Answer:
Step-by-step explanation:
- Number of dimes = d, each d = 10 c
- Number of quarters = q, each q = 25 c
- Total = $2 = 200 c
<u>Equations according the given:</u>
<u>Solve for q by substitution:</u>
- 10(q + 6) + 25q = 200
- 10q + 60 + 25q = 200
- 35q = 140
- q = 140/35
- q = 4
<u>Find the value of d:</u>
Nathaniel has 10 dimes and 4 quarters
Answer:
B) 0.85
Step-by-step explanation:
By definition, complementary angles add to 90 degrees.
The given angle 58 degrees is complementary to 90-58 = 32 degrees. The two angles 58 and 32 add to 90.
Therefore, cos(32) = 0.848 = 0.85
<span>FALSE - The domain is all real numbers
TRUE - downward parabola, max-point vertex (-2, 6) So the range is </span><span>{y|y ≤ 6}.</span><span>
TRUE - increases to vertex over the interval (–∞ , –2).
FALSE - The function only decreases from vertex over the interval (−2, ∞).
TRUE - The function has a positive y-intercept.
-(0)^2 - 4(0) + 2 = 2 </span>
Answer:
The probability that each player will receive three picture cards = 0.0324
Step-by-step explanation:
As given,
A deck of 52 cards contains 12 picture cards
Remaining card = 52 - 12 = 40
So,
Total number of ways in which 12 picture card is distributed = 
Now,
The Total number of ways in which Remaining cards are distributed = 
So,
Total number of ways of getting 3 picture card and remaining card =
×
= 
Now,
Total number of ways to distribute 52 cards so that each people get 13 card = 
∴ The probability = 
=
×
=
×
=
×
=
×
= 0.0324
∴ we get
The probability that each player will receive three picture cards = 0.0324
A polyhedron is formed by intersecting planes. That means that each part of its surface is a vertex, edge, or a flat piece of a plane.