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juin [17]
3 years ago
10

How many ounces of gold are in aa 1414​-karat gold chain that weighs 2.52.5 ​ounces?

Mathematics
2 answers:
svp [43]3 years ago
6 0

Solution:

we have been asked to find

How many ounces of gold are in aa 14​-karat gold chain that weighs 2.5 ​ounces?

14 -Karat Gold means 14 parts of gold in the 24 parts of the Gold chain.

So the ratio of pure gold is \frac{14}{24} =\frac{7}{12}

So the pure gold in 2.5 ​ounces of gold chain can be given as  below

Gold=\frac{7}{12}*2.5=1.458333

Hence there is 1.5 Ounce of pure gold in the 14​-karat gold chain that weighs 2.5 ​ounces.


Andreas93 [3]3 years ago
3 0
Pure gold is 24 karats.
14-karat gold is 14/24 pure gold.

2.5 oz * 14/24 = 1.458333... oz
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Given a data set consisting of 33 unique whole number observations, its five-number summary is:
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Answer:

given a data set of 33 unique whole number observation,its five number sumary is [16, 29, 40 ,54, 67]

Step-by-step explanation:

The p-th percentile in an ordered (from low to high) data set is a value such that p% of the data is less than that value. The quartiles of a data set are the 25th, 50th and 75th percentiles. (The 25th percentile is usually called the first quartile, the 50th percentile is usually called the median, and the 75th percentile is usually called the third quartile.)

The formula for finding the location (or position) of the (approximate) pth percentile in an ordered (from low to high) data set is  

L p=(n+1).p/100

For example, in the data set  [2,4,6,8,10,12,14,16,18]

the (approximate) 60th percentile is located at position  

L 60=(9+1).60/100=6

that is, the sixth data point (the value 12) is at the (approximate) 60th percentile.(Actually, only 55.6% of the data is below a 12.)

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3 years ago
At 2063 ft, the KVLY-TV tower in North Dakota is the world’s tallest supported tower. How long would it take an object to fall f
IgorLugansk [536]
Use the equation of motion under gravity:-

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2063 = 16t^2

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You roll a 6-sided die with faces numbered 1 through 6, and toss a coin. What is the probability of rolling a 2 or getting heads
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P(2 or H) = P(2) + P(H) - P(2 and H)  

What is the probability of getting a 2 P(2)?  = 1/6

What is the probability of getting heads P(H)?  = 1/2

P(2 and H) is the product of those two events since the events are independent. = 1/6 * 1/2 = 1/12

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5 0
3 years ago
in the unted states, the height of men are normally distributed with the mean 69 inches and standard deviation 2.8 inches. If 16
yaroslaw [1]

Answer:

Probability that their mean height is less than 68 inches is 0.0764.

Step-by-step explanation:

We are given that in the united states, the height of men are normally distributed with the mean 69 inches and standard deviation 2.8 inches.

Also, 16 men are randomly selected.

<em>Let </em>\bar X<em> = sample mean height</em>

The z-score probability distribution for sample mean is given by;

              Z = \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \mu = population mean height = 69 inches

            \sigma = population standard deviation = 2.8 inches

            n = sample of men = 16

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, probability that the mean height of 16 randomly selected men is less than 68 inches is given by = P(\bar X < 68 inches)

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<em>Now, in the z table the P(Z  x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.43 in the z table which has an area of 0.92364.</em>

Therefore, probability that their mean height is less than 68 inches is 0.0764.

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