Answer:
A. 1/2.
B. 15/26.
Step-by-step explanation:
Note when you have an 'OR' in the statement we <u>add </u>the probabilities.
A . Club or a diamond . There are 13 clubs and 13 diamonds so
The Required Probability = 13/52 + 13/52
= 1/4 + 1/4 = 1/2.
B. There are 4 jacks and 26 black cards.
The Required Probability = 4/52 + 26/52
= 1/13 + 1/2
= 2/26 + 13/26
= 15/26.
I think the answer is c) 4,1 .
W= width
L= length= 2W-4
Perimeter= 70
FIND WIDTH:
P= 2(L + W)
P= 2L + 2W
substitute 2W-4 for L
70= 2(2W-4) + 2W
multiply 2 by all in parentheses
70= (2*2W) + (2*-4) + 2W
70= 4W - 8 + 2W
combine like terms
70= 6W - 8
add 8 to both sides
78= 6W
divide both sides by 6
13= W
FIND LENGTH:
substitute w=13 to find width
L= 2W-4
L= 2(13)-4
L= 26-4
L= 22
CHECK:
P= 2(L + W)
70= 2(22 + 13)
70= (2*22) + 2(13)
70= 44 + 26
70= 70
ANSWER:
length= 22 inches
width= 13 inches
Hope this helps! :)
Answer:
<h2>10</h2>
Step-by-step explanation:
Given the function f(x, y) = 2 sin(xy) at (0,5), the maximum rate of change of the function at that point will occur in the direction 

Hence, the magnitude of the maximum rate of the function at the point (0, 5) is 10
Answer:y=-6x+1
Step-by-step explanation: