No, because the probability of each outcome are not relatively close to one another.
Answer:
base = 5.6 cm
Step-by-step explanation:
area of a triangle = 1/2 * base * height
area = 5.88 cm²
height = 2.1 cm
5.88 = 1/2 * base * 2.1
5.88 = 1.05 base
5.88 / 1.05 = base
base = 5.6 cm
a. Find the probability that an individual distance is
greater than 214.30 cm
We find for the value of z score using the formula:
z = (x – u) / s
z = (214.30 – 205) / 8.3
z = 1.12
Since we are looking for x > 214.30 cm, we use the
right tailed test to find for P at z = 1.12 from the tables:
P = 0.1314
b. Find the probability that the mean for 20 randomly
selected distances is greater than 202.80 cm
We find for the value of z score using the formula:
z = (x – u) / s
z = (202.80 – 205) / 8.3
z = -0.265
Since we are looking for x > 202.80 cm, we use the
right tailed test to find for P at z = -0.265 from the tables:
P = 0.6045
c. Why can the normal distribution be used in part (b),
even though the sample size does not exceed 30?
I believe this is because we are given the population
standard deviation sigma rather than the sample standard deviation. So we can
use the z test.
Since only 30% of the teachers taught for one year, the remaining percentage of the teachers had taught for more than a year, or 70%.
70%=0.7
80(0.7)=56
56 teachers had taught for more than a year.
Answer: 55% of the students passed the math test
Step-by-step explanation: The fraction 
represents the number of students who passed the math test out of all the students that took the test.
To find out what percent of the students that took the math test passed, we can turn the fraction into a percent.
To write a fraction as a percent, first remember that a percent is a ratio of a number to 100. So to write as a percent, we need to find a fraction that is equivalent to with a 100 in the denominator. We can do this by setting up a proportion.
Now, we can use cross products to find the missing value.
4,400 = 80n
÷80 ÷80
55 = n
Therefore, 55% of the students that took the math test passed it. This should make sense because 40/80 would be half and 44 students is only a little over 50%.
