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AleksandrR [38]
3 years ago
12

-3 1/6 + 2 7/9 + 5 2/3 estimated

Mathematics
1 answer:
adelina 88 [10]3 years ago
3 0

Answer:

5.28 if you round to the nearest hundredth. Drop a best answer and a like if it helped

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If the average yield of cucumber acre is 800 kg, with a variance 1600 kg, and that the amount of the cucumber follows the normal
lorasvet [3.4K]

Answer:

a

   The  percentage is

            P(x_1 <  X <  x_2 ) =   51.1 \%

b

   The probability is  P(Z >  2.5 ) =  0.0062097

Step-by-step explanation:

From the question we are told that

        The  population mean is  \mu =  800

        The  variance is  var(x) =  1600 \ kg

        The  range consider is  x_1 =  778 \ kg  \  x_2 =  834 \ kg

         The  value consider in second question is  x =  900 \ kg

Generally the standard deviation is mathematically represented as

        \sigma =  \sqrt{var (x)}

substituting value

        \sigma =  \sqrt{1600}

       \sigma = 40

The percentage of a cucumber give the crop amount between 778 and 834 kg  is mathematically represented as

       P(x_1 <  X <  x_2 ) =  P( \frac{x_1 -  \mu }{\sigma} <  \frac{X - \mu }{ \sigma } < \frac{x_2 - \mu }{\sigma }   )

    Generally  \frac{X - \mu }{ \sigma } = Z (standardized \  value  \  of  \  X)

So

      P(x_1 <  X <  x_2 ) =  P( \frac{778 -  800 }{40} < Z< \frac{834 - 800 }{40 }   )

      P(x_1 <  X <  x_2 ) =  P(z_2 < 0.85) -  P(z_1 <  -0.55)

From the z-table  the value for  P(z_1 <  0.85) =  0.80234

                                            and P(z_1 <  -0.55) =   0.29116  

So

             P(x_1 <  X <  x_2 ) =   0.80234 - 0.29116

             P(x_1 <  X <  x_2 ) =   0.51118

The  percentage is

            P(x_1 <  X <  x_2 ) =   51.1 \%

The probability of cucumber give the crop exceed 900 kg is mathematically represented as

             P(X > x ) =  P(\frac{X - \mu }{\sigma }  > \frac{x - \mu }{\sigma } )

substituting values

             P(X > x ) =  P( \frac{X - \mu }{\sigma }  >\frac{900 - 800 }{40 }   )

             P(X > x ) =  P(Z >2.5   )

From the z-table  the value for  P(Z >  2.5 ) =  0.0062097

 

7 0
4 years ago
How many faces does the polyhedron have? _ faces How many vertices does the polyhedron have? _vertices How many edges does the p
Sindrei [870]

The polyhedron has:

6 Faces, 8 vertices and 12 edges <u>in</u><u> </u><u>total</u><u>.</u>

But

3 Faces, 7 vertices and 7 edges <u>are</u><u> </u><u>visible</u><u>.</u>

5 0
3 years ago
Simplify the following expressions using Order of Operations.<br><br> 4+ 8 = 2 + 6 x 2
Hunter-Best [27]

Answer:

12 ≠ 14

Step-by-step explanation:

(4+8)=2+(6x2)

12 = 2 + 12

12 ≠ 14.

So the equation is false.

4 0
3 years ago
Andy has three planks of wood. Two planks are each 1.5 m long. One plank is 2.5m long. What is the total length of all the three
11Alexandr11 [23.1K]

Given:

Two planks are each 1.5 m long.

One plank is 2.5m long.

To find:

The total length of all the three planks.

Solution:

Two planks are each 1.5 m long. So,

First plank = 1.5 m

Second plank = 1.5 m

One plank is 2.5m long. So,

Third plank = 2.5 m

Now, the total length of all the three planks is

\text{Total length}=\text{First plank + Second plank + Third plank}

\text{Total length}=1.5+1.5+2.5

\text{Total length}=5.5

Therefore, the total length of all the three planks is 5.5 m.

4 0
3 years ago
Approximately how many times greater os 6x10-5 then 5x10-9?
lions [1.4K]

Answer:

14

Step-by-step explanation:

6 x 10 = 60

60 - 5 = 55

5 x 10 = 50

50 - 9 = 41

55 - 41 = 14


6 0
3 years ago
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