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3 years ago

Del enunciado: " De cada 2 conejos, hay 5 gallinas" ¿cuál es la razón entre gallinas y total de animales? *

Mathematics

1 answer:

Advocard [28]3 years ago

7 0

Answer:

La razón entre el número de gallinas y el total de animales es: $\frac{5}{7}$

Step-by-step explanation:

La razón es una comparación entre dos magnitudes comparables.

En otras palabras, la razón es el cociente entre dos números o dos cantidades comparables entre sí, expresado como fracción.

En este caso, la cantidad total de animales es la suma de la cantidad de conejos y la cantidad de gallinas:

2 conejos + 5 gallinas= 7 animales

Entonces la razón entre el número de gallinas y el total de animales es: $\frac{5}{7}$

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The simple interest will not always be less than the compound interest on a set of money borrowed.

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Answer:

False

Step-by-step explanation:

Simple interest is the percentage rate that a borrower pays to borrow money for a set period of time, whereas compound interest is calculated on top of what has already been borrowed, which means that as time passes, more and more interest charges accumulate until repayment begins. e. when a borrower pays interest on the principal plus interest charges that have accrued.

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2 years ago

The results of a national survey showed that on average, adults sleep 6.7 hours per night. Suppose that the standard deviation i

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Answer:

a) Atleast 75%

b) Atleast 88.9%

c) 95%

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 6.7

Standard Deviation, σ = 1.6

Chebyshev's Theorem:

Atleast $1 - \dfrac{1}{k^2}$ percent of data lies within k standard deviation of mean.

Empirical Rule:

Almost all the data lies within 3 standard deviation for a normal data.
Around 68% of data lies within 1 standard deviation of mean.
Around 95% of data lies within 2 standard deviation of mean.
Around 99.7% of data lies within 3 standard deviations o mean.

a) minimum percentage of individuals who sleep between 3.5 and 9.9 hours

$3.5 = \mu - 2\sigma = 6.7 - 2(1.6)\\9.9 = \mu + 2\sigma = 6.7 + 2(1.6)$

We have to find the percent of data lying within 2 standard deviation of mean.

Putting k = 2

$1 - \dfrac{1}{(2)^2} = 0.75 = 75\%$

Atleast 75% of of individuals who sleep between 3.5 and 9.9 hours.

b) minimum percentage of individuals who sleep between 2.7 and 10.7 hours

$2.7 = \mu - 3\sigma = 6.7 - 3(1.6)\\10.7 = \mu + 3\sigma = 6.7 + 3(1.6)$

We have to find the percent of data lying within 3 standard deviation of mean.

Putting k = 3

$1 - \dfrac{1}{(3)^2} = 0.889 = 88.9\%$

Atleast 88.9% of of individuals who sleep between 2.7 and 10.7 hours.

c) percentage of individuals who sleep between 3.5 and 9.9 hours per day.

Thus, we have to find the percentage of data lying within 2 standard deviation.

By empirical rule, around 95% of data lies within 2 standard deviation.

Thus, 95% of of individuals who sleep between 3.5 and 9.9 hours.

This is higher than the percentage obtained from Chebyshev's rule.

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3 years ago

You asked your classmates to name their favorite type of music. You found that 12 students like rock, 8 like rap, 6 like R&B

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First we should write the total numbers:
12+8+6+4=30
then we should divide the number 30 by 360(because the pie chart is 360 degrees):
$360 \div 30 = 12$

now we should multiply 12(the number of students who likes rock) by 12
$12 \times 12 = 144$
the answer is 144 degrees

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3 years ago

A park in a subdivision has a triangular shape. Two adjacent sides of the park are 533 feet and 525 feet. The angle between the

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Hopes this helps u good luck