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konstantin123 [22]
4 years ago
15

Solve for B 5B-3(4-B)=2(B+21) Much appreciated!!!

Mathematics
2 answers:
Naya [18.7K]4 years ago
6 0
B=-3.18 I hope that helps
slega [8]4 years ago
6 0
I will write it out in steps: 5B-12+3B=2B+42 5B+3B-2B=42+12 6B=54 B=9
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MaRussiya [10]
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3 years ago
Simplify:<br><br> √27x^2y^2<br><br> A) 27xy<br> B) 3xy<br> C) 3xy√3<br> D) xy√27
iren2701 [21]

Answer:

\sqrt{27x^2y^2}=3xy\:\sqrt{3}

Hence, option C is correct.

Step-by-step explanation:

Given the expression

\sqrt{27x^2y^2}

simplifying the expression

\sqrt{27x^2y^2}=\sqrt{27}\sqrt{x^2}\sqrt{y^2}

Apply radical rule: \sqrt{a^2}=a,\:\quad \mathrm{\:assuming\:}a\ge 0

               =\sqrt{27}x\sqrt{y^2}

Apply radical rule: \sqrt{a^2}=a,\:\quad \mathrm{\:assuming\:}a\ge 0

                =\sqrt{27}xy

                =xy\sqrt{3^3}

                 =xy\sqrt{3^2\cdot \:\:3}

Apply radical rule: \sqrt{a^2}=a,\:\quad \mathrm{\:assuming\:}a\ge 0

                  =3xy\:\sqrt{3}

Therefore,

\sqrt{27x^2y^2}=3xy\:\sqrt{3}

Hence, option C is correct.

6 0
3 years ago
The number of accidents on a particular highway average 4.4 per year.
MA_775_DIABLO [31]

It is given that number of accidents on a particular highway is average 4.4 per year.

a. Let X be the number of accidents on a particular highway.

X follows Poisson distribution with mean μ =4.4

The probability function of X , Poisson distribution is given by;

P(X=k) = \frac{e^{-4.4} (4.4)^{k}}{k!}

b. Probability that there are exactly four accidents next year, X=4

P(X=4) = \frac{e^{-4.4} (4.4)^{4}}{4!}

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Probability that there are exactly four accidents next year is 0.1917

c. Probability that there are more that three accidents next year is

P(X > 3) = 1 - P(X ≤ 3)

= 1 - [ P(X=3) + P(X=2) + P(X=1) + P(X=0)]

P(X=3) = \frac{e^{-4.4} (4.4)^{3}}{3!}

P(X=3) = 0.1743

P(X=2) = \frac{e^{-4.4} (4.4)^{2}}{2!}

P(X=2) = 0.1188

P(X=1) = \frac{e^{-4.4} (4.4)^{1}}{1!}

P(X=1) = 0.054

P(X=0) = \frac{e^{-4.4} (4.4)^{0}}{0!}

= 0.0122

Using these probabilities into above equation

P(X > 3) = 1 - P(X ≤ 3) = 1 - [ P(X=3) + P(X=2) + P(X=1) + P(X=0)]

= 1 - (0.1743 + 0.1188 + 0.054 + 0.0122)

P(X > 3) = 1 - 0.3593

P(X > 3) = 0.6407

Probability that there are more than three accidents next year is 0.6407

8 0
3 years ago
5x + 5 = 25<br> What is x?
Alexeev081 [22]

Answer:

x = 4

Step-by-step explanation:

5x + 5 = 25

-5           -5

5x = 20

----    ---

5      5

x = 4

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3 years ago
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