The probability that the monthly payment is more than $1000 will be found as follows;
The payment is normally distributed, thus the z-score will be given by:
Z-score=(x-Mean)/(SD)
Mean=$982
SD=$180
Thus;
Z-score=(1000-982)/180=0.1
The probability associated with a z-score of 0.1 is 0.5398
Thus the probability that the monthly payment is more than $1000 will be:
P(x<1000)=1-0.5398=0.4602=46.02%
9514 1404 393
Answer:
yes, no, no
Step-by-step explanation:
The triangle will be a right triangle if the sum of the squares of the two short sides, less the square of the long side, is zero. (This is what the Pythagorean theorem tells you.) The angle where the radius meets the circle must be a right angle if the line is to be a tangent.
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a) 3^2 +4^2 -5^2 = 9 + 16 -25 = 0 . . . . AB is a tangent
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b) 9^2 +15^2 -18^2 = 81 +225 -324 = -18 . . . . AB is not a tangent
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c) 10^2 +48^2 -52^2 = 100 +2304 -2704 = -300 . . . . AB is not a tangent
Answer:
33%
Step-by-step explanation:
hope this helps :)
Answer:
Total surface area=228cm²
Step-by-step explanation:
Area of bottom(parallelogram)=12×12=144cm²
area of 1 triangle=1/2×8×12=48cm²
area of 3triangles=48×3=144cm²
Total surface area=144+144=228cm²
