Answer:
<h2>
140°</h2>
solution,
Let <DEF= x°
<CDE= 2x°
<BAF= 90°
The sum of interior angle of hexagon= 720°
<A + <B + <C + <D + <E +<F = 720°
![90 + 145 + 115 + 2x + x + 160 = 720 \\ 510 + 3x = 720 \\3x + 510 = 720 \\ 3x + 510 - 510 = 720 - 510 \\ 3x = 210 \\ \frac{3x}{x} = \frac{210}{3} \\ x = 70 \: degree](https://tex.z-dn.net/?f=90%20%2B%20145%20%2B%20115%20%2B%202x%20%2B%20x%20%2B%20160%20%3D%20720%20%5C%5C%20510%20%2B%203x%20%3D%20720%20%5C%5C3x%20%2B%20510%20%3D%20720%20%5C%5C%203x%20%2B%20510%20-%20510%20%3D%20720%20-%20510%20%5C%5C%203x%20%3D%20210%20%5C%5C%20%20%5Cfrac%7B3x%7D%7Bx%7D%20%20%3D%20%20%5Cfrac%7B210%7D%7B3%7D%20%20%5C%5C%20x%20%3D%2070%20%5C%3A%20degree)
Again,
![< \: cde = 2x \\ \: \: \: \: \: \: \: \: \: \: \: \: = 2 \times 70 \\ \: \: \: \: \: \: \: \: \: \: \: \: = 140 \: degree](https://tex.z-dn.net/?f=%20%3C%20%5C%3A%20cde%20%3D%202x%20%5C%5C%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%3D%202%20%5Ctimes%2070%20%5C%5C%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%3D%20140%20%5C%3A%20degree)
Hope this helps...
Good luck on your assignment..
Answer:
0.2684 is the probability that the temperature reading is between 0.50 and 1.75.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 0 degrees
Standard Deviation, σ = 1 degrees
We are given that the distribution of thermometer readings is a bell shaped distribution that is a normal distribution.
Formula:
![z_{score} = \displaystyle\frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z_%7Bscore%7D%20%3D%20%5Cdisplaystyle%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
P(Between 0.50 degrees and 1.75 degrees)
![P(0.50 \leq x \leq 1.75)\\\\ = P(\displaystyle\frac{0.50 - 0}{1} \leq z \leq \displaystyle\frac{1.75-0}{1})\\\\ = P(0.50 \leq z \leq 1.75)\\= P(z \leq 1.75) - P(z < 0.50)\\= 0.9599 - 0.6915 = 0.2684 = 26.84\%](https://tex.z-dn.net/?f=P%280.50%20%5Cleq%20x%20%5Cleq%201.75%29%5C%5C%5C%5C%20%3D%20P%28%5Cdisplaystyle%5Cfrac%7B0.50%20-%200%7D%7B1%7D%20%5Cleq%20z%20%5Cleq%20%5Cdisplaystyle%5Cfrac%7B1.75-0%7D%7B1%7D%29%5C%5C%5C%5C%20%3D%20P%280.50%20%5Cleq%20z%20%5Cleq%201.75%29%5C%5C%3D%20P%28z%20%5Cleq%201.75%29%20-%20P%28z%20%3C%200.50%29%5C%5C%3D%200.9599%20-%200.6915%20%3D%200.2684%20%3D%2026.84%5C%25)
0.2684 is the probability that the temperature reading is between 0.50 and 1.75.
30. Answer if u place the equation into a fraction: example 20/8 yellow over red. Next let’s put the other amount into a fraction, we don’t know yellow so for the fraction we will put x: x/18. For our next step we will then cross multiply 20 by 18 and 8 by x getting 8x=360 from there you divide for x getting 45 yellow.
Answer:
No, this is not a linear function
Step-by-step explanation:
If you graph each point, you will notice that none of the three points line up together in one line with a consitstant slope.