Answer: The smallest valuest value for<em> k </em>is 10, such that LCM o<em>f k</em> and 6 is 60.
Step-by-step explanation:
We know that, LCM = Least common multiple.
For example : LACM of 12 and 60 is 60.
If LCM of k and 6 is 60.
i.e. the least common multiple of k and 6 is 60.
Since, 10 x 6 = 60.
The smallest valuest value for<em> k </em>should be 10, such that LCM o<em>f k</em> and 6 is 60.
Hence, the smallest value of k is 10.
Answer:
The Fullers can reach the national park
Step-by-step explanation:
<u><em>The complete question is</em></u>
The Fuller family wants to drive to a national park. Some information about their trip is given in the table below.
Distance to national park 515 miles
Car’s gas tank capacity 20 gallons
Average gas mileage for car 26 miles per gallon
The family wants to determine if they can drive to the national park using just one tank of gas in their car. Determine whether the Fullers can reach the national park. Show your work or explain your answer.
we know that
The Average gas mileage for the car is 26 miles per gallon
That means
With 1 gallon the car runs 26 miles
so
using a proportion
Find out how many miles the car runs with 20 gallons (one tank of gas)

Compare with the distance to the national park

therefore
The Fullers can reach the national park
Answer: 0.01145
Step-by-step explanation:
We use Binomial distribution , where the probability of getting x successes in n trial is given by :-
, p = probability of getting each success in each trial.
As per given
The proportion that a car with a certain protection system will be recovered= p=0.87
n= 8
Let x be the number of cars will be recovered.
Then, the probability that 4 of 8 stolen cars will be recovered:


Hence, the required probability is 0.01145.
The first one is 810
The second is -120