Answer:
7. C(N(h))=33hx+460h
8. about $13.94 is the cost
Step-by-step explanation:
7. C(x)=(33x+460)(N(h))=(N(40)h)--C(x)=(33x+460)(40h)--C(x)=1320hx+18400h--simplified to C(N(h))=33hx+460h
8. C(N(10))=33(10)x+460(10)--C(N(10))=330x+4600--4600/330=about13.94
Answer:
y + 2 = -2(x - 3)^2
Step-by-step explanation:
We can see immediately that the vertex is at (3, -2).
The vertex form of the equation of a parabola is
y - k = a(x - h)^2.
If the parabola opened upward, the equation would be y + 2 = 2(x - 3)^2. But seeing that this particular parabola opens downward, the equation is
y + 2 = -2(x - 3)^2.
Check: Does the point (2, -4) satisfy this equation?
-4 + 2 = -2(2 - 3)^2 becomes -2 = -2(-1)^2, which is true.
Since A and B are the midpoints of ML and NP, we can say that AB is parallel to MN and LP. In order to find ∠PQN, we can work with the triangles PQB and NQB. According to SAS (Side-Angle-Side) principle, these triangles are congruent. BQ is a common side for these triangles and NB=BP and the angle between those sides is 90°, i.e, ∠NBQ=∠PBQ=90°. After finding that these triangles are equal, we can say that ∠BNQ is 45°. From here, we easily find <span>∠PQN. It is 180 - (</span>∠QNP + ∠NPQ) = 180 - 90 = 90°
The root of an equation is the same as the solution to the equation.
:)
To solve this problem, we make use of the formula for
Confidence Interval:
Confidence Interval = X ± z * σ / sqrt (n)
where X is the mean value, z is the z score which is taken
from the standard tables, σ is the standard deviation, and n is the number of
samples
z = 1.645 (at 90% Confidence Level)
Substituting the values into the equation:
Confidence Interval = 94 ± 1.645 * 12 / sqrt (70)
Confidence Interval = 94 ± 2.36
Confidence Interval = 91.64, 96.36
Therefore at 90% confidence level, the blood pressure
reading ranges from 91.64 mmHg to 96.36 mmHg.
