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Tpy6a [65]
2 years ago
7

. Una persona desea realizar una pintura para su próxima exposición en donde esta tenga tres colores fluorescentes y dos colores

pastel, al realizar la revisión de su paleta de pintura, este artista cuenta con siete colores fluorescentes y cinco colores pastel. De lo anterior se puede indicar que la cantidad de maneras en que puede realizar la pintura como lo desea es *
A. 305.
B. 350.
C. 405.
D. 450
Mathematics
1 answer:
ycow [4]2 years ago
3 0

Answer: B. 350.

Step-by-step explanation:

Given: Total number of fluorescent colors = 7

Total number of pastel colors = 5

Since , he want three fluorescent colors and two pastel colors.

Number of ways to select r things out of n things = ^nC_r=\dfrac{n!}{r!(n-r)!}

Number of ways to choose colors = ^7C_3\times\ ^5C_2

=\dfrac{7!}{3!4!}\times\dfrac{5!}{2!3!}\\\\=\dfrac{7\times6\times5\times4!}{3\times2\times1\times4!}\times\dfrac{5\times4\times3!}{2\times3!}\\\\=350

Hence, the correct option is B. 350.

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2 years ago
Laboratory experiment shows that the life of the average butterfly is normally distributed with a mean of 18.8 days and a standa
inessss [21]

Answer:

a) 0.4164

Step-by-step explanation:

Mean lifespan (μ) = 18.8 days

Standard deviation (σ) = 2 days

For any given lifespan 'X', the z-score is:

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For X=12.04 days:

z=\frac{12.04 - 18.8}{2} \\z=-3.38

A z-score of -3.38 falls in the 0.036-th percentile of a normal distribution.

For X=18.38 days:

z=\frac{18.38 - 18.8}{2} \\z=-0.21

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6 0
3 years ago
If the volume of a sphere is 256π/3 what is the radius?
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Answer:

4

Step-by-step explanation:

The volume of a sphere is equal to 4/3πr³.

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6 0
2 years ago
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Answer:

600 ft³

Step-by-step explanation:

Base area: B

Base is triangle

base = 12 ft and height = 5 ft

Area of triangle = B = \frac{1}{2}* \ base * \  height

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H = 20 ft

Volume = B * H

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