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3 years ago

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Maya is hiking down a mountain after one hours she is at 500 feet elevation and after three hours she is at 300 feet elevation

1 answer:

g100num [7]3 years ago

7 0

Answer:

Maya is hiking down at a speed of 100 feet per hour.

Step-by-step explanation:

Given that Maya is hiking down a mountain, and after one hours she is at 500 feet elevation while after three hours she is at 300 feet elevation, to determine the speed at which Maya is hiking down the following calculation must be performed:

3-1 = 2

500-300 = 200

200/2 = 100

Thus, Maya is hiking down at a speed of 100 feet per hour.

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Determine whether there is a difference between the two data sets that is not apparent from a comparison of the measures of cent

Iteru [2.4K]

Answer:

It seems the question is incomplete as the two data sets implied from the question are not visible.

However, two data sets having identical measures of center have a difference.

Step-by-step explanation:

Let's consider these two data sets:

2, 2, 3, 5, 6, 6 and 1, 1, 1, 1, 1, 19

Both were contrived.

The most reliable among the measures of center is the mean. The mean of each is calculated by summing the data and dividing by the number of elements. In both sets, the mean is 4.

The data in the first set seem to be concentrated around the mean indeed. But for the second data set, one of them, 19, is obviously very far from the others and the mean. We need another measure to describe this: standard deviation.

Its formula is:

$\rho=\sqrt{\dfrac{\sum (x-\overline{x})^2}{n}}$

$x$ represents each data, $\overline{x}$ is the mean and $n$ is the number of items. $x-\overline{x}$ is the deviation from the mean of each data item.

For the first data set, $\rho=\sqrt{6}=2.45$

For the second data set,

$\rho=\sqrt{45}=6.71$

The low value of $\rho$ for the first set indicates that the items are all closer to the mean than for the second set.

Variance is the square of the standard deviation. It could also be used.

7 0

3 years ago

The area of the regular pentagon is 6.9 cm2. What is the perimeter? 2 cm 5 cm 10 cm 20 cm

disa [49]

Given

Area of the regular pentagon is 6.9 cm².

Find out the perimeter of a regular pentagon

To proof

Formula

Area of regular pentagon is

$= \frac{1}{4}\sqrt{5(5+2\sqrt{5})}\ a^{2}$

As given in the question

area of regular pentagon = 6.9 cm²

now equating the area value with the area formula.

$6.9 =\frac{1}{4}\sqrt{5(5+2\sqrt{5})} a^{2}$

Now put

√5 = 2.24 ( approx)

put in the above equation

$\frac{6.9\times 4}{\sqrt{5(5+2\times2.24)}}=a^{2}\\\frac{27.6}{\sqrt{47.4}}=a^{2}\\\frac{27.6}{6.88}=a^{2}$

thus

a² = 4.01

a = √ 4.01

a = 2.0 cm ( approx)

As perimeter represented the sum of all sides.

i.e regular pentagon have five sides of equal length.

Thus

perimeter of the regular pentagon = 5 × side length

= 5 ×2.00

therefore the perimeter of the regular pentagon = 10cm

option c is correct

Hence proved

3 0

4 years ago

Read 2 more answers

By the distributive law 49×17+49×3

Harman [31]

Answer:

Explanation:
(49 x 17) + (49 x 3)
833 + 147 = 980

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3 years ago

1 million selfies taken each day on average, 48% are posted How many selfies are posted to the site each day?

Igoryamba

Answer:

480,000

Step-by-step explanation:

1,000,000 x 0.48 = 480,000

480,000 = 48% of 1 million

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3 years ago

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Un joven retira el 25% de sus ahorros y gasta el 33.3% en adornos para su

ki77a [65]

Answer:

$3003.2

Step-by-step explanation:

Step 1

Paso 1

Averiguamos cuánto era el 25% de sus ahorros.

Se nos dice en la pregunta que gastó el 33.3% en decoraciones para su nueva casa y si los adornos cuestan $ 250.00.

Esto significa

33.3 % × x = 250

33.3 x/ 100 = 250

Cruz multiplicar

33.3x = 250 × 100

x = 25.000 / 33.3

x = 750.75075075

Por lo tanto, la cantidad o el costo de los adornos = 33.3% del 25% de sus ahorros = $ 750.8

Paso 2

De la pregunta:

Un joven retira el 25% de sus ahorros y

Por lo tanto:

Sea y = monto total de sus ahorros

25/100 × y = $ 750.8

25y = 100 × 750.8.

y = 100 × 750.8 / 25

y = $ 3003.2

Por lo tanto, tenía $ 3003.2 en su cuenta.

6 0

3 years ago