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3 years ago

12

A line parallel to a triangle’s side splits one side into lengths of 9 and 3. The other side is split into lengths of 12 and x.

What is the value of x? (Enter the number only)

1 answer:

mash [69]3 years ago

6 0

The value of x is 4 due to the formation of proportion

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732,178 + 167 - 542,137

Bezzdna [24]

Answer:

190,208

Step-by-step explanation:

732,178 + 167 = 732345

732345 - 542,137 = 190,208

6 0

3 years ago

Read 2 more answers

Suppose the time to process a loan application follows a uniform distribution over the range of 8 to 13 days. What is the probab

Arlecino [84]

Answer: 0.2

Step-by-step explanation:

We know that , the probability density function for uniform distribution is given buy :-

$f(x)=\dfrac{1}{b-a}$ , where x is uniformly distributed in interval [a,b].

Given : The time to process a loan application follows a uniform distribution over the range of 8 to 13 days.

Let x denotes the time to process a loan application.

So the probability distribution function of x for interval[8,13] will be :-

$f(x)=\dfrac{1}{13-8}=\dfrac{1}{5}$

Now , the probability that a randomly selected loan application takes longer than 12 days to process will be :-

$\int^{13}_{12}\ f(x)\ dx\\\\=\int^{13}_{12}\dfrac{1}{5}\ dx\\\\=\dfrac{1}{5}[x]^{13}_{12}\\\\=\dfrac{1}{5}(13-12)=\dfrac{1}{5}=0.2$

Hence, the probability that a randomly selected loan application takes longer than 12 days to process = 0.2

8 0

3 years ago

A train leaves little rock Arkansas, travels north at 85 kilometers per hour. another train leaves same time and travels south a

iragen [17]

Hi,

Let us denote first train with T₁, its distance d₁, its speed v₁ = 85 km/h.

Similarly, second train would be with T₂, its distance d₂, its speed v₂ = 80 km/h. Also, let d be total distance, d = 495 km.

Given being the fact that train T₁ travels north, and train T₂ travels south, their path is on a straight vertical line. Please create a simple drawing, you will see the vertical line immediately.

Then, we need to find the time t, when d₁ + d₂ = d = 495 km (1)

Each speed v₁, and v₂ is constant, therefore we apply very well known formula:

d₁ = v₁·t, and d₂ = v₂·t (2).

From (1) and (2) we have:

v₁·t + v₂·t = d, or (v₁ + v₂)t = d ⇒ t = d/(v₁ + v₂) = 495/(80 + 85) = 495/165 = 3 hours.

So, it takes 3 hours to have those 2 trains 495 km apart.

Green eyes.

6 0

3 years ago

Jake and his cousin adriane live in opposite hemispheres on earth. if it is march 20 (spring equinox) where jake lives, which ti

Lena [83]

The choices listed elsewhere and as follows:
spring equinox
fall equinox
summer equinox
winter solstice
summer solstice

I think the correct answer from the choices listed above is the second option. It would be the fall equinox the time of the year where Adriane lives. Hope this answers the question. Have a nice day. Feel free to ask more question. Thank you.

8 0

3 years ago

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Will is w years old.<br> Ben is 3 years older.<br> write an expression, in terms of w, for bens age

liubo4ka [24]

W + 3 = Ben's age or 3 + w = Ben's age, either way.

6 0

3 years ago