The answer is 16 outcomes, there are two possible outcomes per classroom, and there are 8 classrooms
Answer:
(x - 5i)(x + 5i)
Step-by-step explanation:
Write this as x^2 + 25. Solving for x^2, we get x^2 = -25.
Recall that the square root of a negative number is an imaginary one. √(-25) equals ±5i (there are two roots, one positive and one negative).
Then x = ±5i.
In factored form, the given expression is (x - 5i)(x + 5i).
Answer:
First, we need to find how far ahead Marshall was. Since he had been biking at 20 mph for one hour, he had gone 20 miles.
Next, we need to find how long it will take Brett to catch up to Marshall. In order to do this, we need to find how much faster Brett is going than Marshall. We do this by subtracting Marshall's speed from Brett's speed.
60 - 20 = 40. So, Brett is catching up to Marshall at 40 mph. Now, we figure out how long it will take for someone going 40 miles per hour to go 20 miles. We find this by dividing 40 miles per hour by 20. This is equal to 1/2 hour. So, it will take Brett 0.5 hours to catch up to Marshall. This is the same as A, so A is the correct answer.
We can check our answer by seeing how far Marshall and Brett will have gone. Marshall will have been biking for 1.5 hours, so we multiply 20 * 1.5 = 30. Marshall went 30 miles.
Brett drove for .5 hours at 60 mph, so he went 30 miles. Since Brett and Marshall went the same distance, our answer is correct.
Answer: 75%
Step-by-step explanation:
Height given :
69, 62, 73, 67, 63, 65, 73, 71, 70, 66, 59, 75
The total number of height given = 12
The height less than 73 are 69 , 62, 67 ,63 , 65 , 71 , 70 , 66 , 59
The total number of heights less than 73 = 9
Therefore : the percentage of these students who are shorter than 73 inches = total number of students shorter than 73/ total number of height x 100
= 9/12 x 100
= 75%