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:
A. 228.5
B. 10
Step-by-step explanation:
A. Since <em>x</em> represents the number of months, replace <em>x</em> with 6 in the equation. Then multiply 29x6, which equals 174. Then add 174+54.5, which equals 228.5.
B. You need to solve for <em>x</em> by switching the signs in the equation<em>. </em>Set the original equation (29x+54.5) equal to 344.50. To solve for <em>x, </em>first subtract 344.50-54.5, which equals 290 (you subtract because it's the opposite of adding). Then divide 290÷29, which equals 10. You can check your work by replacing <em>x</em> in the original equation with 10, and if you get 344.5, your answer is correct.
Good luck :)
The reciprocal of 3/5 is 5/3.
To get the reciprocal of a fraction, just turn it upside down.
A fraction has a numerator, top number, and a denominator, bottom number.
To get the reciprocal of a fraction, just swap over the numerator and denominator.
If whole numbers, to get the reciprocal of whole number, just divide the whole number by 1 to make it into a fraction, then get the reciprocal of that fraction.
<span>seven less than (-7) than the product of twice a number (2x) is greater than (>) five more than (+5) the same number (x)
2x-7>x+5
treat the > sign as an equals for now
2x-7=x+5
subtract x from both sides
x-7=5
add 7 to both sides
x=12
put the > sign back in
x>12</span>
