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valkas [14]
3 years ago
7

A cave contains 2 brown bats and 3 gray bats. The bats will fly out of the cave one at a time. What is the probability that the

fourth bat will fly out of the cave be gray? Express your answer as a common fraction
Mathematics
1 answer:
Marianna [84]3 years ago
4 0
The answer would be 1/5
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B is the midpoint of AC, E is the midpoint of BD. If A(-9,-4), C(-1,6), and E(-4,-3), find the coordinates of D
Vadim26 [7]

Answer:

(-3, -7)

Step-by-step explanation:

Let (x_{A,}y_{A}),(x_{B},y_{B}),(x_{C,}y_{C}),(x_{D,}y_{D})(x_{E,}y_{E)} \text{be the coordinates of points A, B, C respectively}\\\\

The midpoint coordinates (x_{M},y_{M}) of any two points (x_{1},y_{1}) and (x_{2},y_{2}) are given by x_{M}=\frac{(x_{1}+x_{2)}}{2} and y_{M}=\frac{y_{1}+y_{2}}{2}

Since B is the midpoint of AC

x_{B}=\frac{(x_{A}+x_{C})}{2}=\frac{(-9+(-1)}{2}=\frac{-9-1}{2}=\frac{-10}{2}=-5

y_{B}=\frac{(y_{A}+y_{C})}{2}=\frac{(-4+6)}{2}=\frac{2}{2}=1

Since E is the midpoint of B and D and we are given the coordinates of E as (-4,-3). it follows that

x_{E}=\frac{x_{B}+x_{D}}{2} = \frac{-4+x_{D}}{2}

Therefore

x_{D}=2x_{E}+4=2(-5)+4=-3

Similarly

y_{E}=\frac{y_{B}+y_{D}}{2} = \frac{1+x_{D}}{2}y_{D}=2y_{E}-1=2(-3)-7=-7

8 0
1 year ago
3) Which number is equivalent to 12 15 − 3 5 ? A) 2 15 B) 1 4 C) 1 5 D) 3 5
Otrada [13]

Answer:

Step-by-step explanation:

the answer is b

6 0
3 years ago
Freddy spent $56.07 on 4 pairs of jeans at the store. His cost included $4.15 sales tax. How much was each pair of pants?
Lady bird [3.3K]
Your answer would be 12.98

8 0
3 years ago
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Tony invested $9538 in an account at 8% compounded daily. Identify the compound
Greeley [361]

9514 1404 393

Answer:

  $794.30

Step-by-step explanation:

The account balance for principal P invested at rate r compounded daily for t years is ...

  A = P(1 +r/365)^(365t)

We have P=$9538, r=0.08, t=1, and we want the value of P-A, the interest earned.

  P-A = P(1 +0.08/365)^365 -1) = $9538(1.08327757 -1) ≈ $794.30

The interest earned in one year is $794.30.

8 0
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Answer:

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