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choli [55]
3 years ago
10

What is the probability that the card drawn is a diamond and a jack​

Mathematics
1 answer:
SpyIntel [72]3 years ago
4 0

Answer:

1/26=4/104

Step-by-step explanation:

The probability of pulling a diamond if completely shuffled properly, is a 1/4. Because there are 4 suits. This is only if, there are no jokers.

And the probability of pulling a jack, is a 4/51. Because there are 4 jacks out of the 51 cards, but you already pulled out a diamond card, so you take 1 out.

Multiply them together, and you will get 4/104 = 1/26

There is a 1/26 chance of pulling out a diamond card, then a jack.

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A wooden crate in the shape of a cube has a volume of 1
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ANSWER

B. 8

EXPLANATION

Volume of wooden crate is

\frac{1}{27}  {ft}^{3}

The cubic blocks have side length,

l =  \frac{1}{6} ft

The volume of each cubic blocks is,

v =  {l}^{3}

=  ( \frac{1}{6} )^{3}  =  \frac{1}{216}

Number of blocks that can go into the crate is,

= \frac{ \frac{1}{27} }{ \frac{1}{216} }

=  \frac{1}{27}  \times  \frac{216}{1}

= 8 \: blocks

3 0
2 years ago
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A factory that manufactures bolts is performing a quality control experiment. Each object should have a length of no more than c
disa [49]

Answer:

There is sufficient evidence. A further explanation is provided below.

Step-by-step explanation:

According to the question,

The alternative as well as null hypothesis will be:

H_0:\mu = 16

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The test statistics will be:

⇒ z = \frac{\frac{\bar x - \mu}{\sigma} }{\sqrt{n} }

By putting the values, we get

⇒    =\frac{\frac{16.06-16}{0.24} }{\sqrt{96} }

⇒    =\frac{\frac{0.06}{0.24} }{\sqrt{96} }

⇒    =2.45

Or,

The p-value will be:

= 0.0071

i.e.,

⇒ p-value< \alpha

Thus the above is the correct answer.

6 0
3 years ago
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Answer:

whole number and a fraction

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Step-by-step explanation:

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