2 years ago

Each leg of a 45°-45°-90° triangle measures 14 cm. What is the length of the hypotenuse?

Mathematics

1 answer:

Ghella [55]2 years ago

7 0

Answer: 14√2 cm

Step-by-step explanation:

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3 years ago

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 se

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2 years ago

One number exceeds another by 2 the sum of the number is 48 what are the numbers

Bond [772]

$x-\ first\ number\\y-\ second\ number\\\\
 \left \{ {{x-y=2} \atop {x+y=48}} \right. \\\\ \left \{ {{x=2+y} \atop {x+y=48}} \right. \\\\Substution\ method\\\\
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3 years ago

A police department reports that the probabilities that 0, 1, 2, and 3 burglaries will be reported in a given day are 0.53, 0.40

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The mean of the probability distribution is given by the expected value given by

$E(x)=\sum xp(x) \\ \\ =0(0.53)+1(0.40)+2(0.05)+3(0.02) \\ \\ =0.40+0.10+0.06=0.56$

The variance of the probability distribution is given by

$Var(x)=(x-\bar{x})^2p(x) \\ \\ =(0-0.56)^2(0.53)+(1-0.56)^2(0.40)+(2-0.56)^2(0.05)\\+(3-0.56)^2(0.02) \\ \\ =(-0.56)^2(0.53)+0.44^2(0.40)+1.44^2(0.05)+2.44^2(0.02) \\ \\ =0.3136(0.53)+0.1936(0.40)+2.0736(0.05)+5.9536(0.02) \\ \\ =0.166208+0.07744+0.10368+0.119072=0.4664$

The standard deviation is given by

$\sigma(x)=\sqrt{Var(x)} \\ \\ =\sqrt{0.4664}=0.683$

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2 years ago