Answer:
The cutoff numbers for the number of chocolate chips in acceptable cookies are 16.242 and 27.758
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

Middle 90%
Between the 50 - (90/2) = 5th percentile to the 50 + (90/2) = 95th percentile.
5th percentile:
X when Z has a pvalue of 0.05. So X when Z = -1.645.




95th percentile:
X when Z has a pvalue of 0.95. So X when Z = 1.645.




The cutoff numbers for the number of chocolate chips in acceptable cookies are 16.242 and 27.758
Sorry me neither if i knew i would help you
The quadratic function given to us is:

We are asked to find the vertex form of the function.
The general formula for the vertex form of a quadratic equation is:

In order to write the function in its vertex form, we need to perform a couple of operations on the function.
1. Add and subtract the square of the half of the coefficient of x to the function.
2. Factor out the function with its repeated roots and re-write the equation.
Now, let us solve.
1. Add and subtract the square of the half of the coefficient of x to the function.

2. Factor out the function with its repeated roots and re-write the equation.

Therefore, we can conclude that the Equation and vertex of the equation is:
Answer:
Option (6)
Step-by-step explanation:
Name f the planes of the figure given,
Plane JKL or plane Z
Plane PSR
Plane PQK
Plane SRL
Plane PSM
Plane QRL
Therefore, the number of planes of the box standing vertical on a table are 6.
Option (6) will be the answer.