Answer:
dy/dx = 2/x
Step-by-step explanation:
y = In x^2
Let u = x^2
du/dx = 2x
y = In u
dy/du = 1/u
dy/dx = dy/du × du/dx = 1/u × 2x = 1/x^2 × 2x = 2/x
The probability that both are nervous around strangers is (1/5)(1/5)=1/25
The probability that at least one is nervous around strangers is 1 - 1/25 = 24/25.
Answer:
The required amount of mice is 11.82 gram.
Step-by-step explanation:
Given : Assuming that it is known from previous studies that σ = 4.5 grams. If we wish to be 95% confident that the mean weight of the sample will be within 3 grams of the population mean for all mice subjected to this protein diet.
To find : How many mice should be included in our sample?
Solution :
The formula used in the situation is

Where, z value at 95% confidence interval is z=1.96
gram is the mean of the population
gram is the standard deviation of the sample
Substituting the value, to find x sample mean





Therefore, The required amount of mice is 11.82 gram.
subtract 2 1/4 from 8 1/2
make fractions have same denominator
8 1/2 = 8 2/4
8 2/4 - 2 1/4 = 6 1/4 more pounds
<span>a number x is multiplied by 9 : 9x
</span><span>a number x is multiplied by 9, the result is 35 : 9x = 35
solve for x
9x = 35
x = 35/9
x = 3 8/9 (3 and 8/9)</span>