Answer:
Mean age: 48
Standard deviation: 4
Step-by-step explanation:
a) Mean
The formula for Mean = Sum of terms/ Number of terms
Number of terms
= 42 + 54 + 50 + 54 + 50 + 42 + 46 + 46 + 48+ 48/ 10
= 480/10
= 48
The mean age is 48
b) Standard deviation
The formula for Standard deviation =
√(x - Mean)²/n
Where n = number of terms
Standard deviation =
√[(42 - 48)² + (54 - 48)² + (50 - 48)² +(54 - 48)² + (50 - 48)² +(42 - 48)² + (46 - 48)² + (46 - 48)² + (48 - 48)² + (48 - 48)² / 10]
= √-6² + 6² + 2² + 6² + 2² + -6² + -2² + -2² + 0² + 0²/10
=√36 + 36 + 4 + 36 + 4 + 36 + 4 + 4 + 0 + 0/ 10
=√160/10
= √16
= 4
The standard deviation of the ages is 4
i. 171
ii. 162
iii. 297
Solution,
n(U)= 630
n(I)= 333
n(T)= 168
i. Let n(I intersection T ) be X
<h3>ii.
n(only I)= n(I) - n(I intersection T)</h3><h3>
= 333 - 171</h3><h3>
= 162</h3>
<h3>
iii. n ( only T)= n( T) - n( I intersection T)</h3><h3>
= 468 - 171</h3><h3>
= 297</h3>
<h3>
Venn- diagram is shown in the attached picture.</h3>
Hope this helps...
Good luck on your assignment...
Answer:
y = 7
Step-by-step explanation:
5(3y - 13) = 6y - 2
5*3y + 5*-13 = 6y - 2
15y - 65 = 6y - 2
15y - 6y = 65 - 2
9y = 63
y = 63/9
y = 7
Check:
5((3*7)-13) = 6*7 - 2
5(21-13) = 42 - 2
5*8 = 40
Answer:
9. This is because you have to add 13 to -4, which gives you positive 9. Hope this helped!
In order to develop an equation, let's use the slope-intercept form of the linear equation:
Using the points (3, 13.5) and (5, 18.5) from the table, we have:
Subtracting the second and the first equation:
Now, finding the value of b:
So the equation that represents this table is y = 2.5x + 6
Looking at the options, the correct one is E (none of the above).
