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NISA [10]
2 years ago
14

Solve this please math problem asap please

Mathematics
2 answers:
Marysya12 [62]2 years ago
6 0
The answer is 87. I arrived at my answer
Gennadij [26K]2 years ago
4 0

Answer:

87

Step-by-step explanation:

Hope this helps

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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

3 0
3 years ago
(x3)(x-5)<br> Fududeey<br> X=2
Pepsi [2]

Answer:

-18 is the right answer..

4 0
3 years ago
M is between L and N. LM= 7x -1 MN = 2x 4, and LN =12. Find the value of x an determine if M is a bisector
Mademuasel [1]
12/2 = 6, so;
7x-1 = 6
7x = 7
x = 1
Because both sides are equal, you do the same for 2x+4
2x+4 = 6
2x = 2
x = 1
7 0
3 years ago
How many meters are there in 21 feet?
hichkok12 [17]
There are <u><em>6.4008 </em></u><u><em /></u><em /><u><em>meters</em></u> in <u><em>21 feet</em></u>

If you need more help I will be glad to help:D
*~"AB84"~*
6 0
3 years ago
Read 2 more answers
Which is a square matrix?
Otrada [13]
A square matrix has the same number of rows as columns. In computer graphics, square matrices are used for transformations. A rectangular matrix is one where the number of rows or columns may not be the same. ... Below is a 4 x 1 column matrix. A row matrix consists of a single row.
6 0
3 years ago
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