Answer:
41
Step-by-step explanation:
Given
(7 + 2 )(7 - 2
) ← expand factors using FOIL
= 7² - 2 + 2
- (2
)² ← collect like terms
= 49 - 8
= 41
please help all the answers are to the right each answer goes into a box match it correctly (: tysm i mark brainliest
1 answer:
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Answer:
a) 0.0498
b) 0.1489
c) 0.1818
Step-by-step explanation:
Given:
Number of telephones = 6+6+6= 18
6 cellular, 6 cordless, and 6 corded.
a) Probability that all the cordless phones are among the first twelve to be serviced:
12 are selected from 18 telephones, possible number of ways of selection = ¹⁸C₁₂
Then 6 cordless telephones are serviced, the remaining telephones are: 12 - 6 = 6.
The possible ways of selecting thr remaining 6 telephones = ¹²C₆
Probability of servicing all cordless phones among the first twelve:
= (⁶C₆) (⁶C₁₂) / (¹⁸C₁₂)
b) Probability that after servicing twelve of these phones, phones of only two of the three types remain to be serviced:
Here,
One type must be serviced first
The 6 remaining to be serviced can be a combination of the remaining two types.
Since there a 3 ways to select one type to be serviced, the probability will be:
= 3 [(⁶C₁)(⁶C₅) + (⁶C₂)(⁶C₄) + (⁶C₃)(⁶C₃) + (⁶C₄)(⁶C₂) + (⁶C₅)(⁶C₁)] / ¹⁸C₁₂
c) probability that two phones of each type are among the first six:
(⁶C₂)³/¹⁸C₆
Answer:
24 in
Step-by-step explanation:
From the question,
The formula for finding the volume of a rectangular prism is
V = l×w×h...................... Equation 1
Where l = length, w = width, h = height.
From the question, we were told that the length of the prism is three times the height.
i.e,
l = 3h....................... Equation 2
Substitute equation 2 into equation 1
V = 3h×w×h
V = 3h²w............... Equation 3
Given: V = 103680 in³, w = 60 in
Substitute these values into equation 3 and solve for h
103680 = 3(h²)(60)
103680 = 180h²
h² = 103680/180
h² = 576
h =
h = 24 in.
Hence the height of the raised garden is 24 in