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3 years ago

What is the volume of the given prism? Round the answer to the nearest tenth of a centimeter. The figure is not drawn to scale.

Mathematics

2 answers:

stiks02 [169]3 years ago

7 0

To find the volume of a rectangular prism, multiply the 3 side lengths by each other.

Volume = 7.9 x 6.3 x 12.4 = 617.148 cubic cm.

Rounded to the nearest tenth = 617.2 cubic cm.

GrogVix [38]3 years ago

6 0

Answer: $617.1\text{ cm}^3$

Step-by-step explanation:

In the given picture, we have a rectangular prism.

Height : 7.9 cm

Length = 12.4 cm

Width = 6.3 cm

The volume of a rectangular prism is given by :-

$V=l\times w\times h$ , where l is length, w is width and h is height of the prism.

Now, the volume of a rectangular prism will be :-

$V=12.4\times 6.3\times 7.9\\\\\Rightarrow\ V=617.148\approx617.1\text{ cm}^3$

Hence, the volume of a rectangular prism = $617.1\text{ cm}^3$

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antoniya [11.8K]

Step-by-step explanation:

The question is not properly structured but we can as well find the sum of 5/7 and 10 as shown;

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Hence the expression written in equivalent form of common denominator is $\frac{5 + 70}{7}$

The sum is $10 \frac{5}{7}$

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3 years ago

Suppose that 10% of all homeowners in an earthquake-prone area of California are insured against earthquake damage. Four homeown

guapka [62]

Remainder of question:

Find the probability distribution of x

Answer:

The random variable x is defined as: X = {0, 1, 2, 3, 4}

The probability distribution of X:

P(X = 0) = 0.656

P(X = 1) = 0.2916

P(X= 2) = 0.0486

P(X=3) = 0.0036

P(X = 4) = 0.0001

Step-by-step explanation:

Sample size, n = 4

Random variable, X = {0, 1, 2, 3, 4}

10% (0.1) of the homeowners are insured against earthquake, p = 0.1

Proportion of homeowners who are not insured against earthquake, q = 1 - 0.1

q = 0.9

Probability distribution of x,

$P(X = r) = ^nC_r *p^r q^{n-r} \\\\P(X= 0) =(^4C_0 *p^1 q^4 )\\P(X=0) = (^4C_0 *0.1^0 0.9^4 ) = 0.656\\P(X= 1)= (^4C_1 *p^1 q^3 )\\P(X=1) = (^4C_1 *0.1^1 0.9^3 ) = 0.2916\\P(X= 2)=( ^4C_2 *p^2 q^2) \\P(X=2) = (^4C_2 *0.1^2 0.9^2 ) = 0.0486\\P(X= 3) = (^4C_3 *p^3 q^3) \\ P(X=3) = (^4C_3 *0.1^3 0.9^1 ) = 0.0036\\P(X= 4) = (^4C_4 *p^4 q^0 )\\ P(X=4) =(^4C_4 *0.1^4 0.9^0 ) = 0.0001$

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3 years ago

Using a property of operations, what can you say about the sums of (-13.2) + 8.1 and 13.2 + (-8.1)

Wewaii [24]

They are opposites of each other.
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3 years ago

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seraphim [82]

Answer:

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Step-by-step explanation:

if A+n=180

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n=180-165

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2 years ago

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astraxan [27]

Answer:

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Step-by-step explanation:

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3 years ago

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