Answer:
The correct equation in terms of s is: 4s=260
- The number of strawberry ice cream produced per day, s=65.
- The number of chocolate ice cream produced per day ,c=130.
- The number of vanilla ice cream produced per day ,v=85.
Step-by-step explanation:
Let the number of containers of strawberry ice cream produced per day=s
Let the number of containers of vanilla ice cream produced per day=v
Let the number of containers of chocolate ice cream produced per day=c
Total Number of Ice Cream Containers=280
Given:
The factory produces twice as much chocolate ice cream as strawberry ice cream. This is written as:
The factory produces 20 more containers of vanilla ice cream than strawberry ice cream. This is written as:
Therefore substituting c=2s and v=s+20 into the first equation: s+v+c=280
s+s+20+2s=280
4s=280-20
4s=260
Divide both sides by 4
s=65
The number of strawberry ice cream produced per day is 65.
The number of chocolate ice cream produced per day =2s=2(65)=130.
The number of vanilla ice cream produced per day =s+20=65+20=85.
Since 9 is a factor of an unknown number, that means that that number has to be a multiple of 9. If 9 is the factor of something then that something HAS to be a multiple of 9.
Sqrt(5u + 2) = sqrt(3u + 14)
Square both sides to clear the square root.
5u + 2 = 3u + 14
subtract 3u from both siides
2u + 2 = 14
subtract 2 from both sides
2u = 12
divide both sides by 2
u = 6
When you square a square root you MUST check the solution.
sqrt(5*6 + 2) = sqrt(3*6 + 14)
sqrt(32) = sqrt(32)
Answer:
Step-by-step explanation:
Let us consider the equation
For a quadratic equation in a standard form, 
, the axis of symmetry is the vertical line 
.
Here in this case we have, 
Putting the values we get,
We can see that the axis of symmetry is x=3 and the graph is giving minimum at x=3.
Therefore, the required equation is . Refer the image attached.
Answer: The probability that the avg. salary of the 100 players exceeded $1 million is approximately 1.
Explanation:
Step 1: Estimate the standard error. Standard error can be calcualted by dividing the standard deviation by the square root of the sample size:
So, Standard Error is 0.08 million or $80,000.
Step 2: Next, estimate the mean is how many standard errors below the population mean $1 million.
-6.250 means that $1 million is siz standard errors away from the mean. Since, the value is too far from the bell-shaped normal distribution curve that nearly 100% of the values are greater than it.
Therefore, we can say that because 100% values are greater than it, probability that the avg. salary of the 100 players exceeded $1 million is approximately 1.
