1.) Convert all measurements to meters:
2.5km * 1,000 = 2,500m ; .250km * 1,000 = 250m ; 2,500cm / 100 = 25m
25,000cm / 100 = 250m ; 250mm / 1,000 = .25m
2.) Compare the converted measurements. Therefore, the quantities that are equivalent to 250m are:
.250km ; 25,000cm
Answer:
Diagram 5: Not adjacent angles
Diagram 6: Not adjacent angles
Diagram 7: Are adjacent angles
Diagram 8: Are adjacent angles
Step-by-step explanation:
In order for angles to be adjacent, they need to have all of three things:
1. Have a common vertex
2. Have a common side
3. Must not overlap
Diagram 5 does not have a common side between angles 1 and 2, so it is not adjacent.
Diagram 6 does not even have angles 1 and 2 connected in any way so it is not adjacent.
Diagrams 7 and 8 have all three conditions, so those diagrams are adjacent.
Using the normal distribution, it is found that approximately 40% of the scores are greater than 413.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean
and standard deviation
is given by:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
In this problem, we have that the mean and the standard deviation of the scores are given by:
![\mu = 400, \sigma = 50](https://tex.z-dn.net/?f=%5Cmu%20%3D%20400%2C%20%5Csigma%20%3D%2050)
Approximately 40% of the scores are greater than the 60th percentile, which is <u>X when Z = 0.253</u>.
Then:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![0.253 = \frac{X - 400}{50}](https://tex.z-dn.net/?f=0.253%20%3D%20%5Cfrac%7BX%20-%20400%7D%7B50%7D)
X - 400 = 50(0.253)
X = 412.65.
Rounding up, approximately 40% of the scores are greater than 413.
More can be learned about the normal distribution at brainly.com/question/24663213
#SPJ1
Answer:
![a^{11}](https://tex.z-dn.net/?f=a%5E%7B11%7D)
Step-by-step explanation:
When you exponent an exponent, you multiply the 2 exponents together:
(a³)² = ![a^{6}](https://tex.z-dn.net/?f=a%5E%7B6%7D)
When you multiply an exponent to another exponent, you add:
![a^{6}(a^{5}) = a^{11}](https://tex.z-dn.net/?f=a%5E%7B6%7D%28a%5E%7B5%7D%29%20%3D%20a%5E%7B11%7D)
Answer:
When we know all 3 sides we use the law of cosines
a = 47
b = 11
c = 38
cos (A) = (b^2+c^2-a^2) / (2bc)
cos (A) = -0.7703349282
Angle A = 140.38
cos (B) = (a^2 + c^2 -b^2) / (2ac)
cos (B) = 0.9888017917
Angle B = 8.5826 degrees
cos (C) = (a^2 + b^2 -c^2) / 2ab
cos (C) = 0.8568665377
cos (C) = 31.033 degrees
Angle W would be the smallest angle so it equals
31.033 degrees or rounded to nearest tenth
31.03
Step-by-step explanation: