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Lynna [10]
3 years ago
13

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

s, and the standard deviation of the normally distributed weights is 1.75 pounds. Of the 200 plants in the experiment, how many produced peppers weighing between 13 and 16 pounds
Mathematics
1 answer:
DanielleElmas [232]3 years ago
4 0

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.

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malfutka [58]

The expression which is equivalent to 6 Superscript 4 times 6 cubed and posses same value as this expression is,

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<h3>What is the equivalent expression?</h3>

Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.

The given statement for the expression is 6 Superscript 4 times 6 cubed. This expression cab be written as,

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Suppose the equivalent expression of this equation is n. Thus,

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The 4 power of number 6 means that the number 6 should be multiplied 4 times.

n=(6\times6\times6\times6)\times6

Hence, the expression which is equivalent to 6 Superscript 4 times 6 cubed and posses same value as this expression is,

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Learn more about the equivalent expression here;

brainly.com/question/2972832

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2 years ago
How do you do advanced order of operations? Need help on my homework!
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3 years ago
The sum of two numbers is 54. The large number is 18 more than the sampler number. What are the numbers ?
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Step-by-step explanation:

1. You know that the sum of two numbers is 54, then, you have:

a+b=54

2. According to the problem, the larger number is 18 more than the sampler number, this can be expressed as following:

a=b+18

3. Then, you must substitute the second equation into the first equation and solve for b:

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4. Then the value of a is:

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