Answer:
Here they all are!
Step-by-step explanation:
1. 722.22222222%
2. 1.3
3. 8%
4. 587%
5. 4377/5000
6. 0.07
7. 100%
8. 82.608695652174
9. 3.2598
10. 2500%
11. 99
12. 48.6
Answer:
0.095163
Step-by-step explanation:
given that a starter motor used in a space vehicle has a high rate of reliability and was reputed to start on any given occasion with probability .99999
Here we find that for any start, there are exactly two outcomes either success or failure.
Also each start is independent of the other since p = 0.99999 for succss is given constant.
Thus X no of successes is binomial with p = 0.99999 and n =10000
If Y is taken as failure then Y is binomial with p' = 0.00001 and n =10000
Required probability
= the probability of at least one failure in the next 10,000 starts
= 1-P(no failure in 10000 starts)
=
The graph of the function, g(x) = 1/3 f(x), is shown below. The correct option is A
<h3>Graph of functions </h3>
From the question, we are to determine the graph of the given function
The function we are to determine its graph is
g(x) = 1/3 f(x)
From the given information,
f(x) = x²
Thus,
We are to determine the graph of
g(x) = 1/3 x²
First, we will determine some points on the given function
Find g(x) when x = -3
g(x) = 1/3 x²
g(x) = 1/3 (-3)²
g(x) = 1/3 × 9
g(x) = 3
Find g(x) when x = 0
g(x) = 1/3 x²
g(x) = 1/3 (0)²
g(x) = 1/3 × 0
g(x) = 0
Find g(x) when x = 3
g(x) = 1/3 x²
g(x) = 1/3 (3)²
g(x) = 1/3 × 9
g(x) = 3
Using the points above, the graph of the function is shown below
Learn more on Graph of functions here: brainly.com/question/9525508
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<span>The answer is 9,990 years. Using the exponential decay question, we can figure out how long it will take Plutonium-240 to decay from 27 grams to 9 grams. Setting the equation up looks like this, 9 = 27 e^ (-0.00011 t). From this you get, 0.333333 = e ^(-0.00011 t). Next, you simplify by dividing both sides by the natural log, -1.0986 = -0.00011 t. Finally, you solve by dividing both sides by -0.00011, giving 9,987 years for t, rounded up to 9,990 years.</span>
Answer:
y = 0.48(x - 0.5)² - 3
y = 0.48(x² - x - 6)
Step-by-step explanation:
From the graph the zeros are
x = {-2, 3}
The x coordinate of the vertex is the midpoint of the roots
x = (-2 + 3) / 2
x = 0.5
The y coordinate of the vertex is
y = -3
vertex = (0.5, -3)
--------------------------------------
Merhod I - vertex
Vertex form is
y = a(x - h)² + k
plug in the vertex
y = a(x - 0.5)² - 3
to find a plug in either root
using x = 3
0 = a(3 - 0.5)² - 3
0 = a(2.5)² - 3
0 = 6.25a - 3
3 = 6.25a
a = 3/6.25
a = 0.48
y = 0.48(x - 0.5)² - 3
-----------------------------
Method II - roots
y = a(x + 2)(x - 3)
-3 = a(0.5 + 2)(0.5 - 3)
-3 = a(2.5)(-2.5)
-3 = -6.25a
3/6.25 = a
0.48 = a
y = 0.48(x + 2)(x - 3)
Expand
y = 0.48(x² - x - 6)