A quality control officer is randomly checking the weights of pumpkin seed bags being filled by an automatic filling machine. Ea
2 answers:
Answer:
Step-by-step explanation:
The range of rejected bags is found by summing and subtracting the 400 grams to 2.1 grams, because the second one represent the acceptable margin.
So, we have:
However, this interval represents the accepted range. The rejected range would be the opposite. Therefore, the asked range is:
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Answer:
9.4339 units
Step-by-step explanation:
Here we are given with two coordinates and asked to determine the distance between them.
Here we are going to use the distance formula, which is given as under
Where
Replacing these values in the distance formula
Hence the distance is 9.4339 units
Eight *(a number) plus 5*(another number) is -13.
translates to:
8(x) + 5(y) = -13
The sum of (the number) and (the other number) is 1.
translates to:
(x) + (y) = 1
We have a system of two equations involving two unknowns: x and y.
We can easily solve the system using Substitution or Elimination. Let's use Elimination this time.
We'll multiply the second equation by -8 so that the x's match up.
When we add the equations together, the x's will fall out of the equation, summing to zero. The 5y and -8y will sum to -3y and the right hand side will sum to -21.
Divide by -3,
Plug back into one of your original equations to find the value of x,
Subtract 7,
translates to:
8(x) + 5(y) = -13
The sum of (the number) and (the other number) is 1.
translates to:
(x) + (y) = 1
We have a system of two equations involving two unknowns: x and y.
We can easily solve the system using Substitution or Elimination. Let's use Elimination this time.
We'll multiply the second equation by -8 so that the x's match up.
When we add the equations together, the x's will fall out of the equation, summing to zero. The 5y and -8y will sum to -3y and the right hand side will sum to -21.
Divide by -3,
Plug back into one of your original equations to find the value of x,
Subtract 7,