Answer:
Finally, Now that we can solve oblique triangles and find their area, we turn to ... At a point 40 feet from the tree (on the side closest to the lean), the ... Example 26) Two markers A and B are on the same side of a river are 58 feet apart. A third ... Example 27) A hot air balloon is hovering over Valley Forge. ... start loolain 1.91.
Step-by-step explanation:
Answer:
0.006 is the probability that the record will be broken in next year.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 62 seconds
Standard Deviation, σ = 0.8 seconds
We are given that the distribution of face time is a bell shaped distribution that is a normal distribution.
Formula:
The record will be broken if the time is less than 60 seconds.
P(time is less than 60 seconds)
P(x < 60)
Calculation the value from standard normal z table, we have,
![P(x < 60) =0.006 = 0.6\%](https://tex.z-dn.net/?f=P%28x%20%3C%2060%29%20%3D0.006%20%3D%200.6%5C%25)
Thus, 0.006 is the probability that the record will be broken in next year.
Answer:
The perimeter of the other polygon is ![34\ m](https://tex.z-dn.net/?f=34%5C%20m)
Step-by-step explanation:
we know that
If two figures are similar, then the ratios of its perimeter is equal to the scale factor
Let
z---> the scale factor
x----> the perimeter of the other polygon
y----> the perimeter of the larger polygon
so
![z=\frac{x}{y}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx%7D%7By%7D)
we have
![z=\frac{2}{5}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B2%7D%7B5%7D)
![y=85\ m](https://tex.z-dn.net/?f=y%3D85%5C%20m)
substitute and solve for x
![y=85*(2/5)=34\ m](https://tex.z-dn.net/?f=y%3D85%2A%282%2F5%29%3D34%5C%20m)
Answer:
D sentence 5
Step-by-step explanation:
Answer:
The score separating the bottom 47% from the top 53% is 112.8
Step-by-step explanation:
Let <em>X</em> denote the random variable whose values are normal with a mean of 114.5 and a standard deviation of 23.
Compute the 47th percentile as follows:
![P(X](https://tex.z-dn.net/?f=P%28X%3Cx%29%3D0.47%5C%5C%5C%5CP%28%5Cfrac%7BX-%5Cmu%7D%7B%5Csigma%7D%3C%5Cfrac%7Bx-114.5%7D%7B23%7D%29%3D0.47%5C%5C%5C%5CP%28Z%3Cz%29%3D0.47)
The corresponding <em>z</em>-value is,
<em>z</em> = -0.075
*Use the <em>z</em>-table.
Compute the value of <em>x</em> as follows:
![\frac{x-114.5}{23}=-0.075\\\\x=114.5-(0.075\times 23)\\\\x=112.775\\\\x\approx 112.8](https://tex.z-dn.net/?f=%5Cfrac%7Bx-114.5%7D%7B23%7D%3D-0.075%5C%5C%5C%5Cx%3D114.5-%280.075%5Ctimes%2023%29%5C%5C%5C%5Cx%3D112.775%5C%5C%5C%5Cx%5Capprox%20112.8)
Thus, the score separating the bottom 47% from the top 53% is 112.8