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Luda [366]
2 years ago
10

Heights of certain plants at a nursery are normally distributed with a mean of 52.5 centimeters and a standard deviation of 7.2

centimeters. If their z-scores are greater than 2.25, the plants are displayed in the main lobby. To the nearest centimeter, what is the minimum required height for this type of plant to be displayed in the main lobby? Question 7 options: 68 cm 55 cm 69 cm 56 cm
Mathematics
1 answer:
telo118 [61]2 years ago
5 0

Answer:

The correct option is;

69 cm

Step-by-step explanation:

The z-score, or standard score is a measure of how far a data is from the mean

The z-score, is given by the relation;

z = \dfrac{x- \mu}{\sigma}

Z = Standard score

x = Value observed

μ = The mean height of the plants = 52.5 cm

σ = Standard deviation = 7.2 cm

Given that the z-score = 2.25, we have;

2.25 = \dfrac{x- 52.5}{7.2}

Therefore, x = 7.2 × 2.25 + 52.5 = 68.7 cm ≈ 69 cm

Therefore, the minimum required height for this type of plant to be displayed in the main lobby is 69 cm.

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The diameter of a circle is 2 miles. what is the circles radius?
luda_lava [24]

Answer:

the radius is half of the diameter so that would mean that the radius is 1 mile.

Step-by-step explanation:

5 0
3 years ago
What is the constant of proportionality,<br> ?
zalisa [80]
The constant value (often written k) relating amounts that rise or fall uniformly together. It is the ratio of the amounts y and x: k = y/x. Put another way: y = kx. Example: you are paid $20 an hour.
Hope this helps
Mark as brainliest
8 0
3 years ago
Can someone explain how you got the answer!!
gavmur [86]

9514 1404 393

Answer:

  20 square units

Step-by-step explanation:

The area is given by the formula ...

  A = bh

where b is the base of the parallelogram, and h is the perpendicular distance between the parallel bases. Using the numbers from the figure, we have ...

  A = 5·4 = 20 . . . . square units

_____

<em>Additional comment</em>

You will notice this is the same formula as is used for a rectangle. You can consider the parallelogram to have the same area as a rectangle of these dimensions if you look at what happens when you cut the right triangle from the right end and add it to the left end. The result is a rectangle 5 units wide and 4 units high.

The same formula applies even if the skew is so great that the bases do not overlap. (That much skew would not result in a triangle of the kind shown in this diagram.)

6 0
2 years ago
Kevin is 3 years older than Daniel. Two years ago, Kevin was 4 times as old as Daniel. How old is Kevin now?
GuDViN [60]
Let k and d be the Kevin's age and the Daniel's age;
We have the equation:
k = 3 + d;
k - 2 = 4( d - 2 );
We have 3 + d -  2 = 4d - 8;
Then, d + 1 = 4d - 8;
9 = 3d;
d = 3.
Finally, k = 6 years.












6 0
2 years ago
Read 2 more answers
Select the correct locations on the image.
Semenov [28]
This has to be done by hit and trial method. i.e. you have to checking adding which of the function from first column to function in second column will yield h(x).

The following functions yield given value of h(x).

f(x) = -2x + 3
g(x) = 7x - 9 

f(x) + g(x) = -2x +3 + 7x - 9
f(x) + g(x) = 5x -6 = h(x)

So, from 1st column its the cell number 3, and from the second column its the cell number 2. 
8 0
2 years ago
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