Answer: 24.49 or 24.5 if rounded.
Step-by-step explanation: We have to use the pythagorean theorem of course...
a² + b² = c²
15² + 20² = c²
225 + 400 = c²
600 = c²
c = 24.49 (If we round to the nearest tenth then the answer is 24.5)
Answer:
The null hypothesis is 
.
The alternative hypothesis is 
Step-by-step explanation:
Suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is 2.5 years.
At the null hypothesis, we test if the mean is of 2.5 years, that is:
A study was then done to see if the mean time has increased in the new century.
At the alternative hypothesis, we test if the mean has increased, that is, if it is above 2.5 years. So
A two digit number has a tens digit and a ones digit.
Let's say x = tens digit and y = ones digit
"The sum of the digits is 5"
x + y = 5
The next phrase is "the number multiplied by 3 is 42" but we need to represent the number using the digits. So they need to be multiplied first by their place value and added together. [Example: 34 = 3(10) + 4(1)]
The number is: 10x + y
3(10x + y) = 42
The system of equations: (two equations for two unknowns)
x + y = 5
30x + 3y = 42
Then you can use substitution or elimination to combine and solve.
I'll use elimination, multiply the entire top equation by -3 and add the equations together. y will cancel out
-3x - 3y = -15
30x + 3y = 42
------------------
27x + 0 = 27
x = 1
then plug x = 1 into either equation to find y
1 + y = 5
y = 4
remember the x and y represent digits so the number xy is 14
Answer:
3+sqrt(13/2)
3-sqrt(13/2)
Step-by-step explanation:
2 (x-3) ^2 =13
Divide each side by 2
2/2 (x-3) ^2 =13/2
(x-3) ^2 =13/2
Take the square root of each side
sqrt((x-3) ^2) =±sqrt(13/2)
x-3 = ±sqrt(13/2)
Add 3 to each side
x-3+3 = 3±sqrt(13/2)
x = 3±sqrt(13/2)
You have to find two definite points on the graph, i'll use (1,4) and (2,6) as an example
The slope formula is (y2-y1)/(x2-x1)
This means you have to subtract the first y value from the second divide it by the first x value subtracted from the second
In my example you have to do (6-4)/(2-1) to get 2/1, or 2
Hope this helps!
