4x-5y=3
4x-5(10)=3
4x-50=3
+50 +50
4x=53
/4 /4
x=53/4
Answer:
Step-by-step explanation:
2012 = 2500
2500 x .50 = 1250
2500 + 1250
2013 = 3750
3750 x .50 =
3750 + 1875
2014 = 5625
5625 x .50 = 2812.5
5625 + 2812.5
2015= 8437.5
8437.5 x .50 = 4218.75
8437.5 + 4218.75
2016= 12656.25
12656.25 x .50 = 6328.125
12656.25 + 6328.125
2017= 18984.375
18984.375 x .50 = 9492.1875
18984.375 + 9492.1875
2018= 28,476.5625
To do this, complete the square:
p(x) = 21 + 24x + 6x2 => <span>p(x) = 6x2 + 24x + 21
Rewrite the first 2 terms as
6(x^2 + 4x)
then you have </span><span>p(x) = 6(x2 + 4x ) + 21
Now complete the square of x^2 + 4x:
p(x) = 6(x^2 + 4x + 4 - 4) + 21
= 6(x+2)^2 - 24 + 21
p(x) = 6(x+2)^2 - 3 this is in vertex form now.
We can read off the coordinates of the vertex from this: (-2, -3)</span>
Answer:
The probability that the center will have enough employees to handle this call volume is 0.2764
Step-by-step explanation:
Probability is defined as the ratio of favorable outcomes to the total number of outcomes.
Here the total mean expected number of outcomes=u = 4000
The favorable expected outcomes are = x= 22* 178= 3916
The standard deviation= σ= 5
The random variable X =178 has normal distribution with mean 4000/22 and standard deviation 5
So z= x-u/σ
Z= (3916-4000)/22/5
z= -0.764
From the table of areas under normal curve
P ( x= 3916)= P( -0.764 ≤ Z≤ 0)
P ( x= 3916)= 0.2764
The probability that the center will have enough employees to handle this call volume is 0.2764
Answer:
1/5
Step-by-step explanation:
forward 5 units and up 1
