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3 years ago

33.63 miles in 3 hours what is the speed in miles per hour

2 answers:

8 0

11.21 miles because first of all you need to divide 33.63 by 3 plus is you do 11.21x3= 33.63 this expression is the inverse operation so this will be to check your work I hope this was helpful :)

Sveta_85 [38]3 years ago

6 0

11.21 miles because you divide 33.63 by 3 and you'll get your answer.

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20 points<br> How do you convert mass to volume without density?

kherson [118]

Answer:

Well, you could always just put it onto a scale to find the mass. But assuming you aren't talking about a laboratory setting. sorry if its all werid i cant really put it into how it supposed to be

The general formula is:

where

is density in

g/mL

if mass

is in

and volume

is in

So to get the mass...

Or to get the volume...

When you have the volume and not the density, and you want to find mass, you will need to find the density yourself. It's often readily available on the internet.

Just replace "[...]" with the object you want, and if it's not exactly what you need, consider it an estimate.

These days, you should be able to search for the density of any common object.

When you have the density and volume but not the mass, then just make up a mass.

You shouldn't need specific numbers to do a problem. You can always solve a problem in general and get a solution formula. If you need to, just make up some numbers that you know how to use.

3 0

3 years ago

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An equilateral triangle has a perimeter of 42. What is it's height?

katrin2010 [14]

Answer:

Given that: The perimeter of the equilateral triangle is 42 inches. Side of the triangle=Perimeter/3=42/3=14 inches. The height of the triangle is 12 inches

Step-by-step explanation:

12 inches hope it helps

3 0

3 years ago

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Mice21 [21]

I do not understand this problem

5 0

3 years ago

If two angles form a linear pair, then they are adjacent angles. true or false?

grigory [225]

Answer:

true

Step-by-step explanation:

5 0

3 years ago

A sample of 100 cars driving on a freeway during a morning commute was drawn, and the number of occupants in each car was record

makkiz [27]

Answer:

$E(X)=1*0.74 +2*0.1 +3*0.11+ 4*0.03 +5*0.02=1.49$

$Var(X)=E(X^2)-[E(X)]^2 =3.11-(1.49)^2 =0.8899$

$Sd(X)=\sqrt{Var(X)}=\sqrt{0.8899}=0.943$

Step-by-step explanation:

For this case we have the following data given:

X 1 2 3 4 5

F 74 10 11 3 2

The total number of values are 100, so then we can find the empirical probability dividing the frequency by 100 and we got the followin distribution:

X 1 2 3 4 5

P(X) 0.74 0.10 0.11 0.03 0.02

Previous concepts

In statistics and probability analysis, the expected value "is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values".

The variance of a random variable Var(X) is the expected value of the squared deviation from the mean of X, E(X).

And the standard deviation of a random variable X is just the square root of the variance.

Solution to the problem

In order to calculate the expected value we can use the following formula:

$E(X)=\sum_{i=1}^n X_i P(X_i)$

And if we use the values obtained we got:

$E(X)=1*0.74 +2*0.1 +3*0.11+ 4*0.03 +5*0.02=1.49$

In order to find the standard deviation we need to find first the second moment, given by :

$E(X^2)=\sum_{i=1}^n X^2_i P(X_i)$

And using the formula we got:

$E(X^2)=1^2 *0.74 +2^2 *0.1 +3^2 *0.11 +4^2 0.03 +5^2 *0.02=3.11$

Then we can find the variance with the following formula:

$Var(X)=E(X^2)-[E(X)]^2 =3.11-(1.49)^2 =0.8899$

And then the standard deviation would be given by:

$Sd(X)=\sqrt{Var(X)}=\sqrt{0.8899}=0.943$

7 0

3 years ago