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tatyana61 [14]
3 years ago
12

Farmer Jan is a vegetable farmer who divides his field between broccoli crops and spinach crops. Last year, he grew 6 tons of br

occoli per acre and 9 tons of spinach per acre, for a total of 93 tons of vegetables. This year, he grew 2 tons of broccoli per acre and 3 tons of spinach per acre, for a total of 31 tons of vegetables. how many acres of broccoli crops and how many acres if spinach crops does farmer jan have?​
Mathematics
1 answer:
ankoles [38]3 years ago
5 0

Answer:

There is no unique solution to this problem.

There are infinitely many solutions to this problem.

Step-by-step explanation:

Let B denotes broccoli crop

Let S denotes spinach crop

Last year, he grew 6 tons of broccoli per acre and 9 tons of spinach per acre, for a total of 93 tons of vegetables.

Mathematically,

6B + 9S = 93        eq. 1

This year, he grew 2 tons of broccoli per acre and 3 tons of spinach per acre, for a total of 31 tons of vegetables.

Mathematically,

2B + 3S = 31

2B = 31 -  3S

B = (31 -  3S)/2      eq. 2

Substitute eq. 2 into eq. 1

6B + 9S = 93

6[(31 -  3S)/2] + 9S = 93

3(31 -  3S) + 9S = 93

93 - 9S + 9S = 93

- 9S + 9S = 93 - 93

0 = 0

Therefore, there is no unique solution to this problem.

Which means that there are infinitely many solutions to this problem.

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Marina sells candles that are in the shape of cones. she makes a yellow candle that has a diameter of 4 inches and a height of 1
Katena32 [7]

The correct statements are:

  • the volume of the yellow candle is about 46.05 inches cubed.
  • the radius of the yellow candle is 2 in
  • he base area of the yellow candle is about 6.28 inches squared.
  • the price of one yellow candle is about $16.12.

<h3>What are the correct statements?</h3>

Volume of a cone = 1/3(πr²h)

  • π = 3.14
  • r = radius = diameter / 2 = 4/2 = 2 inches
  • h = height

Volume of a cone = 1/3 x 2² x 11 x 3.14 = 46.05 inches cubed.

Base area = πr²

3.14 x 4 =  12.56 inches squared.

Price of one yellow candle = volume x price per cubic unit

46.05 x  $0.35 = $16.12

To learn more about the volume of a cone, please check: brainly.com/question/13705125

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3 0
2 years ago
Agnes Hammer is a senior majoring in management science. She has been interviewing with several companies for a job when she gra
stiks02 [169]

Answer:

Mean = 30516.67

Standard deviation, s = 3996.55

P(x < 27000) = 0.0011518

Step-by-step explanation:

Given the data:

28500 35500 32600 36000 34000 25700 27500 29000 24600 31500 34500 26800

Mean, xbar = Σx / n = 366200 /12 = 30516.67

Standard deviation, s = [√Σ(x - xbar) / n-1]

Using calculator, s = 3996.55

The ZSCORE = (x - mean) / s/√n

Zscore = (27000 - 30516.67) / (3996.55/√12)

Zscore = - 3516.67 / 1153.7046

Zscore = - 3.048

P(x < 27000) = P(Z < - 3.049) = 0.0011518

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3 years ago
6.04)The equation of the line of best fit of a scatter plot is y = −8x + 3. What is the the y-intercept? −8 −3 3 8
liberstina [14]
The y-intercept is 3...when plottibg this plot 3 first then use -8x (-8/1) as your slope form your y-intercept going both directions.
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Akimi4 [234]

Answer:

Step-by-step explanation:

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E probability of observing the experiment result, a sample mean, for example, or something more unusual just by chance if the nu
pentagon [3]

The probability of observing the experiment result, a sample mean, for example, or something more unusual just by chance if the null hypothesis is true is the definition of "P-Value."

<h3>What is null hypothesis?</h3>

A null hypothesis is a sort of statistical hypothesis which asserts that there is no statistical significance in a particular set of observations.

Using sample data, hypothesis testing is performed to determine the believability of a theory. It really is expressed as H0 and is also known to simply as "null."

Some key features regarding null hypothesis are-

  • A null hypothesis is a statistical conjecture that claims there is no variation between particular qualities of a population and data-generating process.
  • The alternate hypothesis asserts the existence of a distinction.
  • Hypothesis testing allows you to reject the null hypothesis with a particular level of confidence.
  • If the null hypothesis can be rejected, it lends support to the alternative hypothesis.
  • The notion of falsity in science is founded on null hypothesis testing.

To know more about null hypothesis, here

brainly.com/question/14016208

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8 0
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