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allsm [11]
2 years ago
12

Given ZW=20. Answer the questions please. ​

Mathematics
1 answer:
djyliett [7]2 years ago
8 0

a) Corresponding angles of similar figures are congruent, so \angle B \cong \boxed{\angle Z}

b) Scale factor = (image)/(preimage). Since we are looking for ABCD to WZYX, this means that WZYX is the image and ABCD is the preimage. Thus, the scale factor is \frac{25}{10}=\boxed{5/2}

c) Since the scale factor is 5/2,

\frac{20}{t}=\frac{5}[2}\\\\40=5t\\ \\ t=\boxed{8}

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4 0
3 years ago
The sum of three consecutive
TEA [102]

Answer:

Step-by-step explanation:

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fiasKO [112]

Answer:

Required Probability = 0.605

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Let Probability of people actually having predisposition, P(PD) = 0.03

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Let PR = event that result are positive

Probability that the test is positive when a person actually has the predisposition, P(PR/PD) = 0.99

Probability that the test is positive when a person actually does not have the predisposition, P(PR/PD') = 1 - 0.98 = 0.02

So, probability that a randomly selected person who tests positive for the predisposition by the test actually has the predisposition = P(PD/PR)

Using Bayes' Theorem to calculate above probability;

 P(PD/PR) = \frac{P(PD)*P(PR/PD)}{P(PD)*P(PR/PD)+P(PD')*P(PR/PD')}

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7 0
3 years ago
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