of the project of 15 weeks to have a 0.99 probability of completion =17.39−15=2.39 weeks

Therefore, in order to have a 0.99 probability of completing the project on time, the project should be started 2.39 weeks ahead of the scheduled meeting date.

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Answer:

x=ln(4)

Step-by-step explanation:

e^2x +3e^x- 28=0  

u^2 + 3u - 28 = 0   ==> substitute u for e^x

u^2 - 4u + 7u - 28 = 0

u(u-4) + 7(u-4) = 0

(u-4)(u+7)=0    ==> simplify

u-4=0                     u+7=0

u=4                             u=-7

e^x=4                     e^x=-7       ==> substitute e^x for u

ln(e^x)=ln(4)           ln(e^x)=-7    ==> take natural log on each side

x=ln(4)                   x=ln(-7), which is not possible since natural log>0

x=ln(4)

Answer:

[tex]{e}^{x} = y \\ {y}^{2} + 3y - 28 = 0 \\ (y - 4)(y + 7) = 0 \\ y = 4 \\ y = - 7 \\ {e}^{x} = 4 \\ x = ln(4) \\ x = ln( - 7)[/tex]

Answer:                                                                                                                                             Step-by-step explanation:

Number of marbles were not chosen = 62 marbles

Number of marbles were in the bag before the game = 86 marbles

Number pf blue marbles were chosen = 24

Number of blue marbles = 40

Number of white marbles = 46 marbles

Total number of marbles = 40 + 46

= 86 marbles

Of the 40 blue marbles, 3/5 fraction were chosen

Number of blue marbles chosen = 40 × (3/5)

= 24 marbles

Part a

Number of bag's marbles were not chosen = 86 - 24

= 62 marbles

Part b

Number of marbles were in the bag before the game = 86 marbles

Part c

Number of blue marbles were chosen = 40 × (3/5)

= 24 marbles

Therefore, the 62 marbles were not chosen. There were 86 marbles before the game and number of blue marbles were chosen is 24 marbles

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Each interval's sample points are at the right ends. sample points :x 1 = 0∘x 2 =08x 3=0 8 is 0°, 8°, 16°

Since the sample points in each interval are right endpoints, we need to find the points that are 8° apart.

The first sample point x1 is 0°. To find the next two sample points, we need to add 8° to the first sample point.

Therefore, the second sample point x2 = 8°, and the third sample point x3 = 16°.

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Answer:

c.

Step-by-step explanation:

as this can take on any value (with as many digits after the decimal point as necessary) between certain interval limits.

all the others are usually either pure integers (and every real number in between them is not valid) or at most have finite fractions (like 1/2 or 1/4 points for scores, and between these no value is valid).

The researcher claim is invalid and the p-value based on alpha = 0.05 is   approx. = 0.

In the question ,

it is given that ,

a researches claims that per person yearly consumption (μ) is 52 gallons .

sample size (n) = 50 .

the mean of the consumption (x) = 56.3 .

the standard deviation (σ) is = 3.5 gallons .

the α = 0.05 .

let the null hypothesis ,

H₀ : μ = 52 and

H₁ : μ ≠ 52 .

the test statistics is : z = (x - μ)/(σ/√n)

the critical value ( rejection region ) : {z : |z| ≥ z₀.₀₂₅ = 1.96 }

So , z = (56.3 - 52)/(3.5/√50)

Simplifying further ,

we get ,

z = 8.69

We reject the null hypothesis H₀ , since the absolute value of the test statistics 8.69 is greater than the critical value 1.96 .

Since this is a two tailed test,  p-value must be multiplied by two

2 × P(z > 8.69) ≈  0

Since the p-value is less than α(0.05), So ,we reject the claim of the researcher that the mean yearly consumption of soft drinks per person is 52 gallons

Hence , the claim is not valid .

Therefore , The claim is invalid and p-value is ≈ 0 .

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Answer What is the midpoint of /AB? =b. point G

Step-by-step explanation:

AB is the abbreviation of “artium baccalaureus,” which is the Latin name for the Bachelor of Arts (BA) degree. It's a liberal arts degree, so it emphasizes the humanities, languages, and social sciences fields

The two sided hypothesis of the given situation is H0 : p = 0.50 and Ha : p ≠ 0.50

in statistics, hypothesis is defined as a statement that explains the predictions and reasoning of your research.

Here we have given that cerebral tumors and cell phone use. in a case-controlled study on cerebral tumors and cell phone use, tumors occurred more frequently on the same side of the head where cellular telephones had been used in 26 of 41 cases.

And we need to find the test to the hypothesis that there is an equal distribution of contralateral and ipsilateral tumors in the population. use a two-sided alternative.

Here we have to find Hypothesis, for that we have to so the steps are shown below:

Let us considered the hypotheses for the study as shown below:

H0 : p =0.50

Versus,

Ha : p ≠ 0.50

Therefore, this is two tailed hypothesis test.

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a) The equation that describes the relation between x and y is y = 8x - 1000

b) They made 8% profit from selling the calendars

c) They will loss 1000 when they sold no calendars.

Given,

Members of student council had a loss of $360 after selling 80 calenders

They made a profit of $600 after selling 200 calenders.

y be the profit or loss

x be the calendars sold

We have to find the following;

a) The equation of the line in Slope-Intercept form is:

y = mx + b

Where "m" is the slope and "b" is the y-intercept.

We are aware that "y" here stands for the profit or loss and "x" for the quantity of calendars sold.

Then,

According to the exercise, the line passes through these two points:

(80, -360) and (200, 600)

Then,

We can find the slope of the line with the formula;

m = (y₂ - y₁) / (x₂ - x₁)

m = (-360 - 600) / (80 - 200)

m = -960/-120

m = 8

Now,

We can substitute the slope and one of those points into y = mx + b and solve for "b":

600 = 8 × 200 + b

-b = 1600 - 600

b = -1000

Then,

Substituting values, we get that the equation that describes the relation between the profit and loss and the number of calendars sold, is:

y = 8x - 1000

b) The slope of the line is the profit they made from selling each calendar

Profit = 8

c) The y-intercept is the amount they would have lost if they had sold no calendars:

b = -1000

They'd have lost $1000 if they had sold no calendars.

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Using the confidence interval and null hypothesis we can conclude that the salaries for the finance majors are significantly lower than the salaries of the business analytics majors.

a) The null and alternative hypothesis is given by

H₀:  μ1 − μ2 = 0

H₁:  μ1 − μ2 < 0

b) Test statistic is given by  [tex]\frac{\bar{x}_1-\bar{x}_2-0}{\sqrt{\frac{S_1^2}{n_1}+\frac{S_2^2}{n_2}}}[/tex]

here:

S₁ = 19000

S₂ = 10000

x₁ = 48237

x₂ = 55217

n₁ = 120

n₂ = 30

Putting the above values we get:

[tex]z=\frac{48237-55217}{\sqrt{\frac{19000^2}{120}+\frac{10000^2}{30}}}[/tex]

or, z = -2.7717744...

or, z ≈ -2.772

c) p-value

= P(Z<-2.772)

= 0.002786

= 0.0028

d) now we will use the p-value to essentially use or reject the the hypothesis.

So the confidence interval of 955 is used for the p-value.

p-value(0.0028) < ∝(0.05)

Hence we will reject the H₀ .

Hence we will conclude that the salaries for the finance majors are significantly lower than the salaries of the business analytics majors.

A confidence interval is a range of estimates for an unknown parameter (CI). The most common confidence level is 95%, but when calculating confidence intervals, other levels, such 90% or 99%, are also occasionally employed.

The confidence level is a measure of how many related CIs over the long run include the actual value of the parameter. For instance, the parameter's true value should be included in 95% of all intervals produced at the 95% confidence level.

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Answer:

y = 2x + 6

Step-by-step explanation:

The equation is in point slope form or y = mc + b

where m is the slope and b is the y intercept

Since the graph is simply shifted up 3 units, the y intercept will change by increasing by 3, but the slope will not

the value of t such that the area in the left tail of the t -distribution is 0.05, if the sample size is 48. t is 0.76197086

Consider a t distribution with 7 degrees of freedom. Compute P(-1.29 < t < 1.29)

P(-1.29 < t < 1.29) would be the area under the t distribution curve with 7 degrees of freedom between -1.29 and 1.29, that is in the interval (-1.29, 1.29).

This can be done the old style by looking up in a table or by using the technology with a spreadsheet.

In Excel, the function TDIST(x,n,2) with x>0 gives the area outside the interval (-x, x) of the t distribution with n degrees of freedom.

So TDIST(1.29,7,2) gives the area outside (-1.29, 1.29).

If we subtract this value from 1 we get the desired result

Hence  

P(-1.29 < t < 1.29) = 1 - TDIST(1.29,7,2) = 1 - 0.23802914 = 0.76197086

In OpenOffice Calc, the function is the same replacing “,” with “;”  

That is

P(-1.29 < t < 1.29) = 1 - TDIST(1.29;7;2) = 0.76197086

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Answer:

p ≈ 10.24 cm

Step-by-step explanation:

r = 2p

h = 5p

Volume of a cone = (1/3)πr²h

22,500 = (1/3)π(2p)²(5p)

Now solve for p:

67500 = π4p²5p

67500 = π20p³

p³ = (67500)/π20 = 1074.3

p = ∛1074.3

p ≈ 10.24 cm

Answer:

Step-by-step explanation:

The odds of selecting 5 cards from a deck of 52 are 52c5. Probability = Maximum outcomes / Possible outcomes for the given circumstance = 52!/47!*5! = 2598960. Now, in poker, the chance of selecting any two numbers from a pool of 13 distinct numbers is 13c2.

Possible poker hands

C(n,r)= C(52,5)

=52!/(5!(52-5!)

=2598960

Hand with pattern

(X,X,Y,Y,Z)

Number of choices for x and y

C(n,r)= C(13,2)

=13!(2!(13-2)!)

=78

Ways to get 2 X's

C(n,r)= C(4,2)= 4!(2!(4-2)!) =6

Similarly, ways to get  2x's is 6

We have 44 choice of occurance for Z

Hands with two pairs =78*44*6*6= 123552

So, Probability of Two pairs is =123552/2598960=0.047539  

P(Two pairs) = 0.0475

How many ways can we choose two pairs in a poker hand?

There are 13 ways to choose the denomination of the first pair, 12 ways to choose the denomination of the second pair, and 4 choices for the remaining card. Thus, there are 13\cdot 12\cdot 4 = 624 ways to choose two pairs in a poker hand.

In poker, a hand is made up of 5 cards from a deck of 52 cards. The different possible hands in poker include a royal flush, straight flush, four of a kind, full house, flush, straight, three of a kind, two pair, and one pair.

In this problem, we are asked to find the probability of getting a hand with two pairs.

To find the probability of two pairs, we first need to find the total number of possible poker hands. This is done using the combination formula C(n,r) where n is the total number of cards (52 in this case) and r is the number of cards needed to make a hand (5 in this case). This gives us a total of 2598960 possible poker hands.

Next, we need to find the number of possible hands with two pairs. A hand with two pairs has a pattern of X,X,Y,Y,Z where X and Y are the ranks of the pairs and Z is the remaining card. There are 13 ranks in a deck of cards (Ace, 2, 3, ..., 10, Jack, Queen, King) and we need to choose 2 of these ranks to be the ranks of the pairs. This can be done in C(13,2) ways, which is 78.

There are 4 cards of each rank in a deck, so there are 6 ways to choose the 2 cards of rank X and 6 ways to choose the 2 cards of rank Y.

Finally, we have 44 choices for the remaining card (Z) because there are 13 ranks and we have already used up 2 ranks for the pairs.

Therefore, the number of possible hands with two pairs is 78*6*6*44 = 123552. The probability of getting a hand with two pairs is then 123552/2598960 = 0.047539 or approximately 0.0475.

Therefore, the final answer is P(Two pairs) = 0.0475.

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Answer: The probability of receiving a hand with two pairs is  0.04322.

Step-by-step explanation:

How many ways are there in a poker hand to pick two pairs?

There are 13 ways to choose the denomination of the first pair, 12 ways to choose the denomination of the second pair, and 4 choices for the remaining card. Thus, there are 13*12*4 = 624 ways to choose two pairs in a poker hand.

In poker, a hand is made up of 5 cards from a deck of 52 cards. The different possible hands in poker include a royal flush, straight flush, four of a kind, full house, flush, straight, three of a kind, two pair, and one pair.

To choose the denominations of the two pairings, there are C(13,2)=78 possible options. There are C(4,2)=6 methods to select the two cards in each pair for each of these approaches. The remaining card's denomination can be determined in C(4,1)=4 different ways. As a result, there are 78*6*6*4=11232 different ways to deal a hand with two pairs.

A hand of five cards can be dealt in C(52,5)=2598960 different ways. Therefore, the probability of receiving a hand with two pairs is  11232/2598960=0.04322.

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The number of ID cards when no digit can be used more than once is 604,800 and when the digits can be repeated it will be 10,000,000 ID cards.

Permutations are several ways to arrange things in a specific sequence. It can alternatively be stated as the linear reordering of items within an ordered set.

As per the given information in the question,

Let's first make a list of all the potential outcomes. As follows:

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

a.

No numeral may be used multiple times in the first instance.

Therefore,

10 × 9 × 8 × 7 × 6 × 5 × 4

= 604,800 ID cards

b.

In the second scenario, assuming it is possible to repeat the digits, then,

10 × 10 × 10 × 10 × 10 × 10 × 10 = 10,000,000 ID cards.

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On solving the provided question, we can that the answer - The distance between two points is the length of a line segment that connects them.

A line is a shape that has no width, depth, or curve in its geometry. It is an item that can be used for a long time. A line can exist in a two-dimensional, three-dimensional, or more dimensional space, but is still a one-dimensional object. A line segment with two endpoints is commonly called a "line".

Main notations:

A plane is a flat, indefinitely long, 2D surface with no thickness. Option 1 is accurate. A point is a precise place. It just has position; it has no length, breadth, or depth. Option 2 is untrue. Collinear points are any two or more points that are situated differently yet are on the same line. Option 3 is untrue. A line has no thickness, is straight (has no bends), and goes in both directions without ending (infinitely). Option 4 is accurate. The length of a line segment that links two places represents their distance. Option 5 is accurate.

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