A) 25% of males preferred playing sports.
Explanation) .25 is the same is 25%.
B) 25% of the people surveyed preferred reading a book.
Explanation) You have to add up how many males and females rather
to read a book. It's .10 + .15 = 25%.
C) 70 females were surveyed out of 200 people.
Explanation) Add up .15 + .5 + .15 to get .35. Put .35 multiplied by 200 to get 70.
Answer:
the answers are B,C,D
Step-by-step explanation:
Answer:
Step-by-step explanation:
A larger set that a particular set can be a subset of is a Universal set. A universal set is parent where all other sets are derived from.
For example, given a universal set U = {1,2,3,4,5}, a set A = {1, 3, 5} is said to be a subset of the set U because the elements of set B are contained in the Universal set U.
Also, sets like {1, 4,5} and {3,4,5} can also be regarded as the subset of U since all the elements of the sets can be found in the Universal set U. Hence the correct name of the set is a UNIVERSAL SET
Answer:
Perimeter = 32.44 units
Area = 30 square units
Step-by-step explanation:
Given
Vertices
A(2,8), B(16,2) and C(6,2)
WE have to determine the lengths of all sides before finding the perimeter and area.
The formula of modulus is:
![d = \sqrt{(x_{2}- x_{1})^{2} +(y_{2}-y_{1})^{2}}\\AB=\sqrt{(16-2)^{2} +(2-8)^{2}}\\=\sqrt{(14)^{2} +(-6)^{2}}\\=\sqrt{196+36}\\ =\sqrt{232}\\=15.23\\\\BC=\sqrt{(6-16)^{2} +(2-2)^{2}}\\=\sqrt{(-10)^{2} +(0)^{2}}\\=\sqrt{100+0}\\ =\sqrt{100}\\=10\\\\AC=\sqrt{(6-2)^{2} +(2-8)^{2}}\\=\sqrt{(4)^{2} +(-6)^{2}}\\=\sqrt{16+36}\\ =\sqrt{52}\\=7.21\\\\](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28x_%7B2%7D-%20x_%7B1%7D%29%5E%7B2%7D%20%2B%28y_%7B2%7D-y_%7B1%7D%29%5E%7B2%7D%7D%5C%5CAB%3D%5Csqrt%7B%2816-2%29%5E%7B2%7D%20%2B%282-8%29%5E%7B2%7D%7D%5C%5C%3D%5Csqrt%7B%2814%29%5E%7B2%7D%20%2B%28-6%29%5E%7B2%7D%7D%5C%5C%3D%5Csqrt%7B196%2B36%7D%5C%5C%20%3D%5Csqrt%7B232%7D%5C%5C%3D15.23%5C%5C%5C%5CBC%3D%5Csqrt%7B%286-16%29%5E%7B2%7D%20%2B%282-2%29%5E%7B2%7D%7D%5C%5C%3D%5Csqrt%7B%28-10%29%5E%7B2%7D%20%2B%280%29%5E%7B2%7D%7D%5C%5C%3D%5Csqrt%7B100%2B0%7D%5C%5C%20%3D%5Csqrt%7B100%7D%5C%5C%3D10%5C%5C%5C%5CAC%3D%5Csqrt%7B%286-2%29%5E%7B2%7D%20%2B%282-8%29%5E%7B2%7D%7D%5C%5C%3D%5Csqrt%7B%284%29%5E%7B2%7D%20%2B%28-6%29%5E%7B2%7D%7D%5C%5C%3D%5Csqrt%7B16%2B36%7D%5C%5C%20%3D%5Csqrt%7B52%7D%5C%5C%3D7.21%5C%5C%5C%5C)
So the perimeter is:
![Perimeter=AB+BC+AC\\=15.23+10+7.21\\=32.44\ units](https://tex.z-dn.net/?f=Perimeter%3DAB%2BBC%2BAC%5C%5C%3D15.23%2B10%2B7.21%5C%5C%3D32.44%5C%20units)
Using hero's formula,
![s=\frac{perimeter}{2}\\s=\frac{32.44}{2}\\ s=16.22\\Area=\sqrt{s(s-a)(s-b)(s-c)}\\=\sqrt{16.22(16.22-15.23)(16.22-10)(16.22-7.21)}\\=\sqrt{(16.22)(0.99)(6.22)(9.01)}\\=\sqrt{899.91}\\=29.99\ square\ units](https://tex.z-dn.net/?f=s%3D%5Cfrac%7Bperimeter%7D%7B2%7D%5C%5Cs%3D%5Cfrac%7B32.44%7D%7B2%7D%5C%5C%20s%3D16.22%5C%5CArea%3D%5Csqrt%7Bs%28s-a%29%28s-b%29%28s-c%29%7D%5C%5C%3D%5Csqrt%7B16.22%2816.22-15.23%29%2816.22-10%29%2816.22-7.21%29%7D%5C%5C%3D%5Csqrt%7B%2816.22%29%280.99%29%286.22%29%289.01%29%7D%5C%5C%3D%5Csqrt%7B899.91%7D%5C%5C%3D29.99%5C%20square%5C%20units)
Rounding off will give us 30 square units ..