Answer:
Domain: -5
x < 1
Range: -4
y < 7
Step-by-step explanation:
The domain is the x-values for which the function exists. It starts off at x=-5, and since the dot is closed it includes it, and finishes at x = 1, where the dot is open.
The range is the y-values for which the function exists. It starts at y= -4, and since the dot is closed there, it includes his value. Then, it finishes at y = 7, where the dot is open meaning it doesn't include it.
Answer: 100
5
Step-by-step explanation:
a) The mean of a normal distribution is also the median. Half the population will have values above the mean. Half of 200 is 100, so ...
... 100 students will have grades above 70%.
b) 84% is 14% above the mean. Each 7% is 1 standard deviation, so 14% is 2 standard deviations above the mean. The empirical rule tells you 95% of the population is within 2 standard deviations of the mean, so about 5% of students (10 students) got grades higher than 84% or lower than 56%. The normal distribution is symmetrical, so we expect about 5 students in each range.
... about 5 students will have grades above 84%.
Answer:
x = 22
Step-by-step explanation:
+ 2 = 6 ( subtract 2 from both sides )
= 4 ( square both sides to clear the radical )
x - 6 = 4² = 16 ( add 6 to both sides )
x = 22