what is th awnser for underline the addition property for (6+1)+8=6+(1+8)

Answers

Answer 1

Answer: Law of Association

Step-by-step explanation:

The Law of Association states that [(p + q) + r] = [p + (q +r)]

Replace p with 6, q with 1 and r with 8.

[(6 + 1) + 8] = [6 + (1 + 8)]

-or-

(6 + 1) + 8 = 6 + (1 + 8)

This is 15=15 ,which is a correct equation.


Related Questions

2.why is a physical mesh topology normally an impractical solution?

Answers

A physical mesh topology is an impractical solution for most network deployments due to the high cost, complexity, and inefficiency of managing a large number of connections and cables.

A physical mesh topology is an impractical solution for most organization arrangements since it requires countless associations and cabling, which can be costly and challenging to make due. In a physical mesh topology, every node in the organization is associated with each and every node through a different link, making a repetitive and profoundly tough organization.

In any case, as the quantity of nodes in the organization expands, the number of associations and links required additionally increments dramatically, making it challenging to oversee and investigate. Additionally, physical mesh topologies are less productive than other organization geographies, like star or transport geographies, since they require really cabling and can create setbacks and dormancy in information transmission.

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Find the midpoint of a line segment whose endpoints are (-14, 4) & (6,12)
(-1,5)
(-4,4)
none of these
(1/2,2)
(5,1)

Answers

None of these is the answer

Pls hurry and ty!!!!​

Pls hurry and ty!!!!

Answers

Answer: 64

Step-by-step explanation:

So if the length of an edge is 4, the volume is 4 x 4 x 4 = 64 Or as a formula: volume = s3 where: s is the length of any edge of the cube.

Answer:

64 feet

Step-by-step explanation:

LxHxW

4x4x4

64 feet

select all valid relational set operators from the list below. select all that apply. group of answer choices plus union unionize except

Answers

The Union of South American Nations (UNASUR) is not a regional alliance.

What is the Union of South American Nations?

The Union of South American Nations was formed in 2008 to further the interests of South American nations. It was an intergovernmental union and that was meant to bring more prosperity to the region.

There are also plans to make UNASUR a single-currency union. The Union of South American Nations was never meant to be a regional alliance however.

complete question is

the union of south american nations (unasur) is considered all of the following except (5 points) group of answer choices a supranational organization an intergovernmental union a single-currency union a regional alliance

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a) create a stemplot with the given data.
b) Find the Five Number Summary for this data set.
c) Identify if there are any outliers. Be sure to show your work.
d) Construct a boxplot.
e) What is the shape of the distribution?
f) What measure of center and measure of variability would be best choice for this data? Explain your reasoning.
g) Find the mean and standard deviation for the given data set.

Answers

The mean is 16 and the standard deviation is 1.5.

a) Create a stemplot with the given data.

Stem | Leaves

1 | 2 2 3 3 4 5 5 6 6 7 7 8

b) Find the Five Number Summary for this data set.

The five number summary is:

Minimum: 12

First Quartile (Q1): 15

Median: 16

Third Quartile (Q3): 18

Maximum: 20

c) Identify if there are any outliers. Be sure to show your work.

There are no outliers in this data set. The data points are all within 1.5 times the interquartile range of the median.

d) Construct a boxplot.

Minimum     12

Q1       15

Median    16

Q3       18

Maximum    20

e) What is the shape of the distribution

The distribution is symmetric.

f) What measure of center and measure of variability would be best choice for this data? Explain your reasoning

The mean and standard deviation would be the best measures of center and variability for this data. The mean is a good measure of center because the data is symmetric. The standard deviation is a good measure of variability because the data is not too spread out.

g) Find the mean and standard deviation for the given data set.

The mean is 16 and the standard deviation is 1.5.

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help asapppp porfas

help asapppp porfas

Answers

Answer:

a

Step-by-step explanation:

9/35=0.275

A is the answer... mark brainlyist

Bob makes his first $900 deposit into an IRA earning 8.1% compounded annually on his 24th birthday and his
last $900 deposit on his 41st birthday (18 equal deposits in all). With no additional deposits, the money in the
IRA continues to earn 8.1% interest compounded annually until Bob retires on his 65th birthday. How much is
in the IRA when Bob retires?

Answers

The total amount accumulated from the deposits by Bob's 41st birthday is approximately $24,409.16.

When Bob retires on his 65th birthday, the approximate amount in his IRA will be $144,679.61.

To calculate the amount in Bob's IRA when he retires on his 65th birthday, we need to consider the periodic deposits made from his 24th birthday to his 41st birthday and the subsequent compounding interest until his retirement.

Given:

Bob makes equal deposits of $900 annually from his 24th to 41st birthday (a total of 18 deposits).

The interest rate is 8.1% compounded annually.

First, let's calculate the total amount accumulated from the annual deposits until Bob's 41st birthday. We can use the formula for the future value of an annuity:

FV = P * ((1 + r)^n - 1) / r

Where:

FV = Future Value

P = Payment (deposit amount)

r = Interest rate per period

n = Number of periods

Using the given values:

P = $900

r = 8.1% or 0.081 (converted to decimal)

n = 18

FV = 900 * ((1 + 0.081)^18 - 1) / 0.081

≈ $24,409.16

So, the total amount accumulated from the deposits by Bob's 41st birthday is approximately $24,409.16.

Next, we need to calculate the future value of this amount from Bob's 41st birthday to his retirement at age 65. We can use the formula for compound interest:

FV = PV * (1 + r)^n

Where:

FV = Future Value

PV = Present Value (the accumulated amount from the deposits)

r = Interest rate per period

n = Number of periods

Using the given values:

PV = $24,409.16

r = 8.1% or 0.081 (converted to decimal)

n = 65 - 41 = 24 (the number of years from age 41 to 65)

FV = 24,409.16 * (1 + 0.081)^24

≈ $144,679.61

Therefore, when Bob retires on his 65th birthday, the approximate amount in his IRA will be $144,679.61.

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the shape of this graph is best described as 2012 housing prices

Answers

Answer:

tell the full question

Step-by-step explanation:

bro

a school show had ticket sales of $1,430 the first night and $2,070 the second night. 120 student tickets, 110 adult tickets were sold on the first night. 160 student tickets and 170 adult tickets were sold on the second night. find the price of the student ticket

Answers

The price of a student ticket is of $5.46.

A equation system is formed when a number of variables are linked and equations are constructed to determine the values of the each variable.

The variables are listed below:

Variable x represents the cost of a student ticket.

Variable y: Adult ticket price.

The formulae are as follows, taking into account the revenues as well as the number of ticket sales:

120x + 110y = $1,430.

160x + 170y = $2,070.

From the second equation:

170y = $2,070 - 160x

y = ($2,070 - 160x) ÷ 170

y = 12.176 - 0.94x

Replacing in the first equation:

120x + 110y = $1,430.

120x + 110(12.176 - 0.94x) = $1,430

120x + 1339.36 - 103.4x = $1,430

16.6x = 90.64

x = 90.64 ÷ 16.6

x = 5.46

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. what is the expected value of the job satisfaction score for senior executives (to 2 decimals)? 4.05 b. what is the expected value of the job satisfaction score for middle managers (to 2 decimals)? 3.84 c. compute the variance of job satisfaction scores for executives and middle managers (to 2 decimals). executives .03 middle managers 0.03 d. compute the standard deviation of job satisfaction scores for both probability distributions (to 2 decimals). executives .18 middle managers 0.18 e. what comparison can you make about the job satisfaction of senior executives and middle managers

Answers

a. The expected value of the job satisfaction score for senior executives is 4.05.

b. The expected value of the job satisfaction score for middle managers is 3.84.

c. The variance of job satisfaction scores for executives is 0.03 and the variance of job satisfaction scores for middle managers is also 0.03.

d. The standard deviation of job satisfaction scores for senior executives is 0.18 and the standard deviation of job satisfaction scores for middle managers is also 0.18.

e.  We can conclude that while senior executives have a higher average job satisfaction score, the variability of job satisfaction scores is the same for both groups.

The given problem provides statistical information about the job satisfaction scores of senior executives and middle managers, including their expected values, variances, and standard deviations.

a. The expected value, also known as the mean, represents the average job satisfaction score for senior executives. The expected value for senior executives is 4.05. This means that, on average, senior executives have a job satisfaction score of 4.05.

b. Similarly, the expected value for middle managers represents the average job satisfaction score for this group. The expected value for middle managers is 3.84. This means that, on average, middle managers have a job satisfaction score of 3.84.

c. The variance of probability distribution measures how spread out the scores are from the mean. A higher variance indicates that the scores are more spread out, while a lower variance indicates that the scores are closer to the mean. The problem states that the variance of job satisfaction scores for both senior executives and middle managers is 0.03. This means that the job satisfaction scores are equally spread out from the mean for both groups.

d. The standard deviation of a probability distribution is the square root of the variance. It represents the typical distance of each score from the mean. A higher standard deviation indicates that the scores are more spread out, while a lower standard deviation indicates that the scores are closer to the mean. The problem states that the standard deviation for job satisfaction scores for both senior executives and middle managers is 0.18. This means that the typical distance of each score from the mean is the same for both groups, indicating that the job satisfaction scores are equally spread out.

e. Based on the given information, we can compare the job satisfaction scores of senior executives and middle managers. The expected value for senior executives is higher than the expected value for middle managers, indicating that senior executives are more likely to have higher job satisfaction scores on average. However, the variance and standard deviation for job satisfaction scores are the same for both groups, indicating that the job satisfaction scores are equally spread out for both groups. Therefore, we can conclude that while senior executives have a higher average job satisfaction score, the variability of job satisfaction scores is the same for both groups.

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37. Multiple Choice

Which conditional and its converse are both true?
A If x= 1, then 2x 2.
B If x= 3, then x² = 6.
DIf x² = 4, then x = 2.

C If x = 2, then x² = 4.

Answers

Answer:

does ² mean ×2?

cuz if it does that maybe I can help

Dan uses a remote control to make his drone take off from the ground. Function h represents the height, in feet, of the drone t seconds after it begins flying.
h(t)=-16(t-2)^2+64

Which statement correctly describes this situation?

A.
The drone is on the ground at 2 and 4 seconds.
B.
The drone is on the ground at 0 and 2 seconds.
C.
The drone is on the ground at 0 and 16 seconds.
D.
The drone is on the ground at 0 and 4 seconds.

Answers

Answer: C.   The drone is on the ground at 0 and 4 seconds.

you have a blessed thanksgiveing

Answer:

sorry i didn't understand

A company expects that the number N(x) of a product sold during a week is related to the amount spent on advertising by the function N(x)=-6x3+180x²+2250x + 13,000, where x (with 0 ≤x≤25) is the amount spent on advertising in thousands of dollars. What is the point of diminishing returns?
The point of diminishing returns is
(Simplify your answer. Type an ordered pair. Do not use commas in the individual coordinates.)

Answers

The point of diminishing returns is (20.98, 21247.3).

The point of diminishing returns occurs when the marginal cost of producing an extra unit of output exceeds the marginal revenue generated from selling that unit. Mathematically, it is the point at which the derivative of the production function equals zero and the second derivative is negative.

Given the polynomial function N(x) of degree 3, we can find the point of diminishing returns by finding the critical points where the first derivative equals zero and evaluating the second derivative at those points.

The derivative of N(x) is N'(x) = -18x² + 360x + 2250. To find the critical points, we set N'(x) = 0:

0 = -18x² + 360x + 2250

Dividing by -18 simplifies the equation:

0 = x² - 20x - 125

Using the quadratic formula, we find the solutions to the equation:

x₁,₂ = (20 ± √(20² - 4(1)(-125))) / 2(1)

x₁,₂ = 10 ± 5√5

Thus, the two critical points of N(x) are at x = 10 - 5√5 and x = 10 + 5√5.

To determine the point of diminishing returns, we evaluate the second derivative N''(x) = -36x + 360 at these critical points:

N''(10 - 5√5) = -36(10 - 5√5) + 360 ≈ -264.8

N''(10 + 5√5) = -36(10 + 5√5) + 360 ≈ 144.8

From the evaluations, we find that N''(10 + 5√5) is negative while N''(10 - 5√5) is positive. Therefore, the point of diminishing returns corresponds to x = 10 + 5√5.

To find the corresponding y-coordinate (N(10 + 5√5)), we can substitute the value of x into the original function N(x).

Hence, the point of diminishing returns is approximately (20.98, 21247.3).

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You bought a winter coat for S48.75. The original price was $75. What percent of the original price did you pay for the coat?

Answers

Answer:

53.85%

Step-by-step explanation:

75-48.75= 26.25

26.25/48.75x100= 53.8461538462 Round 53.85%

Check Answer:

48.75 x 53.85%=26.251875 Round 26.25

48.75 + 26.25=75

Hence, the correct answer is 53.85%.

8. describe the center and spread of the chi-square distributions. 9. what is the chi-square test statistic? is it on the formula sheet? what does it measure? 10. how many degrees of freedom does the chi-square distribution have? 11. what is the rule of thumb for all expected counts in a chi-square goodness of fit test?

Answers

8. Spread = SD = sqrt(2*df)

9. The difference between the observed and expected frequencies of the outcomes of a set of events or variables.

10. Degrees of 1 freedom does the chi-square distribution.

11.  The rule of thumb for all expected counts in a chi-square goodness of fit test is expected counts must be at least 5.

8. Describe the center and spread of the chi-square distributions.

Shape - skewed right because can't be zero

µ = df = tipping point

mode = df - 2 = peak

spread = SD = sqrt(2*df)

9. Chi-square test is a non-parametric test (a non-parametric statistical test is a test whose model does not specify conditions about the parameter of the population from which the sample is drawn.). It is used for identifying the relationship between a categorical variable and denoted by χ2.

10. A chi-squared distribution constructed by squaring a single standard normal distribution is said to have 1 degree of freedom. Thus, as the sample size for a hypothesis test increases, the distribution of the test statistic approaches a normal distribution.

11. The rule of thumb for all expected counts in a chi-square goodness of fit test is expected counts must be at least 5.

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A circle's circumference is approximately 44 cm. Complete each statement using one of these values: 7, 11, 14, 22, 88, 138, 154, 196, 380, 616.

Answers

Answer:

See solutions below

Step-by-step explanation:

Complete question

A circle's circumference is approximately 44 cm.

Complete each statement using one of these values: 7, 11, 14, 22, 88, 138, 154, 196, 380, 616.

The circle's diameter is approximately cm.

The circle's radius is approximately cm.

The circle's area is approximately cm2.

Circumference of the circle =2πr

r is the radius of the circle

Circumference of the circle = 2(3.14)r

44 = 2(3.14)r

22 = 3.14r

r = 22/3.14

r = 7.0cm

The circle's radius is approximately 7cm.

Since diameter = 2r

diameter = 2 * 76

diameter = 14cm

The circle's diameter is approximately 14cm.

Area of the circle = πr²

Area of the circle = 3.14(7)²

Area of the circle = 3.14(49)

Area of the circle = 153.86sq.cm

The circle's area is approximately 154cm^2.

Help plssssssssssssssss question 13!!!!

Help plssssssssssssssss question 13!!!!

Answers

It is 6
9-8=1+11=12-6=6

Answer:

13) 60

Step-by-step explanation:

13)

7*9 - 8 + 11 - 6               (Multiply 1st)

63 - 8 + 11 - 6                (Solve from left to right since it's addition/subtraction)

60

A country's population in 1990 was 154 million.

In 2001 it was 159 million. Estimate

the population in 2005 using the exponential

growth formula. Round your answer to the

nearest million.

P= Aekt

Answers

Using the exponential growth formula, the population in 2005 was 161 million.

The equation f(x) = a(1 + r)^x can also be used to compute exponential growth, where: The function is represented by the word f(x). The initial value of your data is represented by the a variable. The growth rate is represented by the r variable. To calculate growth rates, divide the difference between the starting and ending values for the period under study by the starting value.

Growth factor = (159/154) for the eleven-year period between 1990 and 2001.

The population growth might thus be described by the exponential equation

p(t) = 154(159/154)^(t/11), where t is the number of years since 1990.

The model forecasts a population of... p(15) = 154(159/154)^(15/11)

= 160.86 = 161 million

In 2005, there were about 161 million people living there.

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Correct Question:

A country's population in 1990 was 154 million. In 2001 it was 159 million. Estimate the population in 2005 using the exponential growth formula. Round your answer to the nearest million.

Question 2 20 pts A p-value for correlation which is statistically significant implies the correlation is due to random chance. True O False Question 5 20 pts For each one unit increase in X we expect Y to increase by b1 units, on average. Interpretation of the intercept Interpretation of a residual Interpretation of r-squared Interpretation of the slope

Answers

A p-value for correlation which is statistically significant implies the correlation is due to random chance. The correct solution to this is False.

A p-value for correlation which is statistically significant implies that it is unlikely that the observed correlation is due to random chance alone. In other words, it suggests that there is evidence to support the presence of a true correlation between the two variables being studied. The p-value is a measure of the strength of evidence against the null hypothesis (i.e., that there is no correlation between the two variables), and a smaller p-value indicates stronger evidence against the null hypothesis.

Interpretation of the intercept: The intercept in a linear regression model represents the value of the dependent variable when all independent variables are equal to zero. It is the value of the dependent variable when there is no effect of the independent variable(s) on it. For example, in a regression model predicting height based on age, the intercept would represent the expected height of a person at age zero (which is not a realistic scenario).

Interpretation of a residual: A residual is the difference between the actual observed value of the dependent variable and the predicted value of the dependent variable based on the regression model. It represents the part of the dependent variable that the model was not able to explain. A positive residual means that the actual value is greater than the predicted value, while a negative residual means that the actual value is smaller than the predicted value.

Interpretation of r-squared: R-squared is a measure of how much of the variation in the dependent variable is explained by the independent variable(s) in the regression model. It ranges from 0 to 1, with higher values indicating a better fit of the model to the data. Specifically, it represents the proportion of the total variation in the dependent variable that is explained by the independent variable(s) in the model. For example, if r-squared is 0.75, it means that 75% of the variability in the dependent variable is explained by the independent variable(s) in the model.

Interpretation of the slope: The slope in a linear regression model represents the change in the dependent variable that is associated with a one-unit increase in the independent variable, holding all other variables constant. It reflects the average change in the dependent variable for each unit change in the independent variable. For example, in a regression model predicting height based on age, the slope would represent the average change in height for each additional year of age.

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12 - (-19) =
A) -31
B) -7
C) 7
D) 31

Answers

The answer is:

D) 31                    

Hope this helped!      

Solve for y: 3x - 4y = 12

Answers

Answer:

y = 3/4x -3

Step-by-step explanation:

3x - 4y = 12

Subtract 3x from each side

3x - 4y -3x =-3x+ 12

-4y = -3x+12

Divide by -4

-4y/-4 = -3x/-4 +12/-4

y = 3/4x -3

Answer

The value of y is 3/4x-3.

Explanation

Rearrange the equation to get y on one side of the equation.

3x-4y=12

-4y=12-3x

y=-3+3/4x

y=3/4x-3

The cash price of a refrigerator is Rs 34 500. The hire purchase price is a deposit of Rs 6500 and 10 % simple interest on the outstanding balance, to be paid in 24 monthly installments. Calculate the amount of each monthly instalment

Answers

Answer:

  ₹1400

Step-by-step explanation:

You want to know the monthly installment when a refrigerator costing ₹34500 is paid for with ₹6500 down and 24 payments that include 10% simple interest.

Balance to be paid

The amount remaining after the ₹6500 down payment is ...

  ₹34500 -6500 = ₹28000

The amount to be repaid in installments will be this amount with 2 years' finance charge:

  ₹28000 × (1 +rt) = ₹28000 × (1 +0.10·2) = ₹28000×1.20

  = ₹33600

Installments

When that is divided into 24 equal payments, each monthly installment is ...

  ₹33600/24 = ₹1400

Each monthly installment is ₹1400.

please help i’ll give brainliest!!! thanks

please help ill give brainliest!!! thanks

Answers

Believe is the silk road

Answer:

A the silk road.

Step-by-step explanation:

The transmission of Buddhism to China via the Silk Road started in the 1st century CE with a semi-legendary account of an embassy sent to the West by the Chinese Emperor Ming (58–75 CE). The first missionaries and translators of Buddhists scriptures into Chinese were either Parthian, Kushan, Sogdian or Kuchean.

Find the area of the sas triangle with side lengths 29 and 36 and included angle 62 degrees.

Answers

The area of triangle is 460.89 unit square.

Given:

lengths of rod, a = 29 and b = 36 ,

angle between them (θ) = 62

We know that in a general triangle of side a,b,c and angles A,B,C ,

we can write area of triangle (Δ) is

 Δ = absinθ/2

Δ =  29*36sin62/2

Δ = 460.89 unit square.

hence, the area of triangle is 460.89 unit square.

#123

The area of the SAS triangle is 460.89 cm³.

Given data;

Side length (a) = 29

Side length (b) = 36

With an angle of Ф = 62°

Here, it is stated that the triangle is a SAS triangle which is known as the Side Angle Side triangle.

Now, to calculate the area of a given triangle, we use the formula as;

Area = a*b*sinФ/2

From the above formula;

Area of the SAS triangle = a*b*sinФ/2

                                         = [29*36*sin(62°)]/2

                                         = 460.89 cm³

Hence, the area of the SAS triangle is 460.89 cm³.

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The price of an article is increased from Rs 75 to Rs 78. Find the percentage increase in the price of the article.

Answers

( 78 -75 / 75 ) × 100 =

(3/75 )× 100 =

( 3 / 3 × 25 ) × 100 =

(1/25) × 100 =

100/25 =

% 4

If overhead is applied to individual jobs at a rate of 50% of direct labor costs incurred per job, and $50,000 in direct materials were used and $25,000 of direct labor was required, what was the total cost of the job?

a) $25,000
b) $50,000
c) $12,500
d) $87,500

Answers

The total cost of the Job in the question is; D: $87,500

How to find the total Cost?

We are given that;

Direct Labor = $25000

Cost of direct materials used = $50000

Overhead is 50% of direct labor costs. Thus;

Overhead Cost = 50% * $25000 = $12500

Total Cost of Job = Overhead Cost + Materials Cost + Labor Cost

Total Cost of Job = $87,500

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suppose that the probability of raining in seattle is 0.1 in any given day. you are going to seattle for an interview and need to decide whether to bring an umbrella. you have 3 friends in seattle and ask them. each one will tell you the truth with probability 2/3 and lie with probability 1/3. if they all say that it is raining, what is the probability that it is actually raining?

Answers

The probability of given data is that it is actually going to rain in Seattle with value of  0.4706 approximately.

Firstly, denote the variables to the events: R: It is actually raining in Seattle. U: Your umbrella is with you. F1: Your first friend says it is raining. F2: Your second friend says it is raining. F3: Your third friend says it is raining.

We want to find the probability of R given that F1, F2, and F3 all say it is raining. Using Bayes' theorem, we have:

P(R | F1F2F3) = P(F1F2F3 | R) * P(R) / P(F1F2F3)

The denominator, P(F1F2F3), can be calculated using the law of total probability as follows:

P(F1F2F3) = P(F1F2F3 | R) * P(R) + P(F1F2F3 | R') * P(R')

where R' represents the event that it is not raining in Seattle. Since the probability of raining in Seattle is 0.1,

we have P(R) = 0.1 and P(R') = 0.9.

To calculate the probabilities of the events involving your friends' responses, we can use the following table:

Event Probability

F1         2/3 if R, 1/3 if R'

F2         2/3 if R, 1/3 if R'

F3         2/3 if R, 1/3 if R'

If it is raining, each friend will tell you the truth with probability 2/3, and if it is not raining, they will lie with probability 2/3. Therefore, we have:

P(F1F2F3 | R) = (2/3)^3 = 8/27

P(F1F2F3 | R') = (1/3)^3 = 1/27

Substituting these values into the equation, we get:

P(R | F1F2F3) = (8/27 * 0.1) / [(8/27 * 0.1) + (1/27 * 0.9)]

= 8/17

≈ 0.4706

Therefore, given that all three of your friends say it is raining, the probability that it is actually raining in Seattle is approximately 0.4706 or 47.06%. This means it is better to bring an umbrella to be safe.

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Addison was given a gift card for a coffee shop. Each morning, Addison uses the card to buy one cup of coffee. Each cup of coffee costs $3 and after buying 4 cups of coffee, the card had a $3 remaining balance. Write an equation for A,A, in terms of x,x, representing the amount money remaining on the card after buying xx cups of coffee.

Answers

Answer:

A=−3x+15

Step-by-step explanation:

on a graph, the y intercept is 15, which is how much Addison had initially. Every day, she takes out $3 from that, so makes the slope on a graph -3.

And so, A=-3x+15! boom ✨

The required equation can be written as A = 15 - 3 × x.

It is given that cost of one cup of coffee is $3 and after buying 4 cup of coffees the card had a remaining balance of $3.

We have to write an equation for A in terms of x where A is the amount of money remaining on the card.

What do you mean by algebraic expressions ?

The algebraic expressions are those which are made up of variables, constants and algebraic operations i.e., addition, subtraction, etc.

As per the question ;

Cost of 1 cup of coffee = $3

The total cost of 4 cups of coffee will be ;

= 3 × 4

= $ 12

The balance left in card = $3

So ;

Total balance in card was ;

= $3 + $12

= $15

and

The equation can be written as ;

A = 15 - 3 × x

Thus , the required equation can be written as A = 15 - 3 × x.

To learn more about algebraic expressions click here ;

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A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $800 and the daily rate for each partner is $1500. How much would the law firm charge the client daily if 9 associates and 4 partners were assigned to the case? How much would the law firm charge the client daily if aa associates and pp partners were assigned to the case?

Answers

Answer:

$8700

Step-by-step explanation:

Associates cost $800 each, you have 9 associates, so multiply 800 by 9 which gives you: $800x 9= $7200.

Partners cost $1500 each, you have 4 partners, so multiply 1500 by 4 which gives you: $1500x 4=$6000.

Then add the two together like this: $7200+$1500= $8700.

Answer:8000

Associates cost $800 each, you have 9 associates, so multiply 800 by 9 which gives you: $800x 9= $7200.

Partners cost $1500 each, you have 4 partners, so multiply 1500 by 4 which gives you: $1500x 4=$6000.

Then add the two together like this: $7200+$1500= $8700.

Identify the highlighted part of circle O shown below

Central angle
Secant
Inscribed angle
Chord

Identify the highlighted part of circle O shown below Central angle Secant Inscribed angle Chord

Answers

Answer:

Chord

Step-by-step explanation:

Notice that the highlighted part is the line segment that joins the points J and E on the circle, which is known as a chord.

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