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Vedmedyk [2.9K]
3 years ago
5

If twelve pounds of nails cost $3.84,what is the unit cost

Mathematics
2 answers:
ipn [44]3 years ago
5 0
<h2>Answer:</h2>

The unit cost of nails is:

                        $ 0.32 per pound.

<h2>Step-by-step explanation:</h2>

<u>Unit cost--</u>

Unit cost means the cost of producing a single unit of a element.

The cost of 12 pounds of nails is: $ 3.84

Now, we are asked to find the unit cost i.e. the cost of 1 pound of nail.

i.e.

\text{Unit cost}=\dfrac{\text{cost of 12 pounds}}{12}

\text{Cost of 1 pound of nail}=\dfrac{3.84}{12}

Hence,

\text{Cost of 1 pound of nail}=\$\ 0.32

Murljashka [212]3 years ago
3 0

Hey!

---------------------------------------------

Solution:

12 pounds = $3.84

3.84 / 12 = $0.32 per pound

---------------------------------------------

Answer:

$0.32 per pound (unit)

---------------------------------------------

Hope This Helps :)

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Let x be a random variable representing the heights of adult American men. Since it is normally distributed and the population mean and standard deviation are known, we would apply the formula,

z = (x - mean)/Standard deviation

From the information given,

mean = 68

standard deviation = 2.5

The probability that the height of a selected adult is between 63 and 73 is expressed as

P(68\leq x\leq73)

For x = 63,

z = (63 - 68)/2.5 = -2

Looking at the normal distribution table, the probability corresponding to the z score is 0.02275

For x = 73,

z = (73 - 68)/2.5 = 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.97725

Therefore,

P(68\text{ }\leq x\leq73)\text{ = 0.97725 - 0.0}2275\text{ = 0}.9545

Thus, the percentage of men are between 63 and 73 is

0.9545 * 100 = 95.45%

Rounding up to the nearest percentage, the answer is 95%

8 0
1 year ago
Ben earns an annual income of $12,800 a year. The income tax he has to pay is 15%. What is the amount of income tax in dollars a
Alex17521 [72]
<h2>D</h2>

Find 15% of 12,800,

\frac{15}{100} ×\frac{12,800}{1}

= 1,920

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3 years ago
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Answer:

Brainly is a platform that is used to help students in need. There are many social networks that offer socializing with many people from every country in the world.

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you can buy 3 apples at the quick market for $1.05 .You can buy 5 of the same apples at stop and save for $1.00 . which is the b
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Yahoo creates a test to classify emails as spam or not spam based on the contained words. This test accurately identifies spam (
Amiraneli [1.4K]

Answer and Step-by-step explanation:

The computation is shown below:

Let us assume that

Spam Email be S

And, test spam positive be T

Given that

P(S) = 0.3

P(\frac{T}{S}) = 0.95

P(\frac{T}{S^c}) = 0.05

Now based on the above information, the probabilities are as follows

i. P(Spam Email) is

= P(S)

= 0.3

P(S^c) =  1 - P(S)

= 1 - 0.3

= 0.7

ii. P(\frac{S}{T}) = \frac{P(S\cap\ T}{P(T)}

= \frac{P(\frac{T}{S}) . P(S) }{P(\frac{T}{S}) . P(S) + P(\frac{T}{S^c}) . P(S^c) }

= \frac{0.95 \times 0.3}{0.95 \times 0.3 + 0.05 \times 0.7}

= 0.8906

iii. P(\frac{S}{T^c}) = \frac{P(S\cap\ T^c}{P(T^c)}

= \frac{P(\frac{T^c}{S}) . P(S) }{P(\frac{T^c}{S}) . P(S) + P(\frac{T^c}{S^c}) . P(S^c) }

= \frac{(1 - 0.95)\times 0.3}{ (1 -0.95)0.95 \times 0.3 + (1 - 0.05) \times 0.7}

= 0.0221

We simply applied the above formulas so that the each part could come

8 0
3 years ago
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