15. juanita has a bag of marbles. without looking, she removes one marble, notes the color, and replaces it. she repeats this process 70 times and records the results in the table below. red 14 green 19 blue 21 yellow 16

Your question is incomplete and here is the complete question

"Juanita has a bag of marbles. Without looking, she removes one marble, notes the color, and replaces it. She repeats this process 70 times and records the results in the table below. Red 14 Green 19 Blue 21 yellow 16 . What is probability that she will pick a blue marble on her seventy -first try ?"

Hope this is your question, if not I think you will, still be able to find an answer of your question based on this solution

Since she replaces marble every time she picks so number of total marbles for 71st try will be same 14+ 19 + 21 + 16 = 70.

Now out of total 70 marbles, 21 are blue marbles.

Probability of an event is given by formula:

------(1)

Here number of favorable events (getting blue marble) will be 21

and total number of events (total marbles) will be 70

So on plugging these values in formula given by (1) we get

We can reduce this fraction as there is common factor 7 in 21 and 70.

So simply divide numerator and denominator by 7 as shown

So thats the final probability answer for getting blue marble

Hope this helps!!

2(2x - 5)(2x + 5)

Step-by-step explanation:

First pull out 2.

2

We can see each is a square after pulling out 2.

square root of 4 is 2 and square root of 25 is 5. Because the we have - 25 we know we have opposite signs, two - would make a positive, and two + would also make a positive, and the middle wouldn't cancel out. So we have:

2(2x - 5)(2x +5)

Let's check our work. Focus on the ( ) first.

2(2x - 5)(2x + 5)

2x * 2x + 2x * 5  - 5 * 2x - 5 * 5

4 + 10x - 10x - 25

4 - 25      Can't forget to multiply by 2!

2 (4 - 25 )

8 - 50