If the ratio of the area of circle A to the area of circle B is 2 : 1, then how many times larger is the circumference of circle A than the circumference of circle B?

Answers

Answer 1
Answer: area A / area B = 2 / 1; => radius A / radius B = √(2);
circumference of circle A / circumfereance of circle B =  radius A / radius B = √(2) => √(2)≈1.41;


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A survey of 1,000 men and women asked, "Do you earn over $50,000 per year?" The table below shows the responses for males and females:Male Female Total
Income over $50,000 485 385 870
Income below $50,000 65 65 130
Total 550 450 1,000


Based on these data, are "being male" and "earning over $50,000" independent events?


A) Yes, P(being male | the person earns over $50,000) ≠ P(being male)
B) Yes, P(being male | the person earns over $50,000) = P(being male)
C) No, P(being male | the person earns over $50,000) ≠ P(being male)
D) No, P(being male | the person earns over $50,000) = P(being male)

Will give a "Brainliest answer" to the first person to respond

Answers

                                               Male    Female    Total
Income over $50,000         485        385         870
Income below $50,000        65           65        130
Total                                       550        450       1,000

Probability of being male: 550/1000 = 0.55
Probability of earning over $50,000: 870/1000 = 0.87

0.55 x 0.87 = 0.4785

Probability of being male and earning over $50,000: 485/550 = 0.8818

C) No, P(being male | the person earns over $50,000) ≠ P(being male)



Based on the date given "being male" and "earning over $50,000"  are NOT mutually exclusive events. That is "No, P(being male | the person earns over $50,000) ≠ P(being male)" (Option C)

What are mutually exclusive (or independent) events?

Two events are independent or mutually exclusive if they are distinct from one another and cannot alter the reaction of one another.

Calculation

  • Probability of being male: 550/1000 = 0.55
  • Probability of earning over $50,000: 870/1000 = 0.87

=0.55 x 0.87

= 0.4785

Thus, probability of being male and earning over $50,000

= 485/550

= 0.8818

Hence, we can state that  P(being male | the person earns over $50,000) ≠ P(being male)

Learn more about mutually exclusive events at;
brainly.com/question/27588497
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3 12 Find the nth term of each sequence. (a) -1, -3, -5, -7, -9, .​

Answers

Hello!

Answer:

\Large \boxed{\sf -11}

Step-by-step explanation:

→ We want to find the next term of this sequence:

\sf (-1, -3, -5, -7, -9, ...)

→ The sequence (-1, -3, -5, -7, -9, ...) is an arithmetic sequence because the difference between any two consecutive terms is constant.

→ The common difference is -2.

→ So the next term of this sequence is equal to:

\sf -9-2 = \boxed{\sf -11}

Conclusion:

The next term of the sequence (-1, -3, -5, -7, -9, ...) is -11.

Help meeee please! This is so confusing

Answers

Answer:

  9 3/4 . . . . (for the numbers shown)

Step-by-step explanation:

Each number in the table is the product of the number in the left margin and the number in the top margin:

  9 = 3·3

  3/4 = 3·1/4

The total of these numbers in the table is the Area value being asked for.

  9 + 3/4 = 9 3/4

_____

If there is more to the question that isn't shown, you will need to add those partial products to the total, too. We presume you know how to add fractions and mixed numbers.

Hurry im timed
will give brainlyst

Answers

Answer:

B = 13.75

Step-by-step explanation:

Find the particular equation of quadratic function containing (-2,-11) (4,13) and (6,29)

Answers

f(x) = a*x^2 + b*x + c; where a is not 0;
f(-2) = -11 => 4a -2b + c = -11;
f(4) = 13 => 16a +4b + c = 13;
f(6) = 29 => 36a + 6b + c = 29;
You must find a, b, c;

If the equation of a circle is (x + 5)2 + (y - 7)2 = 36, its center point is (5, 7) (-5, 7) (5, -7) If the equation of a circle is (x + 5)2 + (y - 7)2 = 36, its radius is 6 16 36
If the equation of a circle is (x - 2)2 + (y - 6)2 = 4, the center is point (2, 6).
a. True
b. False
The distance between A (-5, 3) and B(5, 3) is. 3 6 10

Answers

Answer:

Part 1. Center point is ( -5 , 7 ).

Part 2. Radius is 6

Part 3. False

Parts 4. Distance between A & B is 10.

Step-by-step explanation:

Standard Equation of circle is ,

( x - h )² + ( y - k )² = r²

where, ( h , k ) is coordinate of center of circle and r is radius of circle.

Part 1.

Comparing with standard equation of circle we get,

Coordinate of center of circle = ( -5 , 7 )

Thus, 2nd Option is correct.

Part 2.

Comparing with standard equation of circle we get,

radius of circle = 6

Thus, 1st Option is correct.

Part 3.

Comparing with standard equation of circle we get,

Coordinate of center of circle = ( 2 , 3 )

Thus, False.

Part 1.

Distance between two point given by √((x_2-x_1)^2+(y_1-y_1)^2)

Distance between A( -5 , 3 ) & B ( 5 , 3 ) = √((-5-5)^2+(3-3)^2)

                                                                  = √((-10)^2+0^2)

                                                                  = 10

Thus, 3rd Option is correct.

Hello,
1): its center point is (-5,7).  Answer B
2):radius is 6 Answer A
3) Anwser A true
4)|AB|=√((5+5)²+(3-3)²)=10 Answer C