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2 years ago

Find the equation of the line y= _x+_

Mathematics

1 answer:

Mekhanik [1.2K]2 years ago

8 0

Answer:

y = - $\frac{1}{3}$ x + 5

Step-by-step explanation:

The line passes the y axis at 5, so the y intercept is 5. For the slope, the line moves down one and over three, so the slope is negative 1/3.

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you are shopping for jeans. city express sells 3 pairs of jeans for $61. denim planet sells 2 pairs of jeans for $73. new thread

Kipish [7]

To find the best deal find the unit rate.
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3 0

3 years ago

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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

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

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3 years ago

I have a hard time with fractions and I need help. <br><br> 6 2/3 × 5/6=

laila [671]

When you multiply fractions you want to make them a mixed number then multiply the two top numbers together and then the bottom two together. Basically 6 2/3 would become 20/3 x 5/6... then multiply 5 and 20 together and 3 and 6 together to get 100/18... simplify from there.

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3 years ago

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Suppose that a student has $150 in a band savings account at the start of the school year. Calculate the change in that savings

Roman55 [17]

150 12 x 10=120+150= 270

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3 years ago

The price of a certain painting increased by 20% during the first year and decreased by 15% during the second year. The price of

Rina8888 [55]

Answer:

A.102%