Hurry I’m being timed!!!
1 answer:
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Answer:
24/5
Step-by-step explanation:
The way I think about areas of sectors is a fraction of the pie. You know what percentage of the "pie" (in this case, circle) you want, because they give you the angle of the sector and you know a circle always has 360°. So technically, you're trying to find 48/360 th of the entire area (36). If you're using a calculator, it doesn't matter if you simplify the fraction, but if you're doing it by hand simplifying makes everything a lot easier.
The equation will be:
Area = 24/180 × 36
= 2/15 × 36
= 72/15
= 24/5
I hope this helped! Also, in Khan Academy, when you get an answer wrong/right, you can view their explanation by clicking "hint" or sometimes "see how we did it" shows up.
Answer:
a) P=0
b) P=1
c) P=0
d) X=7.1645
Step-by-step explanation:
We have the pH of soil for some region being normally distributed, with mean = 7 and standard deviation of 0.10.
a) What is the probability that the resulting pH is between 5.90 and 6.15?
We calculate the z-score for this 2 values, and then compute the probability.
Then the probability is
b) What is the probability that the resulting pH exceeds 6.10?
We repeat the previous procedure.
c) What is the probability that the resulting pH is at most 5.95?
d. What value will be exceeded by only 5% of all such pH values?
We have to calculate the value of pH for which only 5% is expected to be higher. This can be represented as P(X>x)=0.05.
In the standard normal distribution, it happens for a z=1.645.
Then, we can calculate the pH as: