The 68-95-99.7 rule for the Normal distribution is an empirical rule that remind us the percentages of data that falls between the mean ± 1, ± 2 and ± 3 standard deviations.

That is to say, if the mean is m and the standard deviation s, roughly speaking 68% of the data falls between [m-s, m+s], 95% between [m-2s, m+2s] and 99.7% between [m-3s, m+3s].

Since the mean is 3.0005 and the standard deviation is s=0.0010, 2s=0.0020, 95% of the data should fall between [3.0005-0.0020, 3.0005+0.0020] and 5% outside this interval. So <em>around 5% of total production will be scrap</em>.

7 0

3 years ago

-2(3x+2) is greater than or equal to -6x-4

olchik [2.2K]

The inequality would look like this:

-2 (3x + 2) $\geq$ -6x-4

To begin to find the solutions, distribute the -2 throughout the set of parenthesis on the left side of the inequality by multiplying the -2 by each term in the set of parenthesis

-2 x 3x = -6x
-2 x 2 = -4

-6x -4 $\geq$ -6x-4

Begin to isolate x by performing the opposite operation of adding -6x on both sides of the inequality

0x -4 $\geq$ -4

Next perform the opposite operation by adding 4 on both sides of the inequality

0x $\geq$ 0

Now, I'm not exactly understanding how that can possibly work. So, I guess I didn't really help you. But add a comment so that we can talk about the problem :)

8 0

3 years ago

It's a staple of American school lunches: peanut butter sandwiches (usually with jelly, too). The average American child will ea

HACTEHA [7]

Answer:

The number of peanuts that will be needed to make all the sandwiches a child will eat by graduation is approximately 141,667 peanuts

Step-by-step explanation:

The number of peanut butter sandwiches that an average American child will eat by the time she graduates from high school = 1500 peanut butter sandwiches

The number of sandwich taken every four days = 1 sandwich

The number of peanuts required to make 18-oz jar of peanut butter = 850 peanuts

The amount of peanut butter in an average sandwich = Two ounces

Therefore, we have by the time of graduation;

Each American child will have taken 1500 sandwiches

The 1500 sandwiches will have = 1500 × 2 ounce = 3,000 ounces of peanut butter

The number of 18-oz jars of peanut butter that will contain up to 3000-oz of peanut butter = 3000-oz/(18-oz) = 166.67 Jars

The number of peanuts required to make the 166.67 Jars of peanut butter = 850 peanuts/jar × 166.67 Jars = 141666.67 ≈ 141,667 peanuts

The number of peanuts that will be needed to make all the sandwiches a child will eat by graduation ≈ 141,667 peanuts.

6 0

3 years ago