Turn them both into mixed fractions and voila
Step-by-step explanation:
A notable ______ of the symposium was the speech by a famous entrepreneur.
9514 1404 393
Answer:
y = 4x +3
Step-by-step explanation:
The slope formula can be used to find the slope:
m = (y2 -y1)/(x2 -x1)
Using the first two lines of the table, we find the slope to be ...
m = (11 -7)/(2 -1) = 4/1 = 4
__
The y-intercept can be found from the relation ...
b = y -mx
Using the slope we found, and the first line of the table, we find the intercept to be ...
b = 7 -4(1) = 3
__
Then the equation is ...
y = mx +b . . . . . . slope-intercept form of the equation for a line
y = 4x +3
Answer:
The interval 52% to 58% is based on a procedure that includes the true population value 95% of the time.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
95% confidence
We are 95% sure that the interval contains the true mean/proportion, and thus, the correct option is:
The interval 52% to 58% is based on a procedure that includes the true population value 95% of the time.
Let's make some variables to represent the cost of the tables and chairs.
Let x be equal to the cost of one chair
Let y be equal to the cost of one table
The total cost for 3 chairs and 2 tables is $17.
3x + 2y = 17
The total cost for 8 chairs and 4 tables is $37.
8x + 4y = 37
Now we have our system of equations.
Let's solve it.
3x + 2y = 17
8x + 4y = 37
We can cancel the y's very easily. Then it would just leave us with the x's.
Multiply the top equation by -2.
3x(-2) + 2y(-2) = 17(-2) =
-6x - 4y = -34
Then add the equations together.
-6x - 4y = -34
8x + 4y = 37
=
2x = 3
Then just divide both sides by 2.
x = 1.5
Substitute 1.5 into one of the equation. I'll pick 3x + 2y = 17
3(1.5) + 2y = 17 ; Start
4.5 + 2y = 17 ; Multiply 3 and 1.5 together
2y = 12.5 ; Subtract 4.5 from each side of the equation
y = 6.25 ; Divide both sides by the coefficient of y. Which 2
So, a chair costs $1.50 and a table costs $6.25.
