I believe that the answer would be B) y = x + 19
The process is equating,
a) take the two equations and equate them
0.25x + 0.58 = 1.5x - 5.4
(25x+58)/100 = (150x - 54)/100
25x + 58 = 150x - 54
150x - 25x. = 58+ 54
125x = 112
x = 125/112 is nearly 1.116
b) do the same thing ( the answer is 50 )
An equilateral triangle sides are all equal to each other. This means that is one side of an equilateral triangle is x + 3 then the sides of the other two triangles as also each x + 3
The formula for perimeter of a triangle is:
Perimeter = side 1 + side 2 + side 3
Or in the case of an equilateral triangle it would be:
Perimeter = 3(side)
This means that for the formula of this equilateral triangle you have:
Perimeter = 3(x + 3)
If asked the three out side of the parentheses can be distributed, meaning that you multiply the outside number (in this case that is 3) to all the number inside the parentheses (in this case that is x and 3)
Perimeter = (3 * x) + (3*3)
Perimeter = 3x + 9
Both of these are correct:
P = 3(x + 3)
P = 3x + 9
Hope this helped!
~Just a girl in love with Shawn Mendes
Let x represent number of bicycles and y represent number of tricycles.
We know that a bicycle has 2 pedals and a tricycle has 32 pedals as well.
We have been given that when the owner counted the total number of pedals of the cycles, he got 50. We can represent this information in an equation as:
![2x+2y=50...(1)](https://tex.z-dn.net/?f=2x%2B2y%3D50...%281%29)
![2x=50-2y...(1)](https://tex.z-dn.net/?f=2x%3D50-2y...%281%29)
We know that a bicycle has 2 wheels and a tricycle has 3 wheels.
We have been given that when the owner counted the total number of wheels of the cycles, he got 64. We can represent this information in an equation as:
![2x+3y=64...(2)](https://tex.z-dn.net/?f=2x%2B3y%3D64...%282%29)
Upon substituting equation (1) in equation (2), we will get:
![50-2y+3y=64](https://tex.z-dn.net/?f=50-2y%2B3y%3D64)
![50+y=64](https://tex.z-dn.net/?f=50%2By%3D64)
![50-50+y=64-50](https://tex.z-dn.net/?f=50-50%2By%3D64-50)
![y=14](https://tex.z-dn.net/?f=y%3D14)
Therefore, 14 tricycles were offered in the sale.
Answer:
0.230
Step-by-step explanation:
Probability of an adult being in excellent health = p = 37% = 0.37
- There are only 2 outcomes of the event i.e. in excellent health or not.
- Number of trials is fixed i.e. n = 13
- Probability of success is constant
- Events are independent i.e. answer of individuals is not influenced by answers of others
This satisfies all the 4 conditions that are needed for a Binomial Experiment. Hence, we can solve the given question using Binomial Probability.
p = 0.37
q = 1 - p = 1 - 0.37 = 0.63
n = 13
We need to find the probability that when 13 adults are randomly selected, 3 or fewer are in excellent health i.e. P( x ≤ 3 )
P( x ≤ 3 ) = P(0) + P(1) + P(2) + P(3)
The formula of Binomial probability is:
![P(x)=^{n}C_{x}(p)^{x}(q)^{(n-x)}](https://tex.z-dn.net/?f=P%28x%29%3D%5E%7Bn%7DC_%7Bx%7D%28p%29%5E%7Bx%7D%28q%29%5E%7B%28n-x%29%7D)
So,
![P(0)=^{13}C_{0}(0.37)^{0}(0.63)^{(13-0)}=0.0025\\\\ P(1)=^{13}C_{1}(0.37)^{1}(0.63)^{(13-1)}=0.0188\\\\ P(2)=^{13}C_{2}(0.37)^{2}(0.63)^{(13-2)}=0.0663\\\\ P(3)=^{13}C_{3}(0.37)^{3}(0.63)^{(13-3)}=0.1427](https://tex.z-dn.net/?f=P%280%29%3D%5E%7B13%7DC_%7B0%7D%280.37%29%5E%7B0%7D%280.63%29%5E%7B%2813-0%29%7D%3D0.0025%5C%5C%5C%5C%20P%281%29%3D%5E%7B13%7DC_%7B1%7D%280.37%29%5E%7B1%7D%280.63%29%5E%7B%2813-1%29%7D%3D0.0188%5C%5C%5C%5C%20P%282%29%3D%5E%7B13%7DC_%7B2%7D%280.37%29%5E%7B2%7D%280.63%29%5E%7B%2813-2%29%7D%3D0.0663%5C%5C%5C%5C%20P%283%29%3D%5E%7B13%7DC_%7B3%7D%280.37%29%5E%7B3%7D%280.63%29%5E%7B%2813-3%29%7D%3D0.1427)
Thus,
P( x ≤ 3 ) = P(0) + P(1) + P(2) + P(3) = 0.0025 + 0.0188 + 0.0663 + 0.1427
P( x ≤ 3 ) = 0.2303
Therefore, the probability that when 13 adults are randomly selected, 3 or fewer are in excellent health is 0.230