Step-by-step explanation:
As we can see it a right angled triangle
so <y =90°
Now
3x + 11° + 25° + 90° = 180°{being sum of angles of triangle}
3x + 126° = 180°
3x = 54°
X = 18°
Answer:
(-6,-9)
Step-by-step explanation:
The answer would be choice C.
Perpendicular lines cross each other and form a right angle as you can see marked in the third picture.
Answer:
0.86
Step-by-step explanation:
The z-score we need to make the comparison is given by
where
= the standard deviation established in the study
n = the sample size
and for the Normal distribution N(0,1) we want to find
<em>P(X > -1.0801)
</em>
By using a spreadsheet or the table attached, we find that
P(X > -1.0801) = 0.86
(See picture attached)
Answer:
production cost f(x), in dollars, for x number of units produced by company 1:
f(x) = 0.05x^2 − 7x + 300
2) Table that represents the production cost g(x), in dollars, for x number of units produced by company 2:
x g(x)
0.6 899.58
0.8 899.52
1 899.50
1.2 899.52
1.4 899.58
3) Comparison: do a table for f(x) with the same x-values of the table for g(x).
x f(x) = 0.05x^2 − 7x + 300 g(x)
0.6 295.818 899.58
0.8 294.432 899.52
1 293.05 899.50
1.2 291.672 899.52
1.4 290.298 899.58
As you can see the values of f(x) are consistently lower than the values of g(x) for the same x-values.
The minimum production cost for company 2 is around 899.50 at x = 1, while the minimum production cost of company 1 is defintely lower (lower than 292.298 for sure, in fact if you find the vertex it is 55).
Answer: Based on the given information, the minimum production cost for company 2 is greater.
Step-by-step explanation: