Answer:
2.28 %
Step-by-step explanation:
It is stated that battery life distribution is normal. First we need to find out where 65 hour battery life in this distribution falls by finding its z-score. We can use the following formula
z(x)=
where
- X the point we are looking to find its z-score, which is 65
- M is the mean of the sample, which is 75
- s is the standard deviation of the sample, which is 5
Replacing these numbers in the formula, z-score of the 65 hour battery life :
z(x)=
=-2
All the batteries fail within the first 65 months if their z-score is smaller than -2. Or we can state this also as: P(z≤-2) which is 0.0228
Thus 2.28 % of the batteries will fail within the first 65 months of use.
The two equations given in the question are
y = - 3x
And
y = 6x - 9
Let us now substitute the value of y from the first equation to the second equation, we get
y = 6x - 9
- 3x = 6x - 9
-3x - 6x = - 9
- 9x = - 9
Multiplying both sides of the equation by -1 we get
9x = 9
x = 9/9
= 1
Now let us put the value of x in the first equation, we get
y = - 3x
= - (3 * 1)
= - 3
Answer:
332=y
Step-by-step explanation:
Answer:

Step-by-step explanation:
The scatter plot trends downward from left-> right, meaning that it is negative. Next, use two points to solve for the value for the slope.
In this case, I will use (-3 , 1) & (0 , 0)
Use the following equation. m = slope:

Let:

Plug in the corresponding numbers to the corresponding variables:

Your answer will be:
