Answer:
The smallest bag that has enough food to feed his bag for one month
= 3.6 kilogram
Step-by-step explanation:
The quantity of dry food Ray feeds his dog = 0.12 kilogram
So the quantity of food he feeds his dog in one month
= 0.12 × 30 ∵ since 1 month = 30 days
= 3.6 kilogram
The smallest bag that has enough food to feed his bag for one month
= 3.6 kilogram
Answer: a.) 40320
b.) 336
Step-by-step explanation:
since we have 8 possible positions, with 8 different candidates, then there are 8 possible ways of arranging the first position, 7 possible ways of arranging the Second position, 6 ways of arranging the 3rd position, 5 possible ways od arranging the 4th position, 4 possible ways of arranging the 5th position, 3 possible ways of arranging the 6th position, 2 possible ways of arranging the 7th position and just one way of arranging the 8th position since we have only one person left.
Hence, the Number of possible sample space for different 8 positions is by multiplying all the number of ways we have in our sample space which becomes:
8*7*6*5*4*3*2*1 = 40320.
b.) By the sample space we have, since we've been asked ti arrange for only the firat 3 positions, then we multiply just for the first 3ways of choosing the positions, this becomes:
8*7*6 = 336
Answer:
We can conclude that the battery life is greater than the 32 hour claim.
Step-by-step explanation:
The null hypothesis is:

The alternate hypotesis is:

Our test statistic is:

In which X is the statistic,
is the mean,
is the standard deviation and n is the size of the sample.
In this problem, we have that:

So



We need to find the probability of finding a mean time greater than 37.8. If it is 5% of smaller(alpha = 0.05.), we can conclude that the battery life is greater than the 32 hour claim.
Probability of finding a mean time greater than 37.8
1 subtracted by the pvalue of z = t = 2.46.
z = 2.46 has a pvalue of 0.9931
1 - 0.9931 = 0.0069 < 0.05
So we can conclude that the battery life is greater than the 32 hour claim.
Answer:
Cost of travel insurance for 4 days = 19 pounds
Step-by-step explanation:
The insurance company uses the formula T = 3.5n + 5 to work out the cost , T pounds for insuring the customer for n number of days . Where n is the number of days.
The algebraic equation given has two variables which are cost T of insuring and n which is the number of days for insuring. Mathematically,
T = cost of insuring in pounds
n = number of days
Therefore, finding the cost T for 4 days
T = 3.5n + 5
T = 3.5 × 4 + 5
T = 14 + 5
T = 19 pounds
Cost of travel insurance for 4 days = 19 pounds