Answer:

Step-by-step explanation:
see the attached figure to better understand the problem
we know that
In the right triangle PQR
The sine of angle R is equal to divide the opposite side to angle R (PQ) by the hypotenuse (PR)
so

substitute the values

Find the measure of angle R
using a calculator


Part A) If would probably be smart to use substitution because y is already solved for, so we can substitute the value of y as a function of x into the other equation.
y=7x-8
y=5x-2
7x-8=5x-2
+8 +8
-----------------
7x=5x+6
-5x -5x
----------------
2x=6
/2 /2
-----------
x=3
y=7x-8
y=21-8
y=13
Part B) The lines will intersect at point (3, 13), because idk it just makes sense
935 of the boxes will weigh 25 oz or less.
The z-score for this value is

Looking this up in a z-table (http://www.z-table.com) we see that the probability of something being less than or equal to this value (the area under the curve to the left) is 0.7794.
Multiply this probability by the number of items:
0.7794(1200) = 935.28 ≈ 935.
Answer:
10) 775
Step-by-step explanation:
(310÷2)5= 775