Square root of 90 minus r equals r
1 answer:
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Answer:
E.
Step-by-step explanation:
Consider a circle having centre P and radius 20 inches,
So, the area of the circle,
Also, suppose points Q and R are on the circumference,
i.e. PQ = PR = 20 inches,
If QR = 20 inches,
So, triangle PQR is an equilateral triangle,
⇒ m∠RPQ = 60°,
Now, suppose R' is another point on the circle,
Such that, ΔPQR ≅ Δ PQR',
⇒ m∠QPR' = 60°,
Thus, minor angle, m∠RPR' = m∠RPQ + m∠QPR' = 60° + 60° = 120°,
⇒ major angle, m∠RPR' = 360° - 120° = 240°,
So, the area of the circle where a point on the circumference is closer to P than it is to Q
Hence, the probability that a point is closer to P than it is to Q =
i.e. OPTION E is correct.
Mean of the distribution = u = 222
Standard Deviation = s = 16
We have to find the probability that a value lies between 190 and 230.
First we need to convert these data values to z score.
For x = 190,
For x = 230
So, we have to find the percentage of values lying between z score of -2 and 0.5
P( -2 < z < 0.5) = P(0.5) - P(-2)
From standard z table, we can find and use these values.
P(-2 < x < 0.5 ) = 0.6915 - 0.0228 = 0.6687
Thus, there is 0.6887 probability that the data value will lie between 190 and 230 for the given distribution.
Standard Deviation = s = 16
We have to find the probability that a value lies between 190 and 230.
First we need to convert these data values to z score.
For x = 190,
For x = 230
So, we have to find the percentage of values lying between z score of -2 and 0.5
P( -2 < z < 0.5) = P(0.5) - P(-2)
From standard z table, we can find and use these values.
P(-2 < x < 0.5 ) = 0.6915 - 0.0228 = 0.6687
Thus, there is 0.6887 probability that the data value will lie between 190 and 230 for the given distribution.