Angle A is circumscribed about circle O. What is the measure of A.

The probability is solved to be P(B|A) ≈ 0.082.

To find P(B|A), which is the probability of event B occurring given that event A has already occurred, we can use Bayes' theorem:

P(B|A) = P(A and B) / P(A)

given that:

P(A) = 0.61

P(B) = 0.34

P(A and B) = 0.05

Using the formula for Bayes' theorem:

P(B|A) = P(A and B) / P(A)

P(B|A) = 0.05 / 0.61 ≈ 0.082

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The volume of the described solid is V = 16r³/3

Given,

A solid line S should be drawn between z=a and z=b. If S has a cross-sectional area of Px through x and is perpendicular to the x-axis, then A (x)

Volume of S = limₙ→∝ ∑i=₁ⁿ A(xi) Δx = \(\int\limits^b_a {A(x)} \, dx\)

The equation of circle x² + y² = r² where r is the radius of the circle.

Equation of upper semicircle yu= √(r²-x²)  and

Equation of lower semicircle yl = -√(r²-x²)

Area of cross-section A(x) = (yu² - yl²)

Substitute yu and yl values

A(x) = [√(r²-x²) - (-√(r²-x²) )]² = 4(r² -x²)        (1)

The limit for volume v varies from -r to r

Thus Volume v = ₋\(\int\limits^r_r {A(x)} \, dx\)

Substitute A(x) from (1)

V = ₋\(\int\limits^r_r {4(r^{2}-x^{2} ) } \, dx\)

⇒V = 4[r²x - x³/3 ]

⇒V = 4(r³ - r³/3) - 4(-r³ + r³/3) = 4[2 (r³ - r³/3)] = 16r³/3

The volume of the described solid S where the base is a circular disk or radius r and parallel cross sections perpendicular to the base are squares is V = 16r³/3

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9514 1404 393

Answer:

  x = 3

Step-by-step explanation:

It is convenient to remember the ratios of side lengths of these "special triangles."

The side ratios of ΔABC are 1 : 1 : √2, so BC = AC/√2 = 6.

The side ratios of ΔBCD are 1 : √3 : 2, so BD = BC/2 = 6/2 = 3.

The value of x is 3.

Answer:

width = w = 18cm

length = 2w+1 =2(18)+1 =36+1 =37cm

Step-by-step explanation:

width = w

length = 2w+1

perimeter = 2(length +width)

110 =2(2w+1+w)

110 = 2(3w+1)

110 = 6w+2

108 =6w

18 = w

width = w = 18cm

length = 2w+1 =2(18)+1 =36+1 =37cm

Answer: False

=============================================================

Explanation:

The radical is one step away from being fully isolated. We would apply the rule that \(\frac{\sqrt{A}}{\sqrt{B}} = \sqrt{\frac{A}{B}}\)

In this case,

\(\frac{\sqrt{x+3}}{\sqrt{x-1}} = \sqrt{\frac{x+3}{x-1}}\)

Meaning that the equation

\(\frac{\sqrt{x+3}}{\sqrt{x-1}} =3\)

is the same as

\(\sqrt{\frac{x+3}{x-1}} = 3\)

From here, we square both sides and use algebra to isolate x.

Answer:

A. x + 10 = 160

Step-by-step explanation:

This is the correct choice since, we already know the height of Amanda and it gives us the difference between her sister and her height. We can formulate an expression.

x + 10 = 160

Solve.

160 - 10 = 150

x = 150

Thus, Carla is 150 centimeters tall.

Answer:

2:1, 4:2, 6:3, 8:4, 10:5, etc.

Step-by-step explanation:

Answer:

12 : 6 24 : 12 36 : 18 48 : 24 60 : 30

2:1 (just to name a few, Let me know if one the answer)

Step-by-step explanation:

multiply both by a number, kinda like a fraction.

The Amy has 42 books, Betty has 36 books, and Carol has 18 books.

Let's set up equations to represent the given information:

Let A represent the number of books Amy has.

Let B represent the number of books Betty has.

Let C represent the number of books Carol has.

Let's say Amy has x books.

Betty has 6 books less than Amy, so Betty has (x - 6) books.

Carol has half as many books as Betty, so Carol has (x - 6)/2 books.

According to the problem, the total number of books they have is 96.

So, we can write the equation:

x + (x - 6) + (x - 6)/2 = 96

To solve the equation, we can simplify it by multiplying through by 2 to remove the fraction:

2x + 2(x - 6) + (x - 6) = 192

2x + 2x - 12 + x - 6 = 192

5x - 18 = 192

5x = 210

x = 42

Amy has 42 books.

Betty has (42 - 6) = 36 books.

Carol has (36)/2 = 18 books.

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Answer:

28

Step-by-step explanation:

Answer:

x= 27

Step-by-step explanation:

Answer:

210

Step-by-step explanation:

35x3x2=210

Answer:

Step-by-step explanation:

The given ratio is 3/8 pound per week. So, after 4 weeks, you gain

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

So the "back" of the arrow is on/above -20.

The arrow points to -12.

You added something to -20 to get to -12.

So the first number is -20. You added ? to get -12. -12 is the last number / the answer to the equation.

So the equation from what you have so far is -20 + ? = -12

You need to isolate the ? so that you know what it is.

So to get rid of the -20 (make it 0), you have to add 20. -20 plus 20 equals 0, which basically means it is gone. You also have to add 20 to -12. 20 plus -12 equals 8.

Now the equation is ? = 8.

So you know that the second number is 8.

The equation makes sense; -20 + 8 = -12.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

To know if (3,5) is a solution to the system, we have to evaluate each equation when x = 3 and y = 5, if these numbers satisfy each equation, then the pair is a solution to the system.

EVALUATING THE FIRST EQUATION.

Note that this result is false because 1 and -10 are not equal, which means the given pair doesn't satisfy the equation nor the system.

Answer:

-4, 3 1/2 JFURE8EGNRODG RE NEJEUSUEHEUE I did this for 20 characters

Answer:

It will take him 7 ½ days.

Step-by-step explanation:

He goes up 2 ½ but falls back down ½ so you take the two and do 15/2 and get 7.5 which is 7 ½ days.

Answer:

I AM NOT IN THIS GRADE

Step-by-step explanation:

THANK YOU FOR THE FREE POINTS

9514 1404 393

Answer:

  x = 12

Step-by-step explanation:

We can find x using either the measure of angle B, or the measure of angle A.

Using A, we have ...

  48 = x^2 -8x

Adding 16 completes the square:

  64 = x^2 -8x +16 = (x -4)^2

Then the positive solution is ...

  √64 = x -4

  x = 4 +8 = 12

The triangles are similar when x=12.

__

Check

We expect angle B to be 84° when x=12:

  (x^2 -5x) = x(x -5) = 12(7) = 84 . . . . as needed

Answer:

5 = $ 5.25.    10= $ 6.50.   20= $9.00

Step-by-step explanation:

if this is wrong you can completely write me a really rude email or message or something

Answer:

∠3 = 115°

∠8 = 75°

∠6 = 105°

∠11 = 115°

∠9 = 65°

∠4 = 65°

Step-by-step explanation:

∠3 = 180 - 65 =115° because they are supplementary

∠8 = 75° because it is vertical to 75°

∠6 = 180 - 75 = 105° because they are supplementary

∠11 = 115° because it is corresponding to ∠3

∠9 = 65° because it is corresponding to ∠1

∠4 = 65° because it is vertical to 65°

Applying the definition of special angle pairs, the given angles and their respective equivalent degree measures are:

Given the following:

Thus:

<3 and <1 are supplementary angles, therefore,

m<3 = 180° - 65°

m<3 = 115°

<8 and <5 are vertical angles, therefore,

m<8 = 75°

<6 and <8 are supplementary angles, therefore,

m<6 = 180° - 75°

m<6 = 105°

<11 and <3 are corresponding angles, therefore,

m<11 = 115°

<9 and <1 are corresponding angles, therefore,

m<9 = 65°

<4 and <2 are vertical angles, therefore,

m<4 = 75°

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Answer:

answer is in the picture above

The data set is approximately periodic with a period of 3 and an amplitude of about 7.5.

The period is the length of time it takes for the data to repeat itself. In this case, the data repeats itself every 3 hours. The amplitude is the distance between the highest and lowest values in the data set. In this case, the amplitude is about 7.5 cars.

Hour | Number of cars

------- | --------

1     | 90

2     | 52

3     | 76

4     | 75

5     | 91

6     | 104

7     | 89

8     | 105

9     | 119

10    | 103

11    | 121

12    | 135

As you can see, the data repeats itself every 3 hours. The highest value in the data set is 135 cars, and the lowest value is 52 cars. The difference between these two values is 83 cars, which is about 7.5 times the average number of cars (90 cars). Therefore, the amplitude of the data set is about 7.5 cars.

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Answer:

3.46 gallons

Step-by-step explanation:

write your ratio: x gallons/800in^3 = 1 gallon/231in^3

cross multiply: 1*800 = 231*x

simplify: 800 = 231x

divide both sides by 231: 3.4632034632 = x

round+flip: x = 3.46 gallons

The best interpretation of the 99% confidence level for the mean sugar content of the shipment is given as follows:

(D) If we constructed many, many confidence intervals from random samples of this size, 99% of the intervals we constructed would capture the population mean.

It means that it is x% likely that the population parameter(mean/proportion/standard deviation) is between a and b, which are the bounds of the confidence interval.

This also means that over a large number of intervals, x% would contain the population parameter.

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