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2 years ago

Lowest common multiple of 6 and 10

Mathematics

2 answers:

Luden [163]2 years ago

7 0

The LCM<span> is: </span>30
Hope this helps!

BigorU [14]2 years ago

6 0

30 I think because 6 12 18 24 30 and 10 20 30

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Kyle held a balloon 8 feet off the ground, straight above his head. Ava is standing 15 feet directly to the right of Kyle.

Mazyrski [523]

Complete Question:

Kyle held a balloon 8 feet off the ground, straight above his head. Ava is standing 15 feet directly to the right of Kyle.

Write an equation using the Pythagorean Theorem to find the value of x.

How far are Ava's feet from the balloon?

Answer:

Ava's feet is 17ft away from the balloon

Step-by-step explanation:

Given

$height = 8ft$

$distance = 15ft$

The attached image represents the scenario

Using Pythagoras theorem (from the attachment), we have:

$x^2 = 8^2 + 15^2$

$x^2 = 64 + 225$

$x^2 =289$

Take square roots of both sides

$x = \sqrt{289$

$x = 17$

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3 years ago

Determine 6th term in the geometric sequence whose first term is 3 and whose common ratio is -4.

GREYUIT [131]

$a_1=3$
$a_2=-4a_1$
$a_3=-4a_2=(-4)^2a_1$
$\cdots$
$a_6=-4a_5=\cdots=(-4)^5a_1$

$\implies a_6=(-4)^5\cdot3=-3072$

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3 years ago

Gambler is deciding whether or not to take a bet. she must pay $40 to take the bet, but if she wins, she willprofit$225.theproba

Vesnalui [34]

Expected value of the bet is
the sum of the products of value of outcome and its probability,
less the amount paid to place the bet.

Outcomes value probability
win 225 1/4
lose 0 3/4
cost of bet = 40

So expected value of bet
E[X]=225*(1/4)+0*(3/4)-40
=56.25-40
=16.25

This means that in the long run, gambler will win, since the expected value is positive. (does NOT mean she will win in the next bet!)

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There are no properties of mathematical proofs
on the list of choices that you have offered.

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2 years ago

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