Answer:
Mean: 12.6
Median: 12
Mode: 9, 10, 12, 15, 17
Step-by-step explanation:
Mean: To find the mean you have to add up all your terms and divide your result by the number of terms you have. ((12+9+17+15+10) / 5)
Median: To find the median you have to organize your terms from least to greatest and then find your center term. (12)
Mode: Normally to find your mode would be to organize your terms from least to greatest and see which of your terms occurs the most. In this case all terms occur only once, making all your terms the mode.
Answer:
Last week, she earned a total of $702 last week in commission.
Step-by-step explanation:
To solve this, we first need to find 13% of $5,400.
5,400 x 0.13 = 702
Therefore, Nadia earned a total of $702 last week in commission.
Now, we need to calculate how much money she'll earn in a whole year. So, let's see how many weeks are in a year.
1 year = 52 weeks when rounded to the nearest whole number
702 x 52 = $36,504
Therefore, Nadia earned a total of $36,504 in commission in 2011.
Hope this helps! :D
Answer:
Prism B has a larger base area
Step-by-step explanation:
Given
Base dimensions:
Prism A:
Lengths: 6cm, 8cm and 10cm
Prism B:
Lengths: 5cm and 5cm
Required [Missing from the question]
Which prism has a larger base area
<u>For prism A</u>
First, we check if the base dimension form a right-angled triangle using Pythagoras theorem.
The longest side is the hypotenuse; So:



The above shows that the base dimension forms a right-angled triangle.
The base area is then calculated by;
Area = 0.5 * Products of two sides (other than the hypotenuse)


<u>For Prism B</u>

So, the area is:


<em>By comparison, prism B has a larger base area because </em>
<em></em>
Answer:
a. 0.71
b. 0.9863
Step-by-step explanation:
a. The mean of the distribution is given as $403,000 and the standard deviation is $278,000.
-To estimate the probability that a randomly selected house has a value less than $500,000:

Thus, the probability that a randomly selected house has a value less than $500,000 is 0.71
b. -since 40 is larger than or equal to 30, we assume normal distribution.
-The probability can therefore be calculated as:

Hence, the probability that the mean value of the 40 houses is less than $500,000 is 0.9863