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3 years ago

What is the surface area of a rectangular prism with a length of 14 feet, width of 7 feet, and height of 8 feet?

Mathematics

1 answer:

gladu [14]3 years ago

3 0

Answer:

A = 532 ft^2 total

Step-by-step explanation:

There are 3 sets of 2 identical areas: 2 top/bottom, 2 sides, 2 ends.

Suppose the length is 14 ft, the width 7 ft and the height 8 ft.

A = 2 * (base area) + 2 * (end area) + 2 (side area)

= 2 * (98 ft^2) + 2 * (56 ft^2) + 2 (112 ft^2)

= 196 ft^2 + 112 ft^2 + 224 ft^2

A = 532 ft^2 total

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Step-by-step explanation:

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3 years ago

Read 2 more answers

A slitter assembly contains 48 blades. Five blades are selected at random and evaluated each day of sharpness. If any dull blade

Alex73 [517]

Answer:

Part a

The probability that assembly is replaced the first day is 0.7069.

Part b

The probability that assembly is replaced no replaced until the third day of evaluation is 0.0607.

Part c

The probability that the assembly is not replaced until the third day of evaluation is 0.2811.

Step-by-step explanation:

Hypergeometric Distribution: A random variable x that represents number of success of the n trails without replacement and M represents number of success of the N trails without replacement is termed as the hypergeometric distribution. Moreover, it consists of fixed number of trails and also the two possible outcomes for each trail.

It occurs when there is finite population and samples are taken without replacement.

The probability distribution of the hyper geometric is,

$P(x,N,n,M)=\frac{(\limits^M_x)(\imits^{N-M}_{n-x})}{(\limits^N_n)}$

Here x is the success in the sample of n trails, N represents the total population, n represents the random sample from the total population and M represents the success in the population.

Probability that at least one of the trail is succeed is,

$P(x\geq1)=1-P(x$

(a)

Compute the probability that the assembly is replaced the first day.

From the given information,

Let x be number of blades dull in the assembly are replaced.

Total number of blades in the assembly N = 48.

Number of blades selected at random from the assembly n= 5

Number of blades in an assembly dull is M = 10.

The probability mass function is,

$P(X=x)=\frac{[\limits^M_x][\limits^{N-M}_{n-x}]}{[\limits^N_n]};x=0,1,2,...,n\\\\=\frac{[\limits^{10}_x][\limits^{48-10}_{5-x}]}{[\limits^{48}_5]}$

The probability that assembly is replaced the first day means the probability that at least one blade is dull is,

$P(x\geq 1)=1- P(x$

(b)

From the given information,

Let x be number of blades dull in the assembly are replaced.

Total number of blades in the assembly N = 48

Number of blades selected at random from the assembly N = 5

Number of blades in an assembly dull is M = 10

From the information,

The probability that assembly is replaced (P) is 0.7069.

The probability that assembly is not replaced is (Q) is,

$q=1-p\\= 1-0.7069= 0.2931$

The geometric probability mass function is,

$P(X = x)= q^{x-1} p; x =1,2,....=(0.2931)^{x-1}(0.7069)$

The probability that assembly is replaced no replaced until the third day of evaluation is,

$P(X = 3)=(0.2931)^{3-1}(0.7069)\\=(0.2931)^2(0.7069)= 0.0607$

(c)

From the given information,

Let x be number of blades dull in the assembly are replaced.

Total number of blades in the assembly N = 48

Number of blades selected at random from the assembly n = 5

Suppose that on the first day of the evaluation two of the blades are dull then the probability that the assembly is not replaced is,

Here, number of blades in an assembly dull is M = 2.

$P(x=0)=\frac{(\limits^2_0)(\limits^{48-2}_{5-0})}{\limits^{48}_5}\\\\=\frac{(\limits^{46}_5)}{(\limits^{48}_5)}\\\\= 0.8005$

Suppose that on the second day of the evaluation six of the blades are dull then the probability that the assembly is not replaced is,

Here, number of blades in an assembly dull is M = 6.

$P(x=0)=\frac{(\limits^6_0)(\limits^{48-6}_{5-0})}{(\limits^{48}_5)}\\\\=\frac{(\limits^{42}_5}{(\limits^{48}_5)}\\\\= 0.4968$

Suppose that on the third day of the evaluation ten of the blades are dull then the probability that the assembly is not replaced is,

Here, number of blades in an assembly dull is M

= 10.

$P(x\geq 1)=1- P(x$

The probability that the assembly is not replaced until the third day of evaluation is,

P(The assembly is not replaced until the third day)=P(The assembly is not replaced first day) x P(The assembly is not replaced second day) x P(The assembly is replaced third day)

=(0.8005)(0.4968)(0.7069)= 0.2811

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4 years ago

Name the quantity measured by each of the seven si base units and give the si symbol of the unit

Nikolay [14]

Answer:

Length , time, mass, current, temperature, amount of mass, luminous intesity

m, sec, kg, A, K, mol, cd

Step-by-step explanation:

Seven basic SI units are used for measurement of

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Second for time

Kilogram for mass

Ampere for current

Kelvin for temperature

Mole for amount of mass

Candela for luminous intensity

Symbols of these SI units are

m for meter

sec for second

kg for kilogram

A for ampere

K for kelvin

mol for mole

cd for candela

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3 years ago

Hi! The question is in the is in the picture :) (worth 50 points)

Reika [66]

Answer:

53.2

Step-by-step explanation:

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2 years ago

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o-na [289]

Answer:

Step-by-step explanation:

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2 years ago

What is the surface area of a rectangular prism with a length of 14 feet, width of 7 feet, and height of 8 feet?​

What is the surface area of a rectangular prism with a length of 14 feet, width of 7 feet, and height of 8 feet?