Your steps are to add all of the prices together and then divide by three. Your answer would be $3.50 as an average price.
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%.
Okay, so if Chaz has a balance of -52.00, and Willis has a balance of -59.25, this means that Willis is further into debt. Chaz would be correct to say that Willis owes more money to the bank. The further into the negatives your bank account is, the more money you owe. Willis owes the bank 7.25 more than Chaz owes.
Answer:
Scale factor of ΔXYZ to ΔUVW will be 1/5
Step-by-step explanation:
Since all the angles of ΔXYZ and ΔUVW are equal, both the triangles will be similar.
ΔXYZ ~ ΔUVW
Since both the triangles are similar, ratio of the corresponding sides will be in the same ratio.
![\frac{UV}{XY}=\frac{VW}{YZ}=\frac{UW}{XZ}](https://tex.z-dn.net/?f=%5Cfrac%7BUV%7D%7BXY%7D%3D%5Cfrac%7BVW%7D%7BYZ%7D%3D%5Cfrac%7BUW%7D%7BXZ%7D)
And the scale factor = ![\frac{\text{Side of UVW}}{\text{Side of XYZ}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BSide%20of%20UVW%7D%7D%7B%5Ctext%7BSide%20of%20XYZ%7D%7D)
= ![\frac{UV}{XY}](https://tex.z-dn.net/?f=%5Cfrac%7BUV%7D%7BXY%7D)
= ![\frac{12}{60}](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B60%7D)
= ![\frac{1}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7D)
Therefore, scale factor of ΔXYZ to ΔUVW will be 1/5
Answer:
1.Line III is A, Line I is B, Line II is C; 2. 20 represents the Y-intercept, The 2 represents the slope