Answer:
y = 2x + 2
Step-by-step explanation:
First solve for the slope using 
= 2
Plug the slope into the slope intercept form equation y = mx + b
y = 2x + b
To solve for b, plug in any (x, y) point on the table.
2 = 2(0) + b
2 = b
Now you can plug the b value into your equation.
y = 2x + 2
Given:
Confidence level = 90%
mean = 71 beats per minute
standard deviation = 6 beats per minute
margin of error = z * δ / √n
where : δ - population of the standard deviation, n is the sample size ; z is the appropriate z value.
90% confidence level = 1.645 in z-value
margin of error = 1.645 * (6/√80) = 1.645 * (6/8.94) = 1.645 * 0.671 = 1.104
The margin of error is 1.10
Answer:
(x) = 6 - 4x
Step-by-step explanation:
let y = f(x) and rearrange making x the subject
y = -
x +
( multiply through by 4 to clear the fractions )
4y = - x + 6 ( subtract 6 from both sides )
4y - 6 = - x ( multiply through by - 1 )
- 4y + 6 = x
Change y back into terms of x with x =
(x) , then
(x) = 6 - 4x
Answer:
324 km²
Step-by-step explanation:
The prism shown is a square pyramid
The volume of a square pyramid can be calculated by using this formula

where l = length of base, w = width of base and h = height
We are given the following dimensions...
length of base = 9 km
width of base = 9 km
height = 12 km
To find the volume of the pyramid, we plug in these given values into the formula
Hence,

V = 324
Answer:
Janine is 28. Ingrid is 30.
Step-by-step explanation:
Let the ages be x and x + 2 for Janine and her sister, respectively.
x/7 + (x + 2)/3 = 14
Multiply both sides by the LCD, 21, to get rid of denominators.
21 * x/7 + 21 * (x + 2)/2 = 21 * 14
3x + 7(x + 2) = 294
3x + 7x + 14 = 294
10x = 280
x = 28
x + 2 = 30
Answer: Janine is 28. Ingrid is 30.