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3 years ago

I’m not sure on what to do for these problems…can someone help me please

Mathematics

1 answer:

Ray Of Light [21]3 years ago

3 0

Answer:

You need to find k, the constant of proportionality, by dividing y with its corresponding x.

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A rectangular lawn 70m by 50m has two cross roads each 6m wide running in the

ser-zykov [4K]

Area of road =70*50=3500
3500*2=7000 because it has cross road
6*6=36
7000-36=6964
6964*5.50=38302

6 0

3 years ago

The scale on a map that 5 centimeters = 2 kilometers

spin [16.1K]

So that is what we call a ratio and it looks like this
$\frac{5cm}{2km} \\$

3 0

3 years ago

A bus travels on an east-west highway connecting two cities A and B that are 100 miles apart. There are 2 services stations alon

melamori03 [73]

Answer:

51/4

Step-by-step explanation:

To begin with you have to understand what is the distribution of the random variable. If X represents the point where the bus breaks down. That is correct.

X~ Uniform(0,100)

Then the probability mass function is given as follows.

$f(x) = P(X=x) = 1/100 \,\,\,\, \text{if} \,\,\,\, 0 \leq x \leq 100\\f(x) = P(X=x) = 0 \,\,\,\, \text{otherwise}$

Now, imagine that the D represents the distance from the break down point to the nearest station. Think about this, the first service station is 20 meters away from city A, and the second station is located 70 meters away from city A then the mid point between 20 and 70 is (70+20)/2 = 45 then we can represent D as follows

$D(x) =\left\{ \begin{array}{ll} x & \mbox{if } 0\leq x \leq 20 \\ x-20 & \mbox{if } 20\leq x < 45\\ 70-x & \mbox{if } 45 \leq x \leq 70\\ x-70 & \mbox{if } 70 \leq x \leq 100\\ \end{array}\right.$

Now, as we said before X represents the random variable where the bus breaks down, then we form a new random variable $Y = D(X)$ , $Y$ is a random variable as well, remember that there is a theorem that says that

$E[Y] = E[D(X)] = \int\limits_{-\infty}^{\infty} D(x) f(x) \,\, dx$

Where $f(x)$ is the probability mass function of X. Using the information of our problem

$E[Y] = \int\limits_{-\infty}^{\infty} D(x)f(x) dx \\= \frac{1}{100} \bigg[ \int\limits_{0}^{20} x dx +\int\limits_{20}^{45} (x-20) dx +\int\limits_{45}^{70} (70-x) dx +\int\limits_{70}^{100} (x-70) dx \bigg]\\= \frac{51}{4} = 12.75$

3 0

4 years ago

How to convert 9hours 36 minutes to a fraction

cupoosta [38]

Answer:

Step-by-step explanation:

9*60+36= 540+ 36= 576 minutes

so it is = 576/ 60 hours

6 0

4 years ago

A direct variation function contains the points (2, 14) and (4, 28). Which equation represents the function?

IgorC [24]

Direct variation mean x =ky so y = x/k

(2,14) mean y = kx so 14 = k*2 so 14 = 7*2 so 14 = 14
(4,28) mean y = kx so 28 = k*4 so 28 = 7*4 so 28 = 28

from these result that the 3rd choice is right sure

6 0

3 years ago

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