A manufacturer is concerned over the diameter of rubber balls being produced. Too large and they don’t work for certain applications. Too small and they are subject to little children accidentally choking on them. If the balls are normally distributed with a mean diameter of 1.45 and a standard deviation of .08, what is the value of c , such that 98% of the balls fall between the limits of 1.45 +/- c?

c = 0.1864

Step-by-step explanation:

To find c, we need to find the z-score where:

P(-z<Z<z) = 98%

Based on the properties of the normal distribution we can said that

P(-z<Z<z) = 98% is equal to:

2*P(Z>z) = 2%    or  P(Z>z)= 1%

So, using the standard normal table, the z score is 2.33

Then, we can calculated the value of c as:

Where s is the standard deviation and z is the z-score. Replacing the values, we get:

c = 2.33*0.08

c = 0.1864

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

hope it

in the math equation 8 x 7 = 56, the 8 and the 7 are both factors of 56, since in this lesson we will use square tiles to figure out the factors of a whole find as many different arrays as you can, but follow one important rule: all the rows must have the i can make two rows of nine, so 2 and 9 are both factors of 18.

step-by-step explanation: