Answer:
(2,-7)
Step-by-step explanation:
I think its that
Answer:
He will need 9 tiles
Step-by-step explanation:
Step one:
let us highlight the given parameters
Given data
the size of the kitchen floor is 110 ft^2
the size of the bathroom is 28 ft^2
he used 32.5 tiles for the kitchen
and used x tiles for the bathroom
Step two:
if he used 32 tiles for 110 ft^2 kitchen
he will use x tiles for 28 ft^2 bathroom
cross multiplying we have
x= (32*28)/110
x= 896/110
x= 8.145
<em>Approximately he will need 9 tiles</em>
Answer:
58.5
Step-by-step explanation:
230/4=57.5
57.5+1=58.5
Answer:
1.15%
Step-by-step explanation:
To get the probability of m independent events you multiply the individual probability of each event. In this case we have m independent events, each one with the same probability, therefore:


This is a particlar scenario of binomial distribution problem. So the binomial distribution questions are about the number of success of m independent events, where every individual event has the same p probability. In the question we have 20 events and each event has a probability of 80%. The binomial distribution formula is:

n is the number of events
k is the number of success
p is the probability of each individual event
is the binomial coefficient
the binomial coefficient allows to find the subsets of k elements in a set of n elements. In this case there is only one subset possible since the only way to get 20 of 20 correct questions is to getting right all questions (for getting 19 of 20 questions there are many ways, for example getting the first question wrong and all the other questions right, or getting second questions wrong and all the other questions right, etc).

therefore, for this questions we have:

Answer:
$290
Step-by-step explanation:
We are told that 1 out of 5 buyers change to a more expensive sofa than the one in the sale advertisement.
Now we are told that the advertised sofa is $250 and the more expensive sofa is $450.
Thus;
P(x) for expensive sofa = 1/5
P(x) for sofa in sale advertisement = 4/5
Thus, expected value is;
E(X) = (1/5)450 + (4/5)250
E(x) = 90 + 200
E(x) = $290