volume of a sphere is 4/3 * PI * r^3
r = 6
r^3 = 6^3 = 216
4/3 * 216 = 288
Volume = 288 PI in^3
Answer:
y = 5x + 92
y = 9x + 27
Step-by-step explanation:
Slope intercept form is written as y = mx + b, and you know that y represents "quects" and x represents months.
For farmer Rew, b would be 92 because that is how many "quects" he started off with. m would be 5 because that is how many new "quects" he gets every month. (y = 5x + 92)
For farmer Joogh, b would be 27 because she started off with 27 "quects." m would be 9 because she gets 9 new "quects" every month. (y = 9x + 27)
Answer:
x = 14
Step-by-step explanation:
6x+x-8=6x+6
Combine like terms
7x -8 = 6x+6
Subtract 6x from each side
7x-6x-8=6x-6x+6
x-8 = 6
Add 8 to each side
x-8+8 = 6+8
x = 14
Answer:
57.93% probability that a trip will take at least 35 minutes.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

What is the probability that a trip will take at least 35 minutes
This probability is 1 subtracted by the pvalue of Z when X = 35. So



has a pvalue of 0.4207
1 - 0.4207 = 0.5793
57.93% probability that a trip will take at least 35 minutes.