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The line AB has midpoint (2,5).
A has coordinates (1, 2).
Find the coordinates of B.
The line AB has midpoint (2,5). A has coordinates (1, - 1

Answers

Answer 1
Answer:

Answer:

X_m = (A_x +B_x)/(2)= (1+B_x)/(2)= 2

And we can solve for B_x and we got:

1+B_x = 4

B_x = 3

Y_m = (A_y +B_y)/(2)= (2+B_y)/(2)= 5

And we can solve for B_x and we got:

2+B_y = 10

B_y = 8

So then the coordinates for B are (3,8)

Step-by-step explanation:

For this case we know that the midpoint for the segment AB is (2,5)

And we know that the coordinates of A are (1,2)

We know that for a given segment the formulas in order to find the midpoint are given by:

X_m = (A_x +B_x)/(2)= (1+B_x)/(2)= 2

And we can solve for B_x and we got:

1+B_x = 4

B_x = 3

Y_m = (A_y +B_y)/(2)= (2+B_y)/(2)= 5

And we can solve for B_x and we got:

2+B_y = 10

B_y = 8

So then the coordinates for B are (3,8)
Answer 2
Answer:

Final answer:

The coordinates of point B are (4, 8).

Explanation:

To find the coordinates of point B, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint M(xm, ym) of a line segment with endpoints A(x1, y1) and B(x2, y2) are given by:

xm = (x1 + x2) / 2

ym = (y1 + y2) / 2

In this case, we are given that the midpoint M is (2, 5) and A is (1, 2). We can substitute these values into the formula:

2 = (1 + x2) / 2

5 = (2 + y2) / 2

Now, we can solve for x2 and y2:

x2 = 4

y2 = 8

Therefore, the coordinates of point B are (4, 8).

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A sample of 31 boxes of cereal has a sample standard deviation of 0.81 ounces. Construct a 93% confidence interval to estimate the true standard deviation of the fllins process for the boxes of cereal. a (0433, 1.120) b)(0.658,1.058) c (0.525, 1095) d (0.731,0.731) e) None of the above.

Answers

Final answer:

Using the chi-square distribution and given data, a 93% confidence interval for the standard deviation is found to be (0.525, 1.095). Therefore, the correct answer is option (c).

Explanation:

To construct a confidence interval to estimate the true standard deviation of the filling process for the boxes of cereal, we will use the chi-square distribution as it is used when dealing with standard deviation and variance.

The formula for the confidence interval in this case is: (sqrt((n-1)*s^2/chi2(upper)), sqrt((n-1)*s^2/chi2(lower))), where n is the sample size, s is the sample standard deviation and chi2 is the chi-square value for the corresponding degrees of freedom and confidence level.

In this case, we have n=31, s=0.81. The degrees of freedom are one less than the sample size, so df = 31 - 1 = 30. For a 93% confidence level, the chi-square values are X2(0.035, 30) = 21.92 and X2(0.965, 30) = 41.34.

Substituting these values into the formula, we get: (sqrt((31-1)*(0.81)^2/41.34), sqrt((31-1)*(0.81)^2/21.92)) = (0.525, 1.095). Hence, the correct answer is (c) (0.525, 1.095).

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Final answer:

The 93% confidence interval for the standard deviation of the filling process for the boxes of cereal is (0.658,1.058), which is choice (b). The solution is determined using chi-square distribution and the formula for constructing a confidence interval specifically for standard deviations.

Explanation:

To answer this question, we will use chi-square distribution which is commonly used to construct a confidence interval for standard deviations.

The formula for a confidence interval in this case is ( √((n-1)s² / χ²_(1 - α/2)), √((n-1)s² / χ²_(α/2)) ). Here, n is the sample size, s is the sample standard deviation, α is the significance level (1 - confidence level). χ² represents chi-square values, where α/2 and 1 - α/2 are the confidence levels for a two-tailed test.

Using the chi-square table, for n - 1 = 30 degrees of freedom, we find the chi-square value for (1 - α/2)=0.935 is 17.708 and the chi-square value for α/2=0.065 is 46.194. Substituting n = 31, s = 0.81 into the formula, we get the 93% confidence interval for the standard deviation of the filling process for the boxes of cereal as ( √((30*0.81²) / 46.194), √((30*0.81²) / 17.708) ) = (0.658, 1.058).

So, the correct answer is (b) (0.658,1.058).

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Simplify the expression below.(43+1)^3
A. 1223 + 1
B. 6432 + 1
C. 6413 + 48y2 + 16y + 3
D. 6413 + 4812 + 12y + 1

Answers

I believe the answer is C

Simplify. square root (108 x^5 y^6)

Answers

\bf √(108x^5y^6)\qquad \begin{cases}108=2\cdot 2\cdot 3\cdot 3\cdot 3\n\qquad 2^2\cdot 3^2\cdot 3\n\qquad (2\cdot 3)^2\cdot 3\n\qquad 6^2\cdot 3\nx^5=x^(4+1)\n\qquad x^4\cdot x^1\n\qquad x^(2\cdot 2)\cdot x\n\qquad (x^2)^2\cdot x\ny^6=y^(3\cdot 2)\n\qquad (y^3)^2\end{cases}\implies √(6^2\cdot 3\cdot (x^2)^2\cdot x\cdot (y^3)^2)\n\n\n6x^2y^3√(3x)

Your dinner in London cost 82 British pounds. How muchwas it in U.S. dollars?


Some one please help me ASAP!!!

Answers

In U.S. dollars, the equivalent money will be $100.74

What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?

  • A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.
  • A mathematical equation is used to equate two expressions.
  • Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
  • For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.

Given is your dinner in London cost 82 British pounds

Then in U.S. dollars, the equivalent money will be equivalent to -

x = 82 pounds = 82 x 1.2286 = $100.74

x = $100.74

Therefore, in U.S. dollars, the equivalent money will be $100.74

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the answer is $108.32

What is the solution to x^3 +4x^2 > x + 4

Answers

The solution consists of all of the true intervals is −4 < x < −1   x > 1.

−4<x<−1  or  x>1

Inequality Form: −4<x<−1  or  x>1

Interval Notation: (−4,−1)  ∪  (1,∞)

x^3 + 4x^2 > x + 4

Subtract x from both sides of the inequality.

x^3 + 4x^2 − x > 4

Convert the inequality to an equation.

x^3 + 4x^2 − x = 4

Move 4 to the left side of the equation by subtracting it from both sides.

x^3 + 4x^2>x+4

2 − x − 4 = 0

Factor the left side of the equation

(x + 4)(x + 1)(x − 1) = 0

If any individual factor on the left side of the equation is equal to, the entire expression will be equal to 0

x + 4 = 0

x + 1 = 0

x − 1 = 0

Set x + 4 equal to 0 and solve for x

x = −4

Set x + 1 equal to 0 and solve for x

What is inequality?

Inequality is the difference in social status, wealth, or opportunity between people or groups. People are concerned about social inequality.

x = −1

Set x + -1 equal to 0 and solve for x

x = 1

The final solution is all the values that make (x + 4)(x + 1)(x − 1) = 0  true

x = −4, −1, 1

Use each root to create test intervals.

x < −4

−4 < x < −1

−1 < x < 1

x > 1

Choose a test value from each interval and plug this value into the original inequality to determine which intervals satisfy the

inequality.

x < −4  ←False

−4 < x < −1  ←True

−1 < x < 1  ←False

x > 1  ←True

The solution consists of all of the true intervals.

−4 < x < −1 x > 1

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You originally draw a design for an art contest on a 4 in. x 5 in. card. The second phase of the contest requires the drawing to be transferred to an 8.5 in x 11 in. standard sheet of paper and utilize as much of the space on the paper as possible. You determine that the largest size one of the dimensions of your drawing can be is 10.5 in. What is the length of the other dimension if the two drawings are similar? Type your exact answer in the blank without the units, and round to the nearest tenths.

Answers

By using ratio and proportion the problem can be solve. First assume that 10.5 in is the length of the new drawing, and let w be the width 4 / 5 = w / 10.5 W = 10.5 ( 4 / 5) W = 8.4 in So the new dimensions are 8.4 in x 10.5 in 

Answer:

8.4

Step-by-step explanation:
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