Answer:
The probability is 406/625
Step-by-step explanation:
If they are of different materials, we have the following combinations of selection;
(gold and silver) or ( silver and titanium) or (gold and titanium )
The number of earrings present is 13 + 10 + 12 = 25
Probability of selecting a gold earring is 13/25
Probability of a silver is 10/25
Probability of a titanium is 12/25
Substituting these into the probabilities, we have;
(13/25 * 10/25) + (10/25 * 12/25) + (13/25 * 12/25)
= 130/625 + 120/625 + 156/625 = 406/625
Answer:
2,3,4,5
Step-by-step explanation:
Answer: 131,400$
Step-by-step explanation:
The sale for first month is $500.
The sale increases by $10 each month, as modelled by the equation:
a_k=500+(k-1)10
where, k = 1 (first month)
k = 2 (second month)
.... and so on.
we have to calculate the sale for the first 10 years, that means for 10*12 = 120 months (1 year = 12 months)
Total sales = ∑ a_k
∑ a_k = ∑ (500+(k-1)10)
= 500k + ∑ (10k - 10)
= 500k + 10∑k - 10k
= 490k + 10∑k
= 490k + 10 {k*(k+1)/2}
= 490k + 5{k*(k+1)}
= 490k + 5k^2 + 5k
= 5k^2 + 495k
∴∑ a_k = 5k^2 + 495k
For calculating the total sales of 10 years, we will put the value of k = 120 (120th month after the first month)
= 5*(120*120) + 495*120
= 72,000 + 59, 400
= 131,400$
Assuming those lines are parallel, then this means the alternate interior angles are the same measure
3x-26 = 2x
3x-26+26 = 2x+26 ... adding 26 to both sides
3x = 2x+26
3x-2x = 2x+26-2x ... subtracting 2x from both sides
3x-2x = 26
<h3>x = 26 is the answer</h3>
