Answer:
See Explanation
Step-by-step explanation:
According to the Question,
- Given That, ∠T and ∠S are complementary & ∠S and ∠U are complementary
Thus, m∠T + m∠S = 90 ------ Equation 1
& m∠S + m∠U = 90 ------- Equation 2
- Now, Subtract Equation 2 From Equation 1, we get
m∠T - m∠U = 0
Thus, m∠T = m∠U
The measure of angle T is equal to angle U.(∠U≅∠T).
Answer:

And we can solve this using the following z score formula:

And if we use this formula we got:

So we can find this probability equivalently like this:

Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:
Where
and
We select n =100. Since the distribution for X is normal then we know that the distribution for the sample mean
is given by:
We want this probability:

And we can solve this using the following z score formula:

And if we use this formula we got:

So we can find this probability equivalently like this:

Answer:
one is correct.
Step-by-step explanation:
because it have one solution when you graph it
Answer:
x=1 y=4
Step-by-step explanation:
2x + y = x/2 + 1 multiply this by -4:-
-8x - 4y = -2x - 4
4y = 2x Adding:-
-8x = -4
x = 1/2
Substitute in 4y = 2x:-
4y = 2*1/2
y = 1/4
Answer ( 1/2, 1/4)