Bella pushes a box to her right. In which direction does the box need to move for Bella to have done work n on it
2 answers:
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Answer:
The demand equation is: D=-4p+23
Step-by-step explanation:
To get started, we should keep in mind that the market price (p=3) occurs when supply equals demand ,therefore when p=3
S=2(3)+5=11
Thus, when p=3 D=11 and, according to the problem when p=1 D=19.
We already know two points on the demand curve. Great!
The demand equation is linear, so it has form D=bp+c.
The variable b is the slope of the demand linear equation . It can be computed through the formula
. equation 1
Substituting the two points (3,11) and (1,19) on equation 1.
b=-4
Now we can find the value of intercept of the demand equation c trough point-slope form y-y1=b(x-x1).
We can use any of the points. Let's take (3,11) and write in point-slope :
y-11=-4(x-3)
y=-4x+11+12
y=-4x+23
Rewrite the linear equation according our variables D and p
D=-4P+23
Finally we found the demand equation !
Answer:
a. X is a binomial random variable with n = 50 and p = 0.04
b. Y is a binomial random variable with n = 40 and p = 0.015
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
X: the number of US residents (out of 50) with blood type AB.
Blood type AB is the rarest blood type, occurring in only 4% of the population in the United States
This means that
Y: the number of Australians (out of 40) with blood type AB.
In Australia, only 1.5% of the population has blood type AB.
This means that
Z: the total number of individuals (out of 90) with blood type AB.
Here
Which of the following is true about the random variables X, Y, and Z?
Options a and b are true, while c is false.