Answer:
y = 2x - 3
Step-by-step explanation:
Slope intercept equation of a line:
y = mx + b
(0, -3) is the y-intercept, so b = -3
We have
y = mx - 3
Now we use the two points to find the slope.
slope = m = (-3 - 5)/(0 - 4) = -8/(-4) = 2
y = 2x - 3
Answer:
The minimum sample needed to provide a margin of error of 3 or less is 52.
Step-by-step explanation:
The confidence interval for population mean (<em>μ</em>) is:

The margin of error is:

<u>Given:</u>
MOE = 3
<em>σ </em>= 11
The critical value for 95% confidence interval is: 
**Use the <em>z</em>-table for critical values.
Compute the sample size (<em>n</em>) as follows:

Thus, the minimum sample needed to provide a margin of error of 3 or less is 52.
Answer:
a=9
Step-by-step explanation:
a^3 = 729
Taking the cube root of each side
a^3 ^(1/3) = 729^ (1/3)
a = 9
Answer:
The number of possible three-digit phone prefixes that are used to represent a particular geographic area is 640.
Step-by-step explanation:
The phone prefixes used to represent a particular geographic area are a 3 digit code consisting of numbers from 0 to 9.
The prefix code are of the form: <u>x</u> <u>x</u> <u>x</u>
Condition: The first or the second place cannot take values 0 or 1.
Then the first place can be occupied by the remaining 8 digits.
Similarly the second place can also be occupied by the remaining 8 digits.
And the third place can be occupied by any of the 10 digits.
So the number of ways to construct a phone prefix for any area is:

Thus, the number of phone prefixes possible for any area is 640.
The expression that represents the profit is: ( 5x2 + 2x – 80)-(<span>5x2 – x + 100)
Profit can be modeled by polynomial expression: 3x-180
If 1,000 video game systems are sold, the company's profit is: $2,820</span>