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2 years ago

Which statement correctly describes gravity?

Mathematics

2 answers:

Liula [17]2 years ago

8 0

Answer:

an attractive force that acts between all objects without contact

Step-by-step explanation:

an attractive force that acts between all objects without contact

You are pulled down by gravity when you jump

Tamiku [17]2 years ago

8 0

Answer:

an attractive force that acts between all objects without contact

The force of gravity, first discovered by Isaac Newton, is one of the four fundamental forces. It is a force that is always attractive, and it is exerted between all objects that have mass. Also, the force is exerted even when the two objects are not in contact.

The magnitude of the force of gravity between two objects is given by where

G is the gravitational constant

m1 and m2 are the masses of the two objects

r is the distance between the two objects

Step-by-step explanation:

MRK ME BRAINLIEST PLPZZZZZZZZZZZZZZZZ

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Find each quotient. Write in simplest form. keep answer as fraction - not decimal

kirill [66]

So we are given the expression:

$\frac{mn^{2}}{4}$ ÷ $\frac{m^{2}n}{8}$

When we divide fractions, we must flip the second term and change the sign to multiplication:

$\frac{mn^{2}}{4} *\frac{8}{m^{2}n}$

And then we multiply across:

$\frac{mn^{2}}{4} *\frac{8}{m^{2}n}= \frac{8mn^{2}}{4m^{2}n}$

Then we can break apart all of the like variables for simplification:

$\frac{8mn^{2}}{4m^{2}n}=\frac{8}{4} * \frac{m}{m^{2}} *\frac{n^{2}}{n}$

When we simplify variables through division, we subtract the exponent of the numerator from the exponent of the denominator. So we then have:

$\frac{8}{4} =2$

$\frac{m}{m^{2}}=m^{-1} =\frac{1}{m}$

$\frac{n^{2}}{n}=n^{1}=\frac{n}{1}$

So then we multiply all of these simplified parts together:

$\frac{2}{1}*\frac{1}{m}*\frac{n}{1} =\frac{2n}{m}$

So now we know that the simplified form of the initial expression is: $\frac{2n}{m}$ .

3 0

2 years ago

Heights of men have a bell-shaped distribution, with a mean of 176 cm and a standard deviation of 7 cm. Using the Empirical Rule

Vaselesa [24]

Answer:

a) 68% of the men fall between 169 cm and 183 cm of height.

b) 95% of the men will fall between 162 cm and 190 cm.

c) It is unusual for a man to be more than 197 cm tall.

Step-by-step explanation:

The 68-95-99.5 empirical rule can be used to solve this problem.

This values correspond to the percentage of data that falls within in a band around the mean with two, four and six standard deviations of width.

a) What is the approximate percentage of men between 169 and 183 cm?

To calculate this in an empirical way, we compare the values of this interval with the mean and the standard deviation and can be seen that this interval is one-standard deviation around the mean:

$\mu-\sigma=176-7=169\\\mu+\sigma=176+7=183$

Empirically, for bell-shaped distributions and approximately normal, it can be said that 68% of the men fall between 169 cm and 183 cm of height.

b) Between which 2 heights would 95% of men fall?

This corresponds to ±2 standard deviations off the mean.

$\mu-2\sigma=176-2*7=162\\\\\mu+2\sigma=176+2*7=190$

95% of the men will fall between 162 cm and 190 cm.

c) Is it unusual for a man to be more than 197 cm tall?

The number of standard deviations of distance from the mean is

$n=(197-176)/7=3$

The percentage that lies outside 3 sigmas is 0.5%, so only 0.25% is expected to be 197 cm.

It can be said that is unusual for a man to be more than 197 cm tall.

3 0

3 years ago

Please i need help on this question im strugling

DerKrebs [107]

Answer:

1: 5

2: 5

3: 1.5

Step-by-step explanation:

6 0

3 years ago

Jessie served 15 pints of orange juice at her party. How many quarts and pints (pints=remainder) of orange juice did she serve?

pogonyaev

Answer:

7 quarts and 1 pint

Step-by-step explanation:

2 pints is equal to a quart

15 pints divided by 2 is 7r1

7 is equal to 7 quarts and r1 is equal to 1 pint.

8 0

2 years ago

A rectangular prism has a length of 9cm, a height of 17cm, and a width of 16cm. What is its volume, in cubic cm?

deff fn [24]

Answer:

2448cm^3

Step-by-step explanation:

L×W×H. L=9 W=16 H=17

V[volume] = 9×16×17

V=2448cm

8 0

2 years ago