Let n be a number of balls: n = 14
In one pan you have 8 balls: 8n
In the other pan you have the rest of balls (14 - 8 = 6) along with a <span>weight of 20 grams = 6n + 20
So the pans are balanced:
8n = 6n + 20
Now, just solve the equation:
8n - 6n = 20
2n = 20
n = 20/2
n = 10
So, you know that a ball weights 10 grams.</span>
If you want to translate the phrase 30 added to a number that is decreased by 5 into a math expression, you can do it like this:
a number ... n
30 added ... + 30
decreased by 5 ... - 5
Now you just have to put this together: n + 30 - 5 or n - 5 + 30. So, the correct result is a.
Could you past the graphs. I would like to help:)
Answer:
Step-by-step explanation:
Given
Regression Equation:
Required
Determine the slope of the regression line
The equation of regression is of the form
Where b represents the slope;
Compare to the given equation
We have that:
Hence; the slope is:
Choosing the first tile:
At first, there are 7 tiles.
You are interested in choosing a 5. There is only one tile with a 5.
p(5) = 1/7
Choosing the second tile:
After the 5 has been taken, now there are 6 tiles left.
Only one tile has the number 6.
p(6) = 1/6
The overall probability of choosing a 6 after a 5 is the product of the individual probabilities:
p( 5 then 6) = 1/7 * 1/6 = 1/42
Answer: The probability of choosing a 5 and then a 6 is 1/42.
