Answer:
Step-by-step explanation:
Rising 30 feet for every 400 feet of track is not a very large angle of elevation. We set this up as a right triangle to use right triangle trig to solve for the missing angle. The height is 30 and the hypotenuse is 400. The height is the side opposite the angle in question, and the hypotenuse is the hypotenuse! This is the sin ratio. Setting up the ratio using our info:
When you are looking for a missing angle measure, as we are here, use the 2nd-->sin buttons to find the inverse of sin, which looks like this:
Enter in the fraction 30/400 after the parenthesis and then hit enter to get the angle measure of 4.3 degrees.
For this question, we can make the number equal to n. Since two less than it is equal to ten, we know that we are dealing with subtraction. In addition, we know that doing something to n makes it equal to 10. And that something is subtracting two from it. that means that the equation that represents this scenario is n - 2 = 10.
I believe your answer is the first option, 1/2 ft.
*Volume is expressed by length x width x height.
If we multiply the length 5/7 and the height 1 & 1/2 we get 15/14:
*To multiply fractions you must multiply across, multiply the numerator (or top number) by the numerator and the denominator (bottom number) by the denominator.
- Let's turn 1 & 1/2 into a mixed fraction to make things a little easier. 1 & 1/2 also equivalent to 3/2
-Multiply the numerators together, 5 from the 5/7 and now 3 from the 3/2
(5 x 3 = 15)
-Multiply the denominators together, 7 from the 5/7 and 2 from the 3/2
(7 x 2 = 14)
Therefore, 5/7 x 1 & 1/2 is 15/14.
Now what multiplied by 15/14 equals 15/28?
Well... 1 x 15 = 15. That gives us our numerator, 1.
2 x 14 = 28... and we have our denominator 2.
Putting those two together we get a fraction of 1/2. Your width is then 1/2 ft.
I'm so sorry for all the work here! I know it's a lot. I hope it's not too confusing to look at. Hopefully this helps!
Answer and Explanation:
Given : Five males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit the X-linked genetic disorder.
To find :
a. Does the table show a probability distribution?
b. Find the mean and standard deviation of the random variable x.
Solution :
a) To determine that table shows a probability distribution we add up all six probabilities if the sum is 1 then it is a valid distribution.
Yes it is a probability distribution.
b) First we create the table as per requirements,
x P(x) xP(x) x² x²P(x)
0 0.029 0 0 0
1 0.147 0.147 1 0.147
2 0.324 0.648 4 1.296
3 0.324 0.972 9 2.916
4 0.147 0.588 16 2.352
5 0.029 0.145 25 0.725
∑P(x)=1 ∑xP(x)=2.5 ∑x²P(x)=7.436
The mean of the random variable is
The standard deviation of the random sample is
Therefore, The mean is 2.5 and the standard deviation is 1.08.
Answer:
option A all real numbers
Step-by-step explanation:
domain is the all possible "X" values
and X has all real values
