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Alinara [238K]
2 years ago
10

Mary measured the heights of two different plants every day. Plant A was 1 inch tall when

Mathematics
1 answer:
seropon [69]2 years ago
7 0

The heights of plant A and plant B will be equal on the day 8.

<h3>How to find the heights of the trees?</h3>

The height of the tree can be found as follows:

The equation for plant A can be described as follows:

y = 1 + 0.5x

where

x = number of days

y = height

The equation for plant B can be described as follows:

y = 3 + 0.25x

Therefore, for the height to be equal

1 + 0.5x =  3 + 0.25x

1 - 3 = 0.25x  - 0.5x

-2 = -0.25x

x = 2 / 0.25

x = 8 days

learn more on height here: brainly.com/question/16959984

#SPJ1

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In a​ lottery, 6 numbers are randomly sampled without replacement from the integers 1 to 50. Their order of selection is not i
nlexa [21]

Answer: 0.444225

Step-by-step explanation:

Given : The total number of tickets = 50

Number of tickets are randomly sampled without replacement  =6

Since the order of selection is not important , so we use combinations.

Total number of ways to select 6 tickets = ^{50}C_6

The number of winning tickets = 6

So, number of tickets that are not winning = 50-6=44

Number of ways of selecting zero winning numbers= ^{44}C_{6}

Now , the probability of holding a ticket that has zero winning numbers out of the 6 numbers selected for the winning ticket out of the 50 possible numbers would be \dfrac{^{44}C_{6}}{^{50}C_6}

=\dfrac{\dfrac{44!}{6!(44-6)!}}{\dfrac{50!}{6!(50-6)!}}\\\\\\=\dfrac{\dfrac{44\times43\times42\times41\times40\times39\times38!}{38!}}{\dfrac{50\times49\times48\times47\times46\times45\times44!}{44!}}\\\\\\=\dfrac{44\times43\times42\times41\times40\times39}{50\times49\times48\times47\times46\times45}\\\\=\dfrac{252109}{567525}\approx0.444225

Hence, the required probability = 0.444225

8 0
3 years ago
Students at Salt Lake Community College pay 1.585 × 10^4 dollars for tuition. Students at George Washington University pay 4.573
creativ13 [48]

Answer:

The answer to your question is: 28.85 times greater.

Step-by-step explanation:

Data

Salt Lake = 1.585 x 10⁴ dollars

George Washington = 4.573 x 10⁵ dollars

Rate =  George Washington / Salt Lake

Rate = 4.573 x 10⁵ / 1.585 x 10⁴

Rate = 28.85 times

5 0
3 years ago
How many points out of 416 do i need to get to get a 60% in class <br> Right now I have 153.
xeze [42]

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Step-by-step explanation: Take 416 times it by 0.6 Have a nice day. Hope it helped!

3 0
3 years ago
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The angle made by the ladder with the ground is degrees, and the length of the ladder is inches.
aleksley [76]

Answer:

59.04°

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Step-by-step explanation:

The solution triangle is attached below :

Since we have a right angled triangle, we can apply trigonometry to obtain the angle ladder makes with the ground;

Let the angle = θ

Tanθ = opposite / Adjacent

Tanθ = 50/30

θ = tan^-1(50/30)

θ = 59.036°

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The length of ladder can be obtained using Pythagoras :

Length of ladder is the hypotenus :

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Hypotenus = 58.309

Length of ladder = 58.31 inches

4 0
3 years ago
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