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3 years ago

How long is the rail? Round your answer to the nearest tenth.

Mathematics

1 answer:

ziro4ka [17]3 years ago

8 0

Answer:

D. 15.7 yards

Step-by-step explanation:

The safety rail makes a curved side of a quarter circle.

The length of the safety rail = circumference of the curved part only of a quarter circle = ¼*2πr

Where,

radius = 10 yards

π = 3.14

Plug in the values

= ¼*2*3.14*10

= 15.7 yards.

✅The rail is 15.7 yards long.

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3 years ago

Identify the restrictions on the domain of f(x) = quantity x plus 5 over quantity x minus 2. x ≠ 5 x ≠ −5 x ≠ 2 x ≠ −2

horsena [70]

Answer: Third option.

Step-by-step explanation:

By definition, Rational Functions have the following form:

$f(x)=\frac{P(x)}{Q(x)}$

Where $P(x)$ and $Q(x)$ are polynomials.

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In this case, you have the following Rational Function:

$f(x)=\frac{x+5}{x-2}$

The Restrictions of the Domain can be found applying this steps:

- Make the denominator equal to 0:

$x-2=0$

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$x=2$

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Therefore, the answer is:

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8 0

3 years ago

Please help me compute standard deviation! Here is the problem, as written.

aleksandr82 [10.1K]

Answer:

The standard deviation for the income of super shoppers is 76.12.

Step-by-step explanation:

The formula to compute the standard deviation for the grouped data probability distribution is:

$\sigma=\sqrt{\sum [(x-\mu)^{2}\cdot P(x)]}$

Here,

<em>x</em> = midpoints

$\mu=\sum x\cdot P(x)$

Consider the Excel table attached below.

The mean is:

$\mu=\sum x\cdot P(x)=32.3$

Compute the standard deviation as follows:

$\sigma=\sqrt{\sum [(x-\mu)^{2}\cdot P(x)]}$

$=\sqrt{259.71}\\\\=76.1155204\\\\\approx 76.12$

Thus, the standard deviation for the income of super shoppers is 76.12.

3 0

3 years ago