Total: 318
Student tickets: x
Adult tickets: 3x+6
x+(3x+6)=318 -> 4x+6=318 -> 4x=312 -> x=78
3(78)+6 = 234+6 = 240
240 adult tickets were sold
Answer:
a. y = 2+4.3x when x = -6
substituting value of x, we get
<u>y=2+4.3*-6=2-25.8=23.8</u>
b. y = (x-3)² when x = 9
substituting value of x, we get
<u>y</u><u>=</u><u>(</u><u>9</u><u>-</u><u>3</u><u>)</u><u>²</u><u>=</u><u>6</u><u>²</u><u>=</u><u>3</u><u>6</u>
c. y=x-2 when x = 3.5
substituting value of x, we get
<u>y</u><u>=</u><u>3</u><u>.</u><u>5</u><u>-</u><u>2</u><u>=</u><u>1</u><u>.</u><u>2</u>
d. y=5x-4 when x = - 2
substituting value of x, we get
<u>y</u><u>=</u><u>5</u><u>*</u><u>-</u><u>2</u><u>-</u><u>4</u><u>=</u><u>-</u><u>1</u><u>0</u><u>-</u><u>4</u><u>=</u><u>-</u><u>1</u><u>4</u>
Answer:
A. Margin of error = 128.79
B. The 99% confidence interval for the population mean is (7661.21, 7918.79).
Step-by-step explanation:
We have to calculate a 99% confidence interval for the mean.
The population standard deviation is know and is σ=500.
The sample mean is M=7790.
The sample size is N=100.
As σ is known, the standard error of the mean (σM) is calculated as:

The z-value for a 99% confidence interval is z=2.576.
The margin of error (MOE) can be calculated as:

Then, the lower and upper bounds of the confidence interval are:

The 99% confidence interval for the population mean is (7661.21, 7918.79).
The approximate circumference of the circle with the diameter of 300 feet, would be C. 942 feet. Since C = Pi • diameter = 3.14 • 300 which would be about 942 feet.
Answer:
y - 9 = -8(x + 2)
Step-by-step explanation:
What is the equation in point-slope form for the line parallel to y=-8x - 5 that contains j(-2, 9)
Step 1
y intercept =
y = mx + b
y=-8x - 5
m = -8, b = -5
Point slope form
y - y1 =m( x - x1)
We are given coordinates:
j(-2, 9) = (x1, y1) where ,
x1 = -2
y1 = 9
Hence, our point slope form equation is:
y - 9 = -8(x -(-2))
y - 9 = -8(x + 2)