y = -8x + 5
To obtain the equation we require a point on it and it's slope.
the slope m = dy/dx at x = 1
dy/dx = -2-6x
x = 1 then dy/dx = -2 -6 = -8
equation of line in form y - b = m(x-a) with m = -8 and (a,b)=(1,-3)
y + 3 = -8(x-1)
y + 3 =-8x + 8
⇒ y = -8x +5 is the equation of the tangent
Answer:
18
Step-by-step explanation:
4×3=12
3×2=6
12+6=18
Answer:
the answer is 5/9
Step-by-step explanation:
Using the normal distribution, it is found that 25.14% of the batteries will last more than 420 hours.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean and standard deviation is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
In this problem, we have that the mean and the standard deviation are given, respectively, by:
.
The proportion of the batteries will last more than 420 hours is <u>one subtracted by the p-value of Z when X = 420</u>, hence:
Z = 0.67
Z = 0.67 has a p-value of 0.7486.
1 - 0.7486 = 0.2514.
0.2514 = 25.14% of the batteries will last more than 420 hours.
More can be learned about the normal distribution at brainly.com/question/24663213
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