Dear math experts, I hope this finds you well.

I solved 2 questions and I wonder whether my answers are correct.

1) A coach must choose 8 players randomly from 10 players and assign them to three different cars to transport them to an out-of-town game: 2 in car A, 3 in car B, and 3 in car C. In how many ways can this be done?

In this case, we are choosing people randomly, therefore do we need to use combination and divide 10C8 by (2! 3! 3!), to avoid repetition?

2) In how many ways can the letters and numbers of MATH1011 be arranged, if all the letters must be put together?

In this case, we are putting each letter and number together, therefore I think that no repetition is allowed. Hence I think that: 4P4 x (4! / (3! 1!) is the method for this question.

If both methods are wrong, feel free to tell where are my errors and what are correct methods.

Best regards

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;

bfgbh bhf gfdzf bhgfrdfgbn cvdgsytrghvn ncvhgfdtrseawa hgdrsxcvbgfrewq

step-by-step explanation:

correct choice is a

step-by-step explanation:

the equation of the line passing through the points and is

thus, the equation of the line that passes through the points (0, -6) and (-3, 0) is

there would be 162.15 calories in this cereal.

step-by-step explanation: