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3 years ago

What is a terminating decimal?

1 answer:

5 0

A terminating decimal has digits that end. They do not go on forever. For example, 0.125 has only 3 decimal digits and does not keep on going like 1/3

A rational number is a number that canbe expressed as p/q where p and q are both integers. But q cannot equal to 0.

All terminating decimals are rational numbers, but not all rational numbers are terminating decimals. For example 1/4, which equals to 0.25 is both a rational number and a terminating decimal. On the other hand, 1/3 is a rational number but is not a terminating decimal.

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In a certain manufacturing process, it is known that, on average, 1 in every 100 items is defective.

Rashid [163]

Answer:

A. 0.009899

B. 0.005624

Step-by-step explanation:

Data:

Let the probability that an item is defective = $\frac{1}{100}$

The probability that the item is not defective = $\frac{99}{100}$

The probability that the fifth item is defective = $\frac{1}{100}* \frac{98}{99}$

= 0.009899

Probability that one in 5 items is defective = 0.005624

5 0

3 years ago

PLEASE HELP!!!! <br><br> Given f(x).... what is lim f(x)?

irakobra [83]

Answer:

$\pi$

Step-by-step explanation:

$Lim_{x \to\pi} f(x)$

$=Lim_{x \to\pi} \pi$

( $\because for\: x =\pi, \: f(x) = \pi$ )

$= \pi$ (Applying limit)

5 0

3 years ago

Suppose that you randomly draw one card from a standard deck of 52 cards. After writing down which card was drawn, you replace t

34kurt

Answer:

The probability is 0.0775

The expected value is 4.75 clubs

The standard deviation is 1.8875 clubs

Step-by-step explanation:

The variable X follows a binomial distribution, because we have n identical and independent events (19 cards) with a probability p of success and 1-p of fail (there is a probability of 1/4 to be club and 3/4 to be diamond, heart or spade). Then, the probability that x of the n cards are club is:

$P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}\\P(x)=\frac{19!}{x!(19-x)!}*0.25^{x}*(0.75)^{19-x}$

So, the probability P of drawing at least 8 clubs is:

P = P(8) + P(9) + P(10) + ... + P(18) + P(19)

Replacing, the values of x, from 8 to 19, on the equation above, we get:

P = 0.0775

Additionally, the expected value E(x) and standard deviationS(x) for this distribution is given by:

E(x)=np = 19(0.25) = 4.75

$S(x)=\sqrt{np(1-p)} =\sqrt{19(0.25)(0.75)} =1.8875$

8 0

3 years ago

A biologist uses a box-shaped fish trap that measures 1/4meter by 2/3meter by 3/5meter. What is the volume of the trap in the cu

Travka [436]

To find the volume of a box-shaped fish trap, we have to multiply the three dimensions of it:

(1/4 m)* (2/3 m)* (3/5 m)

= (1*2*3)/ (4*3*5) m^(3)

= 6/ 60 m^(3)

= 1/10 m^(3)

= 0.1 m^(3)

The volume of the box-shaped fish trap is 0.1 m^(3).

Hope this is helpful~

7 0

2 years ago

Help !!!!!Ella is making a solid clay sculpture in the shape of a cone.

saveliy_v [14]

Answer:

26p of clay.

Hope this helped

5 0

3 years ago

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