Answer:
Step-by-step explanation:
Call T the top
call G the bottom
T G B is a right triangle
37 at B, 90 at G, thus 53 at BTG
TGA is a right triangle
25 at A, 90 at G, thus 65 at ATG
thus 122 at ABT
law of sines:
sin 25 / BT = sin 12/ 57
so BT = 156 meters (first answer)
now angle ABT = 180 - 12 - 25
= 143
so
sin 143 /AT = sin12/57
AT = 164 meters, second answer
We know for our problem that the zeroes of our quadratic equation are

and

, which means that the solutions for our equation are

and

. We are going to use those solutions to express our quadratic equation in the form

; to do that we will use the <span>zero factor property in reverse:
</span>



<span>
</span>



<span>
Now, we can multiply the left sides of our equations:
</span>

<span>= </span>

=

=

Now that we have our quadratic in the form

, we can infer that

and

; therefore, we can conclude that

.
Answer:
yes
Step-by-step explanation:
Answer:
x = 
Step-by-step explanation:
Given
3x -
= - 
Multiply through by 10, the lcm of 5 and 2 to clear the fractions
30x - 8 = - 5 ( add 8 to both sides )
30x = 3 ( divide both sides by 30 )
x =
= 
Answer: The average length of time that the 25 customers waited before leaving the bank. <u> e. Statistic</u>
The list of times for the 25 customers who left the bank. <u> f.Data </u>
All of the bank's customers <u> d. Population</u>
The 25 customers that the manager observed leave. <u> c. Sample</u>
The length of time a customer waits before leaving the bank. a. <u>Variable.</u>
The average length of time that all customers will wait before leaving the bank <u>a. Parameter</u>
Step-by-step explanation:
A data is a list of observations.
In statistics, a variable is an attribute that defines a person, place, thing, or thought.
A large group that have similar individuals as per the researcher's point of view is known as population, where its subset is known as sample.
The measure of certain characteristic in population is known as parameter, where for sample it is known as statistic.