Write each number in standard form 6.7x10 to the 1 power

You draw a card from a standard deck of 52 cards. What is the probability of drawing a

nikklg [1K]

Answer:

1/13

Step-by-step explanation:

There are 4 king cards:

King of Hearts

King of Diamonds

King of Clover

King of Spades

This is 4 cards in a standard deck of 52. Set as a fraction 4/52.

Simplify:

(4/52)/(4/4) = 1/13

1/13 is the probability of drawing a KIng card.

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8 0

3 years ago

Which of the following best describes terms that have the same degree and the same radicand?

brilliants [131]

It is d like fractional terms.

7 0

2 years ago

Read 2 more answers

select the irrational number? A)√9 B)√12 C)√16 D)√20 E)√25 (there should be more than one answer)

GenaCL600 [577]

The answers are:
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[B]: "√12 " ; AND:
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[D]: "√20" .
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Note: "Irrational numbers" have decimals that are: 1) non-terminating; AND: 2) non-repeating.
__________________________
Consider the answer choices given; and consider the given information that there "should be no more than one answer.
__________________________________
Consider the following answer choices:
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Choice A) "√9" = 3 . Rule out this choice.
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Choice C) "√16" = 4 . Rule out this choice.
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Choice E) "√25" = 5. Rule out this choice.
_________________________________
We are left with 2 (two) remaining answer choices:
[B]: "√12" ; and: [D]: "√20" .
_________________________________
If there are more than one answer, then these two choices should be the correct answer. However, let us explore these two choices, using a calculator.
____________________________
[B]: "√12" = 3.4641016151377546

[D]: "√20" = 4.4721359549995794
_________________________________
These two answer choices should the correct answers.

6 0

3 years ago

Witch of the following expression is equivalent to the logarithmic expression below. log(3)5/x^2

BabaBlast [244]

Assuing you mean
$log_{3}(\frac{5}{x^2})$
remember that $log(\frac{a}{b})=log(a)-log(b)$
also, $log(x^m)=(m)log(x)$

so
$log_{3}(\frac{5}{x^2})=$
$log_{3}(5)-log_{3}(x^2)=$
$log_{3}(5)-2log{3}(x)$

the answer is B

4 0

3 years ago

Read 2 more answers

A TV studio has brought in 8 boy kittens and 10 girl kittens for a cat food commercial.

kondor19780726 [428]

Answer:

0.323 = 32.3% probability that the director chooses 3 boy kittens and 5 girl kittens.

Step-by-step explanation:

The kittens are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

A TV studio has brought in 8 boy kittens and 10 girl kittens for a cat food commercial.

This means that $N = 8 + 10 = 18$

We want 3 boys, so $k = 8$

The director is going to choose 8 of these kittens at random to be in the commercial.

This means that $n = 8$

What is the probability that the director chooses 3 boy kittens and 5 girl kittens?

This is P(X = 3).

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 3) = h(3,18,8,8) = \frac{C_{8,3}*C_{10,5}}{C_{18,8}} = 0.323$

0.323 = 32.3% probability that the director chooses 3 boy kittens and 5 girl kittens.

3 0

3 years ago