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Katyanochek1 [597]
3 years ago
12

C&A is making steel rods with an average diameter of 1 mm. The process has a standard deviation of 0.2 mm. The upper and low

er specification limits are 1.2 mm and 0.8 mm respectively. What is the probability that the rod’s diameter will either be too wide or too narrow?
Mathematics
1 answer:
lubasha [3.4K]3 years ago
5 0

The standard deviation is given as 0.2 mm.

The upper and lower limits are given as 1.2 and 0.8, which is 1 standard deviation.

Using the 68-95-99.7 rule, 68% of the rod's would be within the 1 standard deviation.

This means 32% ( 100 - 68 = 32) would either be too wide or too narrow.

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000000002 as a fraction
Sloan [31]
The answer would be just 2 because it didn't turn to a fraction.<span />
6 0
3 years ago
A furniture maker is building a bookshelf she needs to cut rectangular pieces of wood to a length of 5/12 foot and a width of 2/
jok3333 [9.3K]
We Know, Area = Length * Width
Here, L = 5/12
W = 2/3

Substitute it into the expression,
A = 5/12 * 2/3
A = 10/36
A = 5/18 ft²

So, the area of the wood would be 5/18 ft²

Hope this helps!
3 0
3 years ago
What number is 80% of 65
Pavel [41]

Answer:

80% of 65 is 52

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Jocelyn and Madelyn go to the movie theater and purchase refreshments for their friends.
Alik [6]

let's make p stand for popcorn and d for drinks. Using those variables, we can create our equations:

2p + 3d = 18.25

4p + 2d = 27.50

From this, we can use substitution or elimination to solve:

For substitution, in the second equations, we could factor out a 2, divide both sides by 2, and then move the left over 2p to the other side to isolate d to put into the first equation.

For elimination, we can multiply the first equation by -2 so that we can remove the 4p and focus on solving for d.

I'll be using elimination in this case:

-2(2p + 3d = 18.25) --> -4p - 6d = -36.50

-4p - 6d = -36.50

4p  + 2d = 27.50

-4d = -9.00

d = 2.25

4p + 2 * 2.25 = 27.50

4p + 4.50 = 27.50

4p = 23.00

p = 5.75

Now let's check our answer:

2 * 5.75 + 3 * 2.25 = 18.25

11.50 + 6.75 = 18.25

18.25 = 18.25

So drinks cost $2.25 and popcorn $5.75

7 0
3 years ago
What is the volume of a sphere with a radius of 3 m, rounded to the nearest tenth
expeople1 [14]
<h3><u>Given</u>:-</h3>

\rightarrowRadius(r) of sphere = 3m

<h3><u>To Find</u>:-</h3>

\rightarrow Volume of the sphere.

<h3><u>Formula Used</u>:-</h3>

\rightarrowVolume of sphere = \sf{\frac{4}{3}πr^3}

<h3><u>Solution</u>:-</h3>

\rightarrowVolume of sphere = \sf{\frac{4}{3}πr^3}(putting the value of r(radius) from the above given and pie(π) = \sf{\frac{22}{7}})

\rightarrow\sf{=\frac{4}{3}×\frac{22}{7}×3^3}

\rightarrow\sf{=\frac{4}{3}×\frac{22}{7}×27}

\rightarrow\sf{=\frac{2,376}{21}}

\rightarrow\sf{=113.14m^3}

Therefore, the volume of the sphere \sf{=113.14m^3}, which can be rounded off to it's nearest tenth as \sf{113.1m^3}

____________________________________

Hope it helps you:)

3 0
2 years ago
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