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3 years ago

BRAINLIEST FOR WHOEVER SOVLES FIRST AND GIVES A GOOD REASON.

Mathematics

1 answer:

natulia [17]3 years ago

6 0

X=60
That’s the answer

What I did to get it
(3x-60)=120
+60. +60
3x =180
————. = 60
3

X=60

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Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a king and

STALIN [3.7K]

Answer:

0.0181 probability of choosing a king and then, without replacement, a face card.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Probability of choosing a king:

There are four kings on a standard deck of 52 cards, so:

$P(A) = \frac{4}{52} = \frac{1}{13}$

Probability of choosing a face card, considering the previous card was a king.

12 face cards out of 51. So

$P(B|A) = \frac{12}{51}$

What is the probability of choosing a king and then, without replacement, a face card?

$P(A \cap B) = P(A)P(B|A) = \frac{1}{13} \times \frac{12}{51} = \frac{1*12}{13*51} = 0.0181$

0.0181 probability of choosing a king and then, without replacement, a face card.

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3 years ago

Expanding Logarithmic Expressions In Exercise, use the properties of logarithms to rewrite the expression as the sum, difference

kicyunya [14]

Answer:

$\\ ln(x^2) - ln(x^2 + 1)$ .

For values of x>0, it can be rewritten as $\\ 2ln(x) - ln(x^2 + 1).$

Step-by-step explanation:

For the expression:

$\\ ln(\frac{x^2}{x^2 + 1})$

We can apply this logarithmical property: $\\ ln(\frac{x}{y}) = ln(x) - ln(y).$

Then,

$\\ \frac{x^2}{x^2 + 1} = ln(x^2) - ln(x^2 + 1).$

If we assume values of <em>x </em>> 0 (non negative values for x), then the expression could be rewritten as follows:

$\\ \frac{x^2}{x^2 + 1} = ln(x^2) - ln(x^2 + 1) = 2 ln(x) - ln(x^2 + 1)$ , since $\\ ln(x^{n}) = n*ln(x).$

We have to remember that <em>domain</em> (all possible values x) for logarithmic function is for all x > 0, or mathematically expressed as:

Domain: $\\ {x | x \in R, x > 0}$

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3 years ago

What is the surface area of this shape

Arlecino [84]

Answer:

54 i think

Step-by-step explanation:

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3 years ago

The temperature in Toronto, Canada, dropped over three hours from 0 °F to -33 °F. If the temperature dropped the same amount eac

professor190 [17]

Answer:

The temp. dropped 11 degrees each hour.

Step-by-step explanation:

33 divided by 3 is 11

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3 years ago

A company makes a profit of $50 per software program and $35 per video game. The company can produce at most 200 software progra

NARA [144]

Answer:

200- software (x) 225- video game (y) = 425 items

Step-by-step explanation:

software- 200 = $10,000 video-225 = $7,875

total= $17,875

200x + 225y = $17,875

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2 years ago