Answer:
The variable is represented by ONE ORANGE X TITLE. Subtract three is represented by THREE BLUE - TILES. The tiles represent SUBTRACTING 3 FROM an unknown number.
What is the slope of the line through (6,9)(6,9)(, 6, comma, 9, )and (7,1)(7,1)(, 7, comma, 1, )?
Alekssandra [29.7K]
Answer:
the slope of the given line is -8
Step-by-step explanation:
(6,9) and (7,1)
To find the slope of the given line we use formula
the value of x1 is 6 and y1 is 9
the value x2 is 7 and y2 is 1
plug in the value in the slope formula
the slope of the given line is -8
Answer:
<u>The company should promote a lifetime of </u><u>3589 hours</u><u> for these bulbs, so that only 2% of them burnout before the claimed lifetime.</u>
Step-by-step explanation:
Consider the lifetime of light bulbs is normally distributed. Then, μ = 4000 hours and σ = 200 hours.
Let X be the lifetime of bulbs. We need to find the lifetime before which only 2% (0.02) of the bulbs burn out. Suppose the value of this lifetime is y. then, we need to find out P(X<y) = 0.02.
We will use the z-score formula:
<u>z = (x-μ)/σ</u>
P(X<y) = 0.02
P((X-μ)/σ < (y-μ)/σ) = 0.02
P(z < (y-4000)/200) = 0.02
We can find the value of z at which the probability is 0.02 from the normal distribution (areas under the normal curve) table.
From the table we can see that 0.02 lies between z values -2.05 and -2.06. So,
z = [-2.05 + (-2.06)]/2
= -4.11/2
z = -2.055
So,
(y-4000)/200 = -2.055
y-4000 = -411
y = 4000 - 411
y = 3589 hours
<u></u>
<u>The company should promote a lifetime of </u><u>3589 hours</u><u> for these bulbs, so that only 2% of them burnout before the claimed lifetime.</u>