Answer:
21
Step-by-step explanation:
3 tables are 4-seated table and 4 tables are 6-seated table.
<u>Step-by-step explanation</u>:
Let us assume,
The 4 seats table be type A table and the 6 seats table be type B table.
- The number of type A seat = x
- The number of type B seat = y
- Total table rented = 7 tables
- Total people in party = 36 people
x+y = 7 --------(1)
4x+6y = 36 -------(2)
Multiply (1) by 6 and subtract (2) from (1)
6x+6y = 42
- (<u>4x+6y = 36</u>)
<u> 2x = 6 </u>
x = 6/2
x = 3
The number of 4 seated table is 3.
Substitute x=3 in (1)
3+y = 7
y = 4
The number of 6 seated table is 4.
Answer: Our required probability is 0.7273.
Step-by-step explanation:
Since we have given that
Actually successful Actually failure Total
Predicted successful 0.4 0.15 0.55
Predicted failure 0.1 0.35 0.45
Total 0.5 0.50 1
Probability that the market research firm would predict that it would be success.
P(Actual success|Predicted success) is given by
Hence, our required probability is 0.7273.
Suzette ran for 1.6 hours and biked for 2.4 hours.
Let x = total hours Suzette ran.
Let y = total hours Suzette biked.
The equation to solve the question will be:
x + y = 4 ...... i
6.5x + 14y = 44.75 ....... ii
From i, y = 4 - x
Put the value of y into equation ii
6.5x + 14y = 44.75
6.5x + 14(4 - x) = 44.75
6.5x + 56 - 14x = 44.75
Collect like terms
6.5x - 14x = 44.75 - 56
-7.5x = -11.25
x = 11.25/7.5
x = 1.6 hours
Since x + y = 4
1.6 + y = 4
y = 4 - 1.6
y = 2.4 hours.
Suzette ran for 1.6 hours and biked for 2.4 hours.
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