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KiRa [710]
4 years ago
8

A recent botany experiment showed a variety of results for the height of certain plants. The results followed a normal distribut

ion with a mean of 8.4 feet and a standard deviation of 2.2 feet. Find the probability that a randomly selected plant with have a height less than 6.0 feet
Mathematics
2 answers:
Varvara68 [4.7K]4 years ago
5 0
Answer: About 13.79% of the plants will have a height of less than 6.0 feet.

To answer this question, we first need to know how many standard deviations it is below the mean. That is called the z-score.

To find the z-score, we determine the difference of the expected value and the mean. Then, we divide that by the standard deviation.

(6 - 8.4) / 2.2 = -1.09

A height of 6 is -1.09 standard deviations below the mean. Looking up the probability for a z-score of -1.09 gives us a value of 13.79%.
TiliK225 [7]4 years ago
4 0

Answer:

13.79%

Step-by-step explanation:

gradpoint

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When simplifying rational numbers, what would the answer be to 57/69
Irina-Kira [14]
You don't simplify rational numbers, but sometimes you can simplify a fraction.
The way to do that is to divide the top and bottom by their greatest common factor.

The greatest common factor of 57 and 69 is 3 .  When you divide the top and
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3 years ago
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If a = 12 and 120% of a is equal to 80\% of bthen what is a + b ?
Novosadov [1.4K]

Answer:

The answer is 30

Step-by-step explanation:

First you have to find 120% of a (12).

\frac{12}{1}  \times  \frac{120}{100}  = 14.4

Therefore; 14.4 is 80% of b, and we are trying to find 100% of b

14.4 = 80\% \\ x = 100\%

we do not know what is 100% therefore we call it *x*. In order to find this unknown value *x* we cross multiply.

14.4 \times 100\% = 80\% \times x

This is the same as saying;

14.4  \times 1 = x \times  \frac{4}{5}

100% percent would be 1 because it is the whole number we are trying to find. The 80% would be 4/5. To get 4/5 you can simply break down 80/100 ( this is 80% as a fraction).

so the new equation is: 14.4= 4/5x

We divide both sides by 4/5. Then we will get x tobe equal to 18. Therefore b is 18. We were asked to find (a + b) so.<em> </em><em>1</em><em>8</em><em>+</em><em>1</em><em>2</em><em> </em><em>=</em><em> </em><em>30</em>

4 0
2 years ago
I don't get it !!?
Ipatiy [6.2K]
For this kind of questions, what you can do is to find a point on the figure and see what translations it does.

For example, you can find the point (4,2) on the figure H. And then look at each choices to see if the statement is correct.

For this question, the answer is B. The point (4,2) finally change to the (4,-8) on the figure H'. It has a vertical translation of 10 units down.
3 0
3 years ago
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The class sizes of the introductory psychology courses at a college are shown below 121,134,106,93,149,130,119,128 the college a
frozen [14]
Center : Mean  Before the introduction of the new course, center = average(121,134,106,93,149,130,119,128) = 122.5  After the introduction of the new course, center =  average(121,134,106,93,149,130,119,128,45) = 113.9  The center has moved to the left (if plotted in a graph) because of the low intake for the new course.  Spread before introduction of the new course :  Arrange the numbers in ascending order:  (93, 106,119, 121), (128, 130,134, 149) Q1=median(93,106,119,121) = 112.5 Q3=median(128,130,134,149) = 132  Spread = Interquartile range = Q3-Q1 = 19.5  After addition of the new course,

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3 0
4 years ago
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From the top of a building, the angle of elevation to the top of a nearby building is 28° and the angle of depressions to the bo
kicyunya [14]

Answer:

Step-by-step explanation:

The idea here is to find the value for x and y, then add them together. See the pic I attached below. We will solve for side x first.

Side s is across from the reference angle of 48 degrees; side measuring 50 m is adjacent to the reference angle 48 degrees. Therefore, we will use the tangent ratio to solve for x:

tan48=\frac{x}{50} and

50tan(48) = x so

x = 55.53m

Now we will do the same and solve for y. This time the reference angle is 28 degrees. Side y is opposite the reference angle and the side measuring 50 is adjacent to the reference angle, so we will use the tangent ratio again:

tan28=\frac{y}{50} and

50tan(28) = y so

y = 26.59. Therefore,

x + y = 55.53 + 26.59 and

the height of the taller building is

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