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amm1812
3 years ago
9

In an agricultural study, the average amount of corn yield is normally distributed with a mean of 185.2 bushels of corn per acre

, with a standard deviation of 23.5 bushels of corn. If a study included 1200 acres, about how many would be expected to yield more than 206 bushels of corn per acre?
Mathematics
1 answer:
babunello [35]3 years ago
6 0

Answer:

About 786 would be expected to yield more than 180 bushels of corn per acre

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean  and standard deviation , the zscore of a measure X is given by:

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W=1000M-200 rearrange your make M the subject
Anton [14]

Answer:

M = \frac{w+200}{1000}

Step-by-step explanation:

Given

w = 1000M - 200 ( isolate 1000M by adding 200 to both sides )

w + 200 = 1000M ( divide both sides by 1000 )

\frac{w+200}{1000} = M

7 0
3 years ago
Visitors to a cinematic are either children, adults or pensioners. Ratio of children to adult visitors is 1:2 Ratio of adults to
VMariaS [17]

Ratio of children, adults and pensioners is 1 : 2 : 8/3 = 3 : 6 : 8.

Let, 3x is number of children.

So, 6x is number of adults and 8x is number of pensioners.

Now,

3x + 6x + 8x = 85

17x = 85

x = 5

Therefore, number of pensioners are 8×5 = 40.

Hence, this is the required solution.

7 0
4 years ago
How many elements does A contains if it has 64 subsets​
Amanda [17]
<h3>Answer:  6</h3>

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

Explanation:

Rule: If a set has n elements in it, then it will have 2^n subsets.

For example, there are n = 3 elements in the set {a,b,c}. This means there are 2^n = 2^3 = 8 subsets. The eight subsets are listed below.

  1. {a,b,c} .... any set is a subset of itself
  2. {a,b}
  3. {a,c}
  4. {b,c}
  5. {a}
  6. {b}
  7. {c}
  8. { } ..... the empty set

Subsets 2 through 4 are subsets with exactly 2 elements.  Subsets 5 through 7 are singletons (aka sets with 1 element). The last subset is the empty set which is a subset of any set. You could use the special symbol \varnothing to indicate the empty set.

For more information, check out concepts relating to the power set.

-------------------

The problem is asking what value of n will make 2^n = 64 true.

You could guess-and-check your way to see that 2^n = 64 has the solution n = 6.

Another approach is to follow these steps.

2^n = 64\\\\2^n = 2^6\\\\n = 6

Which is fairly trivial.

Or you can use logarithms to solve for the exponent.

2^n = 64\\\\\text{Log}\left(2^n\right)=\text{Log}\left(64\right)\\\\n*\text{Log}\left(2\right)=\text{Log}\left(64\right)\\\\n=\frac{\text{Log}\left(64\right)}{\text{Log}\left(2\right)}\\\\n\approx\frac{1.80617997398389} {0.30102999566399} \ \text{ ... using base 10 logs}\\\\n\approx5.99999999999983\\\\

Due to rounding error, we don't land exactly on 6 even though we should.

5 0
2 years ago
Model the following situation with an equation or inequality statement.
olganol [36]

Answer:

2x=1

Step-by-step explanation:

Use x for "a number"

x times 2 = 1

2x=1

which solves for 0.5 or 1/2

3 0
3 years ago
Round off 43,876,503 to the nearest thousand
natali 33 [55]
Answer: 43,877,000
Hoped that helped♡♡
4 0
3 years ago
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