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Vika [28.1K]
3 years ago
8

The histogram shows the heights in means of trees in a certain section of a park

Mathematics
1 answer:
aleksley [76]3 years ago
6 0
<h2>Answer:</h2>

The number of trees which are less than 20 meters are:

                                  9

<h2>Step-by-step explanation:</h2>

Based on the histogram we are asked to find the number of trees which are less than 20 meters in height.

  Class interval             Frequency

        4-8                             1

        8-12                            2

        12-16                           2

        16-20                          4

        20-24                          6

        24-28                          4

        28-32                          2

i.e. we are asked to find the  total number of tress that lie in the class interval 4-20.

i.e. we add the frequencies that lie in the interval 4-20

i.e. Number of trees= 1+2+2+4=9 trees.

   

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The seasonal output of a new experimental strain of pepper plants was carefully weighed. The mean weight per plant is 15.0 pound
DanielleElmas [232]

Answer:

There are 118 plants that weight between 13 and 16 pounds

Step-by-step explanation:

For any normal random variable X with mean μ and standard deviation σ : X ~ Normal(μ, σ)  

This can be translated into standard normal units by :  

Z = \frac{(X - \mu)}{\sigma}

Let X be the weight of the plant  

X ~ Normal( 15 , 1.75 )  

To find : P( 13 < X < 16 )  

= P(\frac{( 13 - 15 )}{1.75} < Z < \frac{( 16 - 15 )}{1.75})

= P( -1.142857 < Z < 0.5714286 )  

= P( Z < 0.5714286 ) - P( Z < -1.142857 )  

= 0.7161454 - 0.1265490  

= 0.5895965  

So, the probability that any one of the plants weights between 13 and 16 pounds is 0.5895965  

Hence, The expected number of plants out of 200 that will weight between 13 and 16 = 0.5895965 × 200

                                            = 117.9193  

Therefore, There are 118 plants that weight between 13 and 16 pounds.

4 0
3 years ago
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5 0
3 years ago
ADante begins to evaluate the expression 3 1/3 × 51/4 using the steps below. Which could be his next step?
antiseptic1488 [7]

Answer:

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Step-by-step explanation:

4 0
3 years ago
Solve for X.<br> (Picture)
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6 0
3 years ago
A radar is designed to report the track of an aircraft every 2 seconds. If this radar reports 15 reports 15 tracks in one minute
meriva

Answer:

Step-by-step explanation:

Since radar reports 30 tracks in one minute in which 60 seconds makes 1 minute

Let calculate using this formula

Using this formula

Percentage of time=Tracks reported in minutes/60 seconds*100

Let plug in the formula

Percentage of time=30 tracks/60 seconds*100

Percentage of time=0.5*100

Percentage of time=50%

Inconclusion The percentage of the time that  radar track the aircraft is 50%

5 0
3 years ago
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