Answer:
156
Step-by-step explanation:
8x=7x+3
x=3
(8)(3)=24
180-24=156
Revenue and Expense = $230
No. of attendees: 10
Let n be the no. of attendees
Expense = 50 + 18n
Revenue = 23n
Break even when:
50 + 18n = 23n
50 = 5n
n = 10
23n = 230
The mean phenotype code is 2.72
The median phenotype code is 2.52
The mode phenotype code is 2.
The midrange of the phenotype codes is 2.52
B Only the mode makes sense since the data is nominal.
see explanation
Expand both factors and collect like term
Using Pascal' triangle with n = 6 to obtain the coefficients
1 6 15 20 15 6 1
Decreasing powers of 1 from to
Increasing powers of 3x from to
= 1. + 6. + 15. + 20. + 15.1² + 6. + 1.
= 1 + 18x + 135x² + 540x³ + 1215 + 1458 + 729
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= 1 - 18x + 135x² - 540x³ + 1215 - 1458 + 729
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Collecting like terms from both expressions
+
= 2 + 270x² + 2430 + 1458
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(2)
Using Pascal's triangle with n = 5
1 5 10 10 5 1
Increasing powers of 2x from to
= 1. + 5. + 10. + 10. + 5.+ 1.
= 1 + 10x + 40x² + 80x³ + 80 + 32