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maks197457 [2]
2 years ago
13

Square root of 6 - square root of 2= ?

Mathematics
1 answer:
Fittoniya [83]2 years ago
3 0

So we are given the following equation...

\sqrt{6} -\sqrt{2}

First, we must find the square root of 6!

\sqrt{6} =2.44948974

Next, lets find the square root of 2!

\sqrt{2} =1.41421356

Finally, we must subtract the two to get the final answer!

2.44948974-1.41421356=1.03527618

Round it and your final answer is 1!

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Which number has a prime factorization of 2x2x5x5x7x7
Dominik [7]

Answer:

4900

Step-by-step explanation:

multiply all those numbers together

2x2x5x5x7x7 = 4900

6 0
2 years ago
Water stations will be placed every 600 m of a 15 km race how many water stations will be needed
Jlenok [28]
I'm not sure but I think it's 40 water stations...
8 0
3 years ago
$11.25 is what percent of $375?<br> PLS Help Me!!!
Ivahew [28]

11.25/375 = 0.03 which is 3%

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3 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
3 years ago
A rectangular prism has dimensions of 2 ft, 4 ft, and 6 ft. If the dimensions are doubled, what would happen to the volume?
kondor19780726 [428]

Answer:

Volume is increased in a factor of 8. The volume is increased from 48\,ft^{3} to 384\,ft^{3}.

Step-by-step explanation:

The formula for the volume of the rectangular prism is:

V = w\cdot h \cdot l

Where:

w - Width

h - Height

l - Length

If dimensions are doubled, then volume is increased in a factor of 8:

V_{f} = (2\cdot w)\cdot (2\cdot h)\cdot (2\cdot l)

V_{f} = 8\cdot w \cdot h \cdot l

V_{f} = 8 \cdot V_{o}

The volume is increased from 48\,ft^{3} to 384\,ft^{3}.

3 0
3 years ago
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