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Dvinal [7]
3 years ago
7

A circle with radius r is inscribed inside a square with a side length s. Use 3.14 for TT. Round answers to the nearest hundredt

h if necessary.
Write an expression for the area of the shaded region.

A=

Mathematics
1 answer:
Kamila [148]3 years ago
8 0

Answer:

Step-by-step explanation:

Area of circle =πr²  and r = s/2

Area of the shaded region = area of square - area of the circle

A = s² + πr²  

You might be interested in
For each set of probabilities, determine whether the events A and B are independent or dependent.
lozanna [386]

Answers:

  • (a) Independent
  • (b) Dependent
  • (c) Dependent
  • (d) Independent

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

Explanation:

If events A and B are independent, then the two following equations must both be true

  • P(A | B) = P(A)
  • P(B | A) = P(B)

This is because the conditional probability P(A|B) means "P(A) when B has happened". If B were to happen, then P(A) must be the same as before. In other words, event B does not affect A, and vice versa.

For part (a), we have P(B) = 1/4 and P(B|A) = 1/4 showing that P(B|A) = P(B) is true, and therefore we can say the events are independent. We don't need the info that P(A) = 1/8.

------------------------

Unlike part (a), part (b) has the answer "dependent" because P(A) = 1/8 and P(A | B) = 1/3 differ in value. Event A starts off at probability 1/8, but then event B occurring means P(A) gets increased to 1/3. The prior knowledge about B changes the chances of A. The P(B) = 1/5 is unneeded.

------------------------

If A and B were independent, then,

P(A and B) = P(A)*P(B)

However,

P(A)*P(B) = (1/4)*(1/5) = 1/20

which is not the same as P(A and B) = 1/6. Therefore the two events are dependent.

------------------------

Refer back to part (a)

P(A) = 1/4 and P(A|B) = 1/4 are identical in value, so P(A|B) = P(A) which leads to the events being independent. Whether we know event B happened or not, it does not affect the outcome of event A. P(B) = 1/9 is unneeded.

7 0
2 years ago
Who is robert walton
BartSMP [9]
P sure this is from Frankenstein but he's the one who drags Frankenstein out from the ice and saves him
6 0
3 years ago
Read 2 more answers
Please help me with this
N76 [4]

Answer:

ASA

Step-by-step explanation:

One pair of corresponding angles (in the bottom left/right) are already marked for us, and we're also given a pair of corresponding sides (the 8cm ones on the left and right). The two triangles have one more angle in common too - the one they're overlapping on the top corner. So, we have:

- Two pairs of congruent corresponding angles, and

- A pair of congruent corresponding sides between them,

which is enough information to call the triangles congruent by Angle-Side-Angle (ASA).

4 0
3 years ago
For the summer camp, Josie orders 45 sets of markers. One -fifth of the sets need to go to the office 2/3 of the sets go to the
Degger [83]

Answer:

6 sets

Step-by-step explanation:

(“of”=multiply)

Step 1.

1/5 of 45 sets = 45 x 1/5 = 9 sets.

Step2.

2/3 of 9 sets = 9 x 2/3 = 6 sets

Final Answer:

6 sets

7 0
3 years ago
Which graph represents the solution to the inequality 3 < 2- x/3 <7/2
Tems11 [23]

Answer:

C

Step-by-step explanation:

3 0
3 years ago
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