Answer:
(C)only line u and line v
Step-by-step explanation:
To verify this, the easiest route is using corresponding angles.
See the attached image for the missing angles which we use for the comparison.
The angle at t which is supposed to correspond to 89 degrees on s is 91 degrees. <u>Therefore Line t is not parallel.</u>
Line u and v is parallel because the angle at u corresponds to the angle at t.
<u>Therefore, the correct option is C.</u>
Answer:
115 bacteria
Step-by-step explanation:
The function that gives the number of bacteria in a science experiment is:
f(x) = 30(1.4)^x
Where x is the number of days
After 4 days (x = 4), the number of bacteria will be:
f(4) = 30 * (1.4)^4
f(4) = 39 * 3.8416
f(4) = 115.248 = 115 (To the nearest whole number)
The number of bacteria after 4 days is 115.
Answer:
The probability that the customer must open 3 or more bottles before finding a prize is 0.64
Step-by-step explanation:
In order for a customer to have to open at least 3 bottles before winning a prize, then the first two bottles shouldnt have a price. The probability that a bottle doesnt have a price is 1-0.2 = 0.8. Since the bottles are independent from each other, then the probability that 2 bottles dont have a prize is 0.8² = 0.64. Therefore, the probability that the customer must open 3 or more bottles before finding a prize is 0.64
Answer:
E
Step-by-step explanation: