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qaws [65]
3 years ago
7

What fraction of the dunk tanks require at least 500 gallons of water? Write the fraction in simplest form.

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
7 0

Answer:

1/2

Step-by-step explanation:

Based on the information observed from the attached box and whisker plot, the Fraction of dunk tanks which requires atleast 500 gallons of water. This fractional value will be the property of plot in the position marked as 500 on the plot. The point which refers to 500 gallons on the plot is the ticked point in between the box. This point represents the median value in a box and whisker plot.

The median value represents the 50th percentile value which relates to half of the distribution. This means that fraction of dunk which requires atleast 500 gallons is : (50/100) = 1/2

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A system for tracking ships indicated that a ship lies on a hyperbolic path described by 5x2 - y2 = 20. the process is repeated
malfutka [58]
Answer:
The ship is located at (3,5)

Explanation:
In the first test, the equation of the position was:
5x² - y² = 20 ...........> equation I
In the second test, the equation of the position was:
y² - 2x² = 7 ..............> equation II
This equation can be rewritten as:
y² = 2x² + 7 ............> equation III

Since the ship did not move in the duration between the two tests, therefore, the position of the ship is the same in the two tests which means that:
equation I = equation II

To get the position of the ship, we will simply need to solve equation I and equation II simultaneously and get their solution.

Substitute with equation III in equation I to solve for x as follows:
5x²-y² = 20
5x² - (2x²+7) = 20
5x² - 2y² - 7 = 20
3x² = 27
x² = 9
x = <span>± </span>√9

We are given that the ship lies in the first quadrant. This means that both its x and y coordinates are positive. This means that:
x = √9 = 3

Substitute with x in equation III to get y as follows:
y² = 2x² + 7
y² = 2(3)² + 7
y = 18 + 7
y = 25
y = +√25
y = 5

Based on the above, the position of the ship is (3,5).

Hope this helps :)
7 0
3 years ago
The time that a butterfly lives after emerging from its chrysalis can be modelled by a random variable T, the model here taking
olasank [31]
Xd answer is d I hope u find the answer
8 0
3 years ago
What is the simplest form of Negative 0.14 in a mixed number
Kazeer [188]
0.14 = 14/100 = 7/50
7 0
3 years ago
Need answers ASAP pls!!
dezoksy [38]

Answer:

<em>Good Luck!</em>

Step-by-step explanation:

7 0
2 years ago
The area of a trapezoid is
horrorfan [7]

Answer:

<h2>The answer is 15cm</h2>

Step-by-step explanation:

Let b be the length of the second parallel side

Area of a trapezium is given by

A =  \frac{1}{2} (a + b)h

where

h is the height

a and b are the parallel sides

From the question

Area = 230 cm²

height = 20cm

one of parallel side / a = 8 cm

Substitute the values into the above formula and solve for b

That's

230 =  \frac{1}{2} ( 8 + b) 20

Reduce the fraction with 2

That's

230 = (8 + b) \times 10

Expand the terms

That's

230 = 80 + 10b

10b = 230 - 80 \\ 10b = 150

Divide both sides by 10

We have the final answer as

<h3>b = 15cm</h3>

Hope this helps you

4 0
2 years ago
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