If you are doing it by factoring then the answer would be y^1(28x^2y^2-5)
Answer:
The percent of students who scored below 62 is 2.3%.
Step-by-step explanation:
In statistics, the 68–95–99.7 rule, also recognized as the empirical rule, is used to represent that 68.27%, 95.45% and 99.73% of the values of a Normally distributed data lie within one, two and three standard deviations of the mean, respectively.
Then,
- P (-1 < Z < 1) ≈ 0.6827
- P (-2 < Z < 2) ≈ 0.9545
- P (3 < Z < 3) ≈ 0.9973
Given:
μ = 78
σ = 8
<em>X</em> = 62
Compute the distance between the value of <em>X</em> and <em>μ</em> as follows:
![z=\frac{x-\mu}{\sigma}=\frac{62-78}{8}=-2](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%3D%5Cfrac%7B62-78%7D%7B8%7D%3D-2)
Use the relation P (-2 < Z < 2) ≈ 0.9545 to compute the value of P (Z < -2) as follows:
![P(-2](https://tex.z-dn.net/?f=P%28-2%3CZ%3C2%29%3D0.9545%5C%5CP%28Z%3C2%29-P%28Z%3C-2%29%3D0.9545%5C%5C1-P%28Z%3C-2%29-P%28Z%3C-2%29%3D0.9545%5C%5C2P%28Z%3C-2%29%3D1-0.9545%5C%5CP%28Z%3C-2%29%3D%5Cfrac%7B0.0455%7D%7B2%7D%5C%5C%3D0.02275)
The percentage is, 0.02275 × 100 = 2.275% ≈ 2.3%
Thus, the percent of students who scored below 62 is 2.3%.
Answer:
![\boxed{Hypotenuse = 50}](https://tex.z-dn.net/?f=%20%5Cboxed%7BHypotenuse%20%3D%2050%7D%20)
Step-by-step explanation:
By applying <em>Pythagoras theorem</em> we can find hypotenuse of a right angle triangle.
Side of right angle triangle (a) = 48 cm
Side of right angle triangle (b) = 14 cm
Hypotenuse² = a² × b²
![{Hypotenuse}^{2} = {48}^{2} \times {14}^{2} \\ \\ {Hypotenuse}^{2} = 2304 + 196 \\ \\ {Hypotenuse}^{2} = 2500 \\ \\ {Hypotenuse}^{ \cancel{2}} = {50}^{ \cancel{2}} \\ \\ Hypotenuse = 50](https://tex.z-dn.net/?f=%20%7BHypotenuse%7D%5E%7B2%7D%20%20%3D%20%20%7B48%7D%5E%7B2%7D%20%20%5Ctimes%20%20%7B14%7D%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%20%7BHypotenuse%7D%5E%7B2%7D%20%20%3D%202304%20%2B%20196%20%5C%5C%20%20%5C%5C%20%20%7BHypotenuse%7D%5E%7B2%7D%20%20%3D%202500%20%5C%5C%20%20%5C%5C%20%20%7BHypotenuse%7D%5E%7B%20%5Ccancel%7B2%7D%7D%20%20%3D%20%20%7B50%7D%5E%7B%20%5Ccancel%7B2%7D%7D%20%20%5C%5C%20%20%5C%5C%20%20%20Hypotenuse%20%3D%2050)
W=6g-40 is the correct answer:)
Answer:
false
Step-by-step explanation: