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Alecsey [184]
3 years ago
15

A rectangular prism has a length of 734 inches, a width of 312 inches, and a height of 6 inches. Mario has a storage container f

or the prism that has a volume of 165 cubic inches. What is the difference in volume between the prism and the storage container?
Mathematics
1 answer:
fredd [130]3 years ago
8 0

Answer: 27.6\ in.^3

Step-by-step explanation:

Given

Length of Prism is l= 7.34\ in.

The width of Prism is w=3.12\ in.

The height of Prism is h=6\ in.

The volume of a The height rectangular prism is given as

V=l\times w\times h

Substituting values we get

\Rightarrow V=7.34\times 3.12\times 6=137.404\ in.^3

Volume of storage V_s=165\ in.^3

The difference in volume is

\Rightarrow 165-137.404=27.59\approx 27.6\ in.^3

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Keith_Richards [23]

Answer:

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Step-by-step explanation:

Coordinates of the vertices of the given triangle PSV,

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S → (3, 4)

V → (3, 0)

Slope of the segment between two points (x_1,y_1) and (x_2,y_2) is given by,

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6 0
3 years ago
"The manager for State Bank and Trust has recently examined the credit card account balances for the customers of her bank and f
yuradex [85]

Answer:

a

   P(X = 4 ) = 0.1876

b

   P(X \le 4)  =  0.8358

Step-by-step explanation:

From the question we are told that

The proportion that has outstanding balance is p = 0.20

The sample size is n = 15

Given that the properties of the binomial distribution apply, for a randomly selected number(X) of credit card

X \  \ ~ Bin (n , p )

Generally the probability of finding 4 customers in a sample of 15 who have "maxed out" their credit cards is mathematically represented as

P(X = 4 ) =  ^nC_4 * p^4 * (1 - p)^{n-4}

=> P(X = 4 ) =  ^{15}C_4 * (0.20)^4 * (1 - 0.20)^{15-4}

Here C stand for combination

=> P(X = 4 ) = 0.1876

Generally the probability that 4 or fewer customers in the sample will have balances at the limit of the credit card is mathematically represented as

P(X \le 4) =  [ ^{15}C_0 * (0.20)^0 * (1 - 0.20)^{15-0}]+[ ^{15}C_1 * (0.20)^1 * (1 - 0.20)^{15-1}]+\cdots+[ ^{15}C_4 * (0.20)^4 * (1 - 0.20)^{15-4}]

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4 0
3 years ago
This shape is made using three semicircles The smaller semicircle have diameters of 10cm Calculate the shaded area Take 3.142 an
CaHeK987 [17]

Answer:

The shaded area is 314.2 cm²

Step-by-step explanation:

Here we have the diameter, d₁ of the smaller semicircles as 10 cm

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1 shaded small semicircle and the other is blank

Therefore, the diameter, d₂ of the large semicircle = 10 + 10 = 20 cm

Also the area of the shaded figure consists of the removal of one small semicircle and the addition of the other semicircle to the area of the larger semicircle such that the area of the shaded figure is as follows

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Shaded area = 314.2 cm².

6 0
3 years ago
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