Answer:
0.651%
Step-by-step explanation:
using Binomial expansion: nCr*p^n*(1-p)^(n-r)
probability he will get at least 5 hits in the game = probability he will get 5 hits in the game + probability he will get 6 hits in the game + probability he will get 7 hits in the game = 7C5*0.215^5*(1-0.215)^2 + 7C6*0.215^6*(1-0.215)^1 +7C7*0.215^7*(1-0.215)^0 = 21* 0.0004594*0.616225 + 7*0.00009877*0.785 + 1*0.000021235 = 0.00651 = 0.651%
<span>One piece is twenty seven inches long. The others are thirty inches, and thirty five inches. Let's say "A" is the shortest piece, and the base for the equation. The next piece is three inches longer, so we have A+3. The longest piece is five inches longer than the second, so we get A+3+5. To solve for "A" we have to simplify. A+(A+3)+(A+3+5)=3A+11. The total length is 92, so 3A+11=92. Subtract 11 from both sides to get "A" by itself: 3A+11+(-11)=92+(-11) to 3A=81. To solve divide both sides by 3: 3AĂ·3=81Ă·3 to A=27. (27)+3=30. (27)+3+5=35. To check, add the sums. 27+30+35=92 : that is a true statement.</span>
The answer is at the bottom.
1/55 = x/275
all you need to do is to divide.
275/55 = 5
the answer is 5.
Answer:
No... provided no other information or no graph is provided.
Step-by-step explanation:
You can find the x-coordinate of the vertex which can be calculated using the two given x-intercepts. Using the symmetry of the parabola, it would just mean the vertex should lay midway between the x's. So the x-coordinate of the vertex is (12+35)/2=47/2.
However, we do not have enough information about the relationship between x and y to find the y-coordinate of the vertex.
All we are given is y=a(x-12)(x-35) (where a is real number) since we know the relationship is quadratic, and the zeros are 12 & 35.
So we could have many possible y-coordinates for our vertex since we don't know the value of a in our equation and we can plug in our x-coordinate for our vertex to find them all.
y=a(47/2-12)(47/2-35)
I'm just going to put everything to right of a in calculator:
y=-529/4 ×a
So that's all the possible y-coordinates for the vertex.
Answer:
If you are asked if a point is a solution to an equation, we replace the variables with the given values and see if the 2 sides of the equation are equal (so is a solution), or not equal (so not a solution). A solution to a system of equations means the point must work in both equations in the system.
