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forsale [732]
3 years ago
6

Find the area of the trapezoid. bı = 5, b2 = 7, h = 4 The area is square units

Mathematics
1 answer:
zmey [24]3 years ago
8 0

Answer:

24 square units

Step-by-step explanation:

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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
2
Pachacha [2.7K]

Answer:

1204

Step-by-step explanation yes uu28

5 0
2 years ago
Solve for x. x/7 - y = a<br><br> Please help as soon as possible. Thanks! =D
ololo11 [35]

Hello!

Answer:

x=7(a+y)

Step-by-step explanation:

Hope this helps!

5 0
3 years ago
Can someone give me the answer to all 3 of those
Verizon [17]

Answer:

sorry bro but i suck at math

Step-by-step explanation:

good luck tho =)

6 0
2 years ago
A triangle has a perimeter of 77 centimeters and one side is 25 centimeters. The other
Vitek1552 [10]

Answer:

  36 cm

Step-by-step explanation:

Let x represent the multiplier of the ratio units. Then the perimeter is the sum of the side lengths:

  77 = 25 + 4x +9x

  52 = 13x . . . . . . . . subtract 25

  x = 4 . . . . . . . . . divide by 13

  4x = 4(4) = 16 . . . . find the other side lengths

  9x = 9(4) = 36

The side lengths are 25 cm, 16 cm, 36 cm. The longest side is 36 cm.

8 0
2 years ago
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