A point P = (7,1) divides segment AB in
a ratio of 2 : 1 from end-point A = (5,3).
What are the coordinates of point B?

step by step math problem.

The estimated probability that she makes a third successful shot is 0.75, or 75%.

A. Given the prior distribution of the success probability, o, as Uniform [0,1], which can be viewed as a Beta distribution with parameters α=1 and β=1 (Beta[1,1]). Since she made two successful shots in a row and the outcomes are independent, we can update our belief about her success probability using the Bayes' theorem. For a Beta distribution, the update rule is quite simple:

Posterior distribution = Beta(α + number of successes, β + number of failures)

In this case, she made two successful shots, so the number of successes is 2, and the number of failures is 0. Thus, the posterior distribution of θ is:

Posterior distribution = Beta(α + 2, β) = Beta(3,1)

B. To estimate the probability that she makes a third successful shot, we can use the expected value of the posterior distribution, which for a Beta distribution is given by:

Expected value = α / (α + β)

In our case, α = 3 and β = 1, so the expected value is:

Expected value = 3 / (3 + 1) = 3/4

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Using your own examples, explain why all statements are sentences but not all sentences are statements. Clearly indicate which type of non-statement you have used in each case. (Your response should be between 500 and 600 words).

Answer:

0.285714 -> 0.29

Step-by-step explanation:

Answer:

Where’s the problem

Step-by-step explanation:

To form a triangle, the set of line segments must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, we need to check if the given line segments 8 cm, 4 cm, and 3 cm meet this requirement.

We can start by checking if the sum of the two smaller sides (3 cm and 4 cm) is greater than the largest side (8 cm). 3 cm + 4 cm = 7 cm, which is less than 8 cm. Therefore, these three line segments cannot form a triangle.

In general, for a set of line segments to form a triangle, the largest side must be smaller than the sum of the other two sides. In this case, the line segment of 8 cm is too long compared to the other two sides, which makes it impossible to form a triangle.

In conclusion, there are no line segments that meet the requirements to form a triangle with lengths of 8 cm, 4 cm, and 3 cm.

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Answer: 1/4 students

Step-by-step explanation:

Answer: 6

Step-by-step explanation: The answer is 6.

negative - negative = positive

Answer:

ten

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

x=-12        x =2

Step-by-step explanation:

-x^2-10x+24=0

Divide by -1

x^2 +10x -24 = 0

Factor

What 2 terms multiply to -24 and add to 10

12 * -2 = -24

12 -2 = 10

(x+12) ( x-2) = 0

Using the zero product property

x+12 =0    x-2 =0

x=-12        x =2

Answer:

−6.5w−0.8

Step-by-step explanation:

4.2+−5+−6.5w

Combine Like Terms:

=4.2+−5+−6.5w

=(−6.5w)+(4.2+−5)

=−6.5w+−0.8

Brainless please

Answer:

137°

Step-by-step explanation:

Basically, its the reverse of question 1.

With angle x, you can find out that the opposite angle is 360 - 106 = 254°

the angle is twice the size of angle y as said in the corcle theorems.

254 divided by 2 = 137°

(please correct me if im wrong, i feel like im missing something)

The lines which are parallel are none.

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

where (x₁, y₁) and (x₂, y₂) are the two points that you are trying to find the slope between.

Given;

Coordinates of three lines

a;(1,5) and (-2,-4)

b;(3,2) and (1,-4)

c;(6,1) and (-4,2)

Now, slopes of the lines

a= -4-5/-2-1

=10/3

b=-4-2/1-3

=-3

c=2-1/-4-6

=1/-10

Therefore, by slopes of the line none of them are parallel.

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Answer:

x greater-than-or-equal-to negative 4

Answer:

X is equal to or greater than four

Step-by-step explanation:

I got it right!!! hopefully you do too

Answer:

Answer:

44

Step-by-step explanation:

Answer:

-104

Step-by-step explanation:

1) Substitute 50 into n.

-2(50) - 4

-100 - 4

-104

The interpretation would be: "Based on the given sample data, we are 95% confident that the true proportion of defectives in the circuits lies between the lower bound and the upper bound of the confidence interval."

To test the hypothesis H0: p = 0.05 versus H1: p ≠ 0.05, where p represents the proportion of defectives in the circuits, we can use the binomial distribution and perform a two-tailed test. Here's how you can calculate the P-value and answer part (a):

(a) Calculating the P-value:

Define the null hypothesis (H0): p = 0.05.

Calculate the sample proportion of defectives: P = x/n, where x is the number of defectives (13) and n is the sample size (300). In this case, P = 13/300 = 0.0433.

Calculate the test statistic (z-score) using the formula:

z = (P - p0) / sqrt[(p0 * (1 - p0)) / n]

where p0 is the hypothesized proportion under the null hypothesis. In this case, p0 = 0.05 and n = 300.

z = (0.0433 - 0.05) / sqrt[(0.05 * (1 - 0.05)) / 300] ≈ -0.6147

Determine the P-value by comparing the absolute value of the test statistic to the standard normal distribution (z-distribution) at the desired significance level (α = 0.05).

Since this is a two-tailed test, we need to find the area in both tails.

P-value = 2 * P(Z < -0.6147), where Z is the standard normal random variable.

Using a statistical table or calculator, you can find the P-value to be approximately 0.5397.

Therefore, the P-value for the test is approximately 0.5397.

(b) Using a confidence interval:

Alternatively, you can answer the question using a confidence interval. A confidence interval provides a range of plausible values for the true proportion of defectives.

To construct a confidence interval for the proportion, you can use the following formula:

CI = P ± z * sqrt((P * (1 - P / n),

where CI represents the confidence interval, P is the sample proportion of defectives, z is the critical value corresponding to the desired level of confidence, and n is the sample size.

For example, to construct a 95% confidence interval (α = 0.05), the critical value z is approximately 1.96.

CI = 0.0433 ± 1.96 * sqrt((0.0433 * (1 - 0.0433)) / 300)

By calculating this, you can find the lower and upper bounds of the confidence interval.

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It will take 2 hours for Molly and her little brother to mow the lawn while working together.

Molly can mow a lawn in 3 hours and her little brother can mow the lawn in 6 hours.

The task is to calculate how long it will take to mow the lawn while working together.

When two people work together, their work rates add up, so the total work rate is given by the sum of their individual work rates.

Let M represent the work rate of Molly and B represent the work rate of her little brother.

Then: M = 1/3 (Molly can mow a lawn in 3 hours)B = 1/6 (Little brother can mow a lawn in 6 hours)

When working together, their combined work rate is the sum of their individual work rates.

Hence, their combined work rate is given by: M + B = 1/3 + 1/6 (Adding the work rates of both)

M + B = 1/2 (Adding both fractions, the LCD of the two fractions is 6)

So, the combined work rate of Molly and her brother is 1/2.

This means that they can complete one lawn in 2 hours.

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The major benefit of enterprise application integration (EAI) is that it allows different applications and systems within an organization to seamlessly communicate and share data.

This integration eliminates data silos and enables real-time data exchange, leading to improved efficiency, productivity, and decision-making within the organization.

By implementing EAI, businesses can achieve the following benefits:

1. Enhanced Data Accuracy and Consistency: EAI ensures that data is synchronized and consistent across different systems, eliminating the need for manual data entry and reducing the risk of errors or discrepancies.

2. Increased Efficiency and Productivity: EAI automates the flow of information between applications, reducing the need for manual intervention and streamlining business processes.

This leads to improved efficiency and productivity as employees spend less time on repetitive tasks.

3. Improved Decision-Making: EAI provides a unified view of data from various systems, enabling better analysis and decision-making. Decision-makers have access to real-time and accurate information, allowing them to make informed and timely decisions.

4. Cost Savings: By integrating existing applications instead of developing new ones from scratch, EAI can help businesses save costs. It reduces the need for duplicate systems, minimizes data duplication, and optimizes IT infrastructure.

5. Scalability and Flexibility: EAI allows organizations to easily integrate new applications or systems as their needs evolve. It provides a flexible framework that can accommodate future growth and changes in business requirements.

Overall, the major benefit of enterprise application integration is the ability to achieve seamless connectivity and data exchange between systems, leading to improved efficiency, productivity, and decision-making in an organization.

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Answer:

D. 54√2

Step-by-step explanation:

given

3√3 * 6 √6

= 3 √3 * 6 * √3 * √2

= 3* 3*6 √2

= 54√2

Answer:

feed me brainly points

Step-by-step explanation:

brainliest?

Answer:

The choice C) y = - 3x + 13

Step-by-step explanation:

\(6x + 2y = 26 \\ 2y = 26 - 6x \\ \\ y = \frac{26 - 6x}{2} \\ \\ \\ y = \frac{26}{2} - \frac{6x}{2} \\ \\ \\ y = 13 - 3x\)

y = - 3x + 13

I hope I helped you^_^

Answer:

C

Step-by-step explanation:

6x + 2y = 26 ( subtract 6x from both sides )

2y = - 6x + 26 ( divide terms by 2 )

y = - 3x + 13 → C

Answer:

The range of widths is {1.23,1.31} so none will be rejected, answer A.

Answer:

$1,489.88 (nearest cent)

Step-by-step explanation:

To calculate gross pay, multiply the number of hours worked by the pay per hour.

Warren worked 36.5 hours one week and 32 hours the week before.

Therefore, the total number of hours Warren worked was:

Multiply the total number of hours worked by Warren's rate of pay of $21.75 per hour:

Therefore, Warren's gross pay for the two weeks was $1,489.88 (nearest cent).

Answer:

$1489.875

Step-by-step explanation:

Warren's gross pay for 36.5 hours last week can be calculated as follows:

Gross pay for 36.5 hours = $21.75/hour * 36.5 hours = $793.875

Similarly, Warren's gross pay for 32 hours the week before can be calculated as follows:

Gross pay for 32 hours = $21.75/hour * 32 hours = $696

Adding the gross pay for the two weeks, we get:

Gross pay for 2 weeks = $793.875 + $696 = $1489.875

Answer:- 1/6

Step-by-step explanation:

Step-by-step explanation:

\(49 - 28 = 21 \\ 51 - 32 = 19 \\ 23 \times 7 = 161 \\ 14 \times 5 = 70\)

Answer:

D). The plane needs to be about 27 meters higher to clear the tower.

Step-by-step explanation:

Given that,

Height of the tower = 98 m

Distance traveled by plane = 83 m

The distance of the take-off point from the tower = 42m

This shows that it forms a right-angled triangle with

Base(B) = 42m

Hypotenuse(H) = 83m

To find,

The height of this triangle(x) = ?

Using Pythagoras theorem, we know that,

B^2 + x^2 = H^2

⇒ x^2 = H^2 - B^2

⇒ x^2 = (83)^2 - (42)^2

⇒ x^2 = 6889 - 1764

⇒ x = \(\sqrt{6889 - 1764}\)

∵ x = 71.58 m

Thus, the height difference from the position of the plane to the tower = 98 - 71.58

= 26.42 m

Thus, option D i.e. 'the plane's height must be 27m above the tower' is the correct answer.

Answer:

tyuklgfdzrxtiyku,j mncihknbjhtu

Step-by-step explanation: