ANSWER
a) One Solution
b) the solution is x=2
EXPLANATION
The given equation is:

We expand to get;

Group similar terms;

This implies that,

Divide both sides by 10 to obtain,

Answer:
State A was the <u>12th</u> state to enter the Union. State B was the <u>11th</u> state to enter the Union.
Step-by-step explanation:
Let's call x to the order-of-entry of State B, therefore the order-of-entry of State A is x+1. Given that he product of their order-of-entry numbers is 132:
x*(x+1) = 132
x² + x - 132 = 0
Using quadratic formula:







The negative solution has no sense in the context of our problem, then the solution is x = 11.
Answer:
36 cm^2
Step-by-step explanation:
The formula for the area of a parallelogram is area = base (height). so area - 6(6). So the answer is 36 square cm.
Answer:
And if we solve for a we got
Step-by-step explanation:
Let X the random variable that represent the lenght time it takes to find a parking space at 9AM of a population, and for this case we know the distribution for X is given by:
Where
and
For this part we want to find a value a, such that we satisfy this condition:
(a)
(b)
As we can see on the figure attached the z value that satisfy the condition with 0.7 of the area on the left and 0.3 of the area on the right it's z=0.524
If we use condition (b) from previous we have this:
But we know which value of z satisfy the previous equation so then we can do this:
And if we solve for a we got