When a polygon is regular, that means that all of its sides are the same length and all of its angles are the same. A heptagon has seven sides and you know that all of them measure 3 inches. You can find the perimeter by adding all of the side measures together, so 3 + 3 + 3 + 3 + 3 + 3 + 3, or 3 x 7. So, the perimeter of the heptagon is 21 inches.
Let Z be the reading on thermometer. Z follows Standard Normal distribution with mean μ =0 and standard deviation σ=1
The probability that randomly selected thermometer reads greater than 2.07 is
P(z > 2.07) = 1 -P(z < 2.07)
Using z score table to find probability below z=2.07
P(Z < 2.07) = 0.9808
P(z > 2.07) = 1- 0.9808
P(z > 2.07) = 0.0192
The probability that a randomly selected thermometer reads greater than 2.07 is 0.0192
Answer:
![\frac{34}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B34%7D%7B15%7D%20)
Step-by-step explanation:
we are asked to evaluate
÷![1\tfrac{7}{8}](https://tex.z-dn.net/?f=1%5Ctfrac%7B7%7D%7B8%7D)
Above we are given mixed fraction which can be converted in proper fraction using formula given below
Hence
![4\tfrac{1}{4}=\frac{4 \times 4 +1}{4}](https://tex.z-dn.net/?f=4%5Ctfrac%7B1%7D%7B4%7D%3D%5Cfrac%7B4%20%5Ctimes%204%20%2B1%7D%7B4%7D)
![4\tfrac{1}{4}=\frac{17}{4}](https://tex.z-dn.net/?f=4%5Ctfrac%7B1%7D%7B4%7D%3D%5Cfrac%7B17%7D%7B4%7D)
Also
![1\tfrac{7}{8}=\frac{1 \times 8 +7}{8}](https://tex.z-dn.net/?f=1%5Ctfrac%7B7%7D%7B8%7D%3D%5Cfrac%7B1%20%5Ctimes%208%20%2B7%7D%7B8%7D)
![1\tfrac{7}{8}=\frac{15}{8}](https://tex.z-dn.net/?f=1%5Ctfrac%7B7%7D%7B8%7D%3D%5Cfrac%7B15%7D%7B8%7D)
Hence
÷ ![1\tfrac{7}{8}](https://tex.z-dn.net/?f=1%5Ctfrac%7B7%7D%7B8%7D)
can be written as
÷ ![\frac{15}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B8%7D)
Also we know the rule for dividing fraction is as given below
÷
= ![\frac{a}{b} \times \frac{d}{c}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7Bb%7D%20%5Ctimes%20%5Cfrac%7Bd%7D%7Bc%7D)
Hence
÷
= ![\frac{17}{4} \times \frac{8}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B17%7D%7B4%7D%20%5Ctimes%20%5Cfrac%7B8%7D%7B15%7D)
=![\frac{17 \times 2}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B17%20%5Ctimes%202%7D%7B15%7D%20)
=![\frac{34}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B34%7D%7B15%7D%20)
Answer:
24 ways
Step-by-step explanation:
4x3x2
12x2
24