d/dx (2 x^2 y + y = 2x + 13)
4xy + 2x^2 y' + y' = 2
4xy + y'(2x^2 + 1) = 2
y' = (2- 4xy)/(2x^2 +1)
<span>ow we can use this in a linear equation for a slope
Ty = -5x/8 +5(3)/8 +8/8
= -5x/8 +(15+8)/8
= -5x/8 +23/8
this will gives us an approximation at x=2.8 now</span>
Answer:
a) 0.997 is the probability that the breaking strength is at least 772 newtons.
b) 0.974 is the probability that this material has a breaking strength of at least 772 but not more than 820
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 800 newtons
Standard Deviation, σ = 10 newtons
We are given that the distribution of breaking strength is a bell shaped distribution that is a normal distribution.
Formula:
a) P( breaking strength of at least 772 newtons)
Calculation the value from standard normal z table, we have,

0.997 is the probability that the breaking strength is at least 772 newtons.
b) P( breaking strength of at least 772 but not more than 820)

0.974 is the probability that this material has a breaking strength of at least 772 but not more than 820.
The expression represents the total amount of money Mike earned for both weeks is 2.05x dollars
<em><u>Solution:</u></em>
Given that, Mike earned x dollars the first week of his new job
He earned 5% more the second week than the first week
To find: Total amount earned in both weeks
From given,
Amount earned in first week = "x" dollars
Amount earned in second week = 5 % more than first week
Therefore,
Amount earned in second week = x + 5 % of x

Thus amount earned in second week = 1.05x dollars
<em><u>The total amount earned in both weeks:</u></em>
Total amount = Amount earned in first week + Amount earned in second week

Thus the expression represents the total amount of money Mike earned for both weeks is 2.05x dollars
If he increases the number by 10%, he will have 110% of the number.
Then he reduces it by 10% of the new number, which s 11%.
110% - 11% = 99%
The answer is 99%.
Hope this helps!