A. The mean and standard deviation.
The mean of a sampling distribution is approximately equal to the mean of the population. Given that the mean of the population is equal to 174.5, the mean of the sampling distribution is also this value.
The standard deviation of a sample distribution is equal to,
u(m) = u/sqrt n
Substituting the known values,
u(m) = 6.9 / sqrt 25 = 1.38
b. Get the z-score of both items,
z-score = (data point - mean) / standard deviation
z-score of 172.5
z-score = (172.5 - 174.5) / 1.38 = -1.49
This translates to 0.068.
z-score of 175.8
z-score = (175.8 - 174.5) / 1.38 = 0.94
This translates to 0.83.
The difference between the two z-scores is 0.762.
The number of samples with this height is 0.762(200) which is equal to approximately 152.
c. z-score of 172 centimeters
z-score = (172 - 174.5) / 1.38
z-score = -1.81
This translates to 0.03.
The number of people with this height from the sample is (0.03)(200) = 6
Answer:
Any number in form of x.y = x (1) + 1/10 (y)
where x = 5 & y > 3 , or x > 5
Step-by-step explanation:
Expanded form of 5.3 = 5 (1) + 3 (1/10)
Some decimals written in expanded form that are greater than 5.3 :
5 (1) + 4 (1/10) = 5.4
6 (1) + 2 (1/10) = 6.2
Answer:
Step-by-step explanation:
Let x represent the number of youth tickets purchased at the zoo.
Let y represent the number of adult tickets purchased at the zoo.
At the zoo, youth tickets cost $5 and adult tickets cost $9. A group spent a total of $90 on tickets. This means that
5x + 9y = 90
The domain of the relationship is the possible set of values of x and y that satisfies the equation. The domain of this relationship is
0 ≤ x ≤ 18
At x = 0, it means only adult tickets were purchased.
At x = 18, it means only youth tickets were purchased.
Answer:
$1064.20
Step-by-step explanation:
36 payments of $168.45 have a total of $6064.20. The excess over the loan amount of $5000 is the interest paid:
$6064.20 -5000 = $1064.20 . . . . interest paid
