All categories

2 years ago

The school cafeteria sells 300 half-pints Of milk everyday. How many gallons of milk is that?

Mathematics

1 answer:

Natali [406]2 years ago

7 0

37.5 gallons of milk, you welcome.

You might be interested in

A fair coin is tossed repeatedly with results Y0, Y1, Y2, . . . that are 0 or 1 with probability 1/2 each. For n ≥ 1 let Xn = Yn

Gekata [30.6K]

Answer:

False. See te explanation an counter example below.

Step-by-step explanation:

For this case we need to find:

$P(X_{n+1} = | X_n =i, X_{n-1}=i') =P(X_{n+1}=j |X_n =i)$ for all $i,i',j$ and for $X_n$ in the Markov Chain assumed. If we proof this then we have a Markov Chain

For example if we assume that $j=2, i=1, i'=0$ then we have this:

$P(X_{n+1} = | X_n =i, X_{n-1}=i') =\frac{1}{2}$

Because we can only have $j=2, i=1, i'=0$ if we have this:

$Y_{n+1}=1 , Y_n= 1, Y_{n-1}=0, Y_{n-2}=0$ , from definition given $X_n = Y_n + Y_{n-1}$

With $i=1, i'=0$ we have that $Y_n =1 , Y_{n-1}=0, Y_{n-2}=0$

So based on these conditions $Y_{n+1}$ would be 1 with probability 1/2 from the definition.

If we find a counter example when the probability is not satisfied we can proof that we don't have a Markov Chain.

Let's assume that $j=2, i=1, i'=2$ for this case in order to satisfy the definition then $Y_n =0, Y_{n-1}=1, Y_{n-2}=1$

But on this case that means $X_{n+1}\neq 2$ and on this case the probability $P(X_{n+1}=j| X_n =i, X_{n-1}=i')= 0$ , so we have a counter example and we have that:

$P(X_{n+1} =j| X_n =i, X_{n-1}=i') \neq P(X_{n+1} =j | X_n =i)$ for all $i,i', j$ so then we can conclude that we don't have a Markov chain for this case.

6 0

2 years ago

What is the value of the expression below when x = 3?<br> 10x2 – 7x + 10

QveST [7]

Answer:

Step-by-step explanation:

To find the value of $10x^2 – 7x + 10$ , when x = 3, simply plug in the value of x in the expression and solve as follows:

$10(3)^2 – 7(3) + 10$

$10(9) – 21 + 10$

$90 – 21 + 10$

$79$

The value of $10x^2 – 7x + 10$ , when x = 3, is 79

5 0

2 years ago

Please help. Simplify:

Shalnov [3]

Answer:

use p h o t o m a t h

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

There was a layer of snow on joes driveway when it began to snow again. As the snow fell, joe measure the depth, in centimeters

OLga [1]

The minutes will be ur x axis and the cm of snow will be ur y axis

(10,2),(30,3.6).....using 2 points and the slope formula : (y2 - y1) / (x2 - x1)

slope = (3.6 - 2) / (30 - 10) = 1.6 / 20 = 0.08 cm per minute <===

4 0

2 years ago

What is the value of x?

vekshin1

Answer:

12, im pretty sure

Step-by-step explanation:

5 0

2 years ago