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erik [133]
3 years ago
14

The average height of corn stalks in a field is 71 inches with a standard deviation of 4.3 inches. Sketch a normal curve labelin

g the horizontal axis at one, two, and three standard deviations from the mean.
Mathematics
1 answer:
kvasek [131]3 years ago
8 0

Answer:

The answer is below

Step-by-step explanation:

The empirical rules states that for a normal distribution, 68% of the data falls within one standard deviation from the mean, 95% falls within two standard deviation from the mean and 99.7% falls within three standard deviations from the mean.

Given that:

mean (μ) = 71 inches, standard deviation (σ) = 4.3 inches

One standard deviation = μ ± σ = 71 ± 4.3 = (66.7, 75.3)

Two standard deviation = μ ± 2σ = 71 ± 2*4.3 = (62.4, 79.6)

Three standard deviation = μ ± 3σ = 71 ± 3*4.3 = (58.1, 83.9)

The graph is attached

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please help!!! the study conducted was 6 days long: there was 72mm of plant food and it decreased an equal amount each day.
Anuta_ua [19.1K]

Answer:

f(x) = 72 - 12x

Step-by-step explanation:

No. of days of study = 6

Amount of food to use for the 6 days = 72 mm

Given that equal amount of food was used each day, amount used per day = \frac{72}{6} = 12 mm

This would enable us derive a function for the amount of food remaining f(x), which can be expressed as a function of the number of days that have passed, (x).

Thus, we would have:

f(x) = 72 - 12x

Let's check if this equation expresses the relation of the function well.

At the end of day 1, if we used, 12mm, we would have 72 - 12 = 60mm of food remaining.

If we replace x in the equation we derived, we would get the same 60mm as the amount of food remaining.

If you try 2, 3, 4, 5 days, you'd get same thing.

At the end of the study, after the 6th day, the food would remain nothing.

Replace 6 for x in the relation function derived, you'd get a value of 0.

6 0
3 years ago
What are the end points of the triangle called? How are they labeled?
horrorfan [7]

For this case we have that by definition:

A triangle is defined by three lines that are called sides, or by three points called vertices.

We know that:

  1. <em>The vertices of a triangle are labeled with capital letters. </em>
  2. <em>The sides of a triangle are written with lowercase letters. </em>
  3. <em>The angles of a triangle are written similarly to the vertices. </em>

Answer:

The end points of the triangle are called vertices.

They are labeled in capital letters.

6 0
3 years ago
Question 19 (5 points) ✔ Saved
zheka24 [161]

The order of temperature values become -16.7°C > -11.15°C > -7°C > 3°C And -16.7°C is the coolest temperature and 3°C is the warmest as compare to others.

According to the statement

we have given that the some values of the temperatures and we have to write it in the order from the coolest to the warmest means in increasing order.

So, For this purpose,

The given values of temperatures are:

3°C , -7°C , 2°F, 262 K

Firstly convert into one form

So, convert all values in Celsius form,

3°C = 3°C

-7°C = -7°C

2°F = -16.7°C

262 K = -11.15°C

Now arrange into the order from coolest to warmest

So, it will become

-16.7°C > -11.15°C > -7°C > 3°C

So, -16.7°C is the coolest temperature and 3°C is the warmest as compare to others.

The order of temperature values become -16.7°C > -11.15°C > -7°C > 3°C And -16.7°C is the coolest temperature and 3°C is the warmest as compare to others.

Learn about the increasing order here

brainly.com/question/14662181

#SPJ1

7 0
1 year ago
Which of the following statements about trapezoids is true? 
maw [93]

    D one pair of opposite sides is parallel is the answer because trapezoids are another pair angled towards each and if  you follow long enough they will intersect. A couldn't be true because if ALL the angles are corresponding angles you would need two pairs of parallel lines. B isn't correct because the sides would need to be parallel for that too. C well you've already proved they don't have two pairs of parallel lines.

Hope this helps :)

4 0
3 years ago
Read 2 more answers
4/5 ÷ 7/6 + 2/7 ∙2 1/5
Aleksandr [31]
<h2>The value of \dfrac{4}{5} ÷ \dfrac{7}{6} + \dfrac{2}{7}.2\dfrac{1}{5} =\dfrac{8}{7}</h2>

Step-by-step explanation:

We have,

\dfrac{4}{5} ÷ \dfrac{7}{6} + \dfrac{2}{7}.2\dfrac{1}{5}

To find, the value of \dfrac{4}{5} ÷ \dfrac{7}{6} + \dfrac{2}{7}.2\dfrac{1}{5} = ?

∴ \dfrac{4}{5} ÷ \dfrac{7}{6} + \dfrac{2}{7}.2\dfrac{1}{5}

=\dfrac{4}{5}\times \dfrac{6}{7} +\dfrac{2}{7}.\dfrac{8}{5}

=\dfrac{24}{35} +\dfrac{16}{35}

Taking LCM of denominator, we get

=\dfrac{24+16}{35}

=\dfrac{40}{35}

Dividing numerator and denominator by 5, we get

=\dfrac{8}{7}

∴ The value of \dfrac{4}{5} ÷ \dfrac{7}{6} + \dfrac{2}{7}.2\dfrac{1}{5} =\dfrac{8}{7}

Hence, the value of \dfrac{4}{5} ÷ \dfrac{7}{6} + \dfrac{2}{7}.2\dfrac{1}{5} is equal to \dfrac{8}{7} .

4 0
3 years ago
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