Answer:
Step-by-step explanation:
Since we have been given height of triangle as 8 and length of its base as 3. We can use similar triangles to express the base of the smaller triangle in terms of h.
The height of the smaller triangle will be
Let x be the base of the smaller triangle. Therefore, using similar triangles, we can set the ratios of corresponding sides of the two triangles equal to each other as shown below:
Now, we can express the area of the small rectangular strip of length x and thickness Dh as shown below:
Therefore, the required Riemann sum can be expressed as:
The required areas can be expressed as:
Rest of your answers are correct. :)
A: (.5,9)
B: (.5,9)
C: (0,5)
D: (1.25,0)
<span>1/3, 1/4, 1/8
The answer given is not the only possible answer. You need to come up with 3 different fractions so that the LCD (least common denominator) So first, determine the prime factors of 24.
24 = 2 * 2 * 2 * 3
Now you want some denominators that will need all of those prime factors. For the above list of 3, 4, 8, only the 3 and 8 are important, since one of them uses the prime factor of 3 and the other uses 3 prime factors of 2, so the LCD for those 2 numbers is 24. The 3rd denominator could be almost anything that uses some combination of prime factors 2,2,2,3 such as 1/2, 1/4, 1/6, 1/12, etc. I just happened to pick 1/4. The only real restriction is that none of the denominators can use any extra prime factors. If they did. then the resulting LCD would not be equal to 24.</span>
Answer:
std deviation = 1.641
Step-by-step explanation:
Given that the TSH (Thyroid Stimulating Hormone) levels among healthy individuals are normally distributed with a mean of 3.1 units/mL.
If X represents the TSH then X is N(3.1, sigma)
We do not know sigma value, but we are given that exactly 95% of healthy individuals have TSH levels below 5.8 units/mL.
We know as per standard normal distribution score that 95th percentile referes to Z score of 1.645
Using this we can find standard dev