Answer:
=−5x−45
Step-by-step explanation:
Distribute:
=(−5)(x)+(−5)(7)+−10
=−5x+−35+−10
Combine Like Terms:
=−5x+−35+−10
=(−5x)+(−35+−10)
=−5x+−45
Answer:
Step-by-step explanation:
Given that:
To bet $5 that the outcome is any one of these five possibilities: 0, 00, 1, 2, 3.
Let Y represent the Amount of net profit
Then, Y= {-5, 30}
The probability distribution of Y is:
Y -5 30
P(Y=y)

a) The expected value of X is given by:
![E[Y] =\sum y P(Y=y)= 30*\dfrac{5}{38}-5*\dfrac{33}{38}](https://tex.z-dn.net/?f=E%5BY%5D%20%3D%5Csum%20y%20P%28Y%3Dy%29%3D%2030%2A%5Cdfrac%7B5%7D%7B38%7D-5%2A%5Cdfrac%7B33%7D%7B38%7D)


b)
On a bet of $5 on the number 25 we are expected to loose 24 cents.
While on a $5 bet that the outcome is any one of the numbers 0,00, or 1 we are expected to loose 39 cents.
Hence, $5 bet on the number 27 is better. Because the expected loss is less in this bet
Answer:
0.25
Step-by-step explanation:
The only constant in the equation is called the "constant of proportionality." Its value is 0.25.
The constant of proportionality is 0.25.
____
In an equation of the form ...
y = kx
the constant k is called the <em>constant of proportionality</em>. It's a vocabulary (naming) question.
We are given : The mass of a grain of sand = 
Bag contains = 10 kilograms of sand.
Let us concert 10 kg into grams first.
1 kg = 1000 grams.
10 kg = 10 × 1000 = 10000 grams = 10^4.
Therefore, bag contains 10^4 grams of sand.
Therefore, number of grains of sand are in the bag of sand of 10^4 grams =
The mass of a grain of sand in grams ÷ The mass of a grain of sand.

=
=

Therefore,
grains of sand are in the bag of 10kg sand.