Answer:
p v q = x < -3 or x > 3
Step-by-step explanation:
We are given
p: x < -3
q: x > 3
and we need to find p v q
v symbols represents disjunction and in simple terms it is called "or"
So, p v q represents either p holds or q holds
So, p v q = x < -3 or x > 3
step 1
<span>compute the average: add the values and divide by 6
Average =(44+ 46+40+34+29+41)/6=39
step 2
</span><span>Compute the deviations from the average
dev: (44-39)=5,
</span>dev: (46-39)=7
dev: (40-39)=1
dev: (34-39)=-5
dev: (29-39)=-10
dev: (41-39)=2
step 3
<span>Square the deviations and add
sum (dev^2): 5^2+7^2+1</span>^2+-5^2+-10^2+2^2
sum (dev^2): 25+49+1+25+100+4-----> 204
step 4
<span>Divide step #3 by the sample size=6
(typically you divide by sample size-1 to get the sample standard deviation,
but you are assuming the 6 values are the population,
so
no need to subtract 1, from the sample size.
This result is the variance
Variance =204/6=34
step 5
</span><span>Standard deviation = sqrt(variance)
standard deviation= </span>√<span>(34)------> 5.83
the answer is
5.83</span>
Answer:
Given,
Base (b) = 16 cm
slant Height (h) = 15 cm
a= 8 cm {a is the half of base}
x = ?
Using Pythagoras Theorem
<em><u>p</u></em><em><u>^</u></em><em><u>2</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>h^</u></em><em><u>2</u></em><em><u> </u></em><em><u>-</u></em><em><u> </u></em><em><u>b^</u></em><em><u>2</u></em>
x^2= 15 - 8
x^2 = 7
x = 2.64 cm
The length of the molecule is 
in scientific notation.
Data;
- Width of molecule = 3*10^-6 cm
- Number of molecules = 225
<h3>Length of the molecule</h3>
This can be calculated as the total length of the 225 molecules added together. To do this, we simply multiply both the numbers of the molecules by the width of the molecule.
This becomes;
The length of the molecule is in scientific notation.
Learn more on scientific notation here;
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