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3 years ago

Consider the sequence of steps to solve the equation 3(x-4)+5x=9x-36

Mathematics

1 answer:

liubo4ka [24]3 years ago

8 0

Answer:

Simplification of the given expression gives value of x = 24.

Step-by-step explanation:

Here, the given expression is 3(x-4)+5x=9x-36

Now, by DISTRIBUTIVE PROPERTY:

A ( B - C ) = AB - AC

Simplifying the given expression step by step ,we get:

3(x-4)+5 x = 9 x - 36 ⇒ 3(x) - 3(4) + 5x = 9x - 36

or, 3x - 12 + 5x = 9x - 36

⇒ 8x - 9x = -36 + 12

or, - x = - 24

⇒ x = 24

Hence, the the simplification of the given expression, the value of x = 24.

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In a certain country, the true probability of a baby being a girl is 0.469. Among the next seven randomly selected births in th

-BARSIC- [3]

Answer:

The probability is 0.995 ( approx ).

Step-by-step explanation:

Let X represents the event of baby girl,

The probability of a baby being a girl is, p = 0.469,

So, the probability of a baby who is not a girl is, q = 1 - 0.469 = 0.531,

Also, the total number of experiment, n = 7

Thus, by the binomial distribution formula,

$P(x)=^nC_x(p)^x q^{n-x}$

Where, $^nC_x=\frac{n!}{x!(n-x)!}$

The probability that all babies are girl or there is no baby boy,

$P(X=7)=^7C_7(0.469)^7(0.531)^{7-7}$

$=0.00499125661758$

Hence, the probability that at least one of them is a boy = 1 - P(X=7)

= 1 - 0.00499125661758

= 0.995008743382

≈ 0.995

8 0

3 years ago

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AveGali [126]

Answer:

Hello! Your answer would be BELOW

Step-by-step explanation:

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3 years ago

The triangles shown are similar.

valkas [14]

15, because 3 goes into 9, 3 times and, 4 goes into 12, 3 times therefore x has to follow this rule because these 2 triangles are similar and because it already gives you 5 just take 5*3=15 there is your answer enjoy!=)

6 0

3 years ago

Read 2 more answers

Which inequality correctly compares Two-fifths, Six-sevenths, Five-eighths, and 1?

Ronch [10]

Answer:

2/5 < 5/8 < 6/7 < 1

OR

1 > 6/7 > 5/8 > 2/5

Step-by-step explanation:

It is required to compare Two-fifths, Six-sevenths, Five-eighths, and 1

Two-fifths = 2/5

Six-sevenths = 6/7

Five-eighths = 5/8

So, the given numbers are: 2/5, 6/7, 5/8, and 1

We need to make the numbers in order from the least to the greatest or from the greatest to the least

The easy method is convert the rational numbers to decimal numbers

So,

2/5 = 0.4

6/7 ≈ 0.857

5/8 = 0.625

1 = 1

So, the numbers form the least to the greatest are:

0.4 , 0.625 , 0.857 , 1

So,

2/5 , 5/8 , 6/7 , 1

The inequality correctly compares the numbers are:

2/5 < 5/8 < 6/7 < 1

Or can be written from the greatest to the least as:

1 > 6/7 > 5/8 > 2/5

6 0

3 years ago

Simplify so it's in slope-intercept form (y=mx+b) y - 125 = 55(x - 2)

AlexFokin [52]

Answer:

y = 55x + 15

Step-by-step explanation:

i think this is it, but it might not be right

4 0

3 years ago