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aleksklad [387]
3 years ago
15

While preparing his budget sheet richard Smith noticed that his annual expenses were 18800 while his monthly living expenses wer

e 400 more than his monthly fixed expenses if Richard total monthly expenses were 4350 find his monthly fixed expenses and his monthly living expenses
Mathematics
1 answer:
PIT_PIT [208]3 years ago
8 0

Answer:

Monthly Living Expense = 2375

Monthly Fixed Expense = 1975

Step-by-step explanation:

Let monthly living expense be "x"

and monthly fixed expense be "y"

<u>"monthly living expenses were 400 more than his monthly fixed expenses":</u>

x = 400 + y

<u>"Richard total monthly expenses were 4350":</u>

x + y = 4350

Putting Equation 1 in Equation 2:

(400 + y) + y = 4350

400 + 2y = 4350

2y = 3950

y = 1975

Now, x = 400 + y = 400 + 1975 = 2375

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Our class has 50 students. Assuming that no students are born on leap days (February29), what is the probability that no two stu
madreJ [45]

Answer:  a) \dfrac{799}{31250}  b) \dfrac{30451}{31250}

Step-by-step explanation:

Since we have given that

Number of days in a year = 365

Number of students = 50

Probability that no two students share the same birthday. It means each student has different birthday.  

Probability(no two students share the same birthday)=\dfrac{365-1}{365}\times \dfrac{365-2}{365}........\times \dfrac{365-50}{365}

Probability(no two students share the same birthday)=\dfrac{^{365}P_{50}}{365^{50}}

Probability(no two students share the same birthday)=\dfrac{799}{31250}\approx 0.025568

Probability that at least one of the students has the same birthday as another student in the class is given by

1-P(\text{no student share the same birthday})\\\\=1-\dfrac{799}{31250}\\\\=\dfrac{30451}{31250}=0.974432

5 0
4 years ago
Please help me with this IXL! Thanks
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4 0
3 years ago
Raul is paid $75 per week plus $5 for each new gym membership he sells. He may switch to a gym that pays $50 per week and $7.50
rosijanka [135]
Answer:
11 memberships

Step-by-step:
Gym 1 = 75+5m
Gym 2 = 50+7.5m

75+5m=50+7.5m
-50 from both sides
25+5m=7.5m
-5m from both sides
25=2.5m
divide both sides by 2.5
10=m
for 10therefor 75+5m<50+7.5m he must sell 11 memberships.
5 0
3 years ago
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