What is the volume of the rectangular pyramid shown? 22 yd. 20 yd 15 yd
1 answer:
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Answer:
see below
Step-by-step explanation:
dilation with a scale factor of 1/3 means the distances to the center shrink by 1/3
so for center (4,-2)
distance of (7,4) is 3 n 6 to center
1/3 of distance = 1 n 2
so (7,4) become (4+1, -2+2) = (5, 0) after the dilation
similarly u can find the other 2 pts
distance of (-2,4) is -6 n 6 to center
1/3 of distance = -2 n 2
so (-2,4) become (4-2, -2+2) = (2, 0) after the dilation
distance of (1, 10) is -3 n 12 to center
1/3 of distance = -1 n 4
so (1,10) become (4-1, -2+4) = (3, 2) after the dilation
plot the new triangle using the 3 pts
Answer:
0.003
Step-by-step explanation:
By formula we know that:
z (x) = (x - m) / [sd / sqrt (n)]
where x is the value we want to know (60,000), m is the mean (63500), sd is the standard deviation (6100) and n is the sample size (35).
Replacing we have:
z (60000) = (60000 - 63500) / [6100 / sqrt (35)]
z = -3.39
If we look in the normal distribution table (attached), we have that the probability is 0.0003.
