This = P(message is from Steven) = number of messages from steven / total number of messages from previous night
= 5 / (4+11+5+9+24) = 5/53 Answer
surface area (S) of a right rectangular solid is:
S = 2*L*W + 2*L*H + 2*W*H (equation 1)
where:
L = length
W = width
H = height
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you have:
L = 7
W = a
H = 4
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formula becomes:
S = 2*7*a + 2*7*4 + 2*a*4
simplify:
S = 14*a + 56 + 8*a
combine like terms:
S = 22*a + 56
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answer is:
S = 22*a + 56 (equation 2)
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to prove, substitute any value for a in equation 2:
let a = 15
S = 22*a + 56 (equation 2)
S = 22*15 + 56
S = 330 + 56
S = 386
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since a = 15, then W = 15 because W = a
go back to equation 1 and substitute 15 for W:
S = 2*L*W + 2*L*H + 2*W*H (equation 1)
where:
L = length
W = width
H = height
-----
you have:
L = 7
W = 15
H = 4
-----
equation 1 becomes:
S = 2*7*15 + 2*7*4 + 2*15*4
perform indicated operations:
S = 210 + 56 + 120
S = 386
-----
surface area is the same using both equations so:
equations are good.
formula for surface area of right rectangle in terms of a is:
S = 22*a + 56
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Answer:
9 down, 5 right, compression by factor of 2, reflection across the x- axis
Step-by-step explanation:
Answer:
Step-by-step explanation:
Total number of balls = 3 + 2 = 5
1)
a)
b)
c)
Probability of at least one black( means BB or BW or WB)
d)
Probability of at most one black ( means WW or WB or BW)
2)
a) Probability both black without replacement
b) Probability of one black and one white
c) Probability of at least one black ( BB or BW or WB)
d) Probability of at most one black ( BW or WW or WB)
Answer:
Negative 4 and one-third divided by -3/4
Step-by-step explanation:
-4 1/3 / - 3/4
-4(3) +1 = -13/4
Divided by -3/4
-13/4 (-4/3) = 52/12
4 and 1/3
