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3 years ago

A portrait has a width of 2.5 feet and 7.2 as it’s length. What is the area of this portrait?

1 answer:

4 0

To find the area of the portrait, we multiply width and length. This gives us:
length * width = 2.5 * 7.2 = 18

Therefore the answer is 18 square feet.

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How many numbers are in the list 2008, 2003, 1998,............. 8, 3?

Helga [31]

Answer:

I don't understand what you are trying to ask? Sorry

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Determinati numarul b astfel incat : (4x8)^15 : 4^5:2^6=2^b si 3^4x3^5x3^17=3^b

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The answer is 3 becasue

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Firdavs [7]

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2 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

17 more than twice p

lukranit [14]

Answer:

2p+17

Step-by-step explanation:

twice p = p x 2 or 2p

so, 17 more than 2p (meaning 2p is increased by 17) is equal to 2p+17

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2 years ago