The contrapositive statement are:
- If the lake is frozen, then it isn't cold.
- If Solomon is happy, then he isn't healthy.
- If Tigist does not take a walk, then it will not rain
<h3>What is the
converse statement?</h3>
The converse statement are:
- If the late is frozen, then it is cold.
- If Solomon is happy, then he is healthy.
- If Tigist Tigist does not take a walk, then it will rain.
Note that the converse of a statement is created by the act of switching the hypothesis given and also the conclusion.
Therefore, The contrapositive statement are
- If the lake is frozen, then it isn't cold.
- If Solomon is happy, then he isn't healthy.
- If Tigist does not take a walk, then it will not rain
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probability that the persons IQ falls between 110 and 130 is 0.2286 .
<u>Step-by-step explanation:</u>
Step 1: Sketch the curve.
The probability that 110<X<130 is equal to the blue area under the curve.
Step 2:
Since μ=100 and σ=15 we have:
P ( 110 < X < 130 )=P ( 110−100 < X−μ < 130−100 )
⇒ P ( (110−100)/15< (X−μ)/σ<(130−100)/15)
Since Z = (x−μ)/σ , (110−100)/15 = 0.67 and (130−100)/15 = 2 we have:
P ( 110<X<130 ) = P ( 0.67<Z<2 )
Step 3: Use the standard normal table to conclude that:
P ( 0.67<Z<2 )=0.2286
Therefore, probability that the persons IQ falls between 110 and 130 is 0.2286 .
Answer:(0,3)
Step-by-step explanation: