Given
To find the derivative of the give function,we apply below exponent rule first:
So,
Next, we apply the chain rule:
So,
We substitute back u=(5x-6):
Simplify:
Therefore, the answer is:
Answer:
021110321....1.12...1.1.631.6301
Step-by-step explanation:
The grams of apples left is 413765 grams
<h3>How to determine the value</h3>
From the information given, we have that:
- There are 36 crates of apples
- Each contains 25 kilograms of apples
- 486,235 grams of apples were sold
If we have 36 crates, let's determine the the total grams of apples
1 crate = 25 kilograms = 25000 grams
36 crates = x
x = 25000 × 36
x = 900000 grams
The total grams of apple is 900000 grams
The grams left = Total - sold = 900000 - 486,235 = 413765 grams
Thus, the grams of apples left is 413765 grams
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A times 34 idfbutcgnjytfxvhitd
Answer:
Step-by-step explanation:
Since the number of pages that this new toner can print is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = the number of pages.
µ = mean
σ = standard deviation
From the information given,
µ = 2300 pages
σ = 150 pages
1)
the probability that this toner can print more than 2100 pages is expressed as
P(x > 2100) = 1 - P(x ≤ 2100)
For x = 2100,
z = (2100 - 2300)/150 = - 1.33
Looking at the normal distribution table, the probability corresponding to the z score is 0.092
P(x > 2100) = 1 - 0.092 = 0.908
2) P(x < 2200)
z = (x - µ)/σ/√n
n = 10
z = (2200 - 2300)/150/√10
z = - 100/47.43 = - 2.12
Looking at the normal distribution table, the probability corresponding to the z score is 0.017
P(x < 2200) = 0.017
3) for underperforming toners, the z score corresponding to the probability value of 3%(0.03) is
- 1.88
Therefore,
- 1.88 = (x - 2300)/150
150 × - 1.88 = x - 2300
- 288 = x - 2300
x = - 288 + 2300
x = 2018
The threshold should be
x < 2018 pages
