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2 years ago

The standard deviation of a population is known to be 7.8. If The sample size is 85, what is the standard error of the mean?

Mathematics

1 answer:

enot [183]2 years ago

6 0

The given standard deviation of a population (σ) = 7.8

sample size (N) = 85

We have to find standard error of the mean.

The formula to find standard error of the mean

= (standard deviation of the distribution) / (square root of sample size)

= (σ) / (√N)

= 7.8 / (√85)

= 7.8 / 9.219544457

= 0.8460

= 0.85 (approximately taken to two decimal places)

We have got the required answer.

The standard error of the mean is 0.85.

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At higher altitudes, water boils at lower temperatures. This relationship between altitude and boiling point is linear. At an al

Mashutka [201]

Let's assume

boiling point is y

altitude is x

we are given

This relationship between altitude and boiling point is linear

At an altitude of 1000 feet, water boils at 210°F

so, first point is (1000,210)

so, x1=1000 , y1=210

At an altitude of 3000 feet, water boils at 206°F

so, second point is (3000,206)

so, x2=3000,y2=206

now, we can find slope

$m=\frac{y_2-y_1}{x_2-x_1}$

now, we can plug values

$m=\frac{206-210}{3000-1000}$

$m=-\frac{1}{500}$

now, we can use point slope form of line

$y-y_1=m(x-x_1)$

so, we can plug it

$y-210=-\frac{1}{500}(x-1000)$

so, point slope form of line is

$y-210=-\frac{1}{500}(x-1000)$

now, we can plug x=8000

and then we can solve for y

$y-210=-\frac{1}{500}(8000-1000)$

$y=196$

So,

the boiling point of water at an altitude of 8000 feet is 196°F..........Answer

4 0

2 years ago

Read 2 more answers

Find the product of 9 and 12

Fantom [35]

Product means to multiply.
Simply
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3 years ago

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Você é um comandante de uma espaçonave. Sua missão é chegar até Alfa Centauro em cinco anos. A distância do Sol até Alfa Centaur

Deffense [45]

Answer:

The spaceship will get to Alpha Centaur in time

Step-by-step explanation:

<u><em>The complete question in English is</em></u>

You're the commander of a spaceship. Your mission is to reach Alpha Centaur in five years. The distance from the sun to Alpha Centaur is 2.5 x 10^13 miles. The distance from Earth to Sun is approximately 9.3 x 10^7

miles. Your spaceship can travel at the speed of light. You know that light can travel a distance of 5.88 x 10^12 miles in a year. Can you get to Alpha Centaur in time?

step 1

Find the time it takes for the spaceship to travel from Earth to the Sun

The distance from the Earth to Sun is equal to

$9.3*10^7\ miles$

The spaceship can travel at the speed of light

The light can travel a distance of $5.88*10^{12}\ miles$ in a year

using a proportion

$\frac{5.88*10^{12}\ miles}{1\ year}=\frac{9.3*10^7\ miles}{x}\\\\x=(9.3*10^7)/5.88*10^{12}\\\\x=1.58*10^{-5} \ years$

This time is very small in years

Convert to minutes

$1.58*10^{-5} \ years=1.58*10^{-5} (365)(24)(60)=8.3\ min$

step 2

Find the time it takes for the spaceship to travel from the Sun to Alpha Centaur

The distance from the the Sun to Alpha Centaur is equal to

$2.5*10^{13}\ miles$

The spaceship can travel at the speed of light

The light can travel a distance of $5.88*10^{12}\ miles$ in a year

using a proportion

$\frac{5.88*10^{12}\ miles}{1\ year}=\frac{2.5*10^{13}\ miles}{x}\\\\x=(2.5*10^{13})/5.88*10^{12}\\\\x=4.25\ years$

$4.25\ years< 5\ years$

therefore

The spaceship will get to Alpha Centaur in time

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ddd [48]

Answer:

Step-by-step explanation:

|a| = a for a ≥ 0

|a| = -a for a < 0

therefore

|-4.5| = -(-4.5) = 4.5

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