We have been given that :-
The length of a parasite in experiment A is
The length of a parasite in experiment B is
Let us write the the length of the parasite in experiment A in the exponent of -3.
Clearly, the length of parasite in experiment A is greater than the length of parasite in experiment B.
The difference in the length is given by
Therefore, the length of the parasite in experiment A is inches greater than the length of the parasite in experiment B.
Answer:
Area of circle is calculated by:
A = pi x radius^2 = pi x 14^2 = 615.75 (m2)
Hope this helps!
:)
Answer:
(8,1)
Step-by-step explanation:
When flipping across the y axis, the y coordinate stays the same, while the x coordinate changes it's sign.
(x,y) - > (-x,y)
(-x,y) -> (x,y)
The probability of an event A occurring given that B has occurred is
P(A | B) = P(A and B) / P(B)
a. By the definition above,
P(spade | black) = P(spade and black) / P(black)
- P(black) = 26/52 = 1/2 because 26 of the 52 cards have a black suit
- All spade cards are black, so P(spade and black) = P(spade) = 13/52 = 1/4
Then P(spade | black) = (1/4) / (1/2) = 1/8.
b. We can do the same breakdown as in (a), or we can make use of the definition of conditional probability
P(A | B) = P(A and B) / P(B) = (P(B | A) * P(A)) / P(B)
Then
P(black | spade) = (P(spade | black) * P(black)) / P(spade)
- P(black) = 1/2
- P(spade) = 1/4
- P(spade | black) = 1/8
Then P(black | spade) = (1/8 * 1/2) / (1/4) = 1/64.
c. By definition,
P(7 | black) = P(7 and black) / P(black)
- P(7 and black) = 1/52 because this is a unique card
- P(black) = 1/2
Then P(7 | black) = (1/52) / (1/2) = 1/104.
d. By definition,
P(king | face) = P(king and face) / P(face)
- All kings are face cards, so P(king and face) = P(king) = 4/52 = 1/13
- P(face) = 12/52 = 3/13
Then P(king | face) = (1/13) / (3/13) = 1/3.
Answer:
Second option
Step-by-step explanation:
(16/36) × (x⁴/x^-2) × (y^-3/y) × (z⁴/z⁰)
= (4/9) × (x^4+2) × (1/y^3+1) × (z⁴/1)
= (4/9) × x⁶ × 1/y⁴ × z⁴
= [4x⁶z⁴]/(9y⁴)
= 4x⁶z⁴ ÷ 9y⁴