Answer:
As they triangles are congruent, we can say that, angle A = angle O
So, angle A = 105+25 =130
A = 180 - 130 = 50° all angles in a triangle add up to 180)
Soo 50° is the answer,
I'm not too sure about it but I think this is correct, hope this helps, correct me if I'm wrong....
Answer:
0.2916, 0.1488, 0.0319
Step-by-step explanation:
Given that a sign on the pumps at a gas station encourages customers to have their oil checked, and claims that one out of 10 cars needs to have oil added.
Since each trial is independent there is a constant probability for any random car to need oil is 0.10
Let X be the number of cars that need oil
A) Here X is BIN(4,0.1)
![P(X=1) = 4C1(0.1)(0.9)^3 \\= 0.2916](https://tex.z-dn.net/?f=P%28X%3D1%29%20%3D%204C1%280.1%29%280.9%29%5E3%20%5C%5C%3D%200.2916)
B) Here X is Bin (8, 0.1)
![P(x=2) = 8C2 (0.1)^2 (0.9)^6\\\\=0.1488](https://tex.z-dn.net/?f=P%28x%3D2%29%20%3D%208C2%20%280.1%29%5E2%20%280.9%29%5E6%5C%5C%5C%5C%3D0.1488)
C) Here X is Bin (20,5)
![P(x=5) = 20C5 (0.1)^5 (0.9)^{15} \\=0.0319](https://tex.z-dn.net/?f=P%28x%3D5%29%20%3D%2020C5%20%280.1%29%5E5%20%280.9%29%5E%7B15%7D%20%5C%5C%3D0.0319)
Answer:
The definition of evaluate is to find a numerical expression or equivalent for - an equation, formula or function.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given function is,
f(x) = ![\sqrt{x}](https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D)
If the given function is vertically stretched by a scale factor of
Or 1.5,
Transformed function will be,
h(x) = ![\frac{3}{2}[f(x)]](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%5Bf%28x%29%5D)
h(x) = ![\frac{3}{2}(\sqrt{x})](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%28%5Csqrt%7Bx%7D%29)
Further function 'h' is shifted 1 units upwards,
g(x) = h(x) + 1
g(x) = ![\frac{3}{2}(\sqrt{x} )+1](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%28%5Csqrt%7Bx%7D%20%29%2B1)
Domain of the function → x ≥ 0 Or [0, ∞)
Range of the function → y ≥ 1 Or [1, ∞)
Transformations done → Parent function f(x) is vertically stretched by a scale factor of
then shifted 1 unit upward.
Blediana would have read a total of 12 Harry Potter books in 6 months.
If she read 10 books in 5 months, that would be 2 books per month. 6 months would allow her to lead a total of 12 books.