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Alborosie
2 years ago
9

4 m 5 m 3 m surface area =

Mathematics
1 answer:
scoundrel [369]2 years ago
7 0

Answer:94 m^2

Step-by-step explanation:

surface area equation for rectangle is 2*(a*b + a*c + b*c)

where a=4 b=5 and c=3

so substitute in all numbers and get:

Surface Area = 2×(4×5 + 4×3 + 5×3)

do the maths and got a solid 94 meters

(I squared because in this equation you are multiplying numbers that equal the area of a surface and not the whole volume which would be cubed)

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Damm [24]

Answer:

(a) The probability distribution is valid.

(b) The probability that x = 30 is 0.30.

Step-by-step explanation:

The probability distribution of the random variable <em>X</em> is:

<em>    x</em>:  20   |  25  |  30   |   35

f (<em>x</em>): 0.20 | 0.15 | 0.30 | 0.35

(a)

The properties of a probability distribution are:

  1. 0 ≤ P (X) ≤ 1
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All the probability value are more than 0 and less than 1.

Compute the sum of all the probabilities as follows:

\sum P(X)=0.20+0.15+0.30+0.35=1

The sum of all probabilities is 1.

Thus, the probability distribution is valid.

(b)

Consider the probability distribution table.

The probability of <em>X</em> = 30 is,

P (X = 30) = 0.30.

Thus, the probability that x = 30 is 0.30.

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3 years ago
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The percentage of the radioactive isotope left is 25.0000%.

<h3>What is the half life?</h3>

The half life of a radioactive isotope is the time that will elapse before only half of the number of original isotopes will remain.

Now;

We are told that;

Half life (t1/2) = 55 days

Time taken (t) =  115 days

Ratio of isotope remaining = N/No

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N/No = (1/2)^115/55

N/No = (1/2)^2

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Hence, the percentage = 1/4 * 100/1 = 25.0000%

Learn more about half life of an isotope:brainly.com/question/16387602

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Answer:

This cannot be solved but it can be simplified

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