A manufacturer knows that their items have a normally distributed lifespan, with a mean of 12.3 years, and standard deviation of
0.8 years. If you randomly purchase one item, what is the probability it will last longer than 14 years
1 answer:
Answer:
probability of lasting longer = 1.7%
Step-by-step explanation:
We are given:
x' = 14 years
μ = 12.3 years
s = 0.8 years
Thus, let's use the formula for the Z-score value which is;
z = (x' - μ)/s
Thus;
z = (14 - 12.3)/0.8
z = 2.125
From the z-distribution table attached, the p-value is ;
P(x' > 2.125) = 1 - 0.983 = 0.017 = 1.7%
Thus,probability of lasting longer = 1.7%
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the new center of the circle is (4,-3)
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see the attached figure
X²+y²=9 -------> X²+y²=3²
is the equation of a circle with center (0,0) and radius r=3 units
so
<span>the translation of four units to the right and three units down is equals to move the center (0,0)--------> (0+4,0-3)------> (4.-3)
the new center of the circle is (4,-3)
the new equation is
(x-4)</span>²+(y+3)²=3²
see the attached figure
Answer:
Step-by-step explanation:
slope-intercept form:
Start with the given equation, and to find the slope, convert it to slope-intercept form by solving for y.
In this case, all you need to do is subtract 3x from both sides.
Here, the slope is -3. The slope of a parallel line will also be -3.
Now, we have 3 known variables. We have the slope and the x and y of a known point. Use those 3 knowns to solve for the 1 unknown, the y-intercept.
Finally, with the slope and the y-intercept, you can write the equation of the line: