Hi!
This is a fun one, as it delves into basic trigonometry.
We're going to use the Pythagorean theorem here, which says that for right triangles where "c" is the hypotenuse,
a² + b² = c²
We have to split this large triangle into two parts, both of which are right triangles. (This is why they drew a line in the middle to tell you that the larger triangle is composed of two right triangles.)
Let's do the one on the right first.
We know that the length of the hypotenuse is 10, and that the length of one of the legs is 6.5. If we plug this into our equation, we'll get the length of the other leg. I'm choosing "b" to be 6.5, but it really doesn't matter if you pick "a" or "b", so long as you reserve "c" for the hypotenuse (longest side).
a² + 6.5² = 10²
a² + 42.25 = 100
a² = 57.75
√a² = √57.75
a ≈ 7.6
Therefore, the length of DC is about 7.6.
Find the length of AD using the same method (7.5 is the hypotenuse "c", and 6.5 is one of the legs "a" or "b"). Then, once you have AD, add the lengths of AD and DC to get AC.
Have a great one!
Make them common denominators
Answer: yes
Step-by-step explanation:
2+2=4
Answer: C=8.5t
Step-by-step explanation:
If you were to divide the total cost (c) by the Time (t) for any of the numbers you would get 8.5.
Hope this helps
Answer:
The 99% confidence interval of the standard deviation of the pulse rates of men is
![[ 7.949 \ \ , \ 14.387 ]](https://tex.z-dn.net/?f=%5B%207.949%20%5C%20%20%5C%20%2C%20%5C%20%2014.387%20%5D)
Step-by-step explanation:
From the question we are told that
The sample size is n = 40
The mean is 
The standard deviation is 
Generally the degree of freedom is mathematically represented as
=> 
=> 
From the question we are told the confidence level is 99% , hence the level of significance is
=> 
Generally from the chi distribution table the critical value of at a degree of freedom of is
Generally from the chi distribution table the critical value of at a degree of freedom of is
Generally the 99% confidence interval of the standard deviation of the pulse rates of men is mathematically represented as
=> 
=>
