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SVETLANKA909090 [29]
3 years ago
5

The graph shows a proportional relationship between the distance a car travels and the fuel it consumes.

Mathematics
1 answer:
statuscvo [17]3 years ago
4 0

Answer:

2.5

Step-by-step explanation:

if you take 80 and 120 on the graph look at the middle you get 100 and in between 2 and 3 you get 2.5 so it would take 2.5 gallons of gas for 100 miles

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leo knows that each time a digit moves one place to the left in a whole number the value of the digit is 10 times as much. descr
Serga [27]

Answer:

Leo is true for any numbers (including decimal numbers)

Step-by-step explanation:

* Lets explain how to solve the problem

- In number 256

# 6 is the unit digit (one digit)

# 5 is the ten digit (10 digit)

# 2 is the hundred digit (100 digit)

- If we change the number to 2563

# 6 digit is moved 1 place to the left now its place changed from unit

  digit to ten digit (from 1 to 10) that means 6 in the second number

  is 10 times the 6 in the first number

# 5 digit is moved 1 place to the left now its place changed from ten

  digit to hundred digit (from 10 to 100) that means 5 in the second

  number is 10 times the 5 in the first number

# 2 digit is moved 1 place to the left now its place changed from  

  hundred digit to thousand digit (from 100 to 1000) that means 2

  in the second number is 10 times the 2 in the first number

- In number 2.345

# 2 is the unit digit (one digit)

# 3 is the tenth digit (1/10 digit)

# 4 is the hundredth digit (1/100 digit)

# 5 is the thousandth digit (1/1000 digit)

- If we change the number to 23.45

# 3 digit is moved 1 place to the left now its place changed from tenth

  digit to unit digit (from 1/10 to 1) that means 3 in the second number

  is 10 times the 3 in the first number

# 4 digit is moved 1 place to the left now its place changed from  

  hundredth digit to tenth digit (from 1/100 to 1/10) that means 4 in the

  second number is 10 times the 5 in the first number

# 5 digit is moved 1 place to the left now its place changed from  

  thousandth digit to hundredth digit (from 1/1000 to 1/100) that means

  5 in the second number is 10 times the 5 in the first number

∴ Leo is true for any numbers (including decimal numbers)

3 0
3 years ago
Gary has 2 red apples, 2 green apples, and 2 yellow apples in a sack. He also has 2 packages of peanuts, 2 packages of almonds,
o-na [289]
1/3 or approximately 0.3333333334 percent
3 0
3 years ago
Square of a standard normal: Warmup 1.0 point possible (graded, results hidden) What is the mean ????[????2] and variance ??????
LenaWriter [7]

Answer:

E[X^2]= \frac{2!}{2^1 1!}= 1

Var(X^2)= 3-(1)^2 =2

Step-by-step explanation:

For this case we can use the moment generating function for the normal model given by:

\phi(t) = E[e^{tX}]

And this function is very useful when the distribution analyzed have exponentials and we can write the generating moment function can be write like this:

\phi(t) = C \int_{R} e^{tx} e^{-\frac{x^2}{2}} dx = C \int_R e^{-\frac{x^2}{2} +tx} dx = e^{\frac{t^2}{2}} C \int_R e^{-\frac{(x-t)^2}{2}}dx

And we have that the moment generating function can be write like this:

\phi(t) = e^{\frac{t^2}{2}

And we can write this as an infinite series like this:

\phi(t)= 1 +(\frac{t^2}{2})+\frac{1}{2} (\frac{t^2}{2})^2 +....+\frac{1}{k!}(\frac{t^2}{2})^k+ ...

And since this series converges absolutely for all the possible values of tX as converges the series e^2, we can use this to write this expression:

E[e^{tX}]= E[1+ tX +\frac{1}{2} (tX)^2 +....+\frac{1}{n!}(tX)^n +....]

E[e^{tX}]= 1+ E[X]t +\frac{1}{2}E[X^2]t^2 +....+\frac{1}{n1}E[X^n] t^n+...

and we can use the property that the convergent power series can be equal only if they are equal term by term and then we have:

\frac{1}{(2k)!} E[X^{2k}] t^{2k}=\frac{1}{k!} (\frac{t^2}{2})^k =\frac{1}{2^k k!} t^{2k}

And then we have this:

E[X^{2k}]=\frac{(2k)!}{2^k k!}, k=0,1,2,...

And then we can find the E[X^2]

E[X^2]= \frac{2!}{2^1 1!}= 1

And we can find the variance like this :

Var(X^2) = E[X^4]-[E(X^2)]^2

And first we find:

E[X^4]= \frac{4!}{2^2 2!}= 3

And then the variance is given by:

Var(X^2)= 3-(1)^2 =2

7 0
3 years ago
What is the rate of change of the function?
olga_2 [115]

Answer:

3

Step-by-step explanation:

the rate of change of the function, or the slope is 3 because to get to one point from the other point in the line, you would have to go up 3 and over 1 (3/1) or just 3.

Hope this helps

5 0
3 years ago
Read 2 more answers
The equation for a circle is ​x2+10x+y2+12y+52=0​ .
aev [14]
<span><span><span>I believe the answer is (x+5)^</span>2</span>+<span><span>(y+6)^</span>2</span>=9

</span>
8 0
3 years ago
Read 2 more answers
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