Answer:
$60.00
Step-by-step explanation:
First person:
$4.50
Second person:
3 times $4.50 = $13.50
Total of first two people:
$4.50 + $13.50 = $18.00
Third person:
$78.00 - $18.00 = $60.00
The third person pays $60.00
Answer:
(x-1)²+ (y-0.5)²=6.25
Step-by-step explanation:
<u>The standard form of equation of a circle is;</u>
(x-a)²+(y-b)²=r² where (a,b) are the center of the circle and r is the radius
<u>Finding the mid-point of the given points</u>
(-1,2) and (3,-1)⇒midpoint will be 1/2(x₁+x₂) , 1/2(y₁+y₂)
midpoint= {1/2(-1+3), 1/2(2+-1)}
midpoint=(1,0.5)
<u>Finding the radius r; the distance from the center to either of the given two points</u>
Apply the distance formula d=√ (x₂-x₁)² +(y₂-y₁)²
Taking (x₁,y₁) as (1,0.5) and (x₂,y₂) as (-1,2) then
d=√ (-1-1)² +(2-0.5)²
d= √ (-2)²+(1.5)²
d=√4+2.25⇒√6.25⇒2.5
r=2.5
<u>Equation of the circle</u>
(x-1)² + (y-0.5)²=2.5²
(x-1)²+ (y-0.5)²=6.25
So all u have to do is just add $1.28 and $0.54
Answer:
0.095163
Step-by-step explanation:
given that a starter motor used in a space vehicle has a high rate of reliability and was reputed to start on any given occasion with probability .99999
Here we find that for any start, there are exactly two outcomes either success or failure.
Also each start is independent of the other since p = 0.99999 for succss is given constant.
Thus X no of successes is binomial with p = 0.99999 and n =10000
If Y is taken as failure then Y is binomial with p' = 0.00001 and n =10000
Required probability
= the probability of at least one failure in the next 10,000 starts
= 1-P(no failure in 10000 starts)
=
The answer you are looking for is 12! have a great day!:)
