Jack wants to fill a rectangular box with sand. The length of the sand box is 3 feet, width is 6 inches, and height is 2.4 inche
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<h2>Answer:The number of milk chocolates are 18 and the number of dark chocolates are 24.</h2>
Step-by-step explanation:
Let the number of milk chocolates be .
Let the number of dark chocolates be .
Given that the box contains the milk and dark chocolates in the ratio .
So, ...(i)
Given that the total number of chocolates are .
So,. ...(ii)
Using (i) and (ii),
So,the number of milk chocolates are and the number of dark chocolates are
.
Answer:
a) A. The population must be normally distributed
b) P(X < 68.2) = 0.7967
c) P(X ≥ 65.6) = 0.3745
Step-by-step explanation:
a) The population is normally distributed having a mean () = 64 and a standard deviation (
) =
b) P(X < 68.2)
First me need to calculate the z score (z). This is given by the equation:
but μ=64 and σ=19 and n=14,
and
Therefore:
From z table, P(X < 68.2) = P(z < 0.83) = 0.7967
P(X < 68.2) = 0.7967
c) P(X ≥ 65.6)
First me need to calculate the z score (z). This is given by the equation:
Therefore:
From z table, P(X ≥ 65.6) = P(z ≥ 0.32) = 1 - P(z < 0.32) = 1 - 0.6255 = 0.3745
P(X ≥ 65.6) = 0.3745
P(X < 68.2) = 0.7967