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2 years ago

If m∠PTQ = 3y –10 and m∠QTR = y, find the value of y so that ∠PTR is a right angle

Mathematics

1 answer:

RideAnS [48]2 years ago

5 0

Answer:

y = 25

Step-by-step explanation:

Given that,

m∠PTQ = 3y –10 and m∠QTR = y

We need to find the value of y so that ∠PTR is a right angle.

For a right angle, one of the angle is 90 degrees. The sum of the angle of a triangle is equal to 180 degrees. So,

3y –10 + y + 90 = 180

Taking like terms together

3y+y = 180 -90 +10

4y = 100

y = 25

So, the value of y is 25.

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2 years ago

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Answer:

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The probability that k individuals in the sample have Type A blood can be calculated as:

$P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{8}{k} 0.4^{k} 0.6^{8-k}\\\\\\$

Then, we can calculate the probability that more than 8/2=4 have Type A blood as:

$P(X>4)=P(X=5)+P(X=6)+P(X=7)+P(X=8)\\\\\\P(x=5) = \dbinom{8}{5} p^{5}(1-p)^{3}=56*0.0102*0.216=0.1239\\\\\\P(x=6) = \dbinom{8}{6} p^{6}(1-p)^{2}=28*0.0041*0.36=0.0413\\\\\\P(x=7) = \dbinom{8}{7} p^{7}(1-p)^{1}=8*0.0016*0.6=0.0079\\\\\\P(x=8) = \dbinom{8}{8} p^{8}(1-p)^{0}=1*0.0007*1=0.0007\\\\\\\\P(X>4)=0.1239+0.0413+0.0079+0.0007=0.1738$

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