Answer:
Step-by-step explanation:
Solution
0.125125125
Cut . Thus after cut . Count numbers then we get there is 9 numbers so divide it in form of 0 like
Thus after cutting . we get
125125125
___________
1000000000
It is in p/q form
Answer:
P(X ≤ 50) = 0.57
P(X > 25) = 0.76
P(X < 75) = 0.57
Step-by-step explanation:
Given: probability distribution to the number of tubes that will rent on a randomly selected day.
x ⇒ the number of tubes
P(x) ⇒ probability
x : 25 50 75 100 Total
P(x) : 0.24 0.33 0.29 0.14 1
So,
P(x ≤ 50) = P(x = 25) + P(x = 50) = 0.24 + 0.33 = 0.57
P(x > 25) = Total - P(x = 25) = 1 - 0.24 = 0.76
P(x < 75) = P(x = 25) + P(x = 50) = 0.24 + 0.33 = 0.57
Bill and Amy travel the same distance from home to school of 14.4 kilometers. Amy takes 40 minutes of time to arrive to school which means she has a rate of 14.4 km /40 minutes or 6 meters/ second. Bill takes a total 60 minutes to arrive to school. Hence Bill's rate is equal to 14.4 km/60 minutes or 4 meters/ second.Amy's is 2 m/s faster than Bill's speed, then.
Answer:
4x^2+6x+2
Step-by-step explanation:
Answer:
<u><em>Observe the attached image</em></u>
Step-by-step explanation:
We have the graph of a line that passes through the points (0,5) and (2, 1).
The equation of the line that passes through these points is found in the following way:
![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
Where
m = slope
![m = \frac {y_2-y_1}{x_2-x_1}\\\\m = \frac{1-5}{2-0}\\\\m = -2\\\\b = y_2-mx_2\\\\b = 1 -(-2)(2)\\\\b = 5](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%20%7By_2-y_1%7D%7Bx_2-x_1%7D%5C%5C%5C%5Cm%20%3D%20%5Cfrac%7B1-5%7D%7B2-0%7D%5C%5C%5C%5Cm%20%3D%20-2%5C%5C%5C%5Cb%20%3D%20y_2-mx_2%5C%5C%5C%5Cb%20%3D%201%20-%28-2%29%282%29%5C%5C%5C%5Cb%20%3D%205)
So
![y = -2x + 5](https://tex.z-dn.net/?f=y%20%3D%20-2x%20%2B%205)
We must apply to this function the transformation
.
We know that a transformation of the form
shifts the graph of the function f(x) h units to the right if
, or shifts the function f(x) h units towards the left if
.
In this case
then the transformation
displaces the graph 4 units to the right.
Therefore if f(x) passes through the points (0,5) and (2,1) then
passes through the points (4, 5) (6, 1)
And its equation is:
![y = -2(x-4) +5\\\\y = -2x +13](https://tex.z-dn.net/?f=y%20%3D%20-2%28x-4%29%20%2B5%5C%5C%5C%5Cy%20%3D%20-2x%20%2B13)
<u><em>Observe the attached image</em></u>