The amount of marinara sauce on the spaghetti at pasta infusion follows a normal distribution, with a mean of 3.25 ounces and a standard deviation of 0.2 ounce. a random sample of 10 plates of spaghetti is selected every day and the sauce is measured. what is the probability that the mean weight will exceed 3.3 ounces?

a. 0.2146
b. 0.7854
c. 0.4013
d. 0.5987
e. 0.7905

A. 0.2146

Step-by-step explanation:

The mean and standard deviation of the sample is:

μ = 3.25

σ = 0.2 / √10 = 0.063

The z-score is:

z = (x − μ) / σ

z = (3.3 − 3.25) / 0.063

z = 0.79

The probability is therefore:

P(z > 0.79) = 0.2146

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq