Answer:
Value of x = 400
Step-by-step explanation:
Joint variation states that describes a situation where a variable depends on two (or more) other variables, and varies directly with some of them.
Given: x varies directly with y and z.
i.e 
and 
then we have the joint variation as;
......[1] where k is the constant variation.
Substitute the value of x =1200 when y =20 and z = 30 to solve for k;
Simplify:
Divide both sides by 600 we get;
Now, substitute k =2 , y =10 and z = 20 to find x;
Using [1] we have;
Therefore, the value of x is, 400
The solution to the equation is y = 5.5 + x , for any real number x greater than or equal to zero and y any real number greater than or equal to 5.5.
Analysis:
since number of items cannot be negative x and y are real number numbers since y or x can be a decimal so we do not use integers alone.
so y = 5.5 + x , for any real number x greater than or equal to zero and y any real number greater than or equal to 5.5.
Learn more about integers : brainly.com/question/17695139
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Answer:
D
Step-by-step explanation:
Plug in every scenario, in see if it equal to each other.
D is the only one that is equal.
Answer:
3.54% probability of observing at most two defective homes out of a random sample of 20
Step-by-step explanation:
For each house that this developer constructs, there are only two possible outcomes. Either there are some major defect that will require substantial repairs, or there is not. The probability of a house having some major defect that will require substantial repairs is independent of other houses. So we use the binomial probability distribution to solve this question.
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.
30% of the houses this developer constructs have some major defect that will require substantial repairs.
This means that 
If the allegation is correct, what is the probability of observing at most two defective homes out of a random sample of 20
This is 
when n = 20. So
3.54% probability of observing at most two defective homes out of a random sample of 20
Answer:x= 3 y=6
Step-by-step explanation:
