AC = 18
BC = 6x
AB = 2x + 4
Write and solve:
18 + 6x + 2x + 4
18 + 8x + 4 = 180
You can solve further:
18 + 8x = 176
8x = 158
x = 19 & 3/4
Not 100% sure what the question is asking, but hopefully this helps.
Answer:
81 mm is more precise
Step-by-step explanation:
millimeters are smaller than cm
8 cm * 10 mm/1 cm = 80 mm
compared to 81 mm
81 mm is more precise
The Linear inequality holds true for 21 ≥ x;
What is Linear Inequality?
The mathematical expression with unequal sides is known as inequality in mathematics. Inequality is referred to in mathematics when a relationship results in a non-equal comparison between two expressions or two numbers. In this instance, any of the inequality symbols, such as greater than symbol (>), less than symbol (), greater than or equal to a symbol (), less than or equal to a symbol (), or not equal to a symbol (), is used in place of the equal sign "=" in the expression. Polynomial inequality, rational inequality, and absolute value inequality are the various types of inequalities that can exist in mathematics. The symbols "" and ">" signify tight inequalities, while "" and "" signify slack inequalities.
In the given question, the given inequality given is:
-3(2x-11) ≥ 8x-9;
Solving the Inequality:
⇒-6x + 33 ≥ 8x - 9;
⇒33 + 9 ≥ 8x - 6x;
⇒ 42 ≥ 2x;
⇒ 21 ≥ x;
Hence,
The Linear inequality holds true for 21 ≥ x;
To learn more about Linear Inequality, visit:
brainly.com/question/24372553
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200.6ft
Step-by-step explanation:
- find the area of the square that is L².=12²ft which is 144ft
- the area of the half a circle which is 1/2πr²which is 1/2×22/7×6²=56.6 after rounding of to one decimal place
- add the two areas 144+56.6=200.6ft
Answer:
The probability that the animal chosen is brown-haired is 0.6333.
Step-by-step explanation:
Denote the events as follows:
<em>A</em> : a brown-haired rodent
<em>B</em> : Litter 1
The information provided is:
![P (A|B) =\frac{2}{3}\\\\P(A|B^{c})=\frac{3}{5}](https://tex.z-dn.net/?f=P%20%28A%7CB%29%20%3D%5Cfrac%7B2%7D%7B3%7D%5C%5C%5C%5CP%28A%7CB%5E%7Bc%7D%29%3D%5Cfrac%7B3%7D%7B5%7D)
The probability of selecting any of the two litters is equal, i.e.
![P(B)=P(B^{c})=\frac{1}{2}](https://tex.z-dn.net/?f=P%28B%29%3DP%28B%5E%7Bc%7D%29%3D%5Cfrac%7B1%7D%7B2%7D)
According to the law of total probability:
![P(X)=P(X|Y_{1})P(Y_{1})+P(X|Y_{2})P(Y_{2})+...+P(X|Y_{n})P(Y_{n})](https://tex.z-dn.net/?f=P%28X%29%3DP%28X%7CY_%7B1%7D%29P%28Y_%7B1%7D%29%2BP%28X%7CY_%7B2%7D%29P%28Y_%7B2%7D%29%2B...%2BP%28X%7CY_%7Bn%7D%29P%28Y_%7Bn%7D%29)
Compute the total probability of event <em>A</em> as follows:
![P(A)=P(A|B)P(B)+P(A|B^{c})P(B^{c})](https://tex.z-dn.net/?f=P%28A%29%3DP%28A%7CB%29P%28B%29%2BP%28A%7CB%5E%7Bc%7D%29P%28B%5E%7Bc%7D%29)
![=[\frac{2}{3}\times\frac{1}{2}]+[\frac{3}{5}\times\frac{1}{2}]\\\\=\frac{1}{3}+\frac{3}{10}\\\\=\frac{10+9}{30}\\\\=\frac{19}{30}\\\\=0.6333](https://tex.z-dn.net/?f=%3D%5B%5Cfrac%7B2%7D%7B3%7D%5Ctimes%5Cfrac%7B1%7D%7B2%7D%5D%2B%5B%5Cfrac%7B3%7D%7B5%7D%5Ctimes%5Cfrac%7B1%7D%7B2%7D%5D%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B3%7D%2B%5Cfrac%7B3%7D%7B10%7D%5C%5C%5C%5C%3D%5Cfrac%7B10%2B9%7D%7B30%7D%5C%5C%5C%5C%3D%5Cfrac%7B19%7D%7B30%7D%5C%5C%5C%5C%3D0.6333)
Thus, the probability that the animal chosen is brown-haired is 0.6333.