Answer:
We can use excel regression data analysis tool to find the equation of the regression line that best fits the data.
The excel output is attached here.
Therefore, the equation of the linear regression is:
Where:
21.9028 is the intercept and 1.5736 is the slope.
18/20=27/x
18x=27*20
x=(27*20)/18=30
Answer: 30
Answer:
A = 0.75 gram or 1 gram
Step-by-step explanation:
The half-life of carbon 14 is years. How much would be left of an original -gram sample after 2,292 years? (To the nearest whole number).
We can use the following formula for half-life of 
to find out how much is left from the original sample after 2,292 years:
where:
<em>A</em> is the amount left of an original gram sample after <em>t</em> years, and
is the amount present at time <em>t</em> = 0.
The half-life of is the time <em>t</em> at which the amount present is one-half the amount at time <em>t </em>= 0.
If 1 gram of is present in a sample,
Solve for A when t = 2,292:
Substituting = 1 gram into the decay equation, and we have:
A = 0.75 g or 1 g
Answer:
This recipe makes 18 shortbread fingers.
Rose follows this recipe, but only wants to make 6 fingers.
How much of each ingredient does she need?
Recipe: Makes 18
120 g butter
60 g sugar
180 g flour
Let the price of a student ticket be t. That makes the price of an adult ticket t + 3, as adult tickets are three more dollars than student tickets. Now we have:
student ticket = t
adult ticket = t + 3
To model the scenario that Mr. Williams bought 7 student tickets and 6 adult tickets, set the sum of the products of those numbers and the ticket costs equal to 83 (the cost of all tickets combined) and solve algebraically for t.
83 = 7t + 6(t + 3)
83 = 7t + 6t + 18
83 = 13t + 18
65 = 13t
5 = t
Remember, t represents the cost of one student ticket, thus one student ticket costs 5 dollars, and one adult ticket costs 5 + 3 dollars or 8 dollars.
Answer:
The price of one adult ticket is $8.
