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gtnhenbr [62]
3 years ago
9

A random sample of 10 subjects have weights with a standard deviation of 11.0482 kg. What is the variance of their​ weights? Be

sure to include the appropriate units with the result.
Mathematics
1 answer:
Paladinen [302]3 years ago
7 0

Answer:

The variance is 122.0627 kg

Step-by-step explanation:

The square of the standard deviation of a distribution gives us the variance.

If a random sample of 10 subjects have weights with a standard deviation of 11.0482 kg.

Then the standard deviation is

{ \sigma} = 11.0482

To get the variance, we square both sides to get;

{ \sigma}^{2}  = 11.0482^{2}

This implies that,

{ \sigma}^{2}  = 122.0627kg

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An object is launched from a launching pad 208 ft. above the ground at a velocity of 192ft/sec. what is the maximum height reach
loris [4]

Answer:

The maximum height is 784 feet

Step-by-step explanation:

In this problem we use the kinematic equation of the height h of an object as a function of time

h(t) = -16t ^ 2 + v_0t + h_0

Where v_0 is the initial velocity and h_0 is the initial height.

We know that

v_0 = 192\ \frac{ft}{sec}

h_0 = 208\ ft.

Then the equation of the height is:

h(t) = -16t ^ 2 + 192t +208

For a quadratic function of the form ax ^ 2 + bx + c

where a

the maximum height of the function is at its vertex.

The vertice is

x = -\frac{b}{2a}\\\\y = f(\frac{-b}{2a})

In this case

a = -16\\b = 192\\c = 208

Then the vertice is:

t = -\frac{192}{2(-16)}\\\\t = 6\ sec

Now we calculate h (6)

h(6) = -16(6) ^ 2 +192(6) +208\\\\h(6) = 784\ feet

The maximum height is 784 feet

8 0
3 years ago
Use the function g(x) = -5x + 17 to answer the questions.
Kazeer [188]

Answer:

42

Step-by-step explanation:

g(-5)=-5.-5+17

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Dina took 12 hours to read a 600 page book What was her page per minute rate?
jok3333 [9.3K]

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A customer buys 3 bottles of water for ninety-nine cents each seven percent tax on each bottle what is the total bill
anzhelika [568]
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The power P produced by a wind turbine is directly proportional to the cube of the wind speed S. A wind speed of 37 miles per ho
vfiekz [6]

Answer:the output for a wind speed of 40 miles per hour is 810.8 kilowatts.

Step-by-step explanation:

The power P produced by a wind turbine is directly proportional to the cube of the wind speed S. This means that

P is directly proportional to S

Introducing a constant of proportionality, k, it becomes

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The expression becomes

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Therefore, the output for a wind speed of 40 miles per hour would be

P = 20.27 × 40

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6 0
3 years ago
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