Answer:
(x, y)=(301 43)
( ---- , ---)
( 29 29)
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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Answer:
First option is the correct choice.
Step-by-step explanation:
y - 6 = 1/5 x + 0
y = 1/5x + 6
Best Regards!
Answer:
27°
Step-by-step explanation:
XWY and VWY are supplementary
∴ XWY + VWY = 180°
∴ XWY = 180° - VWY
XYW and ZYW are supplementary
∴ XYW + ZYW = 180°
∴ XYW = 180° - ZYW
ΔXWY is a right triangle at X
∴ XWY + XYW = 90°
∴ 180° - VWY + 180° - ZYW = 90°
∴ 180° - 6x + 180° - 4x = 90°
∴ 360° - 10x = 90°
∴ 10x = 270°
∴ x = 27°