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Fynjy0 [20]
3 years ago
11

What is the true solution to 2 In e in5x = 2 In 15?

Mathematics
2 answers:
just olya [345]3 years ago
5 0

Answer:

x = 3

Step-by-step explanation:

Using the rules of logarithms

ln x = ln y ⇒ x = y

ln e = 1

Given

2 ln e ln 5x = 2 ln 15 ( divide both sides by 2 )

ln e ln 5x = ln 15

ln 5x = ln 15, hence

5x = 15 ( divide both sides by 5 )

x = 3

Oduvanchick [21]3 years ago
5 0

Answer:

B. x=3

Step-by-step explanation:

You might be interested in
$25 is 10% of what number
gogolik [260]

Answer:

$250

Step-by-step explanation:

so to find out what you are looking for just take $25 divided by .10 (which is ten percent as a decimal) to get $250

6 0
3 years ago
Suppose that each child born is equally likely to be a boy or a girl. Consider a family with exactly three children. Let BBG ind
Gemiola [76]

Answer:

(a)

S = \{GGG, GGB, GBG, GBB, BBG, BGB, BGG, BBB\}

(b)

i.

1\ girl = \{GBB, BBG, BGB\}

P(1\ girl) = 0.375

ii.

Atleast\ 2 \ girls = \{GGG, GGB, GBG, BGG\}

P(Atleast\ 2 \ girls) = 0.5

iii.

No\ girl = \{BBB\}

P(No\ girl) = 0.125

Step-by-step explanation:

Given

Children = 3

B = Boys

G = Girls

Solving (a): List all possible elements using set-roster notation.

The possible elements are:

S = \{GGG, GGB, GBG, GBB, BBG, BGB, BGG, BBB\}

And the number of elements are:

n(S) = 8

Solving (bi) Exactly 1 girl

From the list of possible elements, we have:

1\ girl = \{GBB, BBG, BGB\}

And the number of the list is;

n(1\ girl) = 3

The probability is calculated as;

P(1\ girl) = \frac{n(1\ girl)}{n(S)}

P(1\ girl) = \frac{3}{8}

P(1\ girl) = 0.375

Solving (bi) At least 2 are girls

From the list of possible elements, we have:

Atleast\ 2 \ girls = \{GGG, GGB, GBG, BGG\}

And the number of the list is;

n(Atleast\ 2 \ girls) = 4

The probability is calculated as;

P(Atleast\ 2 \ girls) = \frac{n(Atleast\ 2 \ girls)}{n(S)}

P(Atleast\ 2 \ girls) = \frac{4}{8}

P(Atleast\ 2 \ girls) = 0.5

Solving (biii) No girl

From the list of possible elements, we have:

No\ girl = \{BBB\}

And the number of the list is;

n(No\ girl) = 1

The probability is calculated as;

P(No\ girl) = \frac{n(No\ girl)}{n(S)}

P(No\ girl) = \frac{1}{8}

P(No\ girl) = 0.125

7 0
3 years ago
Natalie Albert deposited checks totaling $1,735,97 into her savings account. She withdrew $100.00 while
givi [52]
Anything withdrawn you subtract. Then, you know the total and you know what you had. Subtract total from what you had and you will see the change.

1735.97-100=1635.97

1668.71-1635.97=32.74



7 0
2 years ago
A store owner purchases thirty 75-watt light bulbs and 40 fluorescent light bulbs for a total cost of $95. A second purchase, at
N76 [4]

Answer:   75-watt are 30$  fluorescent are 30$ in the second and 65$ in the first

     

Step-by-step explanation: i calculated thirty 75-watt and the fluorescent and got these kinda hard to explain hope i helped:)

7 0
3 years ago
What is the largest number that can be rounded to 2,500 when rounded to the nearest ten?
n200080 [17]
I think it is 2,504.
when you round 2,505 it comes out to 2,510.
8 0
3 years ago
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