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Studentka2010 [4]
3 years ago
14

Write each expression in standard notation.

Mathematics
1 answer:
slava [35]3 years ago
8 0

Answer:

A.23

B. 145

C. 185.4

D. 68

E.72.8 with a decimal and 728 without a decimal which ever one is it

Step-by-step explanation:

mark brainleist pls

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When studying radioactive material, a nuclear engineer found that over 365 days,
Gnom [1K]

Answer:

a) The mean number of radioactive atoms that decay per day is 81.485.

b) 0% probability that on a given day, 50 radioactive atoms decayed.

Step-by-step explanation:

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\lambda}*\lambda^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\lambda is the mean in the given interval.

a. Find the mean number of radioactive atoms that decayed in a day.

29,742 atoms decayed during 365 days, which means that:

\lambda = \frac{29742}{365} = 81.485

The mean number of radioactive atoms that decay per day is 81.485.

b. Find the probability that on a given day, 50 radioactive atoms decayed.

This is P(X = 50). So

P(X = 50) = \frac{e^{-81.485}*(81.485)^{50}}{(50)!} = 0

0% probability that on a given day, 50 radioactive atoms decayed.

5 0
2 years ago
Simplify the expression 8x-2x+12x-3
aev [14]

Answer:

18x - 3

Step-by-step explanation:

Add all the X values

8x + -2x + 12x = 18x

Put the final numbers on the side.

-3

18x-3

7 0
3 years ago
the length of one of the diagonals of a quadrilateral is 10 cm and the particular drawn from the opposite vertices to this diago
loris [4]

Answer:

Therefore the area of the quadrilateral =35 cm²

Step-by-step explanation:

Given, the length of one of diagonal of quadrilateral is 10 cm and perpendicular drawn from the opposite vertices to this diagonal are the length of 2.8 cm and 4.2 cm.

A diagonal divided a quadrilateral into two triangle.

Therefore the area of the quadrilateral

= sum of the area of the triangles

=(\frac{1}{2}\times 10\times 2.8+ \frac{1}{2}\times 10\times 4.2)cm²      [ area of a triangle= \frac{1}{2}\times base\times height]

=35 cm²

3 0
3 years ago
How long will it take Lola to travel from Paris to nice?
djyliett [7]

5 hours if you convert 180 kilometers to meters its 180,000 meters. 180,000 meters time 5 is 900,000

3 0
3 years ago
How do i do parallel lines and transversals
Natasha_Volkova [10]
A transversal is a line that intersects two or more other lines. When it intersects parallel lines, many angles are congruent. Parallel lines<span> are two </span>lines<span> that are always the same distance apart and never touch.</span>
5 0
3 years ago
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