Hey there! :)
Answer:
a) 32 sticks.
b) 5n + 2 sticks.
Step-by-step explanation:
Solve this by finding the pattern.
Pattern # 1 = 7 sticks.
Pattern #2 = 12 sticks
Pattern #3 = 17 sticks.
We can see an increase of 5 sticks within each. We can use this to write an equation:
f(n) = 7 + 5(n-1)
***Where n is the term number
You can simplify the equation to become:
f(n) = 7 + 5n - 5
f(n) = 5n + 2.
Use this equation to solve for pattern # 6:
f(6) = 7 + 5(n-1)
f(6) = 7 + 5(5)
f(6) = 7 + 25
f(6) = 32.
Answer:
Step-by-step explanation:
We are looking for P(58 < x < 64). We need to find the percentage to the left of the z-scores for each of these numbers. To find the z scores, use the formula:
which gives us a z-score of -1. The percentage of numbers to the left of a z-score of -1 is .1586553
Now for the other z-score:
which gives us a z-score of .5. The percentage of numbers to the left of a z-score of .5 is .69146246
The lower percentage subtracted from the higher gives the area in question:
.69146246 - .1586553 = .53280716, or as a percentage, 53.3%, choice A.
Answer:
k=7
Step-by-step explanation:
Add 15 to both sides, -8+15=7
So, K=7
Answer:
If we have a system of linear equations:
y = a*x + b
y = c*x + d
And the graphs of the equations are the same line, this means that both lines have the same equation, then:
a = c and b = d.
Then we have only one equation (but repeated) and two variables, then we have infinite solutions for our system.
Another way to see this is:
When we have a system of linear equations, the solution is the point where the lines intersect.
But if both lines are the same line, then the lines intersect in infinite points, then we have infinite solutions.
Answer:
8.04
Step-by-step explanation:
If the last digit in 8.041 is less than 5, then remove the last digit.
I hope this helps!
