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3 years ago

11

Solve the equation. 6x - 2 = 3 + 2x

2 answers:

Anestetic [448]3 years ago

7 0

Answer:

1.25

Step-by-step explanation:

6x-2=3+2x

Move the variable to the left hand side and change the sign

6x-2x-2=3

6x-2x=3+2

4x=3+2

4x=5

x=1.25

kari74 [83]3 years ago

3 0

Answer is shown in the image below. Can I get brainliest pls :)

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Anastaziya [24]

Answer:

a) $P(X \leq 3) = 0.99328$

b) 0.6957

Step-by-step explanation:

Let X represent the number of 4's when n = 5 independent spins

each has a probability of 0.2 (i.e p = 0.2)

This notation is represented as:

X $\approx$ Binomial (n = 5, p = 0.2)

Probability of $x$ number of 4's is:

$P(X=x)= (\left \ n \atop x \right) p^x (1-p)^{(n-x)}$

here; $(\left \ n \atop x \right)$ is the combinatorial expression

$(\left \ n \atop x \right)$ = $\frac{n!}{x!(n-x)!}$

$P(X \leq3), n =5 , p = 0.2$

$P(X \leq3) = 1-P(X > 3)$

So; let's first find:

$P(X > 3)$

$= P(3$

$P(X = 4) =( \left \ {{5} \atop {4}} \right. ) (0.2)^4 (1-0.2)^1 \\ \\ P(X = 4) = 5(0.2)^4(0.8)^1 \\ \\ P(X = 4) = 0.0064$

$P(X = 5) =( \left \ {{5} \atop {5}} \right. ) (0.2)^5 (1-0.2)^0 \\ \\ P(X = 5) = 5(0.2)^5(0.8)^0 \\ \\ P(X = 5) = 0.00032$

$P (X=4)+P(X = 5 ) \\ \\ = 0.0064 + 0.00032 = 0.006720 \\ \\ \approx 0.007$

$P(X > 3 ) = 0.00672 \\ \\ P(X \leq 3) = 1- P(X > = 3 ) \\ \\ =1 - 0.00672 \\ \\ = 0.99328$

$P(X \leq 3) = 0.99328$

b)

Given that:

The ratio of boys to girls at birth in Singapore is quite high at 1.09:1

What proportion of Singapore families with exactly 6 children will have at least 3 boys?

Probability of having a boy = $\frac{1.09}{1+1.09}$ = 0.5215

Binomial Problem with n = 6

P(3<= x <=6) = 1 - P(0<= x <=2)

= 1 - binomial (6,0.5215,2)

= 0.6957

5 0

3 years ago

What is 6 to the power of 2 divided by 2 times 3 plus 4

lidiya [134]

$6^{2}$ ÷ $2*3+4$

You use the order of operations with PEMDAS

P⇒Parentheses

E⇒Exponents

M⇒Multiplication

D⇒Division

A⇒Addition

S⇒Subtraction

$6^{2}$ ⇒ $6*6=36$

$36*3=108$

$108$ ÷ $2=54$

$54+4=58$

Answer: 58

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4 years ago

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pickupchik [31]

Answer:

the correct option is<u> d) 72</u>

Step-by-step explanation:

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first multiply numerator and then solve the fraction

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$=\frac{216}{3}$

solve the fraction,

$=72$

∴The equivalent expression of $216\times \frac{1}{3}$ is 72

Hence, the correct option is<u> d) 72</u>

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Anettt [7]

Answer:

Step-by-step explanation:

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madreJ [45]

Answer:

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