Answer:
The value of 7 in 678,901 is 10 times greater than the value of 7 in 67,890
Step-by-step explanation:
step 1
we have
678,901
Write in expanded form
678,901=600,000+70,000+8,000+900+1
The value of 7 is 70,000
step 2
we have
67,890
Write in expanded form
67,890=60,000+7,000+800+90
The value of 7 is 7,000
step 3
Divide 70,000 by 7,000
therefore
The value of 7 in 678,901 is 10 times greater than the value of 7 in 67,890
Time to run 1 mile * number of miles run must be 30 minutes or less
Time to run a mile is 8
Used m = number of miles ran
8m <= 30
<= is less than or equal to
Answer:
Step-by-step explanation:
For this case we want to find the density function for 
And we have the following density function for the random variable X:
So we can do this replacing 
If we apply square root on both sides we got:
And if we integrate we got this:
![F_Y (y) = [t+ \frac{t^2}{2}] \Big|_{-\sqrt{y}}^0+ [t -\frac{t^2}{2}] \Big|_{0}^{\sqrt{y}}](https://tex.z-dn.net/?f=%20F_Y%20%28y%29%20%3D%20%5Bt%2B%20%5Cfrac%7Bt%5E2%7D%7B2%7D%5D%20%5CBig%7C_%7B-%5Csqrt%7By%7D%7D%5E0%2B%20%5Bt%20-%5Cfrac%7Bt%5E2%7D%7B2%7D%5D%20%5CBig%7C_%7B0%7D%5E%7B%5Csqrt%7By%7D%7D%20)
And replacing we got:
![F_Y (y) = [0 -(-\sqrt{y} +\frac{y}{2})] + [\sqrt{y} -\frac{y}{2}]](https://tex.z-dn.net/?f=%20F_Y%20%28y%29%20%3D%20%5B0%20-%28-%5Csqrt%7By%7D%20%2B%5Cfrac%7By%7D%7B2%7D%29%5D%20%2B%20%5B%5Csqrt%7By%7D%20-%5Cfrac%7By%7D%7B2%7D%5D)
And if we want to find the density function we just need to derivate the pdf like this:
Use the quadratic formula where a = -16, b = 175 and c = 500 to find t. See picture for quadratic formula.
The hole is x+4=0 because (x+4) is canceling out so the hole x=-4
Hopes this loves.
