Answer
8 is not greater than 10
Step-by-step explanation:
2x>10
2(4)>10
8<10
x=4 can not be the solution to this equation because 8 is less than 10
*just as a side note think of the > sign as an alligator, the mouth always is open towards the larger number
The given equation is
where h is the height, in feet, of a ball and t is the time, in seconds.
<u>Part a: The height of the ball when t = 2 seconds:</u>
The height of the ball above the ground 2 seconds after it is released can be determined by substituting t= 2 in the equation
, we get;
![h(2)=-16(2)^2+80(2)+4](https://tex.z-dn.net/?f=h%282%29%3D-16%282%29%5E2%2B80%282%29%2B4)
Simplifying the terms, we get;
![h(2)=-64+160+4](https://tex.z-dn.net/?f=h%282%29%3D-64%2B160%2B4)
![h(2)=100](https://tex.z-dn.net/?f=h%282%29%3D100)
Thus, the height of the ball after 2 seconds is 100 feet.
<u>Part b: The height of the ball when t = 4 seconds:</u>
The height of the ball above the ground 4 seconds after it is released can be determined by substituting t = 4 in the equation
, we get;
![h(4)=-16(4)^2+80(4)+4](https://tex.z-dn.net/?f=h%284%29%3D-16%284%29%5E2%2B80%284%29%2B4)
Simplifying the terms, we get;
![h(4)=-256+320+4](https://tex.z-dn.net/?f=h%284%29%3D-256%2B320%2B4)
![h(4)=68](https://tex.z-dn.net/?f=h%284%29%3D68)
Thus, the height of the ball after 4 seconds is 68 feet.
Answer:
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
The Interquartile Range (IQR) is a more robust measure of variability because it excludes outliers from the distribution. Due to this fact, the IQR works with only 50% of the central data excluding the outlying values in the data set from its calculation.
The variance is affected by outliers, and the Range is way more affected by only the first and the last observation.
So, yes the IQR is the least influenced. Therefore, a more robust measure of variability.
Answer:
42
Step-by-step explanation:
7/8 = x / 48
We need to get a common denominator
Multiply the left side by 6
7/8 *6/6 = x/48
42/48 = x/48
Since the denominators are equal, the numerators must be equal
42 =x