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3 years ago

What’s this? I need help

Mathematics

1 answer:

ICE Princess25 [194]3 years ago

6 0

Answer:

Its PS equals QR: A

Step-by-step explanation:

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Isolate for x, y = mx + b

zavuch27 [327]

Answer:

x = (y - b)/m

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First subtract b from both sides:

y = mx + b

y (-b) = mx + b (-b)

y - b = mx

Next, divide m from both sides:

(y - b)/m = (mx)/m

x = (y - b)/m

x = (y - b)/m is your answer.

3 0

3 years ago

Read 2 more answers

The sum of 3 consecutive integers is 90. Find the largest integer if x is the smallest integer.

____ [38]

Answer:

Step-by-step explanation:

x, x+1, x+2

x + x + 1 +x + 2 = 90

3x + 3 = 90

-3 -3

3x = 87

/3 /3

x = 29

29 + 2 = 31

3 0

4 years ago

6.Tanya bought a house for $270,000. She paid

nignag [31]

Answer:

75 X 3000 = 225000

225000 + 50000 = 275000

275000 - 270000 = 5000

$5000 more

8 0

3 years ago

An organic farmer buys a piece of land. She plants tomatoes on 5/9 of the land and green beans on 1/12 of the land. She plants p

Naya [18.7K]

Well you need more info you need to know how much land she bought

8 0

4 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