<em>C</em>
Approximately 95% of data falls within 2 standard deviations (±2) of the mean.
<em>Explanation</em>
According to the empirical rule of normal distribution:
Approximately 68% of the data falls within ±1 standard deviation of the mean
2. Approximately 95% of the data falls within ±2 standard deviations of the mean
3. Approximately 99.7% of the data falls within ±3 standard deviations of the mean.
Therefore, among the given options, only option C adheres to the empirical rule of the normal distribution. Therefore, the option C is correct
Answer:
B
Step-by-step explanation:
![\sqrt[4]{2x^2} *\sqrt[4]{2x^3} =(2x^2)^{1/4}*(2x^3)^{1/4}\\= 2^{1/4}*(x^2)^{1/4} *2^{1/4} * (x^3)^{1/4}\\](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B2x%5E2%7D%20%2A%5Csqrt%5B4%5D%7B2x%5E3%7D%20%3D%282x%5E2%29%5E%7B1%2F4%7D%2A%282x%5E3%29%5E%7B1%2F4%7D%5C%5C%3D%202%5E%7B1%2F4%7D%2A%28x%5E2%29%5E%7B1%2F4%7D%20%2A2%5E%7B1%2F4%7D%20%2A%20%28x%5E3%29%5E%7B1%2F4%7D%5C%5C)
combine like terms
these steps use exponent laws
a few key ones i used:
(x^y^z) = x^(y*z)
x^y * x^z = x^(y+z)
let me know if you have any questions!
Answer:
C. 4x + 1.
Step-by-step explanation:
(5x+3)-(x+2) First remove the parentheses. Remember to distribute the negative over the second one:
= 5x + 3 - x - 2 Bring like terms together:
= 5x - x + 3 - 2 Simplify like terms:
= 4x +1.
Answer:
498,173.26
Step-by-step explanation:
Answer: D. The area is 50 square meters if the shaded area looks like .
Explanation:
assuming this is a rectangle, the larger region area is 15*5= 75 square meters.
The smaller region’s area would be 10*5= 50 square meters.
• remember that A=lw, where l is length and w is width.
Without an illustration & on the assumption this is a rectangular region, here are the conclusions:
• given these two areas,
If the shaded area looks like , the area is just 50 square meters because the dimensions needed to solve for the area were given.
OR
• If the shaded region looks like subtract the smaller area from the larger one: 75-50= 25 square meters. (However, given that this is not an answer choice, I don’t think the illustration would look like this).
