4foxes and 7 hounds enter a cave in a straight line following a random ordering, find the expected no of foxes that are immediately followed by a hound.

the expected no of foxes that are immediately followed by a Hound is 14/55

Step-by-step explanation:

P(foxes)= 4/11 p(hounds)=7/11

the expected no of foxes that are immediately followed by a Hound.

= 4/11* 7/10

=14/55

b.) 160 miles on a 5 gallons car

step-by-step explanation:

240/10=24 miles/gallon

160/5=32 miles/gallon

30/1=30 miles/gallon

168/6= 28 miles/gallon

32 miles/gallon is the most amount, so this is the best.

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.