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Verdich [7]
3 years ago
10

Captain Jessica has a ship, the H.M.S Crimson Lynx. The ship is two furlongs from the dread pirate Ishaan and his merciless band

of thieves. If her ship hasn't already been hit, Captain Jessica has probability \dfrac{2}{5} 5 2 ​ start fraction, 2, divided by, 5, end fraction of hitting the pirate ship. If her ship has been hit, Captain Jessica will always miss. If his ship hasn't already been hit, dread pirate Ishaan has probability \dfrac{3}{8} 8 3 ​ start fraction, 3, divided by, 8, end fraction of hitting the Captain's ship. If his ship has been hit, dread pirate Ishaan will always miss. If the Captain and the pirate each shoot once, and the Captain shoots first, what is the probability that the Captain misses the pirate ship, but the pirate hits?
Mathematics
1 answer:
OLga [1]3 years ago
6 0

Answer:

9/40

Step-by-step explanation:

Captain Jessica shoots first.  This means her ship has not already been hit, which means she has a 2/5 chance of hitting the pirate ship.  This also means she has a 1-2/5 = 3/5 chance of missing the pirate ship.

Since Captain Jessica misses, dread pirate Ishaan has a 3/8 chance of hitting the captain's ship.  This means he has a

3/5(3/8) = 9/40 chance of the captain missing the pirate and the pirate hitting the captain.

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Deffense [45]
Quadratic form is given in the form
y= ax^{2}+bx+c, where a, b, and c are constants

We substitute the value (8, 12) and (5,3) in turn

12= a(8)^{2}+b(8)+c
12=64a+8b+c ... Equation 1

3=a(5)^{2}+b(5)+c
3=25a+5b+c ... Equation 2

Equation 1 - Equation 2 gives
39a+3b=9, we call this Equation 3

We also know that (5, 3) is the turning point of the curve, where the value of x is given by x=- \frac{b}{2a}
Substitute x=5
5=- \frac{b}{2a}
10a=-b
b=-10a ... Equation 4

Substitute Equation 4 into Equation 3
39a+3b=9
39a+3(-10a)=9
39a-30a=9
9a=9
a=1

Now we need to work out the value of b and c

Substitute a=1 back into equation 4
-10a=b
-10(1)=b
b=-10

Substitute a=1 and b=-10 into either equation 1 or equation 2

64a+8b+c=12
64(1)+8(-10)+c=12
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c=12+80-64
c=28

Hence the equation of the quadratic curve is
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8 0
3 years ago
Read 2 more answers
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kenny6666 [7]

Answer:

RTV = STV

Step-by-step explanation:

Required

Determine the relationship between RTV and STV

From the question, we understand that TV is a bisector of RTS at T;

This implies that, T divides RTS into two equal parts which are;

RTV and STV

Hence;

The relationship between RTV and STV is that, the are equal.

Mathematically;

RTV = STV

8 0
3 years ago
Fill in the blank. A right prism with a base perimeter of 9 units, a height of 5 units, and a total base area of 16 square units
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Apex. a solid geometric figure whose two end faces are similar, equal, and parallel rectilinear figures.
8 0
2 years ago
8) 4.8.12.5.10. -17.
ASHA 777 [7]

Answer:

1) 1     3     7     13    21     31     43  ( +2, +4, +6, +8, +10 и т.д.)

 

2) 255   127   63   31   15   7   3   (число -1, а затем полученное число :2)

 

3)92   46   44   22   20   10   8   4   (  :2, -2, :2, -2, :2, -2 и т.д.)                                   

 

4) 1   2   4   7   28   33    198 (+1, *2, +3, *4, +5, *6, +7, *8 и т.д)

5)3   7   6   7   9   7   12   7   15   7  (первое, третье, пятое и т.д. числа +3; между ними 7)

 

6) 6   8   11   13   16   18   21   23  (+2, +3, +2, +3 и т.д.)

 

7)1   4   8   13   19   26   34  43  (+3, +4, +5, +6, +7, +8 и т.д.)

 

8)128   64   32   16   8   4   2  (:2, :2, :2, :2 и т.д.)

9)3   4   8   17   33   58   94 (+1, +4, +9, +16, +25, +36 и т.д. (т.е. то, что прибавляется-увеличивается на                         +3, +5,  +7,  +9,   +11, и т.д.))

 

10)47   39   32   26   21   17   14   12  (-8, -7, -6, -5, -4, -3 и т.д.)

 

11)256   37   64   31   16   25   4   19  (первое, третье, пятое и т.д. числа :4; а второе, четвертое, шестое и т.д. числа -6)

 

12)5   9   13   17   21   25   29  (+4, +4, +4, +4, +4 и т.д.)

 

13)1   4   3   6   5   8   7   10  (+3, -1, +3, -1, +3, -1 и т.д.)

 

14)2   4   6   12   14   28   30   60   (*2, +2, *2, +2, *2, +2 и т.д.)

 

15)11   12   10   13   9   14   8   15  (+1, -2, +3, -4, +5, -6, +7, -8 и т.д.)

Step-by-step explanation:

8 0
2 years ago
Is 30/12 and 40/16 equivalent?
Flura [38]
30/12 in simplest form is 5/2 (cause 6 * 5 = 30 and 6 * 2 = 12)
40/16 in simplest form is 5/2 (cause 8 * 2 = 16 and 8 * 5 =40)
so yes they're equivalent;
30/12 = 40/16
Hope that helps :D have a nice day!
5 0
3 years ago
Read 2 more answers
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