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GenaCL600 [577]
2 years ago
15

7 10 mm 6 mm 7 mm I need help to solve this

Mathematics
2 answers:
zalisa [80]2 years ago
6 0

Length = 6 mm

Height = 7 mm

Width = 10 mm

<h3>We know that,</h3>

\boxed{\rm Surface\:area\:of\:rectangle=2(LB)+2(BH)+2(HL)}

  • <em>Plug in the given values!~</em>

\sf \nrightarrow \: SA = 2 \times (6 \times 10) + 2 \times (7 \times 10) + 2 \times (6 \times 7)

\sf \nrightarrow \: SA = 2 \times 60 + 2 \times 70 + 2 \times 42

\sf \nrightarrow \: SA = 120 + 140 + 84

\tt \multimap \: SA = 344 \:  {mm}^{2}

Svetach [21]2 years ago
4 0

Solution:

<u>Note that:</u>

  • Surface area: 2(LB) + 2(BH) + 2(LH)

<u>Substitute the values given into the expression to find the surface area.</u>

  • 2(7 x 10) + 2(6 x 6) + 2(6 x 10)
  • => 2(70) + 2(36) + 2(60)
  • => 140 + 72 + 120
  • => 332 mm²

The surface area of the rectangular prism is 332 mm².

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Suppose that lithium calculator battery with a charge of 3 volts, actually has a voltage with uniform distribution between 2.93
Dmitrij [34]

Answer:

b. E(X) = 3.015, STDEV(X)= 0.049, P (X ≤ 2.98) = 0.2941

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The mean of the uniform probability distribution is:

M = \frac{a + b}{2}

The standard deviation of the uniform distribution is:

S = \sqrt{\frac{(b-a)^{2}}{12}}

The probability that we find a value X lower than x is given by the following formula.

P(X \leq x) = \frac{x - a}{b-a}

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This means that a = 2.93, b = 3.1. So

Mean:

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Standard deviation:

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What is the probability that a battery has a voltage less than 2.98?

P(X \leq 2.98) = \frac{2.98 - 2.93}{3.1 - 2.93} = 0.2941

So the correct answer is:

b. E(X) = 3.015, STDEV(X)= 0.049, P (X ≤ 2.98) = 0.2941

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3 years ago
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