Answer:
a
Step-by-step explanation:
it can be solved
(3)(17.25) = 51.75; he spent $51.75
Because everything in the problem is positive, no negative numbers are needed.
x is less than or equal to -4 or x is greater than or equal to 5
x <= -4 or x>= 5
There is no intersection of both inequalities when we graph it in number line So, we write the interval notation separately for each inequality
for x<=-4 , x starts at -4 and goes to -infinity because we have less than symbol. Also we have = sign so we use square brackets
Interval notation is (-∞ , -4]
for x>= 5 , x starts at 5 and goes to infinity because we have greater than symbol. Also we have = sign so we use square bracket at 5
Interval notation is [5 , ∞)
Now combine both notation by a 'U' symbol Union
(-∞ , -4] U [5 , ∞)
Answer:
n = 61 costumers
Step-by-step explanation:
For calculating the number of costumers he should sample we use the next equation:
![n = \frac{z_{1-\alpha/2}^{2}p(1-p)}{E^{2} }](https://tex.z-dn.net/?f=n%20%3D%20%5Cfrac%7Bz_%7B1-%5Calpha%2F2%7D%5E%7B2%7Dp%281-p%29%7D%7BE%5E%7B2%7D%20%7D)
Where E is the error that we are prepared to accept, in this case E = 0.15
How we don't know the value of p, we can estimate it like p = 0.5
∝ = 1-0.98 = 0.02
1-∝/2 = 0.99
![z_{0.99} = 2.33](https://tex.z-dn.net/?f=z_%7B0.99%7D%20%3D%202.33)
![n = \frac{(2.33^{2})(0.5)(1-0.5)}{0.15^{2} }](https://tex.z-dn.net/?f=n%20%3D%20%5Cfrac%7B%282.33%5E%7B2%7D%29%280.5%29%281-0.5%29%7D%7B0.15%5E%7B2%7D%20%7D)
n = 60.32 costumers
n ≈ 61 costumers
Answer:
(42, 0)
Step-by-step explanation:
Since we know the slope and y-intercept we can write the equation of the line in slope-intercept form which is y = mx + b; therefore, the equation is y = -3/7x + 18. To find the x-intercept, we just plug in y = 0 which becomes:
0 = -3/7x + 18
-18 = -3/7x
x = 42