Answer:
16% of students will complete the exam in less than 60 minutes
Step-by-step explanation:
The Empirical Rule(68-95-99.7) states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 70
Standard deviation = 10
What percentage of students will complete the exam in less than 60 minutes
60 = 70-10
So 60 is one standard deviation below the mean
By the Empirical Rule, 68% of the measures are within 1 standard deviation of the mean, that is, from 60 to 80 minutes. The other 100-68 = 32% is outside this interval. Since the normal distribution is symmetric, 16% of those are below 60 and 16% of those are above 80.
16% of students will complete the exam in less than 60 minutes
The answer would be -9/40
Here’s how you solve it!
Use PEMDAS through out the whole process
Anything that I should multiplied by 1 stays the same so you can multiply the 1 first so your equation looks like this:
3✖️1/8✖️(2/3➕2✖️2/3✖️(1/4➖6/5))
Now subtract the fractions that are in the parentheses, subtract 1/4➖6/5 so your equation looks like this:
3✖️1/8✖️(2/3➕2✖️2/3✖️(➖19/20))
Since a positive multiplied by a negative equals a negative change the sign so your equation should look like this:
3✖️1/8✖️(2/3➖2✖️2/3✖️19/20)
Then use the greatest common divisor and reduce it by 2
3✖️1/8✖️(2/3➖2/3✖️19/10)
Then reduce again
3✖️1/8✖️(2/3➖1/3✖️19/5)
Then multiply the two factors so it now looks like this:
3✖️1/8✖️(2/3➖19/15)
Now subtract what’s in the parentheses so you get this:
3✖️1/8✖️(➖3/5)
Since a positive multiplied by a negative equals a negative it will now look like this:
➖3✖️1/8✖️3/5
Now all you have to do left is calculate the product to get your answer:
-9/40
Hope this helps! :3
Answer:
12
Step-by-step explanation:
It is worthwhile memorizing the ratios of legs in a 30°–60°–90° triangle. Shortest to longest, the ratios are ...
1 : √3 : 2
Then the sides marked will have the ratio ...
6 : x = 1 : 2 = 6 : 12
x = 12
_____
You can also get there using trigonometry.
cos(60°) = 6/x
x = 60/cos(60° = 60/0.5
x = 12
Answer:
Step-by-step explanation:
Hey there this si the upper and lower bound for 17
16.5<17<17.5
Answer:
A=(1,6) B=(1,6)
Step-by-step explanation:
Its the absolotle value between them.
