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2 years ago

Suppose a scientist has 13 liters of acid and she needs 16 liters for an experiment.

Mathematics

1 answer:

vekshin12 years ago

3 0

B cause 13 plus x is equal to the 16 liters that u need and u already have 13 liters

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Dave bought 1.2 pounds of plums for $0.50 per pound he also bought 1.5 pounds of nuts for $2.50 per pound Dave gave the cashier

andre [41]

Answer:

$5.65

Step-by-step explanation:

1.20x0.50=0.60
1.50x2.50=3.75
0.60+3.75=4.35
10.00-4.35
5.65

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2 years ago

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What is the probability of tossing a coin and getting a head 4 times in a row?

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Answer:

Step-by-step explanation:

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The number 312 lies between the perfect cubes

dusya [7]

Answer:

The number 312 lies between the perfect cubes 216 and 343.

So the cube root of 312 lies between the number 6 and 7.

This means that the cube root of 312 is an irrational number because it is not a perfect cube root.

Step-by-step explanation:

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2 years ago

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In converting 10 inches to centimeters, what unit (omit the number) would you place in the numerator of your ratio?

belka [17]

Answer:

centimeters

Step-by-step explanation:

The numerator of the conversion factor always has the "to" units. The denominator has the "from" units. That way, when you multiply, the "from" units cancel:

(xx from) · (yy to)/(zz from) = xx·yy/zz · (from/from) · to = xx·yy/zz · to

Here, you want to convert to centimeters, so centimeters will be the units in the numerator.

10 in · (2.54 cm)/(1 in) = 25.4 cm

_____

The conversion factor is always "1". That is, the numerator and denominator are always equal in value. Here, 2.54 cm = 1 in, so (2.54 cm)/(1 in) = 1. You can multiply by 1 anytime you like. For units conversion, it only has the effect of changing the units.

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3 years ago

nventing is a difficult way to make money. Only 5% of new patents earn a substantial profit. A certain city has just had30 indep

Arlecino [84]

Answer:

$P(X \geq 2) = 1-P(X$

And we can find the individual probabilities using the probability mass function and we got:

$P(X=0) = (30C0) (0.05)^0 (1-0.05)^{30-0} =0.2146$

$P(X=1) = (30C1) (0.05)^1 (1-0.05)^{30-1} = 0.3389$

And replacing we got:

$P(X \geq 2) = 1-P(X$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=30, p=0.05)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

Solution to the problem

For this case we want this probability:

$P(X \geq 2)$

And we can use the complement rule and we got:

$P(X \geq 2) = 1-P(X$

And we can find the individual probabilities using the probability mass function and we got:

$P(X=0) = (30C0) (0.05)^0 (1-0.05)^{30-0} =0.2146$

$P(X=1) = (30C1) (0.05)^1 (1-0.05)^{30-1} = 0.3389$

And replacing we got:

$P(X \geq 2) = 1-P(X$

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2 years ago