Answer:
Step-by-step explanation:
P = {x : x is a real number between 2 and 7}
{x: 3,4,5,6}
Q = {x : x is all rational number between 2 and 7}
{4 }
We know that P contains all the rational numbers between 2 and 7.
And P ∪ Q and Q ∪ P each of them contain all the real numbers which are between 2 and 7.
{3,4,5,6}
Here Q is the proper subset of P
P ∩ Q = Q ∩ P = Q= {4}
Answer:
Step-by-step explanation:
a. sin^-1(sin theta) = theta
(1/sin)(sin theta) = theta
<em>the sines cross out</em> theta = theta
b. cos(cos^-1x) = x
cos(x/cos) = x
<em>the cosines cross out </em>x = x
Step-by-step explanation:
sin∅ = opposite / hypotenuse
Answer:
sin(K) = 48/50
sin(P) = 14/50
Answer: Test statistic = -8 and rejected region is (-∞,-1.966) and (1.966, ∞)
Step-by-step explanation:
Since we have given that
X is the length of a rod.
Sample Mean = 2 inches
Standard deviation = 0.5 inches
n = 400
Hypothesis are

Test statistics would be

Degrees of freedom = n-1 =400-1 =39
and 
Using the t-distribution table, we get that critical value z = 1.966
Since the two tail test will be applied to this,
So, the acceptance region will be (-1.966, 1.966)
Hence, the rejected region will be (-∞,-1.966) and (1.966, ∞)
Answer:
2200
Step-by-step explanation: