Answer:
13 and 16
Step-by-step explanation:
let the 2 parts be x and y, then
x + y = 29 → (1) and
x² + y² = 425 → (2)
From (1) → x = 29 - y → (3)
substitute x = 29 - y into (2)
(29 - y)² + y² = 425 ( expand factor )
841 - 58y + y² + y² = 425 ( rearrange into standard form )
2y² - 58y + 416 = 0 ← in standard quadratic form
divide all terms by 2
y² - 29y + 208 = 0
Consider the factors of 208 which sum to - 29
These are - 13 and - 16, hence
(y - 13)(y - 16) = 0
equate each factor to zero and solve for y
y - 13 = 0 ⇒ y = 13
y - 16 = 0 ⇒ y = 16
substitute these values into (3)
x = 29 - 13 = 16 and x = 29 - 16 = 13
The 2 parts are 13 and 16
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
#SPJ1
• Factors of 46 =1, 2, 23, 46.
• Distinct Factors of 46 = 1, 2, 23, 46.
Answer:
r=9-5+2
r=6
Step-by-step explanation:
this is the correct answer
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Answer:
Solve for x: -5/6x= -10/3 x=?
x = 1/4
Step-by-step explanation:
from the equation ,Solve for x: -5/6x= -10/3 , to solve for x we will first cross multiply
we have; -15= -60x
divide both sides by -60
-15/-60 = -60x/-60
x = 15/60 ( the minus will cancel out)
x = 1/4
check for your answer by putting 1/4 where you see x
i.e -5/6(1/4) = -10/3
-5 × 2/3 = -10/3
-10/3 = -10/3......... proved!!
