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Let the constant of variation be c.
We are given that y varies inversely with 2.5x, this means that:
y = (c) / (2.5x)
This can be written as:
2.5xy = c
Now, we a re given that y = 5.6 at x = 30.
Substitute with these values in the equation to get the value of c as follows:
2.5xy = c
2.5(30)(5.6) = c
c = 420
Therefore, the equation that describes the relation is:
2.5xy = 420
1748 people are expected to stop at the gift shop out of 2300.
Step-by-step explanation:
Given,
Number of random sampled people = 350
Number of people who stopped at shop = 266
Percentage = 
Percentage = 
Therefore,
76% people would stop at the gift stop.
Number of people = 2300
Expected number = 76% of total
Expected number = 
Expected number = 1748
1748 people are expected to stop at the gift shop out of 2300.
<span>The probability that a house in an urban area will develop a leak is 55%. if 20 houses are randomly selected, what is the probability that none of the houses will develop a leak? round to the nearest thousandth.
Use binomial distribution, since probability of developing a leak, p=0.55 is assumed constant, and
n=20, x=0
and assuming leaks are developed independently between houses,
P(X=x)
=C(n,0)p^x* (1-p)^(n-x)
=C(20,0)0.55^0 * (0.45^20)
=1*1*0.45^20
=1.159*10^(-7)
=0.000
</span>
Answer:
It is either 11/12 or 0.91666666667.....
Step-by-step explanation:
Because this can not be actually divided into a "number" like 2 or 5, we can only get a approximate. Like the top answer.
Round to the nearest ten is 0.9
Round it to nearest hundredths is 0.92