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Ad libitum [116K]
3 years ago
14

The sum of z and 7 algebraic expression

Mathematics
1 answer:
snow_tiger [21]3 years ago
6 0

Step-by-step explanation:

The algebraic expression for The sum of z and 7 algebraic expression is given as:

z + 7

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A local mattress manufacturer wants to know if its manufacturing process is in or out of control and has hired you, a statistics
balandron [24]

Answer:

a. 95.4

b. UCL = 96.07

LCL = 94.73

c.  Process is in control

Step-by-step explanation:

a. The computation of estimate mean is shown below:-

Estimate\ mean = \frac{\Sigma X}{N} \\\\ = \frac{1908.000}{20}

= 95.4

b. The computation of Upper Control Limit (UCL) and the Lower Control Limit (LCL) for the manufacturing process is shown below:-

UCL = Mean + \frac{3\times \sigma }{\sqrt{Sample\ size} }

UCL = 95.4 + \frac{3\times (0.5)}{\sqrt{0.5} }

= 95.4 + 0.67082

= 96.07

UCL = Mean - \frac{3\times \sigma }{\sqrt{Sample\ size} }

UCL = 95.4 - \frac{3\times (0.5)}{\sqrt{0.5} }

= 95.4 - 0.67082

= 94.73

c. The explanation is shown below:-

From the above calculation we can see that the sample lies between LCL AND UCL that is (94.73 ,96.07) ,  

The Process is in control

7 0
3 years ago
in a factory that manufactures tires, a machine responsible for molding the tire has a failure rate of 0.2%. If 1,000 tires are
goldfiish [28.3K]
Okay, so let's find the actual failure rate first. 6/1000 times 100 (to give over a 100%) equals to 0.6. The actual failure rate is 0.6%. The theoretical probability is 0.2% 0.6-0.2=0.4. The difference is 0.4%. 
Hope that helped!
4 0
3 years ago
Read 2 more answers
Find the lateral area of the following cone.<br> Leave your answer in terms of pi
LenKa [72]

Answer:

The lateral surface area of cone is A = π×r×l where r represents radius and l is slant height.

The formula to find slant height is l = √(h²+r²) where h represents height.

8 0
3 years ago
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√180 can be expressed in the form p√q. where p and q are integers. Find the smallest value of p + q. ​
frutty [35]

Answer:  

The smallest value of p+q is 11

It happens when p = 6 and q = 5.

=======================================================

Explanation:

Let's factor 180 in such a way that exactly one factor is a perfect square.

I'll ignore the trivial factor of 1.

Here are the possible factorizations we could go with:

180 = 4*45

180 = 9*20

180 = 36*5

Those factorizations then lead to the following

\sqrt{180} = \sqrt{4*45} = \sqrt{4}*\sqrt{45}= 2\sqrt{45}\\\\\sqrt{180} = \sqrt{9*20} = \sqrt{9}*\sqrt{20}= 3\sqrt{20}\\\\\sqrt{180} = \sqrt{36*5} = \sqrt{36}*\sqrt{5}= 6\sqrt{5}\\\\

Then we have

p+q = 2+45 = 47

p+q = 3+20 = 23

p+q = 6+5 = 11

The smallest value of p+q is 11 and it happens when p = 6 and q = 5.

Side note: p+q is smallest when we go with the largest perfect square factor.

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1 year ago
Help me with this- 10 points
kotykmax [81]

Answer:

The model on the top right.

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3 years ago
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