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uranmaximum [27]
3 years ago
15

Which of the following shows how the expression below can be factored using the

Mathematics
1 answer:
tino4ka555 [31]3 years ago
6 0

Answer:

B

Step-by-step explanation:

Given

6p³ - 12p² + 9p ← factor out 3p from each term

= 3p(2p² - 4p + 3) → B

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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
3 years ago
Divide:<br><br> 16)160<br><br> A. 10<br><br> B. 11<br><br> C. 16<br><br> D. 26<br><br> E. 100
grin007 [14]

Answer:

10

Step-by-step explanation:

your welcome...............

3 0
3 years ago
What is the solution of the following system of equations 5x+7y=3, 2x=-3y+1
ANTONII [103]

Answer:

point form: (2,-1)

equation form: x=2,y=-1

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What is the greatest common factor of 16ab3 + 4a2b + 8ab ?
ziro4ka [17]

Answer:

2ab(3b^2+2a+4)

Step-by-step explanation:

6ab^3 + 4a^2b + 8ab

2*3*a*b*b^2 +2*2*a*a*b +2*2*2*a*b

Factor out the common terms

2ab( 3*b^2 +2*a +2*2)

2ab(3b^2+2a+4)

5 0
3 years ago
it takes Sarah 50 minutes to walk to her friends house 1 3/4 miles away. What is her walking pace in miles per hour?
RideAnS [48]
50 minutes= 5/6 hr

(1 3/4 miles)/ (5/6 hr)= 2.1 miles/hr

Hope this would help~
3 0
3 years ago
Read 2 more answers
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