The amount of syrup that people put on their pancakes is normally distributed with mean 63 mL and standard deviation 12 mL. Suppose that 11 randomly selected people are observed pouring syrup on their pancakes. Round all answers to 4 decimal places where possible. What is the distribution of

X

?

X

~ N(

,

)

What is the distribution of

¯

x

?

¯

x

~ N(

,

)

If a single randomly selected individual is observed, find the probability that this person consumes is between 67 mL and 71.1 mL.

For the group of 11 pancake eaters, find the probability that the average amount of syrup is between 67 mL and 71.1 mL.

For part d), is the assumption that the distribution is normal necessary? No Yes

is it 35

step-by-step explanation:

the diameter is 16 cm. are you a teacher?

step-by-step explanation:

i believe that the slope of the line is -5

step-by-step explanation:

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.