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Tanya [424]
3 years ago
15

I'll give brainliest ​

Mathematics
1 answer:
ohaa [14]3 years ago
8 0

Answer:

Max height = 21 feet

Yes -  can reach the ledge

Step-by-step explanation:

For quadratics of the form

y = ax² + bx + c

The x coordinate of the vertex is at

x = -b/2a

therefor

t = (-32) / (2 * -16)

t = 1

h(1) = -16(1²) + 32(1) + 5

h(1) = 21

Max height = 21 feet

21 > 20

Yes -  can reach the ledge

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On each round, Ann and Bob each simultaneously toss a fair coin. Let Xn be the number of heads tossed in the 2n flips which occu
CaHeK987 [17]

Answer:

P=\frac{2n!}{m!*(2n-m)!}*0.5^{2n}

Step-by-step explanation:

In a coin toss the  probability of tossing a head is 0.5 (50% head/50% tails)

If n is the number of rounds and 2n the number of coins tossed (one for each player), the probability of having m heads tossed is:

R=\frac{2n!}{m!*(2n-m)!}

R is the number of cases (combination of coins tossed) that gives a m number of heads. Each case has a probability of P_{case}=0.5^{2n} so:

P=\frac{2n!}{m!*(2n-m)!}*0.5^{2n}

<u>For example, to toss 4 heads in 5 rounds: </u>

  • n=5
  • 2n=10
  • m=4

P=\frac{10!}{4!*(10-4)!}*0.5^{10}

P=\frac{10*9*8*7*6!}{4!*6!}*0.5^{10}

P=\frac{10*9*8*7}{4!}*0.5^{10}

P=\frac{10*9*8*7}{4!}*0.5^{10}=0.205

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3 years ago
You take a three-question true or false quiz. You guess on all the questions. What is the probability that you will get a perfec
elena-14-01-66 [18.8K]
The probability that you will guess the first answer correctly  =  1/2  =  0.5
The probability that you will guess the second answer correctly  =  1/2  =  0.5
The probability that you will guess the third answer correctly  =  1/2  =  0.5

The probability that you will guess all three answers correctly is

                (0.5) x (0.5) x (0.5)  =  0.125  =  12.5% .

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

Here are all the ways your answer sheet could wind up:
(R = a right answer.  W = a wrong answer.)

W W W 
W W R
W R W
W R R
R W W
R W R
R R W
R R R

Number of possible ways to score 0 right out of 3 questions:  1 way
Number of possible ways to score 1 right out of 3 questions:  3 ways
Number of possible ways to score 2 right out of 3 questions:  3 ways
Number of possible ways to score 3 right out of 3 questions:  1 way

Statistically, if your answers are all pure guesses, 
then on the average, the score you expect is

      (0 + 33-1/3 + 33-1/3 + 33-1/3 + 66-2/3 + 66-2/3 + 66-2/3 + 100) / 8

   =                  400 / 8

   =                      50%  .  

If you're happy with that score, great !  
Go to the movies the night before the test,
and start guessing.


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Total 27inch^

Calculation of 1 rectangle +1 triangle(11-7=4 is the base)

triangle    x^+4^=5^

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                  x^=9

                    x=3      (height=3)

Sides of triangle  Base=4   Hypotenuse=5     height =3 

area 1/2 4  x  3  =2x3=6

Area triangle =6

Area Rectanglel   7x3=21

21+6=27 inch^ total area



5 0
3 years ago
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