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inessss [21]
3 years ago
8

Y is directly proportional to x, and y = 45 when x = $600... Find y if x = $1000.

Mathematics
1 answer:
Paul [167]3 years ago
5 0

Answer:

The Answer is: 75.

Step-by-step explanation:

Set up the equation:

45 / 600 = y / 1000

600y = 45 * 1000

600y = 45000

y = 45,000 / 600 = 75.

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A continuous random variable X has cdf F(x)=x² b (a) Determine the constants a and b. for a < 0, for 0 < x < 1, for x &
Karolina [17]

Any proper CDF F(x) has the properties

• \displaystyle \lim_{x\to-\infty} F(x) = 0

• \displaystyle \lim_{x\to+\infty} F(x) = 1

so we have to have a = 0 and b = 1.

This follows from the definitions of PDFs and CDFs. The PDF must satisfy

\displaystyle \int_{-\infty}^\infty f(x) \, dx = 1

and so

\displaystyle \lim_{x\to-\infty} F(x) = \int_{-\infty}^{-\infty} f(t) \, dt = 0 \implies a = 0

\displaystyle \lim_{x\to+\infty} F(x) = \int_{-\infty}^\infty f(t) \, dt = 1 \implies b = 1

8 0
2 years ago
A backyard pool has a concrete walkway around it that is 3 feet wide on all sides. The total area of the pool and the walkway is
Gnoma [55]

Answer:

<h2><em>29.4 length and 21.4 width.</em></h2>

Step-by-step explanation:

To fin the dimensions of the pool we need to use the total area of the pool plus the concrete walkway. Lets say that <em>W </em>is the width and <em>L </em>the length. We know that, the walkway has 3 ft wide, this means that the width and length are increased by 6ft (3ft on each side). So, the total area can be expressed like this:  A_{total} = (L+6)(W+6).

In addition, we know that the total area is 970 and the length is 8 ft longer than the width (L=W+8). So:

A_{total} = (L+6)(W+6)\\970 = (W+8+6)(W+6)\\970=W^{2}+20W+84\\W^{2}+20W-886=0

With this quadratic equation we're gonna have to solution, the most reasonable is part of the answer. So, solving the equation we have as solutions: W_{1}=21.4 and  W_{2}=-41.4

Therefore, the width is 21.4 ft, because the negative number cannot represent distances.

Using the relation between length and width:

L=W+8\\L=21.4+8=29.4

<em>Therefore, the dimensions of the pool are 29.4 length and 21.4 width.</em>

7 0
3 years ago
Please help me please !!
sweet [91]

Answer:

Acute

Step-by-step explanation:

7² + 9² ? 11²

49 + 81 ? 121

130 is greater than 121, so it is an acute triangle

8 0
3 years ago
A city park has 4 splash pads. Each splash pad is in the shape of a parallelogram with a base of 5.4 meters and a height of 3.8
r-ruslan [8.4K]
c) 82.08 m^2

Hope I helped! ( Smiles )
5 0
3 years ago
Please Help It Was Due Yesterday!!!!<br> What is the 8th term in the Sequence?<br> An=25-3n
nasty-shy [4]

Answer:1

Step-by-step explanation:

5 0
2 years ago
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