Step 1. Use Division Distributive Property
Step 2. Simplify
to
Step 3. Use Division Distributive Property
Step 4. Simplify
to
Step 5. Simplify
to
Step 6. Simplify
to
Step 7. Simplify
to
Step 8. Simplify
Done!
Your answer is 3
Answer:
yes
Step-by-step explanation:
Solution :
Given :
P (never married) = P = 0.44
Sample size, n = 15
Let (n = 15, P = 0.44)
P(X = x) =
a). The probability that exactly two of them have been married is
P(X=2) =
= 0.0108
b). That at most two of them have never been married.
= 0.000167+0.001969+0.010828
= 0.012964
= 0.0130
c). That at least 13 of them have been married.
P(married) = 1 - P(never married)
= 1 - 0.44
= 0.56
= 0.012964
=0.0130
Answer:
Dilation followed by Translation.
Step-by-step explanation:
We have the function .
The new transformed function is
Now, the transformation applied to f(x) to obtain g(x) are:
1. Dilation - it is the transformation that changes the size/shape of the figure. It is generally of the form kf(x) where k is constant.
Since, we are dilating the given function by 2 units, the new dilated function becomes .
2. Translation - it is the transformation that shifts the figure in any direction. When the function is shifted vertically, the general form becomes f(x)+k.
As, we see that the new dilated function is shifted 3 units upwards, the final translated function becomes .
Hence, the transformations applied to obtain g(x) from f(x) are Dilation followed by Translation.
The function that describes the distance from the finish line after x minutes is: y = 2/3x + 4
Given : A student is running a 10-kilometer race. He runs 1 kilometer every 4 minutes.
To find : Select the function that describes his distance from the finish line after x minutes = ?
Let the equation of line describing function is y = mx+c ....1
Where, y represents the distance in kilometer and x represents the time in minutes.
A student is running a 10-kilometer race,
⇒ y(0) = b = 10 km
It is also given that he runs 1 kilometer every 4 minutes.
Each passing minute the student is getting closer and closer to the finish line which was 10 kilometers away when the race started.
The distance between the student and the finish line will decrease.
m = 10/4 - 1
m = 2/3
substitute in 1.
y = 2/3x + 4
Therefore, the function that describes his distance from the finish line is
y = 2/3x + 4
Learn more about Functions here:
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