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Luba_88 [7]
3 years ago
8

Justin collected data from his classmates on the type of condiment they prefer on their sandwich. Based on the data collected, i

f one hundred boys and one hundred girls are given a sandwich of their choice which statement is true?
9)
Boy Girl
Mayonnaise 12 14
Mustard 18 13
Plain 5 15
Mathematics
2 answers:
Elza [17]3 years ago
6 0
More boys than girls will choose mayonnaise over mustard and plain <span />
Ivenika [448]3 years ago
4 0

Answer:

The answer is C

Step-by-step explanation:

Boy likes mayonnaise:  

12

(12 + 18 + 5)

=  

12 /35

= 0.3429 ≈ 34%

Girl likes mayonnaise:  

14

(14 + 13 + 15)

=  

14 /42

= 0.3333 ≈ 33%

thus,

boys (34 of 100) > girls (33 of 100)

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If Ben invests $4500 at 4% interest per year, how much additional money must he invest at 5 1/2% annual interest to ensure that
pogonyaev

Step \; 1: \; Assing \; variable \; for \; the \; unknown \; that \; we \; need \; to \; find.\\Let \; x \; be \; additional \; money \; invested

Step \; 2: \; Use \; the \; appropriate \; formula \; of \; simple \; interest \; set \; up \; an \; equation\\Interest \; earned \; each \; year = \; Amount \; invested \times annual \; rate \; of \; interest\\\\Amount \; invested \; in \; 4 \% \; rate \; of \; interest=\$4500\\Amount \; invested \; in \; 5\frac{1}{2}\% \; rate \; of \; interest= \$x\\Amount \; invested \; totally \; in \; 4\frac{1}{2}\% \; rate \; of \; interest = \$(4500+x)

Interest \; earned \; in \; 4\% \; interest \; rate\\ = \; 4500(4\%)=180\\Interest \; earned \; in \; 5\frac{1}{2}\% \; interest \; rate\\ = x(5\frac{1}{2}\%)=0.055x\\Interest \; earned \; totally \; in \; 4\frac{1}{2}\% \; interest \; rate = (4500+x)(4\frac{1}{2}\%)\\=0.045(4500+x)

\\\\So, \; the \; equation \; would \; be:\\180+0.055x=0.045(4500+x)

Step \; 1: \; Distribute \; 0.045 \; in \; the \; right \; side\\180+0.055x=202.5+0.045x\\\\Step \; 2: \; Subtract \; 0.045x \; and \; 180 \; on \; both \; sides \; to \; get \; x \; alone\\0.055x-0.045x=202.5-180\\\\Step \; 3: \; Combine \; Like \; Terms\\0.01x=22.5\\\\Step \; 4: Divide \; 0.01 \; on \; both \; sides\\\frac{0.01x}{0.01}=\frac{22.5}{0.01}\\\\Step \; 5: \; Simplifying \; fraction \; on \; both \; sides\\x=2250

\underline{Conclusion:}\\Ben \; should \; invest \; additional \; money \; of \; \$2250

5 0
4 years ago
I need help please !!! <br><br>​
lora16 [44]

Answer: g(4)= -60

Step-by-step explanation:

You just plug in 4 into the equation

g(4)= 2√4 - (4)³

g(4)= 2√4 - (4)³

g(4)= 2·2 - (64)

g(4)= 4 - 64

g(4)= -60

7 0
4 years ago
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