The fountain is the pond at the public park near Kevin’s house has a pump that recirculates 75 gallons of water in 1/4 of an hou
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Answer:
<h3>Step-by-step explanation:
Answer:
a)There is a 4.88% probability that none is concerned that employers are monitoring phone calls.
b)There is a 7.89% probability that all are concerned that employers are monitoring phone calls.
c)There is a 37.23% probability that exactly two are concerned that employers are monitoring phone calls.
Step-by-step explanation:
The binomial probability is the probability of exactly x successes on n repeated trials in an experiment which has two possible outcomes (commonly called a binomial experiment).
It is given by the following formula:
In which is the number of different combinatios of x objects from a set of n elements, given by the following formula.
And p is the probability of a success.
In this problem, a success is being concerned that employers are monitoring phone calls.
53% of adults are concerned that employers are monitoring phone calls, so
(a) Out of four adults, none is concerned that employers are monitoring phone calls.
Four adults, so .
Is the probability of 0 successes, so x = 0.
There is a 4.88% probability that none is concerned that employers are monitoring phone calls.
(b) Out of four adults, all are concerned that employers are monitoring phone calls.
Four adults, so .
Is the probability of 4 successes, so x = 4.
There is a 7.89% probability that all are concerned that employers are monitoring phone calls.
(c) Out of four adults, exactly two are concerned that employers are monitoring phone calls.
Four adults, so .
Is the probability of 4 successes, so x = 2.
There is a 37.23% probability that exactly two are concerned that employers are monitoring phone calls.
Answer:
- x - 4y = 22
Step-by-step explanation:
<u>Given line:</u>
- x - 4y = 20
<u>Convert the equation into slope-intercept form:</u>
- x - 4y = 20
- 4y = x - 20
- y = 1/4x - 5
It has a slope of 1/4.
Parallel lines have equal slopes.
<u>Find the parallel line lines that passes through the point (2, - 5):</u>
- y = 1/4x + b
<u>Substitute x and y values to work out the value of b:</u>
- - 5 = 1/4*2 + b
- - 5 = 1/2 + b
- b = - 5 - 1/2
- b = - 11/2
<u>The line is:</u>
- y = 1/4x - 11/2
<u>Covert this into standard form:</u>
- y = 1/4x - 11/2
- 4y = x - 22
- x - 4y = 22
