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shepuryov [24]
3 years ago
7

Which term can be combined in the expression below? check all that apply. 5/6a - 2b - 16.3 + b/12 + c - 0.9b

Mathematics
2 answers:
Citrus2011 [14]3 years ago
8 0
The answers are options 2, 4, and 6.
Law Incorporation [45]3 years ago
5 0

Answer:

Option 2nd , 4th and 6th correct

-2b, \frac{b}{12} and -0.9b

Step-by-step explanation:

Like terms are those terms which have same variable to the same power.

Given the expression:

\frac{5}{6}a-2b-16.3+\frac{b}{12}+c-0.9b

Combine like terms;

\frac{5}{6}a+b(-2+\frac{1}{12}-0.9}-16.3+c

Simplify:

\frac{5}{6}a-2.81666667b-16.3+c

Therefore, the  term can be combined in the given expression is,

-2b, \frac{b}{12} and -0.9b

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48. 20% of 60 euros would be 12 euros. Decreasing it means to subtract, so 60 - 12 = 48
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3 years ago
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You always need some time to get up after the alarm has rung. You get up from 10 to 20 minutes later, with any time in that inte
Mama L [17]

Answer:

a) P(x<5)=0.

b) E(X)=15.

c) P(8<x<13)=0.3.

d) P=0.216.

e) P=1.

Step-by-step explanation:

We have the function:

f(x)=\left \{ {{\frac{1}{10},\, \, \, 10\leq x\leq 20 } \atop {0, \, \, \, \, \, \,  otherwise }} \right.

a)  We calculate  the probability that you need less than 5 minutes to get up:

P(x

Therefore, the probability is P(x<5)=0.

b) It takes us between 10 and 20 minutes to get up. The expected value is to get up in 15 minutes.

E(X)=15.

c) We calculate  the probability that you will need between 8 and 13 minutes:

P(8\leq x\leq 13)=P(10\leqx\leq 13)\\\\P(8\leq x\leq 13)=\int_{10}^{13} f(x)\, dx\\\\P(8\leq x\leq 13)=\int_{10}^{13} \frac{1}{10} \, dx\\\\P(8\leq x\leq 13)=\frac{1}{10} \cdot [x]_{10}^{13}\\\\P(8\leq x\leq 13)=\frac{1}{10} \cdot (13-10)\\\\P(8\leq x\leq 13)=\frac{3}{10}\\\\P(8\leq x\leq 13)=0.3

Therefore, the probability is P(8<x<13)=0.3.

d)  We calculate the probability that you will be late to each of the 9:30am classes next week:

P(x>14)=\int_{14}^{20} f(x)\, dx\\\\P(x>14)=\int_{14}^{20} \frac{1}{10} \, dx\\\\P(x>14)=\frac{1}{10} [x]_{14}^{20}\\\\P(x>14)=\frac{6}{10}\\\\P(x>14)=0.6

You have 9:30am classes three times a week.  So, we get:

P=0.6^3=0.216

Therefore, the probability is P=0.216.

e)  We calculate the probability that you are late to at least one 9am class next week:

P(x>9.5)=\int_{10}^{20} f(x)\, dx\\\\P(x>9.5)=\int_{10}^{20} \frac{1}{10} \, dx\\\\P(x>9.5)=\frac{1}{10} [x]_{10}^{20}\\\\P(x>9.5)=1

Therefore, the probability is P=1.

3 0
2 years ago
13=X/4<br><br> A. 13/4<br><br> B. 4/13<br><br> C. 52<br><br> D. 9
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Answer:

Hi! The answer to your question is C. 52

Step-by-step explanation:

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Hope this helps!

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alekssr [168]

Answer:

B

Step-by-step explanation:

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The loan amount will equal to 304,215.75
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