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AlladinOne [14]
2 years ago
5

Write 240,000 as a whole number multiplied by a power of ten

Mathematics
2 answers:
eimsori [14]2 years ago
4 0
2,400,000, or if you're looking in word form, Two-Million, Four-Hundred Thousand.
Tems11 [23]2 years ago
3 0
2,400,000 your welcome
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Let n be the first 3 of consecutive even integers. what is the sum of those integers?
spayn [35]
Assuming you meant that n is the first of the 3 even integers

even integers are 2 apart

so the 3 integers are n,n+2,n+4
the sum is n+n+2+n+4=3n+6

the sum is 3n+6
3 0
3 years ago
I really don't understand how roots work with these. Please help
zheka24 [161]

Answer: This is geometry. Put point C at (-4,-3). Distance from A to C = AC = 5. Distance from C to B = CB = 9. Then ACB is a right triangle with legs AC and CB, and hypotenuse AB, so

AC^2 + CB^2 = AB^2, so

AB = √(AC^2 + CB^2) = √(5^2+9^2) = √(25+81) = √106.


However, in vector algebra, A=(-4,3) and B=(5,-2), and (A-B)=(-9,5).

distance(A,B) = √((A-B) dot (A-B)),

where (x,y) dot (x,y) = x×x + y×y.

So the answer is √((-9,5)dot(-9,5)) = √((-9)^2+5^2) = √(81+25) = √106.


This works in 3D, (x,y,z) dot (x,y,z) = x×x + y×y + z×z. distance(A,B) gives √(x^2+y^2+z^2) for distances in 3 dimensions.


In 4D, distance is √(x^2+y^2+z^2+w^2)


And in infinite dimensional Hilbert space, (x,y,z,a,b,c,...) dot (x,y,z,a,b,c,...) = x×x + ... c×c + .... distance(A,B) gives

√(x^2+...+c^2+...).


And for real valued functions, f(x) dot g(x) is roughly the sum of f(x)×g(x) over uncountably many points x from -infinity to +infinity. It's the area under h(x)=f(x)g(x).



8 0
3 years ago
The dollar price of a 1,000.00 face value bond is 991.25. this bond is listed at...
lisabon 2012 [21]
If the price is $991.25 and the value of the bond is $1,000, the bond is listed at:
\frac{991.25}{1000}= .99125 or 99.125 %
5 0
2 years ago
Read 2 more answers
Suppose a bag contains many marbles, 54% of which are purple. You draw 5 marbles from the bag with replacement.
dolphi86 [110]

Part A

Use the binomial probability distribution formula.

p = 0.54 = probability of getting a purple marble

n = 5 = sample size

x = 2 = number of purple we want to get

P(x) = \frac{n!}{x!(n-x)!}*p^x*(1-p)^{n-x}\\\\P(2) = \frac{5!}{2!(5-2)!}*0.54^2*(1-0.54)^{5-2}\\\\P(2) = 10*0.54^2*0.46^3\\\\P(2) = 0.283831776\\\\

The \frac{n!}{x!(n-x)!} portion is from the nCr combination formula. The exclamation marks indicate a factorial.

Alternatively, you could use Pascal's Triangle for that portion.

<h3>Answer: 0.283831776</h3>

This decimal value is exact. Round it however you need to.

============================================================

Part B

To find the expected value, aka the mean, we multiply the sample size and probability of getting a purple marble on any single selection.

n*p = 5*0.54 = 2.7

<h3>Answer: 2.7</h3>
6 0
1 year ago
Find the measure of the exterior angle
EastWind [94]

Answer:

A exterior angle of a polygon is an angle outside the polygon formed by one of its sides and the extension of an adjacent side.

8 0
2 years ago
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