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Angelina_Jolie [31]
2 years ago
7

Find the perimeter of squared garden if its area is 1369m2​

Mathematics
1 answer:
irina [24]2 years ago
6 0

Answer:

the perimeter is of 148 m

Step-by-step explanation:

the perimeter is the sum of all sides so an square has all sides equal so we have

P = x+x+x+x = 4x

and the area is

A=x^2=1369m^2

so we find x

\sqrt{x^2}=\sqrt{1369}\\\\x=37

and now the perimeter

P=4x\\\\P=4(37)\\\\P=148

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A production process is checked periodically by a quality control inspector. the inspector selects simple random samples of 30 f
777dan777 [17]

Answer:

Population Mean = 2.0

Population Standard deviation = 0.03

Step-by-step explanation:

We are given that the inspector selects simple random samples of 30 finished products and computes the sample mean product weight.

Also, test results over a long period of time show that 5% of the values are over 2.1 pounds and 5% are under 1.9 pounds.

Now, mean of the population is given the average of two extreme boundaries because mean lies exactly in the middle of the distribution.

So,   Mean, \mu = \frac{1.9+2.1}{2} = 2.0

Therefore, mean for the population of products produced with this process is 2.

Since, we are given that 5% of the values are under 1.9 pounds so we will calculate the z score value corresponding to a probability of 5% i.e.

             z = -1.6449 {from z % table}

We know that z formula is given by ;  

                Z = \frac{Xbar - \mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

              -1.6449 = \frac{1.9 - 2.0}{\frac{\sigma}{\sqrt{n} } }     ⇒  \frac{\sigma}{\sqrt{n} }  = \frac{-0.1}{-1.6449}  

                                           ⇒ \sigma = 0.0608 * \sqrt{30}  {as sample size is given 30}

                                           ⇒ \sigma = 0.03 .

Therefore, Standard deviation for the population of products produced with this process is 0.0333.

7 0
3 years ago
Find the 100th term of the following arithmetic sequence <br> 5.5, 6, 6.5, 7, ...
AysviL [449]

Answer:

  55

Step-by-step explanation:

The n-th term of an arithmetic sequence is given by the formula ...

  an = a1 + d(n -1)

where a1 is the first term (5.5) and d is the common difference (0.5).

So, the n-th term is ...

  an = 5.5 +0.5(n -1) = 5.0 +0.5n

For n = 100, the term is ...

  a100 = 5.0 +0.5(100) = 55

The 100th term of the sequence is 55.

8 0
3 years ago
Read 2 more answers
You are to wrap a shoe box to make it beautiful. What unit of measure is use to find the surface area of the shoe box
Vsevolod [243]
You would use “square units”

Hope this helps ;)
4 0
2 years ago
Help needed ASAP will give BRAINLIEST
lions [1.4K]

Answer:E

Step-by-step explanation: when you count the units you go down 8 and then you look over and see that it was moved to the right 7 times

3 0
3 years ago
5. Find the vertex and length of the latus rectum for the parabola.
olga55 [171]

Answer: (2,5)

Step-by-step explanation:

To find the x coordinate of the vertex, you will set  x-2=0 and solve for x

x-2=0

 +2  +2

x = 2  

Now since we know the vertex has an x coordinate of 2 we have to solve for y by plotting in the x value.

y= 1/2(2-2)^2 + 5

y = 0 +5

y =5

(2,5)

5 0
3 years ago
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