Answer:
Mean = 7
Median = 7.65
Mode = 4.4
Range = 9.9
Step-by-step explanation:
The question is incomplete as it doesn't state what to find. Lets complete the question first. The complete question states that:
Calculate the following for the data set
Mean
Median
Mode
Range
<h3>A) Mean</h3>
Mean = sum of values/ total number of values
Mean = 84/12
Mean = 7
<h3>B) Median</h3>
Arrange the data in ascending order
1.8, 2.5, 2.6, 4.4, 4.4, 7.3, 8.0, 9.5, 10.3, 10.4, 11.1, 11.7
Median = Average of middle values
Median = (7.3+8.0) / 2
Median = 7.65
<h3>C) Mode</h3>
Mode = number which appears most = 4.4
<h3>D) Range</h3>
Range = Max value - Min value
Range = 11.7 - 1.8
Range = 9.9
Answer: The minimum and maximum distances that Morgan's dog may be from the house are 508 meters and 492 meters.
Step-by-step explanation:
Hi, to answer this question we have to solve the given equation: |x – 500| = 8.
The modulus can take a positive value (x - 500) or a negative value (-x+500).
- <em>For the positive value:
</em>
x -500 = 8
x = 8+500
x =508
- <em>For the negative value:
</em>
- (x -500) =8
-x +500 =8
500 -8 = x
492 =x
So, the minimum and maximum distances that Morgan's dog may be from the house are 508 meters and 492 meters.
Feel free to ask for more if needed or if you did not understand something.
Let x = 63.63...(by repeating i assume you mean the 63 is repeated as 63.636363...)
therefore 100x = 6363.63..
100x-x =6300 (the recurring bit has been cancelled out which is what you should always aim to do)
99x=6300
x = 6300/99
cancel down
x = 700/11
Answer:
See explanation below.
Step-by-step explanation:
Let's take P as the proportion of new candidates between 30 years and 50 years
A) The null and alternative hypotheses:
H0 : p = 0.5
H1: p < 0.5
b) Type I error, is an error whereby the null hypothesis, H0 is rejected although it is true. Here, the type I error will be to conclude that there was age discrimination in the hiring process, whereas it was fair and random.
ie, H0: p = 0.5, then H0 is rejected.
The function is written as:
f(x) = log(-20x + 12√x)
To find the maximum value, differentiate the equation in terms of x, then equate it to zero. The solution is as follows.
The formula for differentiation would be:
d(log u)/dx = du/u ln(10)
Thus,
d/dx = (-20 + 6/√x)/(-20x + 12√x)(ln 10) = 0
-20 + 6/√x = 0
6/√x = 20
x = (6/20)² = 9/100
Thus,
f(x) = log(-20(9/100)+ 12√(9/100)) = 0.2553
<em>The maximum value of the function is 0.2553.</em>
