Answer:
The mass of 3.13*10²³ molecules of carbon dioxide is 22.88 g.
Step-by-step explanation:
Avogadro's Number or Avogadro's Constant is the number of particles that make up a substance (usually atoms or molecules) and that can be found in the amount of one mole of said substance. Its value is 6.023*10²³ particles per mole and it applies to any substance.
Then you can apply the following rule of three: if 6.023*10²³ molecules are present in 1 mole, 3.13*10²³ molecules are present in how many moles?
moles= 0.52
Since the molar mass of carbon dioxide is 44 g / mole, then the following rule of three can be applied: if there are 44 g in 1 mole, how much mass is there in 0.52 moles?
mass= 22.88 g
<u><em>The mass of 3.13*10²³ molecules of carbon dioxide is 22.88 g.</em></u>
Hey there!
One way to do this is find all the factors of 6 and then see which pair fit the requirements.
The factors of 6 are 1, 2, 3, and 6. (Note: There can be negative factors, but I am going to leave them out since it is asking for positive integers.)
You can find them by asking if each number can go into 6.
1, 2, 3, and 6 all go into 6, while 4 and 5 do not.
The requirements we have is that they must be consecutive <u>and</u> have a product of 6.
Consecutive means right after one another.
The only numbers that fit this are 2 and 3.
2 x 3 = 6
Hope this helps!
Answer:
w = 6
RS = 13
Step-by-step explanation:
RS + ST = RT
(2w + 1) + (w - 1) = 18
3w = 18
; w = 6
Hence the value of RS = 2(6) + 1
; RS = 13
AC = AB + BC
56 = (x + 16) + (5x + 10)
56 = 6x + 26....then rearrange the equation to form...;
56 - 26 = 6x
30 = 6x...
where...; x = 5
AB = 5 + 16 and BC = 5(5) + 10
;AB = 21 ;BC = 35
Answer:
The standard deviation for the mean weigth of Salmon is 2/3 lbs for restaurants, 2/7 lbs for grocery stores and 1/4 lbs for discount order stores.
Step-by-step explanation:
The mean sample of the sum of n random variables is
If 
are indentically distributed and independent, like in the situation of the problem, then the variance of 
will be the sum of the variances, in other words, it will be n times the variance of 
.
However if we multiply this mean by 1/n (in other words, divide by n), then we have to divide the variance by 1/n², thus 
and as a result, the standard deviation of 
is the standard deviation of divided by 
.
Since the standard deviation of the weigth of a Salmon is 2 lbs, then the standard deviations for the mean weigth will be:
- Restaurants: We have boxes with 9 salmon each, so it will be
- Grocery stores: Each carton has 49 salmon, thus the standard deviation is
- Discount outlet stores: Each pallet has 64 salmon, as a result, the standard deviation is
We conclude that de standard deivation of the mean weigth of salmon of the types of shipment given is: 2/3 lbs for restaurants, 2/7 lbs for grocery stores and 1/4 lbs for discount outlet stores.
The result of dividing
by
is
with no remainder. Please check the step by step procedures in the picture attached.
We can conclude that:
The quotient of the division is
The remainder of the division is
The divisor is
The dividend is
